Can i get some help... CAN I PLEASE GET SOME HELP

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

2 years ago

In the past you paid 800 per month to rent your apartment. You now pay 900 per month for your rent. What is the percent increase

Lena [83]

I think the answer to this question is 10% but I don’t know if it’s right

3 0

2 years ago

Halla la forma general de la recta que pasa por los puntos P( -10, -7) y Q(-6, -2)

Arada [10]

La Mamá de la mamá de la mamá de la mamá de la mamá

3 0

2 years ago

swati won a Computer game that she played with matt. The sum of the scores was 754. The difference of there scores was 176. How

klio [65]

<u>Answer:</u>

Swati - 465 , Matt - 289

<u>Explanation:</u>

Let Swati's score be x and Matt's score be y.

Since Swati won the game her score is obviously higher.

We are given the sum and difference between their scores which we can write as , x + y = 754 and x - y = 176.

Solving these two equations by adding them we get 2x = 930 so x = 465. Substituting x in x - y = 176 we get y = 289

Thus Swati scored 465 points and Matt scored 289 points.

5 0

2 years ago

A 100 mL vial of 25% solution is available in stock. An order is recieved for 6 g to be added to 250 mL of fluid for an iv infus

Ne4ueva [31]

9514 1404 393

Answer:

274 mL

Step-by-step explanation:

Often medical solutions expressed as a percentage are not really a percentage as such. A percentage is the ratio of two quantities with the same units.

Here, the context given by the problem suggests the "25%" solution is really (25 g)/(100 mL). That is, the units are grams and milliliters--different units.

With that assumption, we want to find the volume (v) of solution needed to deliver 6 g of medicine. An appropriate proportion* is ...

v/(6 g) = (100 mL)/(25 g)

v = (6 g)(100 mL)/(25 g) = 24 mL

So, the total volume of the infusion is ...

250 mL +24 mL = 274 mL

_____

* The concentration is given in terms of g/mL, but we have used a proportion that is mL/g. The reason for that is we want the variable to be in the numerator of the ratio. The variable here represents volume, so we have written the proportion with volumes in the numerators.

Having the variable in the numerator means the equation can be solved in one step--by multiplying by its denominator.

3 0

2 years ago