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3 years ago

Can anyone plzzzz helpn Thank you

Mathematics

1 answer:

Rina8888 [55]3 years ago

5 0

Answer:

200 square feet

Step-by-step explanation:

The formula for the lateral surface area of a square pyramid is $a\sqrt{a^2+4h^2}$ , where a is the side length and h is the height of the pyramid. The first step is therefore to find the height of the pyramid. Using the pythagorean theorem, you can find that it is $\sqrt{10^2-5^2}=5\sqrt{3}$ . Plugging in our known values into the equation, you get $10\sqrt{10^2+4(5\sqrt{3})^2}=10\sqrt{100+300}=10\cdot 20=200$ . Hope this helps!

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Divide. a.1 − 2i/2i b. 5 − 2i/5 + 2i c.√3 − 2i/−2 − √3i

Umnica [9.8K]

Answer:

(a) \frac{-1i}{2}-1[/tex]

(b) $\frac{20i+21}{29}$

Step-by-step explanation:

We have to perform division

(a) $\frac{1-2i}{2i}$

So after division

$\frac{1-2i}{2i}=\frac{1}{2i}-\frac{2i}{2i}=\frac{-1i}{2}-1$

(b) We have given expression $\frac{5-2i}{5+2i}$

After rationalizing $\frac{5-2i}{5+2i}\times \frac{5-2i}{5-2i}=\frac{(5-2i)^2}{25+4}=\frac{25+4i^2+20i}{29}=\frac{20i+21}{29}$

After rationalizing

$\frac{\sqrt{3}-2i}{-2-\sqrt{3i}}\times \frac{-2+\sqrt{3i}}{-2+\sqrt{3i}}=\frac{-2\sqrt{3}+7i+2\sqrt{3}}{7}=\frac{7i}{7}=i$

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3 years ago

For example, if it takes 15 hours to travel 900 miles. How many miles will you travel in one hour?

dalvyx [7]

Answer:

60 miles

Step-by-step explanation:

If it takes 15 hours to travel 900 miles then it gives you the fraction 15/900 where the numerator(top number) is 15 and denominator(bottom number) is 900.

Then to simplify it: since 15 is a common factor of itself(15) and 900, 15/15 = 1(1 hour) and 900/15 = 60(60 miles).

8 0

3 years ago

Read 2 more answers

Last summer, Karl went to the beach every 5 days. Antonia went to the beach every 33 days. How often did they see each other at

vfiekz [6]

Asuming they started summer at the same time. The logical answer will be none, because it will take at least 165 days for the lcd(5) to overlap and there is not 165 days in a summer.

so it will be a rate of 1 for every 5 times Antonia went to the beach.

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3 years ago

Read 2 more answers

Use a linear approximation (or differentials) to estimate the given number: √99.8

levacccp [35]

99.2 = 100 + 1/2 (99.2 - 100) / 100 = 10 - 1/2 0.8/10 = 10 - 0.04 = 9.96

6 0

3 years ago

11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7

posledela

Answer:

7 x = -35

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

- 7 x = negative 35

- 7 x = 35

7 x = negative 35

7 x = 35

In this problem we need to add the equations below i.e.

11x-3y = -17 and -4x+3y=-18

Adding both equations,

11x-3y+(-4x)+3y = -17+(-18)

7x= -35

7 x = negative 35

Hence, the correct option is (c).

5 0

2 years ago