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Zielflug [23.3K]
2 years ago
9

PLEASE HELP!!!!!!!! ASAP

Mathematics
2 answers:
Varvara68 [4.7K]2 years ago
8 0
Question 1: The areas are equal
Question 2: The area of the circle would be 28.26 cm 2
inessss [21]2 years ago
3 0

Answer: #1) 3. The semicircle has twice the area of the circle

#2) 3. 28.26 cm

Step-by-step explanation:

#1) The formula for area of circle is A=πr².

First, plugging in the radius for the circle, A=π(5)², we get an area of about 78.54 inches².

Plugging in the radius for the semicircle, A=π(10)², which is equal to 314.159.... However, since it is a SEMI-circle, we will divide this value by 2 to give us an area of about 157.08 inches².

Comparing the two areas, we see the semicircle has twice the area of the circle as 78.54 x 2 = 157.08.

#2) Again use the area of circle formula, A=πr². The radius is half the diameter, so half of 6cm=3cm, meaning r=3. plug it in.

A= π(3)²

A= 28.27 cm²

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Simplify using only POSITIVE exponents:
pickupchik [31]

So here are a few rules with exponents that you should know:

  1. Multiplying exponents of the same base: x^m*x^n=x^{m+n}
  2. Dividing exponents of the same base: x^m\div x^n=x^{m-n}
  3. Powering a power to a power: (x^m)^n=x^{m*n}
  4. Converting a negative exponent to a positive one: x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m
<h2>1.</h2>

Firstly, solve the outside exponent:

(2x^3y^7)^{-2}=2^{-2}x^{3*-2}y^{7*-2}=2^{-2}x^{-6}y^{-14}

Next, convert the negative exponents into positive ones:

2^{-2}x^{-6}y^{-14}=\frac{1}{2^2x^6y^{14}}=\frac{1}{4x^6y^{14}}

<u>Your final answer is \frac{1}{4x^6y^{14}}</u>

<h2>2.</h2>

For this, just divide:

\frac{12x^5y^3}{4x^{-1}}=\frac{12}{4}x^{5-(-1)}y^{3-0}=3x^6y^3

<u>Your final answer is 3x^6y^3</u>

<h2>3.</h2>

For this, convert all negative exponents into positive ones:

\frac{r^{-7}b^{-8}}{t^{-4}w}=\frac{t^4}{r^7b^8w}

<u>Your final answer is \frac{t^4}{r^7b^8w}</u>

3 0
3 years ago
A circular pizza with a diameter of 8 inches. The pizza is in a square box with side lengths of 8 inches. In square inches, how
Mumz [18]

Step-by-step explanation:

13.70 square inches of the box is empty

8 0
3 years ago
Is this a function?<br> PLEASE ANSWER!
Genrish500 [490]

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Step-by-step explanation:

6 0
3 years ago
If 3 + root8 by 3-root8 + 3-root8 by 3+root8 = a+broot2 find a and b
s2008m [1.1K]

If \frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}, the value of a and b is given as a = 34 and b = 0

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables or numbers.

\frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }\\ \\\frac{9+6\sqrt{8}+8+9-6\sqrt{8}+8  }{(3-\sqrt{8} )(3+\sqrt{8} )} \\\\\frac{34}{9-8} =34+0\sqrt{2}

If \frac{3+\sqrt{8} }{3-\sqrt{8} } +\frac{3-\sqrt{8} }{3+\sqrt{8} }=a+b\sqrt{2}, the value of a and b is given as a = 34 and b = 0

Find out more on equation at: brainly.com/question/2972832

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8 0
2 years ago
Dude is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25
pshichka [43]

Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

<u>Step-by-step explanation:</u>

Step 1:

Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

Step 2:

Form an equation using the above information.

⇒ 9x + 5.25 (12-x) = 12 × 7.75

⇒ 9x + 63 - 5.25x = 93

⇒ 9x - 5.25x = 30

⇒ 3.75x = 30

⇒ x = 8

Number of macadamia nuts is 8 pounds.

Step 3:

Calculate number pounds of almonds

⇒ Number of pounds of almonds = 12 - x = 4 pounds.

5 0
2 years ago
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