Nice
area=pir^2
the areas are
pir^2+pi(2r)^2
they add to 8pi
8pi=pir^2+pi(2r)^2
undistribute pi
8pi=pi(r^2+(2r)^2)
divide both sides by pi
8=r^2+(2r)^2
expand
8=r^2+4r^2
add
8=5r^2
divide by 5
8/5=r^2
sqrt both sides
√(8/5)=r
double since it is double
2√(8/5) is radius of bigger aka (4√10)/5
radius=(4√10)/5
A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number.
hope it helps!
Since the largest size of one of the dimensions is 10.5, it has to correspond with the long side of the card, the 5 in. side. To find the proportion of the sides, divide 10.5 by 5. Then, multiply the other side of the card by the quotient.
10.5/5 = 2.1
2.1 * 2 = 4.2
4.2in is the shorter side. Your question asks to round to the nearest tenths, the smallest place value of the answer is already the tenths place.
Answer:
$11.32
Step-by-step explanation:
Greeting Cards = $1.5 x 2 = $3
Wrapping Paper = $2.29 x 3 = $6.87
Ribbon = $1.45 x 1 = $1.45
So now we must add the totals to figure out how much money Barbra spent in total.
$3 + $6.87 + $1.45 = $11.32
First, you factor and simplify (respectively) the numerator and denominator. Your equation becomes:
Notice, there is a (x + 7) on both the top and the bottom. Because of this, they cancel each other out. What is left is your answer:
