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Elza [17]
3 years ago
12

A prism is filled with 70 cubes with a side length of 1 2 unit. What is the volume of the prism in cubic units? Enter answer as

a mixed number in its simplest form.
Mathematics
1 answer:
galina1969 [7]3 years ago
6 0

Answer:

The volume of the cube is;

8\dfrac{3}{4} \ cube \, units

Step-by-step explanation:

The parameters of the prism are;

The number of cubes used to fill the prism, n = 70 cubes

The side length of each cube, s = 1/2 unit

The volume of the cube, V = n × s³

∴ Therefore, the volume of the cube, V = 70 × (1/2)³ = 8\dfrac{3}{4} \ cube \, units = 8.75 cube unit

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Which of the following ordered pairs are a solution for the equation y = 6x − 3?
storchak [24]

Answer:

-1,9

Step-by-step explanation:

I got them wrong so it showed me the right answer

5 0
3 years ago
Write the equation of the line in slope-intercept that has passes through the points (2,-5) and (8, 13). ​
const2013 [10]

Answer:

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given points are   (2,-5) and (8, 13)

The Slope of the line

            m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{13-(-5)}{8-2} = \frac{18}{6} =3

Equation of the line having slope 'm' and given point

        y - y_{1} = m (x - x_{1} )

(x₁ , y₁)   =    ( 2, -5 )  

        y - (-5) = 3 (x - 2 )

       y + 5 = 3x - 6

The equation of the straight line in slope intercept form

    y = m x + c

       y = 3 x - 6-5

       y = 3 x - 11

<u><em>Final answer:</em></u>-

The equation of the straight line in Slope- intercept form

 y = 3 x - 11

     

8 0
3 years ago
Find the zeros of x3 +2X^2-23x-60
laila [671]
Hello,

P(x)=x^3+2x²-23x-60
P(-4)=(-4)^3+2*(-4)²-23*(-4)-60=0
P(-3)=(-3)^4+2*(-3)²-23*(-3)-60=0
P(5)=5^3+2*5²-23*5-60=0
Zeros are -4,-3,5


5 0
3 years ago
Use the graph to estimate the value of y when x = 2.5
Vera_Pavlovna [14]

Answer:

f

Step-by-step explanation:

3 0
3 years ago
A 12 foot ladder is leaning up against the side of a house the ladder makes an angle of 62° with the ground. How far up the side
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the house and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 62 = h/12

h = 12Sin62

h = 12 × 0.8829

h = 10.6 feet

4 0
3 years ago
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