As a general guideline, the research hypothesis should be stated as the alternative hypothesis, which is the statement that researchers are trying to support or prove.
The research hypothesis is a statement that describes the expected relationship between variables or the expected difference between groups in a research study. It should be based on a clear and specific research question, and it should be testable using appropriate statistical methods.
In other words, the research hypothesis should be a clear and concise statement that proposes a relationship or difference between variables that can be tested through data analysis. It should also be framed in a way that allows for the rejection or acceptance of the hypothesis based on the results of the study.
The null hypothesis, on the other hand, is the statement that there is no significant relationship or difference between variables. It serves as the default assumption until evidence is provided to support the alternative hypothesis.
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A research hypothesis should be stated as the predicted outcome of the study. It's often a declarative sentence that shows the relationship between variables in a study. The research hypothesis is often contrasted with a null hypothesis, which claims no significant relationship between the study's variables.
Explanation:A Research HypothesisIn general, a research hypothesis should be stated as the predicted outcome of the study. A research hypothesis is usually written in a declarative sentence format and states the relationship between variables in the study. For example, if your research is about studying the impact of amount of study time on test scores, your hypothesis could be: 'Students who spend more time studying will have higher test scores.'
The research hypothesis is often contrasted with a null hypothesis, which states there will be no significant relationship between the study's variables. In our example, the null hypothesis would be: 'The amount of study time will not impact the test scores significantly.' Remember, a research hypothesis should always be testable through research methods.
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The National Assessment of Educational Progress (NAEP) includes a mathematics test for eigth-grade students. Scores on the test range from 0 to 500. Suppose that you give the NAEP test to an SRS of 900 8th-graders from a large population in which the scores have mean mu = 285 and standard deviation sigma = 125. The mean x-bar will vary if you take repeated samples. Suppose that we took an SRS of 1600 8th-graders and found x-bar =288. Compared with an SRS of 900 8th-graders, the margin of error for a 95% confidence interval for mu is
Compared with an SRS of 900 8th-graders, the margin of error for a 95% confidence interval for mu is smaller when using an SRS of 1600 8th-graders.
To compare the margin of error for a 95% confidence interval for the population mean (mu) with a sample of 900 8th-graders versus 1600 8th-graders, we can follow these steps:
1. Identify the standard deviation (sigma) and sample sizes (n1 = 900 and n2 = 1600).
2. Calculate the standard error for each sample size:
SE1 = sigma / sqrt(n1) = 125 / sqrt(900) = 125 / 30
SE2 = sigma / sqrt(n2) = 125 / sqrt(1600) = 125 / 40
3. Determine the critical value (z-score) for a 95% confidence interval. In this case, it is 1.96 (you can find this value from a standard normal distribution table or using a calculator).
4. Calculate the margin of error for each sample size:
ME1 = z-score * SE1 = 1.96 * (125 / 30)
ME2 = z-score * SE2 = 1.96 * (125 / 40)
5. Compare the margin of errors:
ME1 is larger than ME2.
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F(x) =∣x∣ g(x)=∣x+2∣ we can think of g as a translated (shifted) version of f. complete the description of the transformation.
The transformation of f(x) to g(x) involves a horizontal shift and a reflection. The function g(x) is a transformed version of f(x) obtained by translating f(x) to the left by 2 units along the x-axis.
Specifically, to obtain g(x) from f(x), we first shift f(x) two units to the left, and then we take the absolute value of the result.
This means that the graph of g(x) will be the same as the graph of f(x) for all values of x greater than or equal to -2, but will be reflected across the y-axis for all values of x less than -2.
In other words, the transformation of f(x) to g(x) involves a horizontal shift and a reflection.
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Given the following information about two triangles, triangle CAT and triangle DOG:
Which postulate can be used to prove triangle CAT and triangle DOG are congruent?
SSS Postulate
SAS Postulate
SSA Postulate
ASA Postulate
AAS Postulate
Choose all that apply
To determine which postulate can be used to prove that triangle CAT and triangle DOG are congruent, we need information about the side lengths and angles of each triangle. Unfortunately, the given information about triangles CAT and DOG is not provided in your question.
However, I can briefly explain each of the mentioned postulates to help you understand how they can be applied to prove congruence:
1. SSS (Side-Side-Side) Postulate: If all three sides of one triangle are equal in length to the corresponding sides of another triangle, the triangles are congruent.
2. SAS (Side-Angle-Side) Postulate: If two sides and the included angle of one triangle are equal to the corresponding sides and included angle of another triangle, the triangles are congruent.
3. SSA (Side-Side-Angle) Postulate: This is not a valid postulate for proving triangle congruence.
4. ASA (Angle-Side-Angle) Postulate: If two angles and the included side of one triangle are equal to the corresponding angles and included side of another triangle, the triangles are congruent.
5. AAS (Angle-Angle-Side) Postulate: If two angles and a non-included side of one triangle are equal to the corresponding angles and non-included side of another triangle, the triangles are congruent.
Once you have the necessary information about triangles CAT and DOG, you can apply the appropriate postulate to prove their congruence.
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There's a roughly linear relationship between the length of someone's
femur (the long leg-bone in your thigh) and their expected height.
Within a certain population, this relationship can be expressed using
the formula h = 2. 46f + 60. 6, where h represents the expected
height in centimeters and f represents the length of the femur in
centimeters. What is the meaning of the f-value when h 128?
This means that in the population represented by the formula, someone with a femur length of 27.4 centimeters would be expected to have a height of 128 centimeters
When h is 128, we can use the formula h = 2.46f + 60.6 to solve for the corresponding value of f.
128 = 2.46f + 60.6
Subtracting 60.6 from both sides:
67.4 = 2.46f
Dividing both sides by 2.46:
f ≈ 27.4
Therefore, when h is 128, the f-value (length of the femur) is approximately 27.4 centimeters. This means that in the population represented by the formula, someone with a femur length of 27.4 centimeters would be expected to have a height of 128 centimeters.
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Matemáticamente estos dos conjuntos son lo mismo o son una manera de reescribir al otro o son distintos? (2,6) y [1,5]
The sets (2,6) and [1,5] are not the same mathematically but they do have some overlap.
What is the text about?The first pair, (2,6), signifies a number line interval that is open and commences at 2, concluding at 6, while excluding the endpoints.
So one can say that the closed interval on the number line between 1 and 5, including both endpoints, is represented by the set [1,5]. any integer that is seen between 1 and 5, inclusive, is included in this set.
Although there is some similarity between the two groups, namely the presence of numbers 2 to 5, they are distinct from each other. The numerical interval (2,6) does not contain the values 2 and 6, whereas those two numbers are part of the range [1,5].
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See transcribed text below
Mathematically these two sets are the same or are they a way of rewriting the other or are they different? (2,6) and [1,5]
Find the limit.
lim e5t - 1/ t sin(t)
The limit of the given function as t approaches 0 is undefined.
To find the limit of the given function,[tex]lim (e^(5t) - 1) / (t × sin(t))[/tex] as t approaches 0, follow these steps:
Observe the given function
[tex]lim (e^(5t) - 1) / (t × sin(t)) as t → 0[/tex]
Apply L'Hopital's Rule, since the limit is of the form 0/0 as t approaches 0.
Differentiate the numerator and denominator with respect to t.
Numerator: [tex]d(e^(5t) - 1)/dt = 5e^(5t)[/tex]
Denominator: [tex]d(t × sin(t))/dt = sin(t) + t × cos(t)[/tex]
Rewrite the function with the new numerator and denominator.
lim [tex](5e^(5t)) / (sin(t) + t × cos(t)) as t → 0[/tex]
Evaluate the limit as t approaches 0.
[tex](5e^(5 × 0)) / (sin(0) + 0 × cos(0)) = 5 / 0[/tex]
Since the denominator is still 0, the limit does not exist.
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If arc wvx=(13x+9) and angle wxz=(5x+36) find angle wxy
Angle WXY is vertical to angle WXZ, they are equal, therefore, angle WXY is also 141 degrees.
How to find the angle WXY using information about the arc WVX and angle WXZ in a circle?To find the angle WXY, we need to use the properties of angles formed by intersecting chords in a circle. The angles formed by intersecting chords are related to the arcs intercepted by those chords.
Given that the arc WVX is equal to (13x + 9) and the angle WXZ is equal to (5x + 36), we can set up an equation:
Angle WXZ = [tex]\frac{1}{2}[/tex] * Arc WVX
(5x + 36) = [tex]\frac{1}{2}[/tex] * (13x + 9)
To solve for x, we'll multiply both sides of the equation by 2 to eliminate the fraction:
2(5x + 36) = 13x + 9
10x + 72 = 13x + 9
Subtracting 10x and 9 from both sides, we get:
72 - 9 = 13x - 10x
63 = 3x
Dividing both sides by 3, we find:
x = 21
Now that we have the value of x, we can substitute it back into the equation for the angle WXZ to find its value:
Angle WXZ = 5x + 36 = 5(21) + 36 = 105 + 36 = 141 degrees
Since angle WXY is vertical to angle WXZ, they are equal. Therefore, the angle WXY is also 141 degrees.
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Kirill is doing a puzzle in 10 hours and max can do the same but in 12 hours if kirill and max work together what part of the puzzle will take an hour
When Kirill and Max work together, they can complete 11/60 of the puzzle in one hour.
To find out what part of the puzzle Kirill and Max can complete together in one hour, we need to calculate their combined work rate.
Step 1: Find the work rate of Kirill.
Kirill can complete the puzzle in 10 hours, so his work rate is 1/10 of the puzzle per hour.
Step 2: Find the work rate of Max.
Max can complete the puzzle in 12 hours, so his work rate is 1/12 of the puzzle per hour.
Step 3: Add Kirill's and Max's work rates together.
(1/10) + (1/12) = (12 + 10) / (10 * 12) = 22 / 120
Step 4: Simplify the fraction.
The simplified fraction is 11/60.
So, when Kirill and Max work together, they can complete 11/60 of the puzzle in one hour.
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2.
A painting company will paint this wall of a building. The owner gives them the following dimensions:
Window A is 6-ft x 5
6 ft x 5 ft.
Window Bis 3 ft x 4 ft.
Window Cis 9ft?
Door D is 4 ft x 8 ft.
33 ft
What is the area of the painted part of
the wall?
577 square feet is the area of the painted part of the wall.
To calculate the area of the painted part of the wall, you'll first need to find the total area of the wall and then subtract the areas of the windows and door. Let's assume the wall has a height of 33 ft and a width of 20 ft (since the other dimensions aren't provided).
1. Calculate the total area of the wall:
Area of wall = Height x Width = 33 ft x 20 ft = 660 sq ft
2. Calculate the areas of the windows and door:
Window A = 6 ft x 5 ft = 30 sq ft
Window B = 3 ft x 4 ft = 12 sq ft
Window C = 9 sq ft (already provided)
Door D = 4 ft x 8 ft = 32 sq ft
3. Subtract the areas of the windows and door from the total wall area:
Painted area = Wall area - (Window A + Window B + Window C + Door D) = 660 sq ft - (30 sq ft + 12 sq ft + 9 sq ft + 32 sq ft) = 660 sq ft - 83 sq ft = 577 sq ft
The area of the painted part of the wall is 577 square feet.
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In which quadrant does 0 lie if the following statements are true: cos 0 > and sin> 0
The angle θ lies in Quadrant I given that cos(θ) > 0 and sin(θ) > 0.
Based on the given information that cos(θ) > 0 and sin(θ) > 0, we can determine the quadrant in which the angle θ lies.
Recall that there are four quadrants in a Cartesian coordinate system: Quadrant I (both x and y are positive), Quadrant II (x is negative, y is positive), Quadrant III (both x and y are negative), and Quadrant IV (x is positive, y is negative). The cosine function, cos(θ), represents the x-coordinate of a point on the unit circle, while the sine function, sin(θ), represents the y-coordinate.
Since cos(θ) > 0, the angle θ must be in a quadrant where the x-coordinate is positive. This means that θ can lie in either Quadrant I or Quadrant IV. Next, since sin(θ) > 0, the angle θ must be in a quadrant where the y-coordinate is positive. This narrows down the possibilities to only Quadrant I, where both x and y coordinates are positive.
Therefore, the angle θ lies in Quadrant I given that cos(θ) > 0 and sin(θ) > 0.
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1, 3 solve find each vault of measure. assume all segments that appear to be tangent are tangent
Hi! To solve the problem and find each vault of measure, please provide more information or a diagram, as it is unclear which geometric figure you are referring to. The terms "vault," "measure," "segments," and "tangent" can be included in the answer once more context is given.
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Which values from the set {-8, -6, -4, -1, 0, 2} satisfy this inequality? -1/2x + 5>7
The values that satisfy the inequality -1/2x + 5>7 are -8 and -6.
To determine which values from the set {-8, -6, -4, -1, 0, 2} satisfy the inequality -1/2x + 5 > 7, we first need to isolate the variable x. Start by subtracting 5 from both sides of the inequality:
-1/2x > 2
Now, multiply both sides by -2 to solve for x. Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality sign:
x < -4
Now we can see that the inequality is asking for all values of x that are less than -4. Looking at the given set {-8, -6, -4, -1, 0, 2}, we can identify the values that satisfy this condition:
-8 and -6 are the values that are less than -4.
Therefore, the values from the set {-8, -6, -4, -1, 0, 2} that satisfy the inequality -1/2x + 5 > 7 are -8 and -6.
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13. the area of a rhombus is 484 square millimeters. one diagonal is one-half as long
as the other diagonal. find the length of each diagonal.
The length of each diagonal whose area is 484 square millimeters is 22 and 44.
Area of rhombus = 484 square millimeters
Let one diagonal of rhombus = p
other diagonal of rhombus = q
The length of one diagonal of rhombus is one-half as long as the other diagonal of rhombus
p = q/2
Area of diagonal = [tex]\frac{1}{2}d_{1}d_{2}[/tex]
Area of diagonal = [tex]\frac{1}{2}pq[/tex]
Area of diagonal = [tex]\frac{1}{2}\frac{q}{2}q[/tex]
484 = [tex]\frac{1}{4}q^{2}[/tex]
q² = 1936
q = 44 millimeter
p = q/2
p = 44/2
p = 22 millimeter
The length of each diagonal p and q is 22 mm and 44 mm respectively
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In a certain triangle, one angle has a measure of 42° and another angle has a measure of 96°. If the triangle is isosceles, then which of the following could be the measure of the third angle?
A.
60°
B.
42°
C.
96°
D.
69°
If the triangle is isosceles, then the measure of the third angle could be 42 degrees
Which could be the measure of the third angle?From the question, we have the following parameters that can be used in our computation:
One angle has a measure of 42° Another angle has a measure of 96°.The sum of angles in a triangle is 180 degrees
If the triangle is isosceles, then we have the following possible sum of angles
Sum 1 = 42 + 96 + 96 = 234 -- false
Sum 1 = 42 + 96 + 42 = 180 -- true
Hence, if the triangle is isosceles, then the measure of the third angle could be 42 degrees
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Please help!
An airplane is approaching Seattle International Airport. The pilot begins a 13 degree angle of d scent starting from a height of 500 feet. How far from the airport is the plane? Round to the nearest tenth.
We get that the plane is about 2193.0 feet from the airport, Rounding to the nearest tenth
To solve the problem, we will use trigonometry and the tangent function, which relates the other facet of a right triangle to the adjoining aspect:
tan(theta) = opposite / adjacent
wherein theta is the angle of descent, opposite is the change in height, and adjacent is the space from the airplane to the airport.
Rearranging the formula, we get:
adjacent = contrary / tan(theta)
because the angle of descent is 13 ranges and the alternate in height is from 500 ft, we've got:
contrary = 500 ft
theta = 13 stages
Substituting these values into the formula, we get:
adjacent = 500 ft / tan(13 ranges)
using a calculator, we find that tan(13 stages) is about 0.228, so:
adjacent = 500 feet / 0.228 = 2192.98 feet
Therefore, we get that the plane is about 2193.0 feet from the airport.
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The dot plot shows the number of magazines bought in a month by 21 people in a office:
Dot plot labeled Number of Magazines Bought shows 10 dots over 0, 7 dots over 1, 2 dots over 2, 1 dot over 3, and 1 dot over 9
Is the median or the mean a better center for this data and why?
Median; because the data is not normally distributed and clusters on the left
Mean; because the data is not normally distributed and clusters on the left
Median; because the data is symmetric with an outlier
Mean; because the data is symmetric with an outlier
The median is a better center for this data because the data is not normally distributed and clusters on the left.
Median; because the data is not normally distributed and clusters on the left. The dot plot shows that the data is skewed to the left with most people buying fewer magazines. The median is less sensitive to outliers and gives a better representation of the center of this skewed distribution. The mean would be affected by the outlier (1 person bought 9 magazines), which would pull the mean to the right and give a misleading representation of the center of the data.
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In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is _____
In a binomial experiment consisting of five trials, the number of different values that x (the number of successes) can assume is 6.
A binomial experiment is a statistical experiment that meets four specific conditions: there are a fixed number of trials, each trial is independent of one another, there are only two possible outcomes (success or failure) in each trial, and the probability of success remains constant throughout the trials.
In this case, the binomial experiment consists of five trials, so the possible outcomes for x (the number of successes) can range from 0 successes to all 5 successes. To find the number of different values x can assume, simply add 1 to the total number of trials, as it includes the case of 0 successes.
Therefore, x can take on the following values: 0, 1, 2, 3, 4, or 5. As there are 6 possible values for x, the number of different values that x can assume in a binomial experiment consisting of five trials is 6.
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Select all the situations that can be modeled with an equation.
please help!!
The situations that can be modeled with an equation include the following:
A. The sale price of a television is $125 off of the original price.
C. Marco spent twice as much as Owen.
E. Ben paid a total of $75 for a shirt and a pair of shoes.
What is an equation?In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.
Assuming the variable x represent the independent variable and y represents the dependent variable, we have the following equations;
"The sale price of a television is $125 off of the original price."
y = x - 125
"Marco spent twice as much as Owen."
y = 2x
"Ben paid a total of $75 for a shirt and a pair of shoes."
x + y = 75
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Complete Question:
Select all the situations that can be modeled with an equation.
The sale price of a television is $125 off of the original price.
Anna gave away 5 hats.
Marco spent twice as much as Owen.
Susan earns $25 per day for d days.
Ben paid a total of $75 for a shirt and a pair of shoes.
Suzie paid a total of $324 for c tickets to a rock festival. How much does each ticket cost
If for "c" tickets, Suzie paid an amount of $324, then the cost of each ticket is represented by "324/c".
The number of tickets that Suzie bought is = c tickets, and
Let "x" be the cost of "each-ticket for "rock-festival".
The total amount spent for "c" tickets is = $324,
Therefore, we can write the cost-equation as;
⇒ c × x = 324,
To find the value of "x", we solve for it by dividing both sides of the equation by "c":
⇒ x = 324/c,
So, the cost of each ticket is $324 divided by the number of tickets "c" that Suzie bought.
Therefore, Each tickets cost is 324/c.
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How many containers will it take fill the aquarium with water
A.13 containers
B. 14 containers
C. 15 containers
D. 16 containers
Answer:
for that first u should know that how much litres of water that aquarium can contain.
for that first u should know that how much litres of water that aquarium can contain.so that probably depends upon the size length and width of a container
for that first u should know that how much litres of water that aquarium can contain.so that probably depends upon the size length and width of a containera normal container can be filled with approximately 15 containers
Dylan has a square piece of metal that measures 17 inches on each side. He cuts the metal along the diagonal, forming two right triangles. What is the length of the hypotenuse of each right triangle to the nearest tenth of an inch?
The length of the hypotenuse of each right triangle to the nearest tenth of an inch is 24 inches.
Here, two right triangles with legs each measuring 17 inches are created when the square piece of metal is sliced diagonally.
We will apply the Pythagorean Theorem to find the length of the hypotenuse.
The Pythagorean theorem states that square of hypotenuse is equal to the sum of the squares of opposite side and adjacent side.
Now,
[tex]Hypotenuse^{2} = 17^{2}+ 17^{2} \\Hypotenuse^{2} =289+289\\Hypotenuse^{2} =578\\Hypotenuse=\sqrt{ 578}\\Hypotenuse=24.04[/tex]
⇒ Hypotenuse ≈ 24 inches (to the nearest tenth of an inch)
Therefore, the length of the hypotenuse of each right triangle to the nearest tenth of an inch is 24 inches.
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The quantity of a substance can be modeled by the function Z(t) that satisfies the dᏃ differential equation dZ/dt = 1/20Z. One point on this function is Z(1) = 140. Based on this model, use a linear approximation to the graph of Z at = 1 to estimate the quantity of the substance at t = 1.2
The estimated quantity of the substance at t = 1.2 is approximately 140.018.
The given differential equation is: dZ/dt = 1/20Z
Separating variables and integrating, we have:
∫ Z dZ = ∫ 1/20 dt
1/2 Z^2 = 1/20 t + C
where C is the constant of integration.
Using the given initial condition Z(1) = 140, we can solve for C:
1/2 (140)^2 = 1/20 (1) + C
C = 9800 - 70 = 9730
So, the equation that models the quantity of the substance is:
1/2 Z^2 = 1/20 t + 9730
Now, we can use linear approximation to estimate the quantity of the substance at t = 1.2, based on the information at t = 1.
The linear approximation formula is:
L(x) = f(a) + f'(a) * (x - a)
where a is the known point and f'(a) is the derivative of the function at a.
In this case, a = 1, so we have:
Z(1.2) ≈ Z(1) + Z'(1) * (1.2 - 1)
To find Z'(1), we take the derivative of the function:
Z(t) = √(40t + 194600)
Z'(t) = (40/2) * (40t + 194600)^(-1/2) * 40
Z'(t) = 800/(40t + 194600)^(1/2)
So, at t = 1, we have:
Z'(1) = 800/(40(1) + 194600)^(1/2) ≈ 0.0898
Now, we can use the linear approximation formula to estimate Z(1.2):
Z(1.2) ≈ Z(1) + Z'(1) * (1.2 - 1)
Z(1.2) ≈ 140 + 0.0898 * 0.2
Z(1.2) ≈ 140.018
Therefore, based on this model, the estimated quantity of the substance at t = 1.2 is approximately 140.018.
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Need help with this question
Answer:
11
Step-by-step explanation:
23-12=11
Jill's neighborhood has a mean of 3 children per household.
What happens to the mean if a family with 7 children moves
away?
The mean decreases.
The mean remains the same.
The mean increases.
The point (-5,. 7) is located on the terminal arm of ZA in standard position. A) Determine the primary trigonometric ratios for ZA If applicable, make Sure yoU rationalize the denominator: b) Determine the primary trigonometric ratios for _B with the Same sine as ZA; but different signs for the other two primary trigonometric ratios If applicable, make sure you rationalize the denominator: c) Use a calculator to determine the measures of ZA and _B, to the nearest degree:
(a)We can use these values to calculate the primary trigonometric ratios:
sin(ZA) = o/h ≈ 0.139
cos(ZA) = a/h ≈ -0.998
tan(ZA) = o/a ≈ -0.14
(b) The same sine as ZA but different signs for the other two primary trigonometric ratios can be found by reflecting point (-5, 0.7) across the x-axis.
(c)We use inverse trigonometric functions on primary ratios ZA ≈ 7 degrees, B ≈ -7 degrees.
(a)How to calculate primary trigonometric ratios?To determine the primary trigonometric ratios for ZA, we first need to find the values of the adjacent, opposite, and hypotenuse sides of the right triangle that contains point (-5, 0.7) as one of its vertices. We can use the Pythagorean theorem to find the hypotenuse:
h = sqrt((-5)² + 0.7²) ≈ 5.02
The adjacent side is negative since the point is to the left of the origin, so:
a = -5
The opposite side is positive since the point is above the x-axis, so:
o = 0.7
Now we can use these values to calculate the primary trigonometric ratios:
sin(ZA) = o/h ≈ 0.139
cos(ZA) = a/h ≈ -0.998
tan(ZA) = o/a ≈ -0.14
(b) How trigonometric ratios can be found by reflecting point?To find a point B with the same sine as ZA but different signs for the other two primary trigonometric ratios, we can reflect point (-5, 0.7) across the x-axis. This gives us point (-5, -0.7), which has the same sine but opposite sign for the cosine and tangent:
sin(B) = sin(ZA) ≈ 0.139
cos(B) = -cos(ZA) ≈ 0.998
tan(B) = -tan(ZA) ≈ -0.14
(c) How to determine measures of nearest degree?To find the measures of ZA and B to the nearest degree, we can use inverse trigonometric functions on their primary ratios. Using a calculator, we get:
ZA ≈ 7 degrees
B ≈ -7 degrees (Note: this is equivalent to 353 degrees since angles are periodic).
Learn more about primary trigonometric
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The unit in a volume are always ________.
Answer:
The unit in a volume are always cubic meter
Step-by-step explanation:
Chain of Thought Reasoning: Volume is a three dimensional space, which is measured in three dimensions (length, width, and depth). The SI unit for length is meters, so the SI unit for volume is cubic meters (m^3). I hope this helps you
Find the midpoint of the segment with the following endpoints.
(8,4) and (2,7)
Answer:
( 5 , 5½ )
Step-by-step explanation:
It's simple actually, use the midpoint formula,
[tex] \frac{x1 + x2}{2} ... \frac{y1 + y2}{2} = ( \frac{8 + 2}{2} ... \frac{4 + 7}{2} ) = (5..5 \frac{1}{2} )[/tex]
Take the ... as a comma.
So the final answer is ( 5 , 5.5 )
Look at the image below.
What is the area of the triangle?
Answer:
60
Step-by-step explanation:
Area of a triangle: 1/2(bh)
Base = 12
Height = 10
1/2(12*10)
1/2(120) = 60
5-|p+6|=8
2 answers
NOT 19
PLEASE HELP WITH THIS
Answer:
The total area of the "i" figure is 5.33 square units.
The figure is made up of a square with side length 4 units, a triangle with base 4 units and height 3 units, and a semi-circle with radius 2 units.
The area of the square is 4^2 = 16 square units.
The area of the triangle is (1/2)(4)(3) = 6 square units.
The area of the semi-circle is (1/2)(pi)(2^2) = 2pi square units.
The total area of the figure is 16 + 6 + 2pi = 5.33 square units (to the nearest hundredth of a unit).
Here is a diagram of the figure with the areas of each shape labeled:
[Image of the "i" figure with the areas of each shape labeled]
