1. a
2. c
3. a
4. b
5. c
explanations:
1. the opposite of -4 is 4. you can think of this two ways: the opposite of a negative is always absolute value, or the opposite of a negative is always positive.
2. above
3. -5 > -8 because the distance -5 is from 0 is 5, and the distance from -8 to 0 is 8. 8 > 5, so -8 is farther away than -5.
4. while -8 is less than -6, but absolute value would turn -8 into 8, which is greater than -6
5. explained by all above.
Answer:
r≈3.95
Step-by-step explanation:
Using the formula
A=πr^2
Solving for r
r=A
π=49
π≈3.94933
Width = W
Length = 12W - 1
Perimeter = 2L + 2W = 37
In the perimeter equation substitute the length equation in for L to get the equation in terms of W
2L + 2W = 37
2(12W - 1) + 2w = 37
Distribute
2(12W - 1) + 2w = 37
24W - 2 + 2w = 37
26W = 39
W = 3/2 = 1.5
Width = 1.5
Lastly, solve for length
L = 12W - 1
L = (12 • 1.5) - 1
L = 18 - 1
L = 17
Length = 17
First you make 15 a fraction by putting it over 1.
Then you make 6 2/3 a mixed fraction.
To do this, you multiply 6 with 3 and add 2 to it. Then you put the number over 3.
We get
6 X 3 = 18
18 +2 = 20
20/3
Now, we divide 15/1 with 20/3.
When we divide it, we actually cross multiply it. Basically, we flip the fraction and multiply it.
So we get 15/1 X 3/20 =

.
We get 45/20 which can be simplified to
9/5 which can be simplified to
2 1/4.
So the answer is
9/4 or
2 1/4.