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yanalaym [24]
2 years ago
11

Use the volume formula to find the volume of the prism.

Mathematics
2 answers:
Hatshy [7]2 years ago
8 0

Answer:

i think its B. 5 cubic units

Step-by-step explanation:

Genrish500 [490]2 years ago
7 0

Answer:

D.\ 4\frac{1}{2}

Step-by-step explanation:

Remember : 1 1/2 = (2+1)/2 = 3/2

Formula :

\large \text Volume\ V \ of  \ a  \ rectangular  \ prism \ =base\  \times\ height

Then

V=\left( 2\times 1\frac{1}{2} \right)  \times 1\frac{1}{2}

   =\left( 2\times \frac{3}{2} \right)  \times \frac{3}{2}

   =3 \times \frac{3}{2}

   =\frac{9}{2}

   =\frac{8+1}{2} = \frac{8}{2} +\frac{1}{2} =4+\frac{1}{2} =4\frac{1}{2}

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1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26
statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

<u>Part A</u>

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

<u>Part B</u>

The graph's function would be in the form of y=acos(bx+c)+d where a is the amplitude, \frac{2\pi}{b} is the period, -\frac{c}{b} is the phase/horizontal shift, and d is the average/midline.

We already know our amplitude of a=3 from part A.

Since our period is given to us as 26 seconds, then we can use the equation \frac{2\pi}{b}=26 to find b, which happens to be b=\frac{\pi}{13}.

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity sin(x)=cos(x-\frac{\pi}{2}) which shifts the cosine graph \frac{\pi}{2} units to the right. This means that c=-\frac{\pi}{2}, making our phase shift -\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5, or 6.5 feet to the right

Our average/midline would be d=12 as given as the average height by the problem.

Therefore, the function is f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12

<u>Part C</u>

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

5 0
3 years ago
Read 2 more answers
Explain how you can find the number of feet in 40 yards
julia-pushkina [17]
Basically 3 feet are in a yard and so you have to multiply X amount of yards by 3 to get feet and in this case you will get 120 as your Answer!<span />
5 0
3 years ago
Write an equation of the line that passes through a pair of points:
FinnZ [79.3K]

Answer:

The answer is y=4x+14 or C)

Step-by-step explanation:

m=slope                      To find equation of the line you need to do m=1+3/-3+4    m=4      y-y1=m(x-x1)     y+3=4(x+4)     y+3=4x+16     y=4x+13

5 0
3 years ago
A pool company is creating an image for a client that has the look of a 3-D image for a family pool and a similar dog pool. Find
Natasha_Volkova [10]

Answer:

Step-by-step explanation:

As the two pools, Family pool and Dog pool, are similar, their interior angles are equal and their corresponding sides are in the same proportion:

LMNO ~ PQRS

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substituting in the given values

4/2 = 6/c = a/5 = 7/b

c = 6/2 = 3

a = 5*2 = 10

b = 7/2 = 3.5Answer:

Step-by-step explanation:

As the two pools, Family pool and Dog pool, are similar, their interior angles are equal and their corresponding sides are in the same proportion:

LMNO ~ PQRS

so LM/PQ = MN/QR = NO/RS = OL/SP

substituting in the given values

4/2 = 6/c = a/5 = 7/b

c = 6/2 = 3

a = 5*2 = 10

b = 7/2 = 3.5

3 0
3 years ago
Please helppp!!!! will give 5 stars if correct.
Yakvenalex [24]

Answer:

60

Step-by-step explanation:

Because the diameter of this circle is 20 and the formula for the circumference (perimeter) of a circle is pi * the diameter, or πd, which, if π is 3, can be computed as 60.

A takeaway from this problem is that you should memorize basic equations like the circumference/area of a circle.

6 0
3 years ago
Read 2 more answers
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