Coach Jump is standing on a platform watching the football team practice. If the platform is 12 feet high and the quarterback is standing 23 feet from the base of the platform, find the angle of depression from Coach Jump to the quarterback. Round to the nearest degree.
Answers
Answer:
62 degrees.
Step-by-step explanation:
What you will have here is a right triangle. For the vertical put 12 ft and for the horizontal put 23 ft. You are trying to find the angle between the verticle and hypotenuse. This is what tangent is used for since you know the opposite and you know the adjacent lengths.
But since you are trying to find the angle you need to do an inverse tangent (also called arctangent)
ArctanФ = Adj/opposite
ArctanФ = 12/23 = 27.47 degrees. Rounded to the nearest degree is 27 degrees, if it wants rounded up its 28 degrees.
The angle of depression from Coach Jump to the quarterback is 27.6°.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
In this diagram,
C represents Coach Jump,
B represents the base of the platform,
θ represents the angle of depression from Coach Jump to the quarterback.
Now,
We want to find θ.
We can use the tangent function,
So,
tan Ф = 12/23
Ф = [tex]tan^{-1}[/tex] 12/23
Ф = 27.55°.
Thus,
The angle of depression from Coach Jump to the quarterback is 27.6°.
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Related Questions
Tobias bought four video games for $34. 10, $25.50, $13.25, and $9.99,
dileTobias spend?
How much money
A. $172.75
B. $99.40
C. $82.84
OD. $61.74
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Answer:
C. 82.84
Step-by-step explanation:
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Answer:
it would be D because x is based off of the x axis so when it moves left to right. And y is y axis so it moves up and down.
Step-by-step explanation:
There are 23 students in ms day”s class. Only 17 students are present today use the model to find A the number of students that are absent
Answers
Answer:
6 students are absent.
Someone please help and explain will mark brainliest
Answers
Answer:
Lee earns 2x.
They both earn 3x.
Step-by-step explanation:
If mic earns x, and lee earns 2 times as much, it will be x * 2, or 2x. Then adding mic's salary, x, the number will result in 2x+x. This simplifies into 3x.
find the surface area
Answers
Answer:
Surface area = 207 cm²
Step-by-step explanation:
Surface are of triangular prism = 2×BA + P × H
Base Area (BA) = ½*bh
b = 8 cm
h = 9 cm
BA = ½*8*9 = 36 cm²
Perimeter of triangular base (P) = 8 + 9 + 10 = 27 cm
Height for prism (H) = 5 cm
Surface area = 2 × 36 + 27 × 5 = 72 + 135
Surface area = 207 cm²
8 2/3 ÷ 5 7/9 is equal to what?
Answers
Answer:
it equals to 8 1/3
Step-by-step explanation:
HELP ME FAST PLSSS<3
A bottle of juice states that a serving is 1/2 cup. How many servings are in a 2-pint container? (one pint= 2 cups)
Answers
Answer: 8 servings
Step-by-step explanation:
1/2 cup + 1/2 cup = 1 cup
> 1 cup + 1 cup = 2 cups = one pint
1/2 cup + 1/2 cup = 1 cup
if 4 servings go in one pint then 8 servings goes in 2 pint
Answer:
8 cups/servings.
Explanation:
Can't explain further more because I'm not good in explaining things yet I'm sure that's the correct answer.
.Given the assignment categories and weights listed below, what overall grade should the student get in the class? Round your answer to one decimal place. please show me how you got this and what steps u did please hurry
Weight. Average
Homework30%. 95
Projects 15%. 80
Tests 50% 77
Attendance 5% 50
Answers
Answer: The answer of your over all grade is 81
Step-by-step explanation:
You do the % then you add them together.
like in this picture
Simone jogs 5 kilometers. How many meters does she jog?
Answers
Mark me brainliest if that helped
If a family has already got four boys, then the next baby is more likely to be a girl than a boy. Is this correct?
Answers
Explain answer !
( Will give brainlst)
Answers
1/4 = 0.25
Root 3 = 1.732...
So smallest to biggest: 1/4, root 3, Pi
so from least to greatest it would be ordered,
1/4, square root of 3, and pie.
What percent of 30 is 45?
Please
Answers
Answer:
150
Step-by-step explanation:
Answer:
answer is 66.67
Step-by-step explanation:
30: 45*100=
(30*100):45=
3000:45=66.67
Clark typed 720 words in 18 minutes. How many words can he type in one minute?
Answers
Answer:
Clark can type 40 words in one minute
Step-by-step explanation:
Set up a proportion: [tex]\frac{720}{18} = \frac{x}{1}[/tex] Cross multiply, then divide: 720 × 1 = 720, 720 ÷ 18 = 40So, x = 40I hope this helps!
He can type 40 words a minute
Which expressions are equivalent to the perimeter of the shape? How do you know?
a. x + 3 + 3x + 1
b. 2x + 4 + x
c. 4x + 4
d. 2x + 2 + 2x + 2
Answers
4x+4
The answer is c.
The expressions are equivalent to the perimeter of the shape is c. 4x + 4
What is perimeter?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Perimeter of the rectangle = 2(length+width)
Given the paramters are;
length = x + 1
W = x + 1
Perimeter of the shape= x+1+1+x+x+1+x+1
Perimeter = x+1+1+x+x+1+x+1
= 4x + 4
This is the expression equivalent to the perimeter of the shape
The answer is c.
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Consider the numbers z= 2 + 5i, w = -3- 2i, and u=-1+2i.
z+w is equal to -1+vi
w-u is equal to - 4i
u + w is equal to -4 -
Answers
Answer:
3, 2, 0
Step-by-step explanation:
trust me
The resultant value of vectors are:
1. z + w = -1 + 3i.
2. w - u= -4 - 4i
3. u + w = -4.
Given:
z = 2 + 5i
w = -3 - 2i
u = -1 + 2i
1. z + w:
Adding the real and imaginary parts separately gives
(2 + 5i) + (-3 - 2i) = (2 - 3) + (5 - 2)i
= -1 + 3i
Therefore, z + w is equal to -1 + 3i.
2. w - u:
Subtracting the real and imaginary parts separately gives
(-3 - 2i) - (-1 + 2i) = (-3 + 1) + (-2 - 2)i
= -4 - 4i
Therefore, w - u is equal to -4 - 4i.
3. u + w:
Adding the real and imaginary parts separately gives
(-1 + 2i) + (-3 - 2i) = (-1 - 3) + (2 - 2)i
= -4
Therefore, u + w is equal to -4.
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y2-4y+4/(2-6y) x (2y+4)/(3y2-12)
Answers
Answer:
what is the question? please ask a question.
A recipe uses 5 cups of milk to make 20 servings. If the same amount
of milk is used for each serving, how many servings can be made from
two pints?
1 gallon 4 quarts
1 quart 2 pints
1 pint 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question
below.
How many cups will you need to find the number
of servings for?
Answers
Answer:
16 servings
Step-by-step explanation:
The recipe would use 2 pints or 4 cups of milk. 1 cup of milk is equal to 4 servings (20/5 = 4), so 4 cups would make 16 servings.
1 pint is equal to 2 cups so 2 pints will be 4 cups.
The number of servings 2 pints will make is 16 servings.
What is a unit rate?A unit rate means a rate for one of something.
It is written as a ratio with 1 as the denominator.
We have,
5 cups of milk = 20 servings
Multiplying 1/5 on both sides.
1/5 x 5 cups of milk = 1/5 x 20 servings
This means,
1 cup of milk = 4 servings
We know that,
1 pint = 2 cups
Multiplying 2 on both sides
2 x 1 pints = 2 x 2 cups
2 pints = 4 cups
If,
1 cup = 4 servings
4 cups = 4 x 4 servings
4 cups = 16 servings
Thus the number of servings 2 pints will make is 16 servings.
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3 kitchen assistants can prepare 10kg of vegetables in 30 minutes. How long would it take 30 assistants to prepare the same amount?
Answers
Answer:
It will take 4.5 minutes.
Step-by-step explanation:
Please don't steal points I need help :(
Answers
Answer:
I think its C
Step-by-step explanation:
17) A baseball coach records the height at every second of a ball thrown in the air. Some of the data points
appear in the table below: Which equation is a quadratic model for the data?
Time (s)
0
1
3
Height (ft)
0
64
96
A) h = -16t? + 80t
B)h = -48t2 + 112t
C) h = -32t2 + 80t
D) = -16t2 + 640
Answers
Answer:
be smarter
Step-by-step explanation:
How to find distance on a triangle like the diagonal part with the Phyhagorean Theorem?
Answers
H2+P2+B2 is the answer of this question
Simplify the rational Expression
Answers
Answer:
[tex]\frac{x^2+2x}{x-3}[/tex]
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
[tex]\frac{x^2+2x}{x-3}[/tex]
Using either substitution or elimination method, solve the system of equations that consists of 8x+y= -16 and -3x+y=-5 Your solution will be a coordinate of integers.
Answers
Answer:
x= -1
y= -8
Step-by-step explanation:
Solve for y in 8x + y = -16
y = -16 - 8x
Substitute y = -16 - 8x into -3x + y = -5
-11x - 16 = -5
Solve for x in -11x - 16 = -5
x = -1
Substitute x = -1 into y = -16 - 8x
y = -8
Therefore,
x= -1
y= -8
Answer:
(-1, -8)
Step-by-step explanation:
SUBSTITUTION METHOD:
8x + y = -16-3x + y = -5Solve for y in the first equation by subtracting 8x from both sides.
y = -16 - 8xSubstitute this value for y into the second equation.
-3x + (-16 - 8x) = -5Remove the parentheses and simplify.
-3x - 16 - 8x = -5Combine like terms.
-11x - 16 = -5Add 16 both sides of the equation.
-11x = 11Divide both sides of the equation by -11.
x = -1Substitute this value for x into either equation (I'm using the first equation).
8(-1) + y = -16Multiply and simplify.
-8 + y = -16Add 8 to both sides of the equation.
y = -8ELIMINATION METHOD:
8x + y = -16-3x + y = -5Subtract the second equation from the first equation to "cancel" the y-variable.
11x = -11Divide both sides of the equation by 11.
x = -1Substitute this value for x into either equation (I'm using the second equation).
-3(-1) + y = -5Multiply and simplify.
3 + y = -5Subtract 3 from both sides of the equation.
y = -8The solution to this system of equations is (-1, -8).
Instructions: Find the missing length
Answers
Answer:√20
Step-by-step explanation:
The missing side length of the right triangle is or about 4.47 . Explanation: When we talk about the side lengths of a right triangle,
Find the value of x in the equation below.
9.5 = x/5
Answers
Answer:
47.5
Step-by-step explanation:
you would do 5 x 9.5 to find the answer for x
Find the slope of 5y-x=2
Answers
Answer:
Slope is 1/5
Answer: -1/5
Step-by-step explanation: here!
Blank divided by 2 = 1/10 ? What is divided by 2 that's give the answer 1/10 ?
Answers
Answer:
2/20
Step-by-step explanation:
x/2 = 1/10
multiply both sides by 2
x = 2/20
A rectangle has a length of 16 inches and the length of the diagonal is 20 inches. What is the width of the rectangle
Answers
Answer:
12 inches
Step-by-step explanation:
1. The diagonal is the hypotenuse of the right triangle. so since we know one side length, we can figure out the other side length
1. 16^2 + x^2= 20^22. 256 + x^2=4003. x^2=1444. [tex]\sqrt{144}[/tex] = 12Jose decides to go to the local amusement park. He pays $12.50 for an admission ticket and $4.50 per ride. The total amount that Jose pays for admission and rides is $ 71. Which equation can be used to determine the total number of rides, r, that Jose went on?
Answers
Answer:
Your answer is B. 4.50r + 12.50 = 71.
Can you help me put these in order please
Answers
Step-by-step explanation:
8.4 - 8.41 - 8.485 - 8.538 - 8.55 - 8.566
Answer: least to greatest
8.4, 8.41, 8.485, 8.538, 8.55, 8.566
least to greatest