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ipn [44]
3 years ago
11

Consider two congruent triangular prisms. Each rectangular face of prism A has a width of x + 3 and each rectangular face of pri

sm B has a length of 3x + 4. If each rectangular face of prism A has an area of 20x + 148, what is the area of one of the triangular bases of prism B? (round to nearest whole number in cm2)
A) 46 cm2
B) 49 cm2
C) 52 cm2
D) 55 cm2
Mathematics
2 answers:
Vinvika [58]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Sergeu [11.5K]3 years ago
5 0
D good guess ‍♀️ :) good luck on your homework or quiz or test :)
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A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po
Mariana [72]

Answer:

The work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

Step-by-step explanation:

The work is defined by:

W=\int dFdx (1)    

The force here will be the product between the volume and the kerosene weighing, so we have :

dF=\pi R^{2}dy*50

This force will be in-lbs.

Where R is the radius (3 feet)                    

Then using (1), we have:

W=\int \pi R^{2}dy*50(8-y)  

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)

W=450\pi \int_{0}^{8}dy(8-y)

W=450\pi(\int_{0}^{8} 8dy-\int_{0}^{8} ydy)

W=450\pi(8y|_{0}^{8} -\frac{y^{2}}{2}|_{0}^{8})  

W=450\pi(8*8 -\frac{8^{2}}{2})

W=450\pi(64 -\frac{64}{2})

Therefore, the work done to  pump all of the kerosene from the tank to an outlet is W=45238.9\: J  

I hope it helps you!  

6 0
3 years ago
Find the value of the following 1.8456×101​
Alex Ar [27]

Answer:

186.4056

Step-by-step explanation:

Used a calculator, this is correct

4 0
2 years ago
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ioda
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3 years ago
I REALLY NEED HELP!!!
valkas [14]

Answer:

Oh naw i can't help you with that one man but thanks for the points 63567Step-by-step explanation:

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7 0
2 years ago
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Luda [366]
Take the natural log of both sides

ln(2^x)=ln(.125)
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ALTERNATIVE ROUTE:
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