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deff fn [24]
3 years ago
8

The volume of the box is 60 cubic inches. What are the length, width, and height of the box?

Mathematics
1 answer:
Serggg [28]3 years ago
8 0

Answer: The volume is the product of the Length, Width, and Height: V = LWH.

Step-by-step explanation: We are given V = 240 in.3, and H = 6 in., and L = W + 3 in.

Thus 240 in.3 = (W+3 in.)*W*(6 in.) so W(W+3 in.) = 240 in.3 / 6 in. = 40 in.2

Using the distributive property and moving the constant to the left gives:

W2 + (3 in.)W - 40 in.2 = 0

This factors:

(W + 8 in.)(W - 5 in.) = 0

The first factor gives W = -8 in. which is nonsense because it is negative.

The second factor gives a valid answer of W = 5 in.

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A ship is sailing due north. At a certain point the bearing of a lighthouse is N 42.8∘E and the distance is 10.5. After a while,
bija089 [108]

Answer:

How far did the ship travel between the two observations of the lighthouse  = 9.29

Step-by-step explanation:

the first step to answer this question is drawing the illustration as the attachment.

P is the ship, R is the light house and Q is the bearing.

PR is the distance between the ship and the light house, PR = 10.5

∠P = 42.8°, ∠Q = 59.7°

Thus, ∠R = 180° - ∠P  - ∠Q

               = 180° - 42.8°- 59.7°

               = 77.5°

PQ is the the distance of the ship moving. We can use the sinus equation

\frac{PR}{sin R} = \frac{PQ}{sin Q}

\frac{10.5}{sin 77.5°} = \frac{PQ}{sin 59.7°}

PQ = (\frac{10.5}{Sin 77.5°})(sin 59.7°)

     = 9.29

5 0
2 years ago
Suppose an astronaut can jump vertically with an initial velocity of 5 m/s. The time that it takes him to touch the ground is gi
Vitek1552 [10]

Answer:

t=1.020s

Step-by-step explanation:

Given Equation:

5t-0.5at^{2} =0

Actually the given equation is the 2nd equation of motion

i.e. S =V_{i} t+0.5at^{2}

where S=0 because the astronaut jumps on the earth

and initial velocity V_{i}=5

to find time t, put the given value of a=9.8m/s^{2} in the given equation, we get

5t-0.5(9.8)t^{2} =0\\t(5-4.9t)=0\\ \ dividing\ both\ sides\ by\ t\ we \ get\\ 5-4.9t=0\\4.9t=5\\t=\frac{5}{4.9}\\ t=1.020s

it will take t=1.020s to reach the ground if he jumps on the Earth

3 0
3 years ago
There is a 12-ft fence on one side of a rectangular garden. The gardener has 44 ft of fencing to the enclose the other three sid
Morgarella [4.7K]

Answer:

  16 ft

Step-by-step explanation:

One of the other three sides is 12 ft. After that fence is subtracted from the total, there are 32 ft of fence left for the other two sides of the rectangle. That allows those sides to be 32 ft/2 = 16 ft long.

The rectangle can be 12 ft by 16 ft. The longer dimension is 16 ft.

7 0
3 years ago
A scale drawing of a patio is shown here. The scale is 4 inches : 6.8 feet. What is are length and width of the patio? Find the
mars1129 [50]

Answer:

A

Step-by-step explanation:

Divide 6.8ft by 4in then you get 1.7 and the multiply 15 an 14 by 1.7 then you get 25.5 and 23.8 then multiply 25.5 with 23.8 and get 606.9

4 0
2 years ago
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Describe the transformation
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I believe the best answer is C- the yellow rectangle was reflected over both axes
7 0
3 years ago
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