All categories

2 years ago

Select the correct answer.

Mathematics

1 answer:

Mice21 [21]2 years ago

8 0

Answer:

n = 11

Step-by-step explanation:

Perimeter = sum of all the sides

n + n - 3 + 2(n-2) = 37 units

n + n - 3 + 2n - 4 = 37 {Combine like terms}

n + n + 2n - 3 - 4 = 37

4n - 7 = 37

4n= 37 + 7

4n = 44

n = 44/4

n = 11

You might be interested in

If tan ⁡x=12/5, and 0°

Charra [1.4K]

The value of sin(2x) is $\frac{120}{169}$

Explanation:

Given that $tan x =\frac{12}{5}$

The formula for $sin(2x)$ is $\sin (2 x)=2 \sin x \cos x$

Since, $\tan x=\frac{o p p}{a d j}$

Also, it is given that $tan x =\frac{12}{5}$

Thus, $opp=12$ and $adj=5$

To find the hypotenuse, let us use the pythagoras theorem,

$\begin{aligned}h y p &=\sqrt{12^{2}+5^{2}} \\&=\sqrt{144+25} \\&=\sqrt{169} \\&=13\end{aligned}$

Now, we can find the value of sin x and cos x.

$\sin x=\frac{\text { opp }}{h y p}=\frac{12}{13}$

$\cos x=\frac{a d j}{h y p}=\frac{5}{13}$

Now, substituting these values in the formula for sin 2x, we get,

$\begin{aligned}\sin (2 x) &=2 \sin x \cos x \\&=2\left(\frac{12}{13}\right)\left(\frac{5}{13}\right) \\&=\frac{120}{169}\end{aligned}$

Thus, the value of sin(2x) is $\frac{120}{169}$

8 0

3 years ago

What is the difference 1 1/2 - 3/4 ?

kaheart [24]

Answer:

19/4

Step-by-step explanation:

3 0

2 years ago

The Polygons below are similar. Find the value of x. A. 4.5 B. 7.5 C. 12 D. 16

koban [17]

I'm pretty sure that it is C. 12

3 0

3 years ago

a rectangular tank is 3/4 filled with water, when the metal prism is placed in the tank, it is 79/100 full. find the width w of

Llana [10]

The volume of the prism ... L x W x H ... is 0.04 of the volume of the tank.
If the prism is rectangular, then its width is (0.04 of the volume of the tank) divided by (L x H of the prism) .

5 0

3 years ago

Could someone please help me with #9 thank you

Sever21 [200]

Answer:

Step-by-step explanation:

p ll s is false because s is parallel to q and q is perpendicular to p

3 0

3 years ago