Answer:
55 m²
Step-by-step explanation:
The arc length of a half-circle is πr, so the area of the curved surface is ...
A = πrl = π(2.5 m)(7 m) = 17.5π m² ≈ 55 m²
Answer:
The last option
Step-by-step explanation:
Answer:
<u>The solution for this system is x = 1/2 and y = 9/2</u>
Step-by-step explanation:
1. We have this system of equations:
x - 3y = -13 and 5x + 7y = 34
2. Let's try to find out the value of x on the first equation:
x - 3y = - 13
x = 3y - 13
3. Now, let's replace x on the second equation for finding y:
5x + 7y = 34
5 (3y - 13) + 7y = 34
15y - 65 + 7y = 34
22y = 34 +65
22y = 99
2y = 9 (Dividing by 11 at both sides)
<u>y = 9/2</u> (Diving by 2 at both sides)
4. Now, let's find out the value of x on the first equation, using the value of y:
x - 3y = - 13
x - 3 (9/2) = - 13
x - 27/2 = -13
x = -13 + 27/2
x = (-26 + 27)/2 (Adding - 13 and 27/2)
<u>x = 1/2</u>
5. Finally, let's prove the values of x and y are correct on the second equation of the system:
5x + 7y = 34
5 (1/2) + 7 (9/2) = 34
5/2 + 63/2 = 34
(5 + 63)/2 = 34
68/2 = 34
<u>34 = 34</u>
<u>It has been proved that x = 1/2 and y = 9/2 are correct</u>
The answer should be 123/500
Answer:
D. 35
Step-by-step explanation:
I set up a proportion to solve for x. I divided 14 by 8 to find the ratio. After finding that ratio to be 7/4, I multiplied 7/4 to 20 to get 35 as the answer.
