241.15 im so sorry if its incorrect, hope it helps you tho!
Given:
Consider the below figure attached with this question.
∠EFH = (5x + 1)°, ∠HFG = 62°, and ∠EFG = (18x + 11)°
To find:
The measure of ∠EFH.
Solution:
From the figure it is clear that ∠EFG is divide in two parts ∠EFH and ∠HFG. So,
Isolate variable terms.
Divide both sides by 13.
The value of x is 4.
Therefore, the measure of ∠EFH is 21°.
Answer:
x^2 + 7x + 3 in^2.
Step-by-step explanation:
The area of the whole frame = (5x + 3)(x + 6)
= 5x^2 + 33x + 18
So the area of the rim = 5x^2 + 33x + 18 - (4x^2 + 26x + 15)
= x^2 + 7x + 3 in^2.
Answer:
2244 cm
Step-by-step explanation:
The first first thing we must do is find the LCM of the following numbers
(51; 68) = 204.
This means that the first time they coincide is at 204.
Now, since his steps always coincide after 204
In Nick's case
Nick's 204 ÷ 51 = 4th step
and in the case of the father
204 ÷ 68 of his father = 3rd step.
Which means that in the 204 cm distance, there will be a total of 6 foot steps, except in the first 204 cm when your "initial" step is counted.
Replacing these values we have that the total distance will be:
67-1 (initial step) / (6 * 204) = 2244 cm
Answer:
Sa = 1.5*V
Step-by-step explanation:
We have that the surface area of a sphere has the following formula:
Sa = 4*pi*r^2
we know that r = 2, so if we replace it, we're left:
Sa = 4*pi*(2^2)= = 4*pi*4
Sa = 16*pi
Now, the volume has the following formula:
V = 4/3*pi* r^3
Replacing it is our job:
V = 4/3*pi* (2^3) = 4/3*pi*8
V = 32/3*pi
Now, Sa/V, it would remain:
Sa/V = 16*pi / 32/3*pi
Sa/V = 48/32 = 1.5
Therefore, Sa = 1.5*V
