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tatyana61 [14]
2 years ago
13

Find the circumference of the circles below. Round your answer to the nearest whole number. Use 3.14 for Pi.

Mathematics
1 answer:
Lisa [10]2 years ago
8 0

Answer:

\huge\boxed{1.\ C\approx38cm;\ 2.\ C\approx57ft;\ 3.\ C\approx50in.}

Step-by-step explanation:

The formula of a circumference of a circle:

C=2\pi r\\\\r-\text{radius}

1.\\r=6cm\\\\C=2\pi\cdot6=12\pi\\\\\pi\approx3.14\\\\C\approx12\cdot3.14=37.68\approx38(cm)\\\\2.\\r=9ft\\\\C=2\pi\cdot9=18\pi\\\\\pi\approx3.14\\\\C\approx18\cdot3.14=56.52\approx57(ft)\\\\3.\\2r=16in.\to r=8in.\\\\C=2\pi\cdot8=16\pi\\\\\pi\approx3.14\\\\C\approx16\cdot3.14=50.24\approx50(in.)

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On a coordinate plane, triangles R S T and L M N are shown. Triangle R S T has points (5, 5), (2, 1), and (1, 3). Triangle L M N
ivolga24 [154]

Answer:

LMN has a larger area

Step-by-step explanation:

Given

RST

R =(5,5)

S= (2,1)

T = (1,3)

LMN

L = (0,-1)

M= (2,-4)

N= (-2,-3)

Required

Compare both areas

The area of triangle is:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

For RST, we have:

Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|

Area = \frac{1}{2}|-10|

Remove absolute signs

Area = \frac{1}{2}*10

Area = 10

For LMN, we have:

Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|

Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|

Area = \frac{1}{2}|-14|

Remove absolute signs

Area = \frac{1}{2}*14

Area = 7

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

3 0
3 years ago
Tell whether the ordered pair is a solution of the equation<br> y=5x; (15,-3)
n200080 [17]

Answer:

This ordered pair is NOT a solution of the equation.

Step-by-step explanation:

First, it is important to note that ordered pairs consist of (x, y) so in this case

x = 15 and y = -3.  And that any variable directly next to a number calls for multiplication.  So, plugging in the variables the equation would look like

"-3 = 5 x 15"  

To see if 5 x 15 = -3 we will multiply them.  5 x 15 actually equals 75 not -3.  So we know this ordered pair is NOT the solution for the problem.  

3 0
2 years ago
Is 3/4 greater or less than 1/4
Ivahew [28]
3/4 is greater than 1/4! Imagine a cake with four slices in it, would you rather eat one slice out of four or three slices out of four? Three slices out of four is more than just one slice, and the more the cake the better~ Hope this helps! c:
3 0
3 years ago
Read 2 more answers
Jack made 50% more smoothies than yesterday. If he made 30 smoothie today how many did he make yesterday?
Anastasy [175]

Answer:

15 Smoothies were made yesterday

Step-by-step explanation:

30 * 50% = 15

3 0
3 years ago
Read 2 more answers
Please help me I need hlp
MatroZZZ [7]
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5 0
3 years ago
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