Step-by-step explanation:
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We know that
step 1
find the volume of reservoir
[volume of reservoir]=15*20*10-----> 3000 ft³
step 2
find the volume of water in the reservoir
<span>if it is 56% full
</span>then
volume of water is------> .56*3000----> 1680 ft³
step 3
convert ft³ to gal
if 784 gal------------> 100 ft³
X--------------> 1680 ft³
X=1680*784/100-------> X=13.171.2 gal
the answer is
13171.2 gal
Answer:
82.79MPa
Step-by-step explanation:
Minimum yield strength for AISI 1040 cold drawn steel as obtained from literature, Sᵧ = 490 MPa
Given, outer radius, r₀ = 25mm = 0.025m, thickness = 6mm = 0.006m, internal radius, rᵢ = 19mm = 0.019m,
Largest allowable stress = 0.8(-490) = -392 MPa (minus sign because of compressive nature of the stress)
The tangential stress, σₜ = - ((r₀²p₀)/(r₀² - rᵢ²))(1 + (rᵢ²/r²))
But the maximum tangential stress will occur on the internal diameter of the tube, where r = rᵢ
σₜₘₐₓ = -2(r₀²p₀)/(r₀² - rᵢ²)
p₀ = - σₜₘₐₓ(r₀² - rᵢ²)/2(r₀²) = -392(0.025² - 0.019²)/2(0.025²) = 82.79 MPa.
Hope this helps!!
So to write it out using order of operations it would be -7sinx+7sin^2x-(-7cos^2x). This would then equal 7-7sinx which can be simplified to 7(1-sinx). the way you were able to get rid of the cos^2x and the sin^2x is because cos^2x+sin^2x=1.
You can solve this in two ways.
First way:
Let’s find out how many my friend makes in one minute.
12/5=2.4
He makes 2.4 in one minute. Let’s multiply that by 20 to find what he makes in 20 minutes.
2.4•20=48
My friend made 48 desserts.
Second way:
Let’s make a ratio.
12 desserts:5 minutes
X desserts: 20 minutes
Whatever you do to one side, you have to do to the other. Since you are multiplying the minutes by 4, you have to multiply the desserts by 4.
12•4=48
So, my friend made 48 desserts.
Tell me if this helps!!!