A Laptop is on sale for 20% off the regular price. The price was originally $879.00. What is the sale price?

gregori [183]

$2|2x-2| +4=20\\
4|x-1|=16\\
|x-1|=4\\
x-1=4 \vee x-1=-4\\
x=5 \vee x=-3$

6 0

3 years ago

All the edges of a regular square pyramid have length 8. find the Volume of the pyramid, Lateral area of the pyramid and the Tot

RUDIKE [14]

Answer:

V = 120.6796

LA = 110.8513

SA = 174.8513

Step-by-step explanation:

Let me know if you need more of an explanation for any of these

First we need the height, one way to find that out is to use the diagonal of the and one of the diagonal edges of the pyramid. Specifically we will need half of the diagonal of the square. We will call the diagonal of the square d.

$8^2+8^2=d^2\\d=\sqrt{64+64} \\d=\sqrt{128}$

Gonna leave it like that for ease of writing. So then half of the diagonal is $\frac{\sqrt{128}}{2}$

The height, h, will be $(\frac{d}{2})^2+h^2 = 8^2$ . Plugging everything in gets us $h=\sqrt{32}$

last, we need to find slant height, which we will call s.

$(\frac{8}{2})^2+h^2 = s^2\\s=\sqrt{48}$

s is also the height of the triangles for purposes of finding area. Now for the volume and areas.

Volume is area of the base times height divided by 3, so $V=8^2\frac{\sqrt{32} }{3} = \frac{64\sqrt{48} }{3} = 120.6796$

Lateral area is the sum of the four areas of the triangles, and each of those are $\frac{8*h}{2}$ so the whole lateral area is 4 times that. So we get $4\frac{8\sqrt{32} }{2} =110.8513$

Total surface area is the lateral surface area + the area of the base, so 110.8513 + 64 = 174.8513

6 0

3 years ago

Calculate the volume and total surface area

nikdorinn [45]

Answer:

Below.

Step-by-step explanation:

a. Volume = area of triangular side * length

1/2 * 3 * 4 * 8

= 48 cm^3.

Surface area = 2 * area of the triangle + area of sloping side+ area of the base + area of the back side

= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8

= 12 + 40 + 24 + 32

= 108 cm^2.

b. Volume = area of the triangular side * length

= 1/2 * 5.0 * 5..0 * 8.2

= 12.5 * 8.2

= 102.5. cm^3.

Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee

= 2 * 1/2 * 5^2 + 2 * 5 * 8.2 + 8.2 * 7.1

= 25 + 82 + 58.22

= 165.22 cm^2.

6 0

3 years ago

The height of a man is 1.7 meters. what is his height in centimeters.

yan [13]

The answer is 170 centimeters.

The prefix centi means 100. If you want to convert meters to centimeters, simply multiply by 100! For converting centimeters into meters, just divide by 100. Good luck, hope this helps!

4 0

2 years ago

Read 2 more answers

Find the area of the polygon.

nignag [31]

Answer:

35 sq units

Step-by-step explanation:

4 0

3 years ago