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3 years ago

What is the value of x to the nearest tenth? A. 9.7 B. 8.1 C. 5.9 D. 7.9

Mathematics

2 answers:

vagabundo [1.1K]3 years ago

8 0

Answer:

A) x = 9.7

Step-by-step explanation:

Given : A triangle

To find : What is the value of x to the nearest tenth.

Solution : We have given a triangle with hypotenuse = 12 units,

Opposite side = 7 , adjacent = x.

By the Pythagorean theorem :

(hypotenuse )² = ( adjacent )² + ( opposite)².

Plug the values

(12)² = ( x )² + ( 7)².

144 = ( x )² + 49.

On subtracting both sides by 49.

144 -49 = ( x )²

95 = ( x )²

Taking square root

√95 = x.

x = 9.7

Therefore, A) x = 9.7

8090 [49]3 years ago

7 0

Use the Pythagorean theorem. The equation for this right triangle would be a^2+b^2=c^2. Since you have one leg and the hypotenuse, you can plug these into the equation. It would be 7^2+b^2=12^2. Do the exponents. You will get 49+b^2=144. You need to get b by itself so subtract each side by 49. You get the equation b^2=95. Square root each side to get b=9.746. This rounds to 9.7. So the answer is A. Hope this helps! ;)

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Hi there!

Let's solve this equation step by step!
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3 years ago

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Savatey [412]

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Step-by-step explanation:

You need to open up the parenthesis so you multiply every term inside the parenthesis by -7.

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3 years ago

Marcos purchased a sail boat for $56,900. He anticipates each year the boat will decrease in value by 8.1% from the previous yea

Varvara68 [4.7K]

Answer: $56,900\left( 0.919\right)^x$

Step-by-step explanation:

Given

Marcos purchased a sailboat for $\$56,900$

Each year the boat will decrease in value by $8.1\%$

After 1 year it is

$\Rightarrow 56,900-56,900\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\\$

after another year it becomes

$\Rightarrow 56,900\left( 1-0.081\right)-56,900\left( 1-0.081\right)\times 0.081\\\Rightarrow 56,900\left( 1-0.081\right)\cdot \left( 1-0.081\right)\\\Rightarrow 56,900\left( 1-0.081\right)^2$

After $x$ years it is

$\Rightarrow 56,900\left( 1-0.081\right)^x$

$\Rightarrow 56,900\left( 0.919\right)^x$

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3 years ago

What is the value of x to the nearest tenth? ￼ A. 9.7 B. 8.1 C. 5.9 D. 7.9

What is the value of x to the nearest tenth? A. 9.7 B. 8.1 C. 5.9 D. 7.9