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2 years ago

How do you find the surface area of a pyramid

Mathematics

1 answer:

alukav5142 [94]2 years ago

8 0

Answer:

We can find the surface area of any pyramid by adding up the areas of its lateral faces and its base.

Surface area of any pyramid = area of base + area of each of the lateral faces

Example:A=lw+l(w2)2+h2+w(l2)2+h2=3·2+3·(2

2)2+82+2·(3

2)2+82≈46.46559

Step-by-step explanation:

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Find volume with full working out pls asap

aev [14]

<h3>Answer: approximately 2076.56001909938 cubic cm</h3>

====================================================

Work Shown:

V1 = volume of cylinder

V2 = volume of cone on top

V3 = V1+V2 = volume of entire 3D solid figure

-----------

V1 = volume of cylinder

V1 = pi*r^2*h

V1 = pi*8.75^2*5.8

V1 = 1395.06348773471 which is approximate

----------

V2 = volume of cone

V2 = (1/3)*pi*r^2*h

V2 = (1/3)*pi*8.75^2*8.5

V2 = 681.49653136466 which is approximate

----------

V3 = V1+V2

V3 = 1395.06348773471+681.49653136466

V3 = 2076.56001909938

Answer is approximate

The units for the volume are in cubic cm.

5 0

3 years ago

Simplify: cos2x-cos4 all over sin2x + sin 4x

GrogVix [38]

Answer:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

Step-by-step explanation:

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}$

Apply formula:

$\cos\left(A\right)-\cos\left(B\right)=-2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$ and

$\sin\left(A\right)+\sin\left(B\right)=2\cdot\sin\left(\frac{A+B}{2}\right)\cdot\sin\left(\frac{A-B}{2}\right)$

We get:

$=\frac{-2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\sin\left(\frac{2x-4x}{2}\right)}{2\cdot\sin\left(\frac{2x+4x}{2}\right)\cdot\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{2x-4x}{2}\right)}{\cos\left(\frac{2x-4x}{2}\right)}$

$=\frac{-\sin\left(\frac{-2x}{2}\right)}{\cos\left(\frac{-2x}{2}\right)}$

$=\frac{-\sin\left(-x\right)}{\cos\left(-x\right)}$

$=\frac{-\cdot-\sin\left(x\right)}{\cos\left(x\right)}$

$=\frac{\sin\left(x\right)}{\cos\left(x\right)}$

$=\tan\left(x\right)$

Hence final answer is

$\frac{\cos\left(2x\right)-\cos\left(4x\right)}{\sin\left(2x\right)+\sin\left(4x\right)}=\tan\left(x\right)$

6 0

2 years ago

Alicia’s family wants to save for a four-year college education for her. After some research, they estimate that the total cost

erma4kov [3.2K]

Answer:

Step-by-step explanation:

$1,100

6 0

3 years ago

Punch recipe Ginger Ale 40% Orange Juice 25% Pineapple juice 20% Sorbet 15% Question 1: If you have 3 cups of pineapple juice, h

andrew11 [14]

Answer:

Question 1: 15 cups

20% (pineapple juice) = 3 cups, 100/20=5, 5*3 = 15 cups

Question 2: 20 cups

25% (orange juice) + 5% = 30%

30% (orange juice) = 6 cups, 30/6=5%, 100/5=20

I can't explain the whole thing very clearly, but hope it helped

8 0

3 years ago

Read 2 more answers

How to convert a repeating decimal to a fraction

egoroff_w [7]

Always place it out of 9. For example, 0.333= 3/9, or if simplified, 1/3.

0.5555? this will be 5/9.

for the other way around, make it a repeating decimal, such as 4/9, make that 0.444

If it is 33/99, or even 333/999, the rule should be the same.

8 0

3 years ago