Hello,
315=1*180+135
180=1*135+45
135=3*45+0
GCF(315,180)=45
180/315=4*45/(7*45)=4/7
Answer:
<u>27π units²</u>
Step-by-step explanation:
The rest of the question is the attached figure.
This shape represents (3/4) of a full circle.
So, find the area of a full circle with radius 6 units, then multiply the result by 3/4 to obtain the area of the given shape.
Area of full circle = π r²
So, Area of full circle = π(6)² = 36π units²
Then the area of the given shape is = <u>(3/4)(36π) = 27π units²</u>
A central angle θ in a circle of radius 5 m is subtended by an arc of length 6 m. Find the measure of θ in degrees. (Round your answer to one decimal place.)
Answer:
Did you just start today? It looks like you're new here. I'm also new here.
Step-by-step explanation:
I don't really know what to do either.
From what I've done so far, I don't understand it.
Sorry.
Answer:
Part 1) Helen's age is 32 years old and Jane's age is 24 years old
Part 2) 13 twenty-dollar bills
Step-by-step explanation:
Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?
Let
x----> Helen's age
y---> Jane's age
we know that
x=y+8 ----> equation A
(x-20)=3(y-20) -----> equation B
substitute equation A in equation B and solve for y
(y+8-20)=3(y-20)
y-12=3y-60
3y-y=60-12
2y=48
y=24 years
Find the value of x
x=y+8
x=24+8=32 years
Part 2)
Let
x-----> the number of five-dollar bills
y----> the number of twenty-dollar bills
we know that
5x+20y=305 -----> equation A
y=x+4 ------> x=y-4 ------> equation B
substitute equation B in equation A and solve for y
5(y-4)+20y=305
5y-20+20y=305
25y=325
y=13 twenty-dollar bills
Find the value of x
x=y-4
x=13-4=9 five-dollar bills
