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3 years ago

Please help ! I don’t get it!

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

8 0

Answer:

PR = 16

SR = 12

Step-by-step explanation:

6/8 = (x-3)/(x+1)

8x-24 = 6x+6

simplify

2x = 30

x = 15

PR = 15 + 1 = 16

SR = 15 - 3 = 12

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A. find the area b. find the perimeter

Allushta [10]

Answer:

Area= 4y^2 + 14y + 12

Perimeter = 10y + 16

Step-by-step explanation:

Area of a reactangle = length × width

= (4y+6) × (y+2)

= 4y^2 + 6y + 8y + 12

= 4y^2 + 14y + 12

Perimeter of a rectangle = 2 × (a +b)

= 2 × ( 4y + 6 + y+ 2)

= 2 × ( 5y + 8)

= 10y + 16

8 0

3 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

3 years ago

What is the equation for the line that passes through coordinates: (2,7

Agata [3.3K]

Answer:

Y=3x+1

Step-by-step explanation:

1-7/0-2=-6//-2=3

y=3x

3x x 2 = 6-7= -1

y=3x-(-1)

5 0

3 years ago

How many 2 inch segments are there in 12 ft

ollegr [7]

The correct answer for this question is that there are 72 2-inch segment in 12ft. Hopefully that answered your question for you!

5 0

3 years ago

A kitchen wall tile is shaped like a parallelogram. The base of the tile is two times the height of the tile . The height of the

SIZIF [17.4K]

Answer:

12.5 in²

Step-by-step explanation:

Given:

Height of tile = 2.5 in

Base of tile = 2*height of tile = 2*2.5 = 5 in

Length of other side of tile = 2.5 in

Required:

Area of the tile

SOLUTION:

Area of the tile = area of parallelogram

All we need to calculate the area of the tile, is the base and the height.

Area of parallelogram = base × height

Area of tile = 5 × 2.5 = 12.5 in²

5 0

3 years ago