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3 years ago

Find the volume of a pyramid with a square base, where the side length of the

Mathematics

1 answer:

xeze [42]3 years ago

4 0

Answer: V= 330.513 cm 3

Step-by-step explanation:

Area = l x w and with a square the length and width are the same, additionally the volume of a pyramid can be found by using the formula (L)(w)(h)/3 so

8.7 x 8.7 = 75.69cm^2

75.69 x 13.1 = 991.539

991.539 ÷ 3 = 330.513 cm^3

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A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China. Find the length and width of a si

dusya [7]

The length and width of the similar rectangular screen are 110 meters and 35 meters respectively.

SOLUTION:

Given, A huge suspended LED screen is the centerpiece of The Place, a popular mall in Beijing, China.

We have to find the length and width of a similar rectangular screen

We are also given that the length is 5 meters more than 3 times its width,

Let width of rectangle be "b" meters, the its length will be 5 + 3b meters

And, the viewable area is 3,850 square meters.

$\begin{array}{l}{\text { So, area }=3850} \\\\ {\text { Length } \times \text { width }=3850} \\\\ {(5+3 b) \times b=3850} \\\\ {5 b+3 b^{2}=3850} \\\\ {3 b^{2}+5 b-3850=0}\end{array}$

Now,let us use quadratic formula:

$\begin{array}{l}{\mathrm{x}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}} \\\\ {\text { Then, } \mathrm{b}=\frac{-5 \pm \sqrt{5^{2}-4 \times 3 \times(-3850)}}{2 \times 3}}\end{array}$

$\begin{array}{l}{\mathrm{b}=\frac{-5 \pm \sqrt{25+46200}}{6}} \\\\ {\mathrm{b}=\frac{-5 \pm \sqrt{46225}}{6}} \\\\ {\mathrm{b}=\frac{-5 \pm 215}{6}} \\\\ {\mathrm{b}=\frac{-5+215}{6} \text { or } \frac{-5-215}{6}} \\\\ {\mathrm{b}=\frac{210}{6} \mathrm{or} \frac{-220}{6}}\end{array}$

Neglect negative values as width can’t be negative

$b=\frac{210}{6}=35$

so, width = 35 meters, then length = 5 + 3(35) = 5 + 105 = 110 meters

hence, the length and width of the similar rectangular screen are 110 meters and 35 meters respectively.

3 0

3 years ago

Solve the system of equations. −2x+15y=−24 2x+9y=24 x= y=

german

The answer i think is
x is 12 y is 0

5 0

3 years ago

What is the greatest common factor of 12 and 48

pickupchik [31]

The GCF of 12 and 48 is 12

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3 years ago

Read 2 more answers

X+3y=37 Can someone help please

Anvisha [2.4K]

Answer:

there are two ways we can solve this problem the first way is in x-form and the second way is in y-form I will give you the answer for each of the ways.

Step-by-step explanation:

x-form: x=37-3y

y-form: y=37/3 - x/3

hope this helps if this was not the way you wanted me to solve it please let me know and I will do it the way you want me to do it.

7 0

3 years ago

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PLZ HURRY IT'S URGENT!!

Amanda [17]

Answer:

3,14 because they are the only numbers that are the same in both sets. just compare it to a matching game, what are the same and what are not? if they are different then that is not apart of your answer.

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3 years ago