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3 years ago

Can someone assist me with this?

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

5 0

Answer:

29: 7

Step-by-step explanation:

$\frac{8}{3x - y} = \frac{5}{x + 3y}$

Cross multiply:

$8(x + 3y) = 5(3x - y)$

Expand bracket:

$8x + 24y = 15x - 5y$

Bring x terms to 1 side, y terms to the other:

$15x - 8x = 24y + 5y$

Simplify:

$7x = 29y$

Divide by 7 on both sides:

$x = \frac{29}{7} y$

Divide both sides by y:

$\frac{x}{y} = \frac{29}{7}$

∴ The ratio of x to y is 29:7.

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2) Suppose that circles A and B have a central angle measuring 40°. Additionally, circle A has a radius of 5 2 ft and the radius

sleet_krkn [62]

Let

rA--------> radius of the circle A

rB-------> radius of the circle B

SA------> the area of the sector for circle A

SB------> the area of the sector for circle B

we have that

rA=5/2 ft

rB=9/2 ft

rA/rB=5/9-----------> rB/rA=9/5

SA=(25/36)π ft²

we know that

if Both circle A and circle B have a central angle , the square of the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the area of the sector for circle A to the area of the sector for circle B

(rA/rB) ^2=SA/SB-----> SB=SA*(rB/rA) ^2----> SB=(9/5) ^2*(25/36)π--->

SB----------- > (81/25)*(25/36)------ > 81/36------ > 9/4π ft²

the answer is

the measure of the sector for circle B is (9/4)π ft²

3 0

3 years ago

Find the area of the rectangle if AB = 2x + 1 and AD = 4x. A) 12x B) 8x2 + 1 C) 6x2 + 4x D) 8x2 + 4x

Arte-miy333 [17]

We are given sides of the rectangle AB = (2x+1) and

AD = 4x.

Area of rectangle = Length × Width

Area = 4x(2x+1).

Distributing 4x over (2x+1), we get

$4x(2x+1) = 4x \times 2x + 4x \times 1$

$4x \times 2x = 8x^2$ and

$4x \times 1= 4x$

$4x(2x+1) = 8x^2 + 4x.$

Therefore, Area = $8x^2 + 4x$ .

<h3>So, the correct option is $D) \ 8x^2 + 4x.$ </h3>

5 0

2 years ago

Rebekah wants to read a certain number of pages each day during summer vacation.

VMariaS [17]

Answer:

acho que nao deve ser 136 ´porcento pois se nao me engano só vai até 100,vc poderia arrumar sua questão ou é assim msm?

7 0

2 years ago

Read 2 more answers

A rectangular room is 3 meters longer than it is wide, and its perimeter is 22 meters. Find the dimension of the room. The lengt

lyudmila [28]

Answer:

Width = 4 m

Length = 7 m

Step-by-step explanation:

given:

perimeter of a rectangle = 22m

L = 3 + W

perimeter = 2L + 2W

perimeter = 2 (3 + W) + 2W

22 = 6 + 2W + 2W

22 - 6 = 4W

W = 16 / 4

W = 4 m

L = 3 + W

L = 3 + 4

L = 7 m

check:

perimeter = 2L + 2W

22 = 2(7) + 2(4)

22 = 14 + 8

22 = 22 ---- OK

4 0

2 years ago

Omar's gas tank is 1/10 full. After he buys 6 gallons of gas, it is 2/5 full. How many gallons can Omar's tank hold?

castortr0y [4]

1/10x + 6 = 2/5x
6 = 2/5x - 1/10x
6 = 4/10x - 1/10x
6 = 3/10x
6 / (3/10) = x
6 * 10/3 = x
60/3 = x
20 = x <=== the gas tank can hold 20 gallons

4 0

2 years ago