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meriva
3 years ago
9

A rectangular prism has a height of 16 inches. The base of the prism has an area of 35 square inches.

Mathematics
1 answer:
Westkost [7]3 years ago
4 0

Answer:

560 in³

Step-by-step explanation:

For a rectangular prism, use the formula V = bh, with b representing the base and h representing the height.

Equation: V = bh

Replace: V = 35(16)

Multiply: V = 560 in³

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At Colin's school, the pep club is selling two-colored tie-dyed shirts. Refer to the tree diagram. How many combinations of colo
shusha [124]

Answer: b

Step-by-step explanation:

5 0
2 years ago
A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

  • Midline, also known as rest or equilibrium position: y = 0
  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
  • period: the interval of repetition of the function = 2π

The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

  • Midline: y = D (it is a vertical shift from the parent function)
  • Minimum: - A + D
  • Maximum: A + D
  • Amplitude: A
  • period: 2π/B
  • phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
  • Minima: 3(-1) - 1 = - 3 - 1 = -4
  • y-intercept: (0, - 1)
  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0
3 years ago
Help Me PLEASESESESESES!
navik [9.2K]

Answer:

5375 should be it

Step-by-step explanation:

4 0
2 years ago
Out of 83 children, 39 are boys and 55 have been
Crank
Sounds like an id 10 t problem
5 0
3 years ago
A buyer purchases 75 yards of material for $120. Then an additional 90 yards are ordered. What is the additional cost?
dezoksy [38]

Answer:

$128

Step-by-step explanation:

1. We need to find how much 1 yard of material cost.

If needed, use a calculator*

120/75=1.6

2. Now we need to know how much 15 yards of material cost.

1.6 times 15=24

3. The buyer ordered an additional 90 yards. If we know how much 75 yards cost, and 15 yards, all you have to do is...

120+24=144

90 yards=$144

4. The additional cost is $144

(Note: the total cost would be $264 (120+144=264))

4 0
3 years ago
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