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Nina [5.8K]
3 years ago
7

The rectangle shown represents the base of a cracker box shaped like a rectangular prism. Use the ruler provided to measure the

length and width of the rectangle to the nearest 1/4 inch. The height of the box is 6 inches. What measurement is closest to the volume of the prism in cubic inches.
Mathematics
1 answer:
malfutka [58]3 years ago
7 0

There is no rectangle shown, nor ruler given to measure and attempt your work. Nevertheless, I will illustrate how to find the volume of a rectangular prism.

Step-by-step explanation:

Given a rectangular prism of sides

Length = l

Width = w

Height = h

The volume of this prism is given as

V = l × b × h.

Example, if

Length = 4cm

Width = 3cm

Height = 2cm

Volume = 4 × 3 × 2

= 24cm³.

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7 0
3 years ago
To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​
galina1969 [7]

Answer:

A

Step-by-step explanation:

We want to solve the equation:

5\sin(2x)=3\cos(x)

To do so, we can rewrite the equation.

Recall the double-angle for sine:

\sin(2x)=2\sin(x)\cos(x)

By substitution:

5\left(2\sin(x)\cos(x)\right)=3\cos(x)

Distribute:

10\sin(x)\cos(x)=3\cos(x)

We can subtract 3cos(x) from both sides:

10\sin(x)\cos(x)-3\cos(x)=0

And factor:

\cos(x)\left(10\sin(x)-3\right)=0

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

5 0
2 years ago
Read 2 more answers
Please Help Me <br> Thank u so much
BartSMP [9]
The location of the vertex tells you the horizontal and vertical shift. (The parent function f(x) = x² has its vertex at the origin, (0, 0). The vertical distance of the point 1 unit left or right of the vertex in relation to the vertex tells you the vertical scale factor (stretch).

g(x) = f(x +3) -3
  horizontal shift left 3
  vertical shift down 3

h(x) = -3f(x)
  reflection across the x-axis
  vertical stretch of 3

d(x) = f(x -3) -3
  horizontal shift right 3
  vertical shift down 3
6 0
3 years ago
52 is 30% of what number
DedPeter [7]
52=100%
x=30%
52/x=100%/30%
which equals to 15.6


Answer 15.6
5 0
3 years ago
What is the LCM of 2,8 and 10
leva [86]
Lcm= 2
Because
2/2= 1
2/8=4
2/10=5
5 0
3 years ago
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