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oksano4ka [1.4K]
2 years ago
9

Solve for x in the triangle. Round your answer to the nearest tenth.

Mathematics
1 answer:
Stolb23 [73]2 years ago
3 0

Answer:

x ≈ 5.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin64° = \frac{opposite}{hypotenuse} = \frac{x}{6} ( multiply both sides by 6 )

6 × sin64° = x , then

x ≈ 5.4 ( to the nearest tenth )

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Multiply using a special product formula (6x-8) (6x+8)
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The correct answer is B.

6x*6x=36x

-8*+8=-64

Thus, our equation is 36x-64

Hope this helps!

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2 years ago
Anyone mind helping me solve this inequality? Step by step
dlinn [17]

By decomposing the figure in simpler shapes, we will see that the total area is:

a = 180 cm²

<h3>How to find the area of the composite figure?</h3>

Remember that the area of a rectangle of width W and length L is:

A = L*W

And the area of a triangle with base B and height H is:

A = B*H/2.

Then, the upper part can be seen as a rectangle of length of 6cm and width of 6 cm, with two triangles on the sides, such that each triangle has a base of 3cm and a height of 6cm.

So the area of that part is:

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Now, the bottom triangle has a base of 12 cm, and a height of:

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This means that the total area of the figure is:

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If you want to learn more about area:

brainly.com/question/24487155

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5 0
1 year ago
A machine that produces a major part for an airplane engine is monitored closely. In the past, 10% of the parts produced would b
nata0808 [166]

Answer:

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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In which

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The margin of error:

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95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is

We need a sample size of at least n, in which n is found M = 0.04.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.1*0.9}{n}}

0.04\sqrt{n} = 0.588

\sqrt{n} = \frac{0.588}{0.04}

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With a .95 probability, the sample size that needs to be taken if the desired margin of error is .04 or less is of at least 216.

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Answer:

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Answer:

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=> f(g(h(6))) = f(\sqrt{2} ) = (\sqrt{2} )^{3}

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