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3 years ago

PLZ HELP ME ON HOMEWORK!!!!

Mathematics

1 answer:

sweet [91]3 years ago

3 0

Add 5x+2x+3x you get 10x bring the 20 down set it equal to 180
you have 10x+20=180
subtract 20 from 180 which gives 160
So now you have 10x=160
divide 10 by both sides you get x=16

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The width of a rectangle is 5 meters less than its length, and the perimeter is 34 meters. Find the length and width of the rec

Alona [7]

Answer:

Length = 11

Width = 6

Step-by-step explanation:

We know that the length is x and the width is x - 5 since it is 5 less than the length.

The equation to find the perimeter of a rectangle is 2w + 2l

We will plug in the values and solve

2(x-5) + 2(x) = 34

2x - 10 + 2x = 34

4x - 10 = 34

4x = 44

x = 11

Since the length is simply x, we know that it is 11. We subtract 5 to find the width.

11 - 5 = 6.

The width is 6.

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3 years ago

Simplify using trigonometric identities<br> 2sinθ - sin2θ cosθ

Anit [1.1K]

Double angle identity for sine:

$\sin(2x) = 2 \sin(x) \cos(x)$

$\implies 2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta)$

Factorize the left side.

$2 \sin(\theta) - 2 \sin(\theta) \cos^2(\theta) = 2 \sin(\theta) \left(1 - \cos^2(\theta)\right)$

Pythagorean identity:

$\cos^2(x) + \sin^2(x) = 1$

$\implies 2 \sin(\theta) \left(1 - \cos^2(\theta)\right) = 2 \sin^3(\theta)$

so that

$\boxed{2 \sin(\theta) - \sin(2\theta) \cos(\theta) = 2 \sin^3(\theta)}$

8 0

1 year ago

The area of a rectangular invitation card is 3/10 square foot. Given that the length of the card is 4/5 foot find its perimeter

Andrei [34K]

The perimeter would be 3/8+3/8+4/5+4/5= 2.35 or 2 7/20 square foot.
I hope this helps.
YOU'RE WELCOME :D

8 0

3 years ago

Find the product of 51 and -2.5.

yaroslaw [1]

The answer is C because 51×-2=-102 and 51×-0.5=-25.5

So it -102+(-25.5) or C

6 0

3 years ago

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This figure is 14 of a circle.

Wittaler [7]

Answer:

The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

Step-by-step explanation:

Given : A quarter of a circle with radius labeled 2 in.

Quarter of circle means fourth part of a circle (as shown in image by shaded part).

We have to find the perimeter of this shaded quarter of circle.

Perimeter is the sum of the dimension of the given figure.

Perimeter of circle is $2\pi r$

Since, we are given Quarter circle so its perimeter $\frac{2}{4} \pi r+r+r=\frac{1}{2} \pi r+r+r$

Perimeter of given figure = $\frac{1}{2} \pi r+r+r$

Perimeter of given figure = $\frac{1}{2}\cdot 3.14 \cdot 2+2+2=3.14+4=7.14$

Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

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3 years ago

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