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3 years ago

Find the volume of the pyramid. Write your answer as a fraction or mixed number.

Mathematics

1 answer:

Dahasolnce [82]3 years ago

4 0

Check the picture below.

let's notice that the base of the pyramid is triangle with a base of 5 and an altitude of 4, so it has an area of (1/2)(5)(4).

$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=\stackrel{\textit{area of its}}{base}\\ h=height\\[-0.5em] \hrulefill\\ B=\frac{1}{2}(5)(4)\\ h=8 \end{cases}\implies V=\cfrac{1}{3}\left( \cfrac{1}{2}(5)(4) \right)(8)\implies V=\cfrac{1}{3}(10)(8) \\\\\\ V=\cfrac{80}{3}\implies V=26\frac{2}{3}$

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Mrs Hong had some milk. She used of it to bake some waffles and

Sergio [31]

Answer:

Mrs. Hong originally had 900 ml of milk

Explanation:

The complete question is in the attached image

Assume that the amount of milk Mrs. Hong originally had was x ml

We are given that:

1- She used $\frac{1}{6}$ of it to bake the waffles, therefore:

Amount used in baking waffles = $\frac{1}{6}x$ ml

2- She used 300 ml to bake a pie

3- Amount left is half the original amount, therefore:

Amount left = $\frac{1}{2}x$ ml

We know that:

Total amount = amount used in waffles + amount used in pie + amount left

Substitute with the givens and solve for x:

Total amount = amount used in waffles + amount used in pie + amount left

$x = \frac{1}{6}x + 300 + \frac{1}{2}x\\ \\x-\frac{1}{6}x-\frac{1}{2}x = 300\\ \\\frac{1}{3}x = 300\\ \\x = 300*3 = 900 ml$

This means that:

She originally had 900 ml of milk

Hope this helps :)

7 0

2 years ago

AYUDDAAA, ES EXAMEEEEN

madam [21]

Answer:

it's corect

Step-by-step explanation:

just change the subject it is not mathematics

4 0

2 years ago

Read 2 more answers

All the given quadrilaterals in the picture on the right are squares and #1 ≅ #3, #2 ≅ # 4. find the area of the shaded region,

Anika [276]

Answer:

Step-by-step explanation:

If you have a square of side $l$ , its diagonal would be $l\sqrt{2}$ , and its area $l^2$

If the big square has a area of 900, this implies that its side is $\sqrt{900}$ , so the two diagonal of squares 2 and 4 added together would be $\sqrt{900}$ , therefore one diagonal wold be $\frac{\sqrt{900}}{2}$ . and its side $\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}}$ . The area (of one square) is $(\frac{\sqrt{900}}{2}\frac{1}{\sqrt{2}})^2=\frac{225}{2}$