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Yakvenalex [24]
3 years ago
15

Andrea is painting a ceramic plate with a diameter of 12 inches. She wants to paint a thin blue line around the edge of the plat

e. How long will the line be?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
6 0

Answer:

37.7 inches

Step-by-step explanation:

She wants to paint the line along the circumference of the plate.

The plate is circular; the circumference of a circle is given as:

C = πD

where D = diameter

The diameter of the plate is 12 inches, therefore:

C = π * 12 = 37.7 inches

The line will be 37.7 inches long.

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What is the solution to the system below? <br> 3x + y = 11<br> y = x + 3
alexgriva [62]

Answer:

x = 2

y = 5

Step-by-step explanation:

3x + y = 11 equation (1)

-x + y = 3 multiply this equation by -1

x - y = -3 equation (2)

by adding 2 equations

4x = 8

x = 2

by sub. in Equation (2)

2 - y = -3

y = 2+3

y = 5

5 0
3 years ago
8 less than the product of 5 and -4
Karolina [17]
The answer would be:
5(-4) - 8
-20 - 8
-28
4 0
3 years ago
I NEED HELP PLEASE, THANKS! :)
Alenkasestr [34]

Answer:

Option A

Step-by-step explanation:

This is a great question!

The first thing we want to do here is to graph the system of " inequalities " -

\begin{bmatrix}2x+9y\le \:100\\ 9x+y\le \:54\end{bmatrix}

As x is ≥ 0, respectively y ≥ 0, it makes things a lot simpler, as it kind of restricts us to quadrant 1, but not entirely.

First change each inequality to " slope - intercept " form, as such -

2x + 10y \leq 100,\\10y \leq 100 - 2x,\\y \leq - 1 / 5x + 10\\----------\\9x + y \leq 54,\\y \leq - 9x + 54

The graphed solutions would be in the attachment. I have colored the region with which the two intersect, and the fact that we are limited to quadrant 1. In this colored region there are 3 major points, ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ). We have to determine which of these are are maximum points, as the minimum are the same. Substitute these values ( ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ) ) into the equation f( x, y ) = 10x + 4y,

f ( x, y ) = 10( 5 ) + 4( 9 ),\\f ( x, y ) = 86 -\\f ( x, y ) = 10( 0 ) + 4( 10 ),\\f ( x, y ) = 40 -\\f ( x, y ) = 10( 6 ) + 4( 0 ),\\f ( x, y ) = 60

( 5, 9 ) resulted in the greatest amount, 86. That would make it our maximum point -

<u><em>Solution = Option A</em></u>

3 0
3 years ago
50 points and BRAINLIEST!
Harman [31]

Answer:

Step-by-step explanation:

The general equation of a circle is , x² + y² + 2gx + 2fy + c = 0

Substituting the three points we get the following equations,

2g +14f +c=-50

14g - 2f + c =-50

16g +12f + c = -100

Solving these equations we get,

g =-4, f = -3, c = 0

Hence general equation of circle is,

x² + y² - 8x - 6y  = 0

4 0
3 years ago
At which approximate x-value are these two equations equal? A. 0. 5 B. 0. 8 C. 1. 2 D. 1. 4.
Alinara [238K]

Answer:

What are the two equations?

Step-by-step explanation:

Once u answer that I'll edit this and answer ur question :)

5 0
2 years ago
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