Answer:
n = -4
Step-by-step explanation:
-32=8n
Divide each side by 8
-32/8 = 8n/8
-4 = n
Answer:
the radius of sphere X is 2 times larger than the radius of sphere T
Step-by-step explanation:
Given
Surface area of sphere, T =452.16
Surface area of sphere, X= 1808.64
how many times larger is the radius of sphere X than the radius of sphere T?
Finding radius of both spheres:
Surface area of sphere is given as
A=4πr^2
Now putting value of Ta=452.16 in above formula
452.16=4πrt^2
rt^2=452.16/4π
rt^2=35.98
Taking square root on both sides
rt=5.99
Now putting value of Xa=1808.64 in above formula
1808.64=4πrx^2
rx^2=1808.64/4π
rx^2=143.92
Taking square root on both sides
rx=11.99
Comparing radius of sphere X and the radius of sphere T
rx/rt=11.99/5.99
= 2.00
rx=2(rt)
Hence the radius of sphere X is 2 times larger than the radius of sphere T!
Answer:
See below.
Step-by-step explanation:
Values are excluded if they make the denominator zero, so one rational expression could be:
(x^2 - 9) / (x + 4)(x + 7)
- when x = -4 or -7 then the denominator is zero so the values of the function is undefined for these values.
Amplitude: 1/4 (= |a|)
Frequency: 1/2 (= |b|)
Period: 4pi (= 2pi/|b|)
Answer:
- Tamara needs to cover a total of <u>476</u> square feet.
- Tamara <u>will</u> have enough material to cover all four walls.
Step-by-step explanation:
If the room dimensions are 8 1/3 feet by 11 1/2 feet, the perimeter length is ...
P = 2(L+W) = 2(8 1/3 +11 1/2) = 2(19 5/6) = 39 2/3 feet
The area of the walls is the product of this perimeter length and the height of the wall. If that height is 12 feet, then the wall area is ...
A = PH = (39 2/3 ft)(12 ft) = 476 ft²
Tamara needs to cover a total of <u>476</u> square feet.
__
If Tamara orders 480 square feet of material, ...
Tamara <u>will</u> have enough to cover all four walls.
