Answer:
0.25 rad to the nearest hundredth radian
Step-by-step explanation:
Here is the complete question
Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.
R(θ) = v₀²sin2θ/32
If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.
(θ)= ?rad
Solution
R(θ) = v₀²sin2θ/32
If v₀ = 80 ft/s and R(θ) = 95 ft
θ = [sin⁻¹(32R(θ)/v₀²)]/2
= [sin⁻¹(32 × 95/80²)]/2
= [sin⁻¹(3040/6400)]/2
= [sin⁻¹(0.475)]/2
= 28.36°/2
= 14.18°
Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad
= 0.25 rad to the nearest hundredth radian
Answer:
Theta= 0.32 rad
or Theta= 1.25 rad
Step-by-step explanation:
On the Aleks explanation
How do I find value of X
Answer:
147°
Step-by-step explanation:
106°+139°+126°+141°+112°+129°+x =900°
753°+x = 900°
x = 900°-753°
x= 147° (sum of the interior angles of a heptagon=900°)
Consider the diagram. Lines a and d are?
Answer:
perpendicular
Step-by-step explanation:
They form a 90 degree angle
The image shows a geometric representation of the function f(x) = x2 – 2x – 6 written in standard form. An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot: 1 + x squared, 2 negative x, 6 negative. What is this function written in vertex form? f(x) = (x –1)2 – 7 f(x) = (x +1)2 – 7 f(x) = (x –1)2 – 5 f(x) = (x +1)2 – 5
Answer: A on Edge
Step-by-step explanation:
f(x) = (x –1)2 – 7
Answer:
A
Step-by-step explanation:
find the circumference
Answer:
C=37.680
Step-by-step explanation:
The diameter is 2x the radius, so 6x2 is 12. 12x3.14 = 37.680.
[tex]answer \\ 37.68 \: ft \\ solution \\ r = 6 \: ft \\ d = 6 \times 2 = 12 \: ft \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 37.68 \: ft \\ hope \: it \: helps[/tex]
What is the answer ?????????????????
Answer:
The answer is :
[tex] \cos(51) = 0.63[/tex]
[tex] \sin(63) = 0.89[/tex]
[tex] \tan(12) = 0.21[/tex]
Suppose you observe the number of passengers arriving at a metro station on a shuttle bus that holds up to 8 passengers. Describe the sample space.
Answer:
Sample space can be describes as:
S = {0,1,2,3,4,5,6,7,8}
Step-by-step explanation:
Usually used in probability questions, a sample space is defined as a set of collection of all possible outcomes. It is the list of all possible results.
Sample spaces are usually written using set notation, where each possible outcome is listed only once within curly bracket.
S = {outcome 1, outcome 2, ..........}
As it is given the a bus can hold up to 8 passengers. We need to find the sample space of to number of passengers actually riding the bus.
So the minimum numbers of passengers is 0
The maximum numbers of passengers is 8
So the numbers of passengers lies between 0 and 8.
What should be added to both sides of this equation to solve for the variable?
-6 + f = 13
Answer:
Nesesito ayuda sobre estas dos preguntas la1 y la ocho pero tiene que tener sentido con las demas
Step-by-step explanation:
Answer:
1. 6 should be added to both sides
2. f=19
Step-by-step explanation:
When solving equations like this, we have to isolate the variable. To do this, perform the inverse operation to both sides of the equation.
-6+f=13
This can be rewritten as:
f-6=13
6 is being subtracted from f. In order to get f by itself, we have to get rid of the 6 being subtracted from f. The inverse of subtraction is addition. Add 6 to both sides.
f-6+6=13+6
f= 13+6
f=19
POR FA AYUDA URGENTEMENTE Dado los puntos A(-1;3) , B(2;5) y C(3;-1). Calcule 3(BA)VECTOR - 4 (CB)VECTOR
Answer:
the answer should be c
Step-by-step explanation:
Cristian, iris, and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?
Answer:
Model B or 1/3 of the Pizza
Answer:
1/3
Step-by-step explanation:
model 1/3
Which table shows a function that is decreasing only over the interval (–1, ∞)? A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.
Answer:
Your answer is B.
Have a great day!
Step-by-step explanation:
I'm so sorry that I do not have an explanation for you. I truly am.
Answer:
B
Step-by-step explanation:
true or false ? why and why not ?
7a + 4 - 2a is equivalent to 7a + -2a + 4
Find the number missing from the following equivalent fractions 20/35=4/?
The missing number is 7.
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
2) The fish population in a local stream is decreasing at a rate of 3% per year. The population in 2005 was 48,000. What is the population now?
Answer:
30396 fish.
Step-by-step explanation:
We are in 2020, that is, 15 years have passed since 2005, to calculate the population it would be:
The first year there would be 48,000, then each year it decreases by 3%, that is, the first one was like this:
48000 - 48000 * 0.03
That is to say:
48000 * (1 - 0.03)
Now, depending on the year number it would be:
48000 * (1-0.03) ^ n
But how were 15 years n = 15, then:
48000 * (1-0.03) ^ 15 = 30396.057
The fish population would be 30396 fish.
Evaluate −6 − (−4).
A. −10
B. 24
C. −2
D. 2
Answer:
The answer is -2
Step-by-step explanation:
-6 + 4 = -2
The Side-Side-Side (SSS) similarity theorem states that triangles are similar if the corresponding sides of the triangles are congruent.
True
False
Answer:
False
Step-by-step explanation:
When triangles are similar, their sides are proportional, not congruent.
I hope this helps :))
another EASY question for y’all mathy people, easy points! Question in photo.
Answer:
the answer is c
Step-by-step explanation:
*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!
Use the diagram to answer the questions. Find the value of Z. *Use image given above* :)
Step-by-step explanation:
We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!
Answer:
70
Step-by-step explanation:
Z is part of a right angle so 90-20 is 70
Brenda collected this data from an experiment.
For the line of fit h = 0.6t + 0.44, what is the residual of the data point at t = 11?
Answer:
7.04
Step-by-step explanation:
To get the value of residual of the data point, we simply substitute 11 for t
The substitution equation is h = 0.6t + 0.44
Substituting 11, we have
h = 0.6(11) + 0.44
h = 6.6 + 0.44
h = 7.04
Answer:
The residual of the data point h = 0.6t + 0.44, is h = 7.04.
Step-by-step explanation:
Given the line of fit, h = 0.6t + 0.44, which Brenda collected from an experiment, at the point t = 11, the residual of the data point is obtained by replacing t with 11 in the given equation h = 0.6t + 0.44.
Doing this, we have
h = 0.6(11) + 0.44
h = 6.6 + 0.44
= 7.04
This is what we want to obtain.
Wright (3+4i)+(8+2i) as a complex number in standard form
Answer:
11 +6i
Step-by-step explanation:
(3+4i)+(8+2i)
Add the real portions
3+8 = 11
Add the imaginary portions
4i+2i = 6i
The complex number in a+bi form is
11 +6i
Answer:
[tex] = 11 + 6i[/tex]
Step-by-step explanation:
[tex](3 + 4i) + (8 + 2i) \\ 3 + 4i + 8 + 2i \\ = 11 + 6i[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Here is a rectangle ABCD the length of the rectangle is increased by 10% The width of the rectangle is increased by 5% Find the percentage increase in the perimeter of the rectangle
Answer:
7.5 % increase
Step-by-step explanation:
So,first we know that Square is also a special type of Rectangle,
so consider a Square with side 100 unit ,
Initially, After increament in side
Length = 100 unit -(increases by 10% ,So 110% of 100) NEW length = 110 unit
width = 100 unit (increases by 5% ,So 105% of 100) NEW width = 105
initially, Perimeter of Rectangle = 2 x (L + B) = 2 x (100 +100)
= 400 unit
After increment in length and width
Perimeter of New Rectangle = 2 x (L + B) = 2 x (110 +105)
= 430 unit
So we can clearly see that there is an increase of 30 unit in perimeter from initial.
Therefore ,% increase in perimeter will be
(final perimeter - initial perimeter)/initial perimeter x 100
= (430 - 400)/400 x 100
= 7.5 % increase
Answer:
increased by 8%
Step-by-step explanation:
Define polynomial with some examples.
Answer:
A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.
Step-by-step explanation:
EXAMPLES :
x2 + 2x +5 Since all of the variables have integer exponents that are positive this is a polynomial.5x +1 Since all of the variables have integer exponents that are positive this is a polynomial.(x7 + 2x4 - 5) * 3x Since all of the variables have integer exponents that are positive this is a polynomial.5x-2 +1 Not a polynomial because a term has a negative exponent3x½ +2 Not a polynomial because a term has a fraction exponent(5x +1) ÷ (3x) Not a polynomial because of the division(6x2 +3x) ÷ (3x) Is actually a polynomial because it's possible to simplify this to 3x + 1 --which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression 'can' be expressed using addition,subtraction, multiplication. So, if it's possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers...then you do indeed have a polynomial equation) [Polynomial Equation- is simply a polynomial that has been set equal to]An algebraic expression is of the form of a0+a1x+a2x2+.........+anx^n,where n is positive integer and the coefficients a0,a1,A2,.......an are constants with an is not equal to 0 is called a polynomial of degree.
A polynomial in X is denoted by p(x),q(x),g(x) etc.
Examples:
p(X)=x^2-3x+2 is a polynomial in X.
Similarly,the polynomial in two variables X and y are generally denoted by p(x,y) and polynomial in three variables is denoted by p(x,y,z).
Hope it helps
Good luck on your assignment...
PLEASE HELP ME OUT!
Using the properties of equality to solve the equation -2b + 7 = -13, you would _____.
A.) add 13 and then divide by -2
B.) subtract 7 and then add 2
C.) subtract 7 and then divide by -2
D.) add 13 and then add 2
this is multiple choice
Answer:
Subtract 7 from each side
Divide each side by -2
Step-by-step explanation:
-2b+7 = -13
Subtract 7 from each side
-2b+7 -7= -13-7
-2b = -20
Divide each side by -2
-2b/-2 = -20/-2
b = 1-
Bess drew a rectangular prism that is 12 units long, 8 units wide, and 13 units tall. What is the volume of the rectangular prism? A. 109 cubic units B. 156 cubic units C. 970 cubic units D. 1,248 cubic units
Answer:
D. 1,248 cubic units
Step-by-step explanation:
the volume of the rectangular prism = length*width*height = 12*8*13 = 1248 cubic units
Answer: D. 1,248 cubic units
Step-by-step explanation:
The formula for a rectangular prism volume is: V = Length x Width x Height.
In this question it already gives us all of the sides that we need! So all we need to do is just multiply all the sides together to get the volume.
12 x 8 x 13 = 1,248. Therefore D is correct!
Hope this helped you!
URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
14. Find the missing angle x. ( 155 degrees is on the top left side, FIRST pic below)
19. Triangles ABC and DEF are similar. Find x.
SECOND PIC
A) 9.45
B) 6.12
C) 7.23
D) 8.57
Answer: For the first one it’s 95 degrees. I don’t know the second one, sorry
Step-by-step explanation:
180-155=25
25+60=85
180-85=95
!!! Use the sum of cubes identity to find the factors of the expression 8x^6 + 27y^3. Write your answer in the form of the expression on the right of the sum of cubes identity. CLIP IN QUESTION
Answer:
(2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)
Step-by-step explanation:
A sum of cubes is factored in general as
a³ + b³ = (a + b)(a² - ab + b²) , thus
8[tex]x^{6}[/tex] + 27y³
= (2x²)³ + (3y)³ with a = 2x² and b = 3y
= (2x² + 3y)((2x²)² - 2x²(3y) + (3y)²)
= (2x² + 3y)(4[tex]x^{4}[/tex] - 6x²y + 9y²)
Answer: Edmentum/plato
Step-by-step explanation:
Find the angle A if angle B is 60 degrees and angle A and angle B are complementary
Answer:
30 degrees
Step-by-step explanation:
Complimentary = 90 degrees
90 - 60 = 30 degrees
what is half x 3a or 1/2 x 3a
Answer:
the answer is
3a/2
Step-by-step explanation:
1/2 × 3a = 3a/2
Step-by-step explanation:
1/2 times 3a=3a/2
hence one and a half a, or 1 and 1/2a
Have a feeling it’s 3X am i correct ??
Answer:
D
Step-by-step explanation:
The volume of a cube can be found by multiplying together all of the side lengths by each other, or:
[tex]x\cdot x \cdot x=x^3[/tex]
Therefore, the correct answer is D. Hope this helps!
Answer:
D. x^3.
Step-by-step explanation:
The volume = length*width*height
= x * x * x
= x^3.
There is a narrow rectangular plot, reserved for a school, in Mahuli VIIage
length and breadth of the plot are in the ratio 11:4. At the rate 100 per metre it will
cost the village panchayat 75000 to fence the plot. What are the dimensions of
the plot?
Answer:
550x100
Step-by-step explanation:
First divide 75000 by 100 to get 750. Then divide 750 by 15 to get 50. Lastly multiply 50 by 11 to get 550 and multiply 50 by 4 to get 100.
