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Leokris [45]
2 years ago
11

Pyramid A is a square pyramid with a base side length of 7 inches and a height of 6 inches. Pyramid B has a volume of 3,136 in3.

How many times bigger is the volume of pyramid B than pyramid A? (5 points)
a. 15
b. 32
c. 54
d .75
Mathematics
1 answer:
julia-pushkina [17]2 years ago
8 0
The answer is B.
V=(7) (7) (6) / 3
V=98 in 3
3136/98=32
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Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}

That is the answer to this problem.

I hope this helps.

3 0
3 years ago
One serving of oatmeal has 8 grams of fiber, which is 33% of the recommended daily amount. What is the total recommended daily a
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Step-by-step explanation:

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5 0
3 years ago
What is 7 1/2 - 3 4/41
Radda [10]
The LCD of 2 and 41 is 82  so we write 1/2 as 41/82:-

7  41/82 - 3 8/82

= 4  33/82  Answer
7 0
3 years ago
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If x = -2, then x2-7x+10 equals<br> 00<br> O 20<br> 028
sleet_krkn [62]
20, you just need to substitute the x value in the equation
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Answer:

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