Answer:
C=14pi cm
A=49pi cm^2
Step-by-step explanation:
1) Circumference of a circle is 2piR and R=7cm
C=2pi(7)
C=14pi cm
2) Area of a circle is piR^2 and R=7cm
A=pi (7)^2
A=49pi cm^2
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have

but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.


Answer:
c., d., f
Step-by-step explanation:
"elana walked 12 miles"
That is 12.
"then she walked 1/4 that distance"
That is 1/4 of 12 miles, so it is 1/4 * 12
She walked altogether
12 + 1/4 * 12 = 12 + 3 = 15
She walked altogether 15 miles.
a.12+1/4 = 12.25 which is not 15
b.12×1/4 = 3 which is not 15
c.12+1/4×12 = 12 + 3 = 15 which is correct
d.12(1+ 1/4) = 12(1.25) = 15 which is correct
e.12×3/4 = 9 which is not 15
f.12×5/4 = 15 which is correct
Answer: c., d., f
Answer:
you get a pair of red socks. There are 10 socks in the drawer, and 2 are red. Therefore the probability that the first one will be red is 2/10 = 1/5.
Step-by-step explanation:
Answer:
The answer is ( 1 , -2) in point form or x = 1 , y = -2 in eqaution form.
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.