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polet [3.4K]
2 years ago
10

Find the volume of the rectangular prism (Please help fast!)

Mathematics
2 answers:
julsineya [31]2 years ago
5 0

Answer:

Vol = 294 cubic ft

Step-by-step explanation:

Vol = l × w × h

But l × w is the area of the base. So another formula for volume is:

Volume =

Base area × height

V = Bh

This also works for any prism(any shaped base), cubes, and cylinders.

Here, V = 42×7

V = 294 ft^3

vodomira [7]2 years ago
4 0

Answer:

6

Step-by-step explanation:

so this is (base times hight)

(bH)

42=7x

you didvide 7 from both sides

42 divided by 7 is 6

so basically its 6

because that would be your base thats what you are missing

then its just baseically (BH) (7 times 6)= 42

if this is wrong im so sorry I just learned this good luck

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Daniela invested a total of $50,000, some in a certificate of deposit (CD) and the remainder in bonds. The amount invested in bo
LekaFEV [45]

Answer:

The amount invested in bonds = 35,000

The amount invested in CD = 15,000.

Step-by-step explanation:

The total amount that Daniela invested is $50,000, this means if we call the amount invested in bonds b, and the amount invested in CD d, then we have:

b+d=50,000 this says the total amount Daniela invested is $50,000.

And since the amount invested in bonds b is $5,000 more than twice the amount Daniela put into the CD, we have:

b=5,000+2d.

Thus, we have two equations and two unknowns b and d:

(1). b+d=50,000

(2). b=5,000+2d,

and we solve this system by substituting b from the second equation into the first:

b+d=50,000\\5,000+2d+d=50,000\\3d=45,000\\\\\boxed{d=15,000}

or, the amount invested in CD is $15,000.

With the value of d in hand, we now solve for b from equation(2):

b=5,000+2d\\b=5000+2(15,000)\\\boxed{b=35,000}

or, the amount invested in bonds is $35,000.

4 0
3 years ago
Read 2 more answers
You are wrapping a gift box that is 16 inches long, 7 inches wide, and 9 inches tall. Find the amount of wrapping paper you need
Svetach [21]

Answer:

638 in.²

Step-by-step explanation:

Assuming you need to cover just the surface area of the box with no overlaps, and the shape is a rectangular prism, then you need to find the surface area of a rectangular prism.

SA = PH + 2LW

where

P = perimeter of base = 2(L + W),

H = height of prism

L = length of base

W = width of base

SA = 2(16 + 7)(9) + 2(16)(7)

SA = 638

5 0
3 years ago
Which of the following correctly expresses sin (70) + sin(30) as a product?
JulsSmile [24]

Answer:

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Step-by-step explanation:

We need to write sin (70) + sin(30) as a product. The formula used here is :

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Here, A = 70 and B = 30

So,

\sin 70+\sin 30=2\sin (\dfrac{70+30}{2})\cos(\dfrac{70-30}{2})\\\\\sin 70+\sin 30=2\sin 50\cos20

So, the value of sin (70) + sin(30) is 2sin50 cos20. Hence, the correct option is  (c).

7 0
3 years ago
Henry bought 4 pies, which he plans to share with a group of his friends. If there is exactly enough to give each
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Answer:

Step-by-step explanation:

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3 years ago
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