Answer:
242
Step-by-step explanation:
Simplify the following:
11 ((9^2 - 5^2)/2^2 + 8)
Hint: | Evaluate 2^2.
2^2 = 4:
11 ((9^2 - 5^2)/4 + 8)
Hint: | Evaluate 5^2.
5^2 = 25:
11 ((9^2 - 25)/4 + 8)
Hint: | Evaluate 9^2.
9^2 = 81:
11 ((81 - 25)/4 + 8)
Hint: | Subtract 25 from 81.
| 7 | 11
| 8 | 1
- | 2 | 5
| 5 | 6:
11 (56/4 + 8)
Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4.
The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:
11 (14 + 8)
Hint: | Evaluate 14 + 8 using long addition.
| 1 |
| 1 | 4
+ | | 8
| 2 | 2:
11×22
Hint: | Multiply 11 and 22 together.
| 2 | 2
× | 1 | 1
| 2 | 2
2 | 2 | 0
2 | 4 | 2:
Answer: 242
the center square is 20 x 20 = 400
there are 4 12 x 20 areas
12*20 = 240*4 = 960
960+400 = 1360 square inches
Answer:
3/4 = 16/x. Step-by-step explanation: Set up the original ratio: 3:4 (a.k.a. 3/4 or 3 to 4) Because 16 correlates to red paint and 3 correlates to red paint the will be in the same location (as the numerator or denominator).. Also, the amount of blue paint is unknown so that is x.4 also represents blue paint, so 4 and x will also be on the same level (as the numerator of denominator).
Step-by-step explanation:
Answer:
- 1296 pounds per square inch
Step-by-step explanation:
<u>Direct variation equation:</u>
<u>In this case it is:</u>
- y = kx², where y- strength, x- depth of the beam, k- coefficient
<u>Substitute the given values and solve for k:</u>
- 3600 = k*10²
- 3600 = 100k
- k = 3600/100
- k = 36
<u>The equation becomes:</u>
<u>Now, find the value of y, when x is 6:</u>
<u><em>Note, I took the depth as 6 inches but the question is a bit confusing by saying "four six inches". If it is 4 inches then your answer will be:</em></u>
Answer:
0.102 s
Step-by-step explanation:
Given the following :
Initial speed (u) = 1 m/s
How long does it take the bean bag to reach maximum height?
At maximum height, the final velocity v = 0
Acceleration due to gravity g = - ve (upward motion) =? - 9. 8m/s²
Using the relation:
v = u + gt
0 = 1 - 9.8t
9.8t = 1
t = 1 / 9.8
t = 0.102 s
