Find Use proportion 24 =18/15 21 b 18 20 16

Sergio [31]

Hi there!

In order to find x, we'll need to set up a proportion. This proportion is 77/22 = 87.5/x. Now, we need to cross-multiply, leaving us with 77x = 1925. Lastly, we'll need to divide in order to get the section that makes up the missing part of x. This is 25 ft. All that is left to do to find the total value of x is to add 25 and 22 together. The value of x is 47 feet.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

6 0

3 years ago

The original rectangle has a perimeter of 16

svet-max [94.6K]

12.4 / 6.2 = 2

so other side of enlarged rectangle = 1.8 x 2 = 3.6

Perimeter of enlarged rectangle = 2(3.6 + 12.4) = 32

Answer: 32 feet

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Another way to do:

12.4 / 6.2 = 2

SF = 2

The original rectangle has a perimeter of 16

Perimeter of the enlarged rectangle = 16 x 2 = 32

Answer: 32 feet

5 0

3 years ago

Evaluate the six trigonometric functions of the angle 0.

Arturiano [62]

Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

Hypotenuse = 18

Adjacent side to θ = 10

Opposite side to θ = ?

Using Pythagoras theorem:

$\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2$

$18^2 =10^2+\text{opposite}^2$

$324=100+\text{opposite}^2$

Subtract 100 from both sides.

$224=\text{opposite}^2$

Taking square root on both sides.

$4\sqrt{14}=\text{opposite}$

Using trigonometric ratio formula:

$$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}$

$$\sin\theta =\frac{4\sqrt{14} }{18}$

$$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}$

$$\csc\theta =\frac{18}{4\sqrt{14} }$

$$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}$

$$\cos \theta=\frac{10}{18}$

$$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}$

$$\sec \theta=\frac{18 }{10}$

$$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}$

$$\tan \theta=\frac{4\sqrt{14} }{10}$

$$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}$

$$\cot \theta=\frac{10}{4\sqrt{14} }$

8 0

3 years ago

Which is greater 11/16 or 3/4

Anettt [7]

To compare fractions, we need to have the same denominator
The least common multiple is 16
$\frac{11}{16}$
to change $\frac{3}{4}$ , we should multiply the numerator and denominator by 4
$\frac{3*4}{4*4}$ = $\frac{12}{16}$

$\frac{11}{16}$ < $\frac{12}{16}$

so basically, $\frac{12}{16}$ is greater than $\frac{11}{16}$
which means $\frac{3}{4}$ is greater

$\frac{3}{4}$ is greater

6 0

3 years ago

Subtract 7 1/8-1 1/9 Simplify the answer and write as a mixed number.

allochka39001 [22]

Answer:

The answer is 4 1/8

Step-by-step explanation:

4 0

2 years ago

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