Answer:
x - y = 118
Step-by-step explanation:
Since ∠ NOP and ∠ NOQ are complimentary then ∠ POQ = 90°
Since JOK is a straight line then
∠ JOP + ∠ POQ + ∠ QOK = 180 , that is
76 + 90 + y = 180
166 + y = 180 ( subtract 166 from both sides )
y = 14
Since MON is a straight line then
∠ MOK + ∠ KOQ + ∠ QON = 180, that is
x + 14 + 34 = 180
x + 48 = 180 ( subtract 48 from both sides )
x = 132
Thus
x - y = 132 - 14 = 118
Answer:
48 in³
Step-by-step explanation:
The volume (V) of a pyramid is calculated as
V =
× area of base × height
here area of base = 24 and height = 6, so
V =
× 24 × 6 = 8 × 6 = 48 in³
Answer:
2w - 13
Step-by-step explanation:
here we just simplify the expression,
3w - 4 - w - 9
becomes:
2w - 13
.....Jeremy did not make a good inference. The ratio is not in proportion to 2/15. The correct inference would be about 26 students who did not read any books in July. The sample might be biased since it was limited to those at the pool....
<h2>
Answer:</h2>
<em><u>The truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.</u></em>
<h2>
Step-by-step explanation:</h2>
In the question,
The maximum height of the vehicle which is capable of passing under the bridge is 12 feet and 5 inches.
So,
Now we know that,
1 feet = 12 inches
So,
12 feet = 12 x 12 = 144 inches
So,
Total height of the vehicle which is permissible to pass under the bridge is,
12 feet 5 inches = 144 + 5 = 149 inches
Also,
Height of the truck = 162 inches
Therefore, we can see that the permissible height is smaller than the height of the vehicle.
Height of vehicle which is more than permissible height is by,
162 - 149 = 13 inches
<em><u>Therefore, the truck cannot pass safely under the bridge. The truck is 13 inches taller than the maximum height.</u></em>