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klio [65]
4 years ago
10

What is the value of x?

Mathematics
1 answer:
mamaluj [8]4 years ago
7 0

Answer:

x = 13.2feet

Step-by-step explanation:

Since the triangle is right, use the tangent ratio to find the value of x

tan31^0 = \frac{opposite}{adjacent} = \frac{BC}{AB} = \frac{x}{22}

Multiply both sides by 22

x = 22 \tan 31^0\\\\x = 22 \times 0.601\\\\x = 13.22

to the nearest tenth

x = 13.2feet

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A volleyball reaches its maximum height of 13 feet, 3 seconds after its served. Which of the following quadratics could model th
julsineya [31]
Only selections B and D give a maximum height of 13 at t=3. However, both of those functions have the height be -5 at t=0, meaning the ball was served from 5 ft below ground. This does not seem like an appropriate model.

We suspect ...
• the "correct" answers are probably B and D
• whoever wrote the problem wasn't paying attention.

8 0
4 years ago
Read 2 more answers
In trapezoid $ABCD$, $\overline{AB}$ is parallel to $\overline{CD}$, $AB = 7$ units, and $CD = 10$ units. Segment $EF$ is drawn
Mekhanik [1.2K]

Answer:

EF = 58/7

Step-by-step explanation:

If you extend both BC and AD to meet at P you get 3 similar triangles PAB, PEF, and PCD. Let's call BF = 3x and FC = 4x. Therefore the following proportions can be expressed:

BP/7 = (BP+7x)/10

10BP = 7*(BP+7x)

10BP = 7BP+49x

3BP = 49x

BP = (49/3)x

BP/7 = (BP+3x)/EF

EF = (BP+3x)*7/BP

EF = ((49/3)x + 3x)*7/((49/3)x)

EF = ((58/3)x*7*3)/(49x)

EF = 58/7

3 0
3 years ago
A $310 suit is marked down by 10%. Find the sales price.
Angelina_Jolie [31]

Answer:

The sale price is $279.

Step-by-step explanation:

$310-10%=$279

4 0
3 years ago
Triangle A B C has centroid G. Lines are drawn from each point through the centroid to the midpoint of the opposite side to form
d1i1m1o1n [39]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of GF is 254 units.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

Since a centroid of a triangle divides the median into a ratio of 2:1. Therefore, the ratio of AG: DG is,

AG / DG = 2/1

(19x+14)/(9x+20) = 2/1

19x + 14 = 18x + 40

19x - 18x = 40 - 14

x = 26

Assuming the triangle is an equilateral triangle, therefore, the length of GF will be,

GF = DG = 9x+20

GF = DG = 9(26) + 20

GF = 254 units

Hence, the length of GF is 254 units.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

6 0
2 years ago
The graph of g(x) = x – 8 is a transformation of the graph of f(x) = x. Which of
Umnica [9.8K]
Technically the answer is both A and C, because you can see it as (x-8)^1, meaning 8 to the right, or just x-8, meaning 8 down.
8 0
3 years ago
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