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2 years ago

Waiting for other questions

Mathematics

1 answer:

Fudgin [204]2 years ago

4 0

Answer:

A) 13

Step-by-step explanation:

If you recall the formula for finding a diagonal, or a^2 + B^2 = C^2, you will get 12^2 + 5^2 = C^2, if you solve that, you will get 13!

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Justin wants to cover the top of a circular swimming pool to keep insects out of the pool. If the diameter of the pool is 20 fee

evablogger [386]

Answer: The area is approximately 314 ft^2

Step-by-step explanation:

Well if the diameter is 20 feet then the radius will be 10 because the radius is half the diameter, and to find the area of a circle, you use the formula

A= $\pi r^{2}$ where A is the area and pi times the radius squared.

We will represent pi by 3.14

A= 3.14* 10^2

A= 3.14 * 100

A = 314

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3 years ago

What is -6.5 / 8.5 reduced to simplest form?

Naddika [18.5K]

Answer: -13/17

Step-by-step explanation:

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3 years ago

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A square is cut from a rectangle. The side length of the square is half of the unknown width w. The area of the shaded region is

Virty [35]

Answer:

See below

Step-by-step explanation:

The side of the square is w/2, then its area is:

A = (w/2)² = w²/4

The shaded area is the difference of areas of the rectangle and the square:

14w - w²/4 = 84

This can be simplified:

56w - w² = 336
w² - 56w + 336 = 0

8 0

3 years ago

Find the exact values of a) sec of theta b)tan of theta if cos of theta= -4/5 and sin<0

Gre4nikov [31]

Answer:

Using trigonometric ratio:

$\sec \theta = \frac{1}{\cos \theta}$

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

From the given statement:

$\cos \theta = -\frac{4}{5}$ and sin < 0

⇒ $\theta$ lies in the 3rd quadrant.

then;

$\sec \theta = \frac{1}{-\frac{4}{5}} = -\frac{5}{4}$

Using trigonometry identities:

$\sin \theta = \pm \sqrt{1-\cos^2 \theta}$

Substitute the given values we have;

$\sin \theta = \pm\sqrt{1-(\frac{-4}{5})^2 } =\pm\sqrt{1-\frac{16}{25}} =\pm\sqrt{\frac{25-16}{25}} =\pm \sqrt{\frac{9}{25} } = \pm\frac{3}{5}$

Since, sin < 0

⇒ $\sin \theta = -\frac{3}{5}$

now, find $\tan \theta$ :

$\tan \theta = \frac{\sin \theta}{\cos \theta}$

Substitute the given values we have;

$\tan \theta = \frac{-\frac{3}{5} }{-\frac{4}{5} } = \frac{3}{5}\times \frac{5}{4} = \frac{3}{4}$

Therefore, the exact value of:

(a)

$\sec \theta =-\frac{5}{4}$

(b)

$\tan \theta= \frac{3}{4}$

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3 years ago

Need help l don’t understand

Diano4ka-milaya [45]

Step-by-step explanation:

open brackets and work out

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2 years ago

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