Answer:
the answer is D
Step-by-step explanation:
What is the perimeter P of △DEF to the nearest whole number?
A triangle DEF. The length of DF is 10. The base angle E is 49 degrees and F is 42 degrees.
Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
[tex]\frac{sin E}{e} = \frac{sin F}{f}[/tex]
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 42}{f}[/tex]
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
[tex]\frac{sin E}{e} = \frac{sin D}{d}[/tex]
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
[tex]\frac{sin 49}{10}[/tex] = [tex]\frac{sin 89}{d}[/tex]
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Plz help...i am offering 10 pts...
Which of the following statements is/are true regarding the figure above?
Check all that apply.
A. It is a one-dimensional object.
B. It is a line segment.
C. It is a zero-dimensional object.
D. It is a point.
Which polynomial represents the sum below?
3x2 + 4x +3
3x2 +6x
+
O A. 6x2 + 24x+3
O B. 9x2 + 24x+3
O C. 9x2 + 10x+ 3
O D. 6x2 + 10x+3
Answer:
D
Step-by-step explanation:
5x 2 + 15x=0 is a quadratic equation.
True
False
Answer:
True
Step-by-step explanation:
the line passing through point (2, 4), parallel to the line whose equation is y = x
Answer:
y = x + 2
Step-by-step explanation:
slope = 1
y = mx + b
4 = 1(2) + b
2 = b
y = x + 2
Evaluate the following expression
(-3)-2
Answer: 2+3
Step-by-step explanation:
Answer:
Integers are whole numbers that are either positive or negative. Operation of signs is important when dealing with integers.
In this case, -3 and -2 are integers that are being added.
if we add -3 by -2 we get -6 because when a negative number is added to a negative number the negative sign does not change
thus, (-3)-2 = -5
This is a simultaneous equation question.answer and steps plz.
Answer:
Number of 10 cent coins = 14
Number of 50 cent coins = 7
Step-by-step explanation:
Let the number of coins of 10 cents = a
and the number of coins of 50 cents = b
Total count of coins = 21
a + b = 21 ---------(1)
Value of 10 cent coins = $0.10
Value of a coins of 10 cents = 0.10a
Value of 50 cent coins = $0.50
Value of b coins of 50 cents = 0.50a
The value of these coins = $4.90
0.10a + 0.50b = 4.90
a + 5b = 49 --------(2)
By subtracting equation (1) from equation (2)
(a + 5b) - (a + b) = 49 - 21
4b = 28
b = 7
From equation (1),
a + 7 = 21
a = 21 - 7
a = 14
Therefore, number of 10 cents coins = 14
number of 50 cent coins = 7
Which is not a characteristic of the linear parent function?
A. It goes through the origin.
B. The domain is all real numbers.
C. It has a slope of 1.
D. The range is positive real numbers (y > 0).
Answer: D
Step-by-step explanation:
???? Answer please anyone
Answer:
The answer is 4 3/4
I need more assistance :D Instructions: Using the image, find the distance between the points given on the graph.
Answer:
I usually explain even in the answer.
So we use som[tex]\sqrt{x}[/tex]ething called distance formula which is branched of Pythagorean theorem.
But we dont need to as it just makes it more complicated. We need to find split into 2 vectors, one vertical, and horizontal. The horizontal is 5 long.
The vertical is 1, you can find them by calculating how long is it and how tall.
Use pythogorean theorem from the formula and do 5^2+1^2 = c^2
25+1 = 26, so the answer is √26
I am pretty sure answer is right. Always take abolute value
√26
Find the quotient/correct answer
Answer & Step-by-step explanation:
In the problem, we are asked to find the quotient. The quotient is the number that we get once we divide two numbers.
We are asked to find the quotient of 9⁵ ÷ 9⁵.
When a number is divided by itself, then the answer is always going to be 1.
So, the quotient of 9⁵ ÷ 9⁵ is going to be 1.
The standard form of the equation of a parabola is y=1/2x^2 - 4x+21. What is the vertex form of the equation?
Answer:
y=1/2*(x-4)^2+13
Step-by-step explanation:
Answer:
y=1/2*(x-4)^2+13
Step-by-step explanation:
What is the range of the function f(x) = |x − 1| − 2? All real numbers all real numbers less than or equal to −2 all real numbers less than or equal to 1 all real numbers greater than or equal to −2
Answer:
B.)
Step-by-step explanation:
Took test
Direct Variation: If y = 12, when x = 4, find y when x = 20. a.40 b.48 c.12 d.60
Answer:
d
Step-by-step explanation:
Given the x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = 4, that is
12 = 4k ( divide both sides by 4 )
3 = k
y = 3k ← equation of variation
When x = 20 , then
y = 3 × 20 = 60 → d
What is the decimal equivalent of the fraction 8/10
Answer:
0.8
Step-by-step explanation:
The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10.
The decimal equivalent of 8/10 is equal to 0.8
What is a decimal number?A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32, etc.
Given here: The proper fraction is given as 8/10
All fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.
Thus we have 8/10=4/5
=0.8
Hence, the decimal equivalent of 8/10 is equal to 0.8
Learn more about fractions here:
https://brainly.com/question/29264210
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Choose the kind(s) of symmetry: point, line, plane, or none.
(A)
none
plane
point
line
it would be a Line
The line would be vertical right through the middle
can i get brainliest?
y = f(x) = 2x
Find f(x) when x = 1.
Enter the correct answer.
000
I
DONE
Clear all
000
E?
Answer:
2
Step-by-step explanation:
f(x) = 2x
Let x =1
f(1) = 2*1
f(1) = 2
Answer:
f(1)=2
Step-by-step explanation:
We are given the equation:
f(x)=2x
We also know that x=1. Therefore, we can substitute 1 in for every x.
f(1)= 2(1)
Multiply 2 and 1
f(1)=2
f(x) when x=1 is 2.
A file that is 246 megabytes is being downloaded. If the download is 12.5% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
30.8
Step-by-step explanation:
We can mutiply 246 by 0.125 to get the answer.
246 * 0.125 = 30.75 = 30.8
Answer:
30.8 megabytes
Step-by-step explanation:
We know that 12.5% of the 246 megabytes have been downloaded.
Of, means multiply. Therefore, we must multiply 12.5% and 246.
12.5%*246
Convert 12.5% to a decimal. Divide 12.5 by 100, or move the decimal place two spots to the left.
12.5/100=0.125
12.5–> 1.25 —> 0.125
0.125*246
Multiply
30.75
We need to round to the nearest tenth. The 5 in the hundredth place indicates that we must round the 7 in the tenth place up to a 8.
30.8
30.8 megabytes have been downloaded.
Sierra Movie Theater sold 189
tickets for $9.25 each on Friday
night. What was the total amount
of ticket sales for that night?
Answer:
$1748.25
Step-by-step explanation:
Multiply:
($9.25/ticket)(189 tickets) = $1748.25 (total amount of ticket sales)
I WILL MARK CORRECT AS BRAINLIEST THIS IS URGENT! NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
20 POINTS EVERYONE!
Answer:
A
Step-by-step explanation:
Ramla has two full 1.5 litre bottles of water. She wants to fill as many glasses as possible with water from the bottles. Each glass can hold 180 millilitres of water.
How many glasses can Ramla completely fill?
Answer:
8 glasses
Step-by-step explanation:
Total volume : 1500 ml
Glasses capacity : 180 ml
Glasses can be filled : 1500 / 180 = 8.33
Notice it says completely fill thus it is 8 glasses
A town's population is 33.950. About 100 people move out of the town cach month. Each month, 125 people on average move into town. A nearby
town has a population of 35,700. It has no one moving in and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Pick the correct equation to model the situation. Then solve the equation and answer the question,
A. 125m-100m+35,700-33,950-150m
B. 125m-100m+33,950-35,700-150m
C. 125m+100m+35,700-33,950+150m
D. 125m+100m+33,950-35,700+150m
The correct equation is choice letter
months
The towns will have equal populations in about
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Let 'm' be the number of months and 'y' be the population. Then the equations are given as,
y = (125 - 100) m + 33,950
y = 25m + 33950 ...1
y = 150m + 35700 ...2
From equations 1 and 2, then we have
150m + 35700 = (125 - 100) m + 33950
125m - 100m + 33950 - 35700 - 150m = 0
175m = 1750
m = 10 months
The equaitons are y = 25m + 33950 and y = 150m + 35700. Then the number of months will be 10 months. Then the correct option is B.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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simplify a^3 x b x a^3 x b
Answer:
[tex] {a}^{6} {b}^{2} [/tex]
solution
[tex] {a}^{3} \times b \times {a}^{3} \times b \\ = {a}^{3 + 3} \times {b}^{1 + 1} \\ = {a}^{6} {b}^{2} [/tex]
hope this helps...
Good luck on your assignment..
Answer:
[tex]a^{6}b^{2}[/tex]
Step-by-step explanation:
[tex]a^3 \times b \times a^3 \times b[/tex]
If there are no exponents written, then the exponent is 1.
[tex]a^3 \times b^1 \times a^3 \times b^1[/tex]
When multiplying two powers that have the same base, you can add the exponents.
[tex]a^{3+3} \times b^{1+1}[/tex]
[tex]a^{6} \times b^{2}[/tex]
what is the mean of this set {6,7,9,9,9}
Answer:
8
Step-by-step explanation:
To find the mean, or average of a data set, add all the values together, then divide by the number of values.
The data set is: 6,7,9,9,9
1. Add all the values
Add 6,7,9,9 and 9
6+7+9+9+9
40
2. Divide by the number of values
Count how many numbers are in the data set. In this case, there are 5 numbers.
Divide 40 by 5.
40/5
8
The mean of the data set is 8.
Steps:
Mean x: 8
Median x: 9
Mode: 9
Range: 3
Minimum: 6
Maximum: 9
Count: 5
Sum: 40
1: 6+7+9+9+9
2: =40
3: 40 divided by 5
4: = 8
Description:
The mean for this set is 8. We know this because when we add all the numbers = 40 then divided it by 5 = 8.
5 is the total numbers there
Please mark brainliest
Hope this helps.
Is the triangle with sides 1.7 in., 1.1 in., and 2 in. a right triangle? Explain.
Answer:
No
Step-by-step explanation:
This is because those 3 values are not pythagorean triples
2² is not equal to 1.7² + 1.1²
Ix
Which expression is equivalent to 6-(-8)?
-6+8
-6+(-8)
6+(-8)
6 + 8
Answer:
6 + 8
Step-by-step explanation:
6-(-8)= 6+8
Answer the following Questions
Which of the following points lie on the x-axis?
A(1, 1), B (1.0). c (0,1)D (0,0), E (-1,0), F (0-1), G (4,0), H (0,7)
Answer:
B, D, E and G lies on X axis
Is it possible to form a triangle with
side lengths 5, 3, and 5 units?
Answer:
Yes
Step-by-step explanation:
Isosceles triangle with base of 3 units and sides of 5 units
Answer:
yes
Step-by-step explanation:
use a+b > c, a+c > b, and b+c > a if two sides are bigger than one side for every combination then you can form a triangle
Two statements are given-one labeled Assertion (A) and the other labeled Reason(R). Select the correct answer to these questions from the codes (i), (ii), (iii) and (iv) as given below i) Both A and R are true and R is the correct explanation of the assertion ii) Both A and R are true and R is not the correct explanation of the assertion iii) A is true but R is false iv) A is false but R is true Assertion: Calcium oxide reacts vigorously with water to produce calcium hydroxide, releasing a large amount of heat. Reason: The above reaction is a combination reaction as it gives only a single product.
Answer: i) Both A and R are true and R is the correct explanation of the assertion
Step-by-step explanation:
When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.
A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.