Answer:
13.35 millimeter. (About)
Step-by-step explanation:
To find the area or circumference of any circle, you need to use pi. So, if we are trying to fine the area of a <em>semicircle, </em>you use the the formula:
πr²/2
So, if the radius is 8.5,
8.5 · 3.14 = 26.69
Now we divide it by 2.
26.69 = 13.345
Since the question is asking to round to the hundredths, the answer will be 13.35 millimeters.
Answer:
12. 10.5 cm
13. 16 m
14. 8 m
15. 50.24 m
16. 200.96 m2
17. (16+4 =20 ÷2 =10 ·10·π =314 ÷2 =157) + (16·4 =64) =221 in2
18. (1.1 · 1.2 =1.32) + (1.2 · 4 =4.8 ÷2 =2.4) =3.72 in2
19. 10·5=50
20. c.(1/2 d)^2·π
Answer:
- a) 6
- b) 3t² - 17t + 28
- c) 3t² - 5t - 2
Step-by-step explanation:
<u>Given function:</u>
a) g(2)
- g(2) = 3*2² - 5*2 + 4 =
- 3*4 - 10 + 4 =
- 12 - 6 =
- 6
b) g(t - 2)
- g(t - 2) = 3(t - 2)² - 5(t - 2) + 4 =
- 3(t² - 4t + 4) - 5t + 10 + 4 =
- 3t² - 12t + 12 - 5t + 16 =
- 3t² - 17t + 28
c) g(t) - g(2)
- g(t) - g(2) = 3t² - 5t + 4 - 6 =
- 3t² - 5t - 2
Answer:
k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Step-by-step explanation:
Solve for k over the real numbers:
4 k - 10/k = 8
Bring 4 k - 10/k together using the common denominator k:
(2 (2 k^2 - 5))/k = 8
Multiply both sides by k:
2 (2 k^2 - 5) = 8 k
Expand out terms of the left hand side:
4 k^2 - 10 = 8 k
Subtract 8 k from both sides:
4 k^2 - 8 k - 10 = 0
Divide both sides by 4:
k^2 - 2 k - 5/2 = 0
Add 5/2 to both sides:
k^2 - 2 k = 5/2
Add 1 to both sides:
k^2 - 2 k + 1 = 7/2
Write the left hand side as a square:
(k - 1)^2 = 7/2
Take the square root of both sides:
k - 1 = sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
k = 1 + sqrt(7/2) or k - 1 = -sqrt(7/2)
Add 1 to both sides:
Answer: k = 1 + sqrt(7/2) or k = 1 - sqrt(7/2)
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
