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Svetradugi [14.3K]
3 years ago
14

A cereal box is a rectangular prism that is 8 inches long and 2 1/2 inches wide. The volume of the box is 200in3. What is the he

ight?

Mathematics
1 answer:
Zarrin [17]3 years ago
7 0

Answer:

Height=10\, inches

Step-by-step explanation:

Volume of a Rectangular Prism is :

             Length\times Width \times Height

For,

Volume=200\,inch^3\\\\Length= 8\,inches\\\\Width=2\dfrac{1}{2}=\dfrac{5}{2}\\\\  Height=?\\

200=8\times \dfrac{5}{2}\times Height\\\\ 200=4\times 5\times Height\\\\200=20\times Height\\\\Height=\dfrac{200}{20}\\\\ Height=10\,inches

The Height of the rectangular prism is: 10\,inches

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Write the slope intercept form of the equation of the line.Help
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Answer:

Our final equation is \bold{y = \frac{1}{4}x + 3}.

Step-by-step explanation:

We are given a coordinate point and the slope of a line. We need to know that:

  • The slope-intercept form of a line is \text{y = mx + b}, where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept of the line.
  • The point-slope formula is y - y₁ = m(x - x₁).

We want to end up at the slope-intercept form of the equation. Therefore, we can use the point-slope formula and substitute our values and solve the equation.

y - 2 = \frac{1}{4}(x - (-4))\\\\y - 2 = \frac{1}{4}x + 1\\\\\small\boxed{\bold{y = \frac{1}{4}x + 3}}

Therefore, we have determined that our equation in slope-intercept form is \bold{y = \frac{1}{4}x + 3}.

8 0
3 years ago
Read 2 more answers
the length of the base of an isosceles triangle is x. The length of a leg is 4x-5. The terminator of the triangle is 35. find x.
vodomira [7]

Answer:

x= 5

Step-by-step explanation:

We are given;

  • Base of the triangle as x
  • Length of the leg is 4x-5
  • An isosceles triangle has two equal legs and a base.
  • The perimeter of the triangle is 35 (spelling mistake in the question)

To get the perimeter of a triangle we add the lengths of all sides of the triangle.

Therefore;

x + 4x-5 + 4x-5  = 35

9x - 10 = 35

9x = 45

  x = 5

Thus, the value of x is 5

7 0
4 years ago
How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%20%28x%2B3%29x%5E%7B%5Cfrac%7B5%7D%7B2%7D%20%7D%20-2
jarptica [38.1K]

The given simplification is not correct. This one is:

\displaystyle \frac25 (x + 3) x^{5/2} - 2 (x+3) x^{3/2} = \frac25 (x+3) x^{3/2} \bigg(x^{2/2} - 5\bigg) = \frac25 (x+3) x^{3/2} (x - 5)

which is just a matter of recognizing 2(x+3)x^{3/2} as a common factor to both expressions in the sum.

6 0
2 years ago
Find the distance between the points
Talja [164]

Answer:

5.4

Step-by-step explanation:

x distance = 5 and y distance is 2 so you can use pythagorean theorem which is \sqrt{a^{2} +b^{2} } and you get 5.4

8 0
3 years ago
Let S = {(1,0,0),(2,1,0),(3,1,1)} in R3
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The answer is c

I took the test
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