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marshall27 [118]
4 years ago
7

Teresa has a bird feeder in the shape of a triangular pyramid. The base of the pyramid has a length of 5 inches and a height of

6 inches. The height of the pyramid 9 inches. How much birdseed can the feeder hold?
Mathematics
2 answers:
Liula [17]4 years ago
7 0

Answer: 135 cubic inch

Step-by-step explanation:

First, multiply all the base of the pyramid length. So, start multiplying 5•6•9=270. Then, you divide 270 by 2 that will give you 135 cubic inch.

OleMash [197]4 years ago
4 0

Answer:

Step-by-step explanation:

area of base=1/2×5×6=15 in²

height of pyramid=9in

volume of pyramid=1/3×15×9=45 in³

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Pls solve this proportion<br><br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D" id="TexFormula1" title="\frac{5}{6}"
Nostrana [21]

Answer:

  c = 15/2

Step-by-step explanation:

Multiply both sides of the equation by 9, then reduce the fraction.

  9(5/6) = c

  15/2 = c

_____

<em>Alternate methods</em>

You are usually told to "cross-multiply" which means you multiply the expression by the product of the denominators. this would give you ...

  9(5) = 6(c)

Then you would divide by the coefficient of c to get ...

  (9·5)/6 = c = 15/2

__

Since c is multiplied by 1/9, you can solve this by multiplying by the inverse of that coefficient, 9. That is what is done in the first section above. Usually, this does in one step what the "cross-multiply" method does in 2 steps.

__

The "cross multiply" step can also be done by multiplying by the least common multiple of the denominators, 18. Then you have ...

  18(5/6) = 18(c/9)

  15 = 2c

Now, dividing by the coefficient of c gives ...

  15/2 = c

6 0
4 years ago
Solve 4/9x+7=1/2.<br><br> Solve 1/8x−12=3/4.
Elenna [48]
\# 1 \\\\ \frac{4}{9}x+7=\frac{1}{2} \\\\ \frac{4x}{9}=\frac{1}{2}-7^{(2} \\\\ \frac{4x}{9}=\frac{1-14}{2} \\\\ \frac{4x}{9}=-\frac{13}{2} \\\\ 4x=-\frac{9*13}{2} \\\\ x=-\frac{\frac{9*13}{2}}{4} \\\\ x=-\frac{117}{2}*\frac{1}{4} \\\\ \boxed{x=-\frac{117}{8}=-14\frac{5}{8}}

\#2 \\\\ \frac{1}{8}x-12=\frac{3}{4} \\\\ \frac{1}{8}x=\frac{3}{4}+12^{(4} \\\\ \frac{x}{8}=\frac{3+48}{4} \\\\ \frac{x}{8}=\frac{51}{4} \\\\ x=\frac{\not8*51}{\not4} \\\\ x=2*51 \\\\ \boxed{x=102}
4 0
3 years ago
Read 2 more answers
Which of the following sums would be under the radical symbol to find the distance between the points (7, -1) and (-8, -9)?
Alex

So the distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} . Using this, our equation is \sqrt{(7-(-8))^2+(-1-(-9))^2} and we can solve for it as such:

\sqrt{(7-(-8))^2+(-1-(-9))^2}\\ \sqrt{15^2+8^2}

As we see with this radical, the sum that's under it is 15^2 + 8^2, or the third option.

7 0
3 years ago
Which boxes have a volume of 120 cubic feet? (4 points)
sergiy2304 [10]

Answer:

A,D

Step-by-step explanation:

5x4x6=120

10x3x4=120

5 0
3 years ago
Read 2 more answers
8) What are the measures of angles x, y, and z?
Grace [21]
Angles x, y, and z are 5s.

Angle x is a vertical angle to 5s, angles x and y are alternate interior angles so y is also 5s. And z is an alternate exterior angle to angle y.

I can't really figure out the number value of 5s with the given information.
7 0
3 years ago
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