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agasfer [191]
2 years ago
8

The angle of depression from the basketball hoop to Clairs eyes is 9.2degrees. The vertical distance from the ground to Claires

eyes is 5.6 feet. Using the diagram, find the height of the basketball hoop to the nearest tenth.
Mathematics
2 answers:
Norma-Jean [14]2 years ago
8 0
X - difference between the height of the basketball hoop and the vertical distance from the ground to Clair´s eyes.
Using T O A:
tan (9.2°) = x / 22 ft
x = tan (9.2°) · 22 ft
x = 0.162 · 22 ft 
x = 3.564 ft
The height of the basketball hoop is:
h = 5.6 + 3.564 = 9.164 feet
natulia [17]2 years ago
5 0

Answer:

the answer is C

Step-by-step explanation:

i just took the test

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4 times a number is 32 less than the square of that number. Find the negative solution.
zvonat [6]

Answer:

<u>The negative solution is -4</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

(x - 8) (x + 4) = 0

(x₁  - 8) = 0

(x₂ + 4) = 0

x₁ = 8

<u>x₂ = -4</u>

<u>The negative solution is -4</u>

3 0
2 years ago
(2x+3y+4z)(4x^2+9y^2+16z^2-6xy-12yz-8zx)
erma4kov [3.2K]
1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2

Pull out from each group separately :

Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)


Looking for common sub-expressions :

Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)
6 0
2 years ago
What’s the answer I don’t understand
Scorpion4ik [409]
Your answer is D. All of these statements are true.
5 0
2 years ago
PLEASE HELP - QUIZ
Fittoniya [83]

Answer:

257.24 yd^2

Step-by-step explanation:

I made a video explaining, I promise it’s not anything unrelated to the question. Here it is: https://youtu.be/jHVtTCYzmzI

5 0
2 years ago
A triangle has one angle that measures 40 and another that measures 38. What is the measure of the triangles third angle
mr_godi [17]

Answer:

102°

Step-by-step explanation:

that's the answer because 40+ 38 = 78. then 180- 78 = 102. Remember that in tringles, all three angles should add up to 180°

4 0
2 years ago
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