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zavuch27 [327]
2 years ago
15

Add the rational expressions

Mathematics
1 answer:
Over [174]2 years ago
8 0
I hope my steps were clear. this involves the difference of squares and factoring

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Find the total area the regular pyramid.
Ber [7]

Answer: 14\sqrt{3}

Step-by-step explanation:

1. You must apply the following formula for calculate  the total surface area the regular pyramid:

SA=\frac{pl}{2}+B

Where p is the perimeter of the base, l is the slant height and B is the area of the base.

2. The perimeter is, where s is the side length:

p=3s=3*4=12

3. The faces are isosceles traingles. So, to find the slant height you can divide one base into two equal right triangles and calculate the slant height with Pythagorean Theorem:

l=\sqrt{4^2-2^2}=2\sqrt{3}

4. The base is equal to any face, then both have equal areas. As previously you divide one base into two equal righ triangle to find the slant height, you can calcualte the area of one right triangle and multply it by 2 to calculate B:

B=2*\frac{bh}{2}=2*\frac{2\sqrt{3}}{2}=2\sqrt{3}

Finally substitute values:

SA=\frac{12*2\sqrt{3}}{2}+2\sqrt{3}=14\sqrt{3}

6 0
2 years ago
Read 2 more answers
Round 0.02851 to the nearest thousandth.851
Lyrx [107]

Answer:

.009

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What are the solutions to x2 – 10x = 39?
oee [108]

Answer: x=−3 or x=13

Step-by-step explanation:

Step 1: Subtract 39 from both sides.

x2−10x−39=39−39

x2−10x−39=0

Step 2: Factor left side of equation.

(x+3)(x−13)=0

Step 3: Set factors equal to 0.

x+3=0 or x−13=0

x=−3 or x=13

7 0
2 years ago
In 2017 the population of Rexburg, Idaho was 28,337 people. The population was expected to grow at a rate of about 1.26% per yea
frez [133]

Answer:

30,122

Step-by-step explanation:

This probably isn't the fastest way to solve but....

28,337x1.26%= 357

357x5=1785

28,337+1785=30,122

The 5 came from the # of years the population is increasing

6 0
2 years ago
What number is not part of the domain of the function: g(x)=x+2/x-1 ? how can you tell?
Charra [1.4K]

Answer:

x = 1 is not part of the domain

Step-by-step explanation:

The denominator of g(x) cannot be zero as this would make g(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve

x - 1 = 0 ⇒ x = 1 ← restricted value

3 0
3 years ago
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