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Leto [7]
3 years ago
8

A circle with radius of 2cm sits inside a 11cm×12cm rectangle.

Mathematics
2 answers:
balandron [24]3 years ago
7 0

Answer:119.4

Step-by-step explanation:

i got it right on khan

andrew-mc [135]3 years ago
4 0
Area of rectangle = 132cm^2
Area of circle = 12.6cm^2
Shaded region = 132cm^2 - 12.6cm^2 = 119.4cm^2
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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7
Minchanka [31]

Answer: x=-1

Step-by-step explanation:

By the negative exponent rule, you have that:

(\frac{1}{a})^n=a^{-n}

By the exponents properties, you know that:

(m^n)^l=m^{(nl)}

Therefore, you can rewrite the left side of the equation has following:

(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}

 Descompose 32 and 8 into its prime factors:

32=2*2*2*2*2=2^5\\8=2*2*2=2^3

Rewrite:

(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}

Then:

(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}

As the base are equal, then:

-3(2x+7)=5(3x)

Solve for x:

-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1

8 0
3 years ago
PLEASE CAN SOMEONE ANSWER THIS <br><br> y=8.2x+459=
Sergeu [11.5K]
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5 0
3 years ago
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Select the correct answer. Simplify. 198 49√2 OB. 7√2 OC. 2√7 OD. 14√7​
Nitella [24]

Answer: The correct answer is B.

Step-by-step explanation: To simplify a square root, you take the factors of the value in the square root and see the greatest factor that is a square. In this case, 49 is the greatest square factor of 98. You take the square root of 49, which is 7. 7 goes outside the radicand. Leave 2 inside the radical because 49 x 2 = 98. Hence, the correct answer is B.

7 0
2 years ago
HELP PLEASE! I'm not sure what the right answer is.
jasenka [17]
I'm really not sure.
Sorry.
3 0
2 years ago
The gasoline prices in seven stayed are $1.96,$2.09,$1.79,$1.61,$1.75,$2.11 and $1.84 what is the median gasoline price
Digiron [165]

The median is the one in the middle. Sorting the data gives

$1.61, $1.75, $1.79, $1.84, $1.96, $2.09, $2.11

Seven data points and the fourth one is 1.84.

Answer: $1.84


3 0
3 years ago
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