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andrezito [222]
3 years ago
7

Kevin plans to put concrete on a rectangular portion of his driveway the portion is 10 feet long and 3 inches high the price of

concrete is 98$ per cubic yard the total cost of the concrete Kevin needs is 72.59$ which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete
Mathematics
1 answer:
Fudgin [204]3 years ago
5 0
First we need to know the total volume of concrete used:
V_total = \frac{cost_{total}}{cost{unit}}
V_total = \frac{\$72.98}{\frac{\$90}{yd^{3}}}
V_total = 0.7407yd^{3}

Now we can use the formula for volume of a rectangular prism:
V=lwh
Convert everythig to yards and substitute: 
0.7407yd^{3}=(3.33yd)(w)(0.08333yd)
w=\frac{0.7407}{3.33 \times 0.08333}
w \aprox 2.66yd
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Find an equation of the plane that contains (3, 4, −9) and is parallel to x + y − 5z = 1. (Use x, y, and z for coordinates.)
emmainna [20.7K]

Answer:

x + y - 5z = 52

Step-by-step explanation:

Given data:

Point on the plane (3,4,-9)

parallel to x + y -5z = 1

Finding the normal vector

(1 , 1 , -5)(x, y , z) = 1

the normal vector is (1 , 1 , -5)

<em>formula for finding equation the plane given the normal vector (a,b,c) and point (m,n,o) is as </em>

<em>a(x - m) + b(y - n) + c(z-o)=0</em>

Substituting the data we have

1(x-3) + 1( y- 4) - 5(z+9) =0

x-3 +y -4 -5z -45 = 0

x + y - 5z = 45 +4 +3

x + y - 5z = 52

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3 years ago
Tang created a number line for his class to use. A number line has points negative 4, A, B, blank, 0, blank, C, D, 4. Which poin
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Answer:

Answer: D

Step-by-step explanation:

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Camila has x quarters and y dimes. She has no less than 20 coins worth no more
san4es73 [151]
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Answer:

3 : 2

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The volume of the shape below is 6 square units. Determine the volume of the shape in two different ways.
REY [17]

The volume of the shape is 6 cubic units

<h3>How to determine the volume of the shape?</h3>

<u>Method 1</u>

From the figure, we can see that:

  • There are 6 cubes in the figure
  • The dimensions of the cubes are equal
  • The volume of each cube is 1 cubic unit

So, the volume of the shape is

Volume = Number of cubes * Volume of each cube

Substitute the known values in the above equation

Volume = 6 * 1

Evaluate

Volume = 6

<u>Method 2</u>

From the figure, we can see that:

  • There are 6 cubes in the figure
  • 2 cubes at the top and 4 at the bottom
  • The dimensions of the cubes are equal
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So, the volume of the shape is

Volume = Top cubes +  Bottom cubes

This gives

Volume = 2 * Volume of each cube + 4 * Volume of each cube

Substitute the known values in the above equation

Volume = 2 * 1 + 4 * 1

Evaluate

Volume = 6

Hence, the volume of the shape is 6 cubic units

Read more about volumes at:

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