Answer:
Step-by-step explanation:
we are given
- Amplitude:7
- Period:9π
- Phrase shift:¼
remember that,
where A is the Amplitude
B is the Period
C is the Phase shift
D is the vertical shift
note that, since D isn't given we'll take it 0
altogether substitute:
hence,
our equation is
and we are done!
the first step is to convert the diameter into a radius measure by using the formula d=2r
when we solve the formula the radius is calculated to be 1.5
use the surface area formula above and your height and radius measurement to find out the area of sheet metal you would need.
2pi(1.5)^2+2pi(1.5)(5)
using 3.14 for pi this equates to 61.23in^2
Answer:
27, 29, 31
Step-by-step explanation:
We want to find a, b, c so that
a + c = b + 29
and
a = b - 2, c = b + 2
and
b is odd.
This results in
b - 2 + b + 2 = b + 29
with one solution:
b = 29.
Answer:
Length = 16.3 in and Width = 12.3 in
Step-by-step explanation:
Let's name L the length and W the width of the rectangle. We can then write equations describing the statements given:
"<em>the length of a rectangle is 4 more than the width</em>"
L = W + 4
"<em>the perimeter of the rectangle is 57.2 inches</em>"
2 L + 2 W = 57.2
(where we used the formula for the perimeter of the rectangle equal to twice the rectangle's length plus twice the rectangle's width)
Now we use the first equation to substitute for L in the second one:
2 ( W + 4) + 2 W = 57.2
use distributive property to remove parenthesis
2 W + 8 + 2 W = 57.2
combine like terms
4 W + 8 = 57.2
subtract 8 from both sides
4 W = 57.2 - 8 = 49.2
divide both sides by 4 to isolate W
W = 49.2 / 4 = 12.3 in
Now we use this result in the first equation we wrote, to find L
L = W + 4 = 12.3 + 4 = 16.3 in
Therefore : Length = 16.3 in and Width = 12.3 in
Answer:
B
Step-by-step explanation:
logₓ 7 = 3
x³ = 7
Take cube root both sides
![x= \sqrt[3]{7}](https://tex.z-dn.net/?f=x%3D%20%5Csqrt%5B3%5D%7B7%7D)
