9514 1404 393
Answer:
42,412 ft³ each tank
84,823 ft³ both tanks added together
Step-by-step explanation:
"Congruent in size" means both tanks have the same dimensions. Each has a radius of 15 ft and a length of 120 ft. Each has half the volume of a cylinder with those dimensions.
The formula for the volume of a cylinder is ...
V = πr²h
where r is the cylinder radius, and h is the length of its axis.
We want the volume of <em>half</em> a cylinder with r=15 and h=120 (dimensions in ft). We can compute that using ...
V = 1/2π(15 ft)²(120 ft) = π(225 ft²)(60 ft)= 13500π ft³
If we want the volume to the nearest cubic foot, we need a value of pi that is at least 7 significant digits (3.14 isn't appropriate). Then the volume is about ...
(13,500)(3.141593) ft³ ≈ 42,411.5 ft³ ≈ 42,412 ft³
Both tanks have a volume of 42,412 ft³ each.
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<em>Additional comment</em>
The question, "What is the volume of both tanks?" is ambiguous. We're not sure if the combined volume is intended, or if the volume of each of the two tanks is intended. Both numbers are provided, so you can sort it out as you see fit.
Answer:
The speed is:
5 meters per second
In then seconds: 50 meters
Step-by-step explanation:
1 hour = 3600 seconds
1 km = 1000 meters
18km = 18*1000 = 18000 meters
then:
18km/h = 18000m/3600sec = 5m/s
The speed is:
5 meters per second
proportions:
5 meters ⇔ 1 second
W meters ⇔ 10 seconds
W = 5*10/1
W = 50 meters
9514 1404 393
Answer:
(d) ∠H ≅ ∠J
Step-by-step explanation:
We already know that ∠G is congruent to itself. If we show (by translation or other means) that ∠I ≅ ∠K, then we know that ΔGHI ~ ΔGJK. The third angle in each triangle will be congruent, too.
∠H ≅ ∠J
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The problem is concerned with angles, so the first two answer choices are irrelevant. If two angles are shown congruent, the triangles are congruent by AA similarity, so the third answer choice is incorrect.
First one is 16, second is 10, third is 4, and fourth is -2. explanation: you plug in the x values they give you and you find the y by multiplying then adding the 4. hope this helps! :)
Answer:
(3, 0)
Step-by-step explanation:
we have
we know that
The x-intercept is the value of x when the value of y is equal to zero
so
For y=0
substitute in the equation and solve for x
Divide by 7 both sides
therefore
The x-intercept is the point (3,0)
