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3 years ago

Plot the point 3,

Mathematics

1 answer:

lesya [120]3 years ago

4 0

Answer:

Step-by-step explanation:

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A right triangle contains a 38° angle whose adjacent side measures 10 centimeters. What is the length of the hypotenuse, to the

True [87]

Answer:

12.69 inches.

Step-by-step explanation:

Let h represent the length of the hypotenuse.

We have been given that a right triangle contains a 38° angle whose adjacent side measures 10 centimeters. We are asked to find the length of the hypotenuse.

We know that cosine relates adjacent side to hypotenuse of right triangle.

$\text{cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$

$\text{cos}(38^{\circ})=\frac{10}{h}$

$h=\frac{10}{\text{cos}(38^{\circ})}$

$h=\frac{10}{0.788010753607}$

$h=12.690182$

Upon rounding to the nearest hundredth of a centimeter, we will get:

$h\approx 12.69$

Therefore, the length of the hypotenuse is approximately 12.69 inches.

7 0

3 years ago

What are the values of x, y, and z?

adoni [48]

Answer:

x = 111

y = 36

z = 76

5 0

3 years ago

Colossus Added to six flags st. Louis in 1986, the Colossus is a giant Ferris wheel. Its diameter is 165 feet, it rotates at a r

NemiM [27]

Given:

D=165 feet and the frequency of the motion is 1.6 revolutions per minute.

Solution:

The radius is half of the diameter.

The radius of the wheel is 82.5 feet.

$T=\frac{1}{1.6} \text{ minutes}$

As we know: $\omega=\frac{2\pi}{T}$

Substitute the value of T in the above formula.

$\omega=\frac{2\pi}{\frac{1}{1.6}}\\\omega=3.2\pi$

If the center of the wheel is at the origin then for $t=0$ the rest position is $-a$ .

This can be written as:

$h(t)=-a\cos(\omega t)\\h(t)=-82.5cos(32.\pi t)$

The actual height of the rider from the ground is:

$h(t)=\text{ Initial height from bottom}+\text{ radius}-82.5\cos(3.2\pi t)\\h(t)=15+82.5-82.5\cos(3.2\pi t)\\h(t)=97.5-82.5\cos(3.2\pi t)$

The required equation is $h(t)=97.5-82.5\cos(3.2\pi t)$ .

3 0

3 years ago

Mean, Mode, Med 86, 12, 11, 12, 15, 29, 59, -40

Liono4ka [1.6K]

Answer:

Step-by-step explanation: so first u wanna put them in order -40, 11, 12, 12, 15, 29, 59, 86

The median is pretty much the number in the middle so it’s 15. Mode is the number that repeats the most so it’s 12. And mean is adding all the numbers together and then dividing it by how many numbers are there. So it is 23

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3 years ago

What is the first quartile in this data set? 67, 68, 69, 70, 70, 70, 72, 73, 73, 75, 75

NARA [144]

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4 0

3 years ago