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Gnom [1K]
3 years ago
8

(WILL DO BRAINLIST)

Mathematics
1 answer:
Lynna [10]3 years ago
6 0
You have a function y= \dfrac{3}{2} \left(1+\sin  \left(\dfrac{2t+1}{2}\cdot \pi\right) \right).
Since the range of the function y=\sin x is [-1,1] you have that

-1\le \sin \left(\dfrac{2t+1}{2}\cdot \pi\right)\le 1 \\ 0\le 1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \le 2 \\ 0\le \dfrac{3}{2} \left(1+\sin \left(\dfrac{2t+1}{2}\cdot \pi\right) \right)\le 3.
Answer: The range of given function is [0,3] and the correct choice is C.
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A rectangular swimming pool is 20 ft long 15 feet wide,and 6 feet deep. How much water is needed to fill the pool completely ?
sergejj [24]

Answer: 1,800 ft.³

Step-by-step explanation: To find out how much water is needed to fill the pool, we need to find the volume of the pool. It's also important to understand that the swimming pool is a rectangular prism so we are finding the volume of a rectangular prism.

To find the volume of the pool, we use the formula shown.

<em>Volume = length × width × height </em>

Since the length of the pool is 20 feet, the width is 15 feet, and the depth or height is 6 feet we can plug this information into the formula.

Volume = (20 feet) (15 feet) (6 feet) = 1,800 ft.³

Therefore, it will take 1,800 cubic feet of water to fill the pool.

6 0
3 years ago
Each paper clip is 3/4 of an inch long and cost 0.02. Exactly enough paper clips I laid into him to have a total length of 36 in
Artist 52 [7]

Answer:

0.96

Step-by-step explanation:

price of 0.75 inch paper clip = 0.02$

To get price of 36 inches

0.75 --------0.02

36. --------. X

X = (36*0.02)/0.75 = 0.96$

6 0
3 years ago
Match the following items.<br> Plane<br> Point<br> Line<br> Ray<br> Line segment
Sophie [7]

Answer:

The first one is a line because a line extends infinitely in both directions which the arrows indicate.

The second one is a plane since it is a 2-dimensional shape.

The last one depicts 2 rays because rays have one endpoint, but extend infinitely in the other direction.

8 0
4 years ago
Express this number in scientific notation. <br> 0.0013?
NeX [460]

Answer:

1.3*10^-3

Step-by-step explanation:

When using scientific notation, if you are moving to the left it is a positive exponent. If you are moving to the right it is a negative exponent. since we moved the decimal point to the right, the exponent will be negative.

3 0
3 years ago
Read 2 more answers
Analyze the reflectional symmetry of the regular polygons. The square has -fold reflectional symmetry. The regular octagon has -
postnew [5]

Answer:

The square has 4-fold reflectional symmetry. The regular octagon has 8-fold symmetry.

Step-by-step explanation:

For a square,

There are two lines of symmetry along two diagonals and

two lines of symmetry along midpoints of two pairs of opposite sides.

Therefore, there are 4 lines of reflectional symmetry in total.

For a regular octagon,

There are four lines of symmetry along four diagonals and

four lines of symmetry along midpoints of four pairs of opposite sides.

Therefore, there are 8 lines of reflectional symmetry in total.

8 0
3 years ago
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