3 years ago

A brother is 3 years older than his sister. Five years ago, the ratio of their ages was 4 : 3. Find the boy age.

Mathematics

1 answer:

Wewaii [24]3 years ago

5 0

17 years old
12:9
12 + 5 is 17

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A sector with a radius of 8 cm has an area of 56pi cm2. What is the central angle measure of the sector in radians?

Maurinko [17]

Answer:

$\frac{7\pi}{4}$ .

Step-by-step explanation:

Given information:

Radius of circle = 8 cm

Area of sector = $56\pi\text{ cm}^2$

Formula for area of sector is

$A=\dfrac{1}{2}\theta r^2$

where, r is radius and $\theta$ is central angle in radian.

Substitute $A=56\pi$ and r=8 in the above formula.

$56\pi=\dfrac{1}{2}\theta (8)^2$

$56\pi=\dfrac{64}{2}\theta$

$56\pi=32\theta$

$\dfrac{56\pi}{32}=\theta$

$\dfrac{7\pi}{4}=\theta$

Therefore, the measure of the sector in radians is $\frac{7\pi}{4}$ .

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natta225 [31]

Answer:

Idk

Step-by-step explanation:

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Heather's puppy weighs 23 pounds. He has been gaining (3 pounds every month as he grows. If this pattern continues, how much wil

disa [49]

It will be 5x3=15+23=38 so 38 pounds the puppy weigh

3 0

3 years ago

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Problem page an 11 - ft ladder leans against the side of a house. the bottom of the ladder is 8 ft from the side of the house. h

Lisa [10]

A^2 + b^2 = c^2
8^2 + b^2 = 11^2
64 + b^2 = 121
b^2 = 121 - 64
b^2 = 57
b = sqrt 57
b = 7.54 rounds to 7.5 ft <==

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3 years ago

Y=-2 y=3x+1 in graph

Airida [17]

Answer:

The solution of the system is x=-1, y=-2

Step-by-step explanation:

we have

$y=-2$ ----> equation A

$y=3x+1$ ----> equation B

Solve the system by graphing

Remember that the solution of the system is the intersection point both lines

using a graphing tool

The intersection point is (-1,-2)

see the attached figure

therefore

The solution of the system is x=-1, y=-2

3 0

3 years ago