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# ​ pls help me

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this question is diffficult pls help me

this one is especially complicated

Mar 3, 2018

#1
+2345
+1

#1)

Using the similarity statement, we can find $$YR$$ by generating a proportion.

 $$\frac{DZ}{LZ}=\frac{MR}{YR}$$ There are a few options here. This proportion is the one I chose to set up for this particular problem. Substitute in the known side lengths and solve for the missing one. $$\frac{18}{21}=\frac{28.8}{YR}$$ It is generally wise to simplify any fractions completely before one cross multiplies. Taking this precaution beforehand can ensure that the computation does not get out of hand. $$\frac{6}{7}=\frac{28.8}{YR}$$ Now we can cross multiply. $$6YR=201.6$$ $$YR=33.6\text{in}$$ Do not forget the units! $$YR=34\text{in}$$ The question asks that the answer is rounded to the nearest whole inch, so I complied.

#2)

This question becomes simple once you know the formula for the volume of a pyramid: $$V_{\text{pyramid}}=\frac{1}{3} lwh$$

 $$V_{\text{pyramid}}=\frac{1}{3}lw h$$ Of course, we must look at the given information; the figure is a square pyramid, so the side length of the bases is equivalent. $$V_{\text{pyramid}}=\frac{1}{3}*183*183*110$$ 183 is divisible by 3, so we can reduce that portion now. $$V_{\text{pyramid}}=61*183*110$$ $$V_{\text{pyramid}}=1227930\text{m}^3$$

#3)

The fill-in-the-blank questions are really just testing one's knowledge of the individual formulas.

$$V_{\text{cylinder}}=\hspace{3mm}\pi r^2 h\\ V_{\text{cone}}\hspace{5mm}=\frac{1}{3} \pi r^2 h$$

When you place the formulas side by side, basic observation shows that a cone's formula is 1/3 of the volume of a cylinder with the same base and height. Of course, I already revealed what the formula is, so the volume of a cylinder is $$\pi r^2 h$$ , and the formula for a cone is $$\frac{1}{3} \pi r^2 h$$

.
Mar 3, 2018

#1
+2345
+1

#1)

Using the similarity statement, we can find $$YR$$ by generating a proportion.

 $$\frac{DZ}{LZ}=\frac{MR}{YR}$$ There are a few options here. This proportion is the one I chose to set up for this particular problem. Substitute in the known side lengths and solve for the missing one. $$\frac{18}{21}=\frac{28.8}{YR}$$ It is generally wise to simplify any fractions completely before one cross multiplies. Taking this precaution beforehand can ensure that the computation does not get out of hand. $$\frac{6}{7}=\frac{28.8}{YR}$$ Now we can cross multiply. $$6YR=201.6$$ $$YR=33.6\text{in}$$ Do not forget the units! $$YR=34\text{in}$$ The question asks that the answer is rounded to the nearest whole inch, so I complied.

#2)

This question becomes simple once you know the formula for the volume of a pyramid: $$V_{\text{pyramid}}=\frac{1}{3} lwh$$

 $$V_{\text{pyramid}}=\frac{1}{3}lw h$$ Of course, we must look at the given information; the figure is a square pyramid, so the side length of the bases is equivalent. $$V_{\text{pyramid}}=\frac{1}{3}*183*183*110$$ 183 is divisible by 3, so we can reduce that portion now. $$V_{\text{pyramid}}=61*183*110$$ $$V_{\text{pyramid}}=1227930\text{m}^3$$

#3)

The fill-in-the-blank questions are really just testing one's knowledge of the individual formulas.

$$V_{\text{cylinder}}=\hspace{3mm}\pi r^2 h\\ V_{\text{cone}}\hspace{5mm}=\frac{1}{3} \pi r^2 h$$

When you place the formulas side by side, basic observation shows that a cone's formula is 1/3 of the volume of a cylinder with the same base and height. Of course, I already revealed what the formula is, so the volume of a cylinder is $$\pi r^2 h$$ , and the formula for a cone is $$\frac{1}{3} \pi r^2 h$$

TheXSquaredFactor Mar 3, 2018
#2
+638
0

thx this is really helpful to my study

cerenetie  Mar 4, 2018