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2 years ago

Solve for the value of x. Round to the nearest tenth.

Mathematics

2 answers:

inysia [295]2 years ago

6 0

Answer:

x = 24.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side/ adj side

tan 20 = 9/x

x tan 20 = 9

x = 9/ tan 20

x = 24.72729678

Round to the nearest tenth

x = 24.7

bija089 [108]2 years ago

3 0

X would equal to 27 and that is my answer

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T - 4 (t - 8) + 7 (3t + 4)

Rama09 [41]

Answer:

t-4(t-8)+7(3t+4)=0

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3 years ago

You have a stack of cards. You have 15 yellow, 6 green, 2 red, and 2 orange cards. Once you select one card…. You put the card b

nordsb [41]

Answer:

1. 15/25 or 3/5

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2 years ago

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59

andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

Distance between Ships A and B = 1425 feet

Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

$180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree$

So, we will use "Sine formula ":

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet$

Similarly,

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet$

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

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3 years ago

Read 2 more answers

A carton can hold 1,000 unit cubes that measure 1 inch by 1 inch by 1 inch. Describe the demensions of the carton using unit cub

timofeeve [1]

The carton has a volume of 1,000 unit cubes.

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4 years ago

Solve by factoring 6p^2 =21p-6

uysha [10]

Given,

The expression is:

$6p^2=21p-6$

By using the middle term splitting method,

$\begin{gathered} 6p^2-21p+6=0 \\ 2p^2-7p+2=0 \\ (x-(\frac{7+\sqrt{33}}{4}))(x+\frac{7+33}{4})=0 \end{gathered}$

Hence, the factor is (x-(7+sqrt(33)/4)) (x+(7+sqrt(33)/4)).

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1 year ago