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3 years ago

Find x to the nearest tenth. Please answer quick

Mathematics

2 answers:

sertanlavr [38]3 years ago

8 0

Answer:

C, 14.4

Step-by-step explanation:

Using the Pythagorean theorem, you can solve for x (it's a right triangle)

8.6^2+11.5^2=c^2

206.21=c^2

√(206.21)=c

√(206.21)≈14.36 So the answer is C if you round the answer to the nearest 10th.

Alexandra [31]3 years ago

6 0

The answer would be C. 14.4

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3 years ago

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Answer:

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Step-by-step explanation:

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Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

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4 years ago