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Alexus [3.1K]
3 years ago
5

A pie chart uses 360 degrees to represent 45 people. How many people are represented by an angle of 152 degrees

Mathematics
1 answer:
Sedbober [7]3 years ago
6 0

Answer:  19 people will be represented by an angle 152 degrees.

Step-by-step explanation:

Set up a  proportional relationship to solve for this

\frac{360}{152} = \frac{45}{y}        Cross multiply

360y = 6840   Divide both sides by 360

y =  19

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This scale drawing of a rectangular computer chip has dimensions 5,5 centimeters by 12.75 centimeters. The length
podryga [215]

Answer:

280.5 mm^2

Step-by-step explanation:

scale * 25.5 mm = 127.5 mm      1275/25.5 = 5   scale factor  

25.5   *   55/5 = 280.5 mm^2

4 0
2 years ago
A (5,3) and B(3,-2) are two fixed points. Find the equation of the locus of P, so that the
andre [41]

Answer:

37=5x-2y,\,1=5x-2y

Step-by-step explanation:

If (x_1,y_1),\,(x_2,y_2),\,(x_3,y_3) are coordinates of a triangle then area of a triangle is equal to \frac{1}{2}|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|

Let point P be (x,y)

Put (x_1,y_1)=(5,3),\,(x_2,y_2)=(3,-2),\,(x_3,y_3)=(x,y)

Area of a triangle = \frac{1}{2}|5(-2-y)+3(y-3)+x(3+2)|

=\frac{1}{2}|-10-5y+3y-9+5x|\\\\=\frac{1}{2}|-19+5x-2y|

Also,

Area of a triangle = 9 square units

9=\frac{1}{2}|-19+5x-2y|\\\\18=|-19+5x-2y|

±18 = -19 + 5x - 2y

18=-19+5x-2y,\,-18=-19+5x-2y\\\\37=5x-2y,\,1=5x-2y

3 0
3 years ago
Need some help with 8th grade math
Anna007 [38]

Answer:

D = (3,3)

E = (-5,0)

F = (-2,2)

Step-by-step explanation:

the y axis is the vertical line of the graph so an example of flipping would be (-3,5) turns to (3,5) changing only the x value same the other way around (5,-9) turns to (-5,9) only the x value changes symbol

6 0
3 years ago
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The Math Club is sponsoring a bake sale. If their goal is to raise at least $200, how many pies must they sell at $4.00 each in
wolverine [178]

Answer:

The Math Club must sell at least 50 pies to reach the goal

The graph in the attached figure

Step-by-step explanation:

Let

x-----> the number of sold pies

we know that

The inequality that represent the situation is

4x\geq 200

Solve for x

Divide by 4 both sides

x\geq 200/4

x\geq 50\ pies

The solution is the interval ------> [50,∞)

All positive whole numbers greater than or equal to 50

In a number line the solution is the shaded area at right of x=50 (close circle)

The Math Club must sell at least 50 pies to reach the goal

using a graphing tool

see the attached figure

3 0
4 years ago
Raul had $60. Mike had $30. Each boy donated 1 tenth of his money.
Sav [38]

Answer:

raul donated more money than mike did is

Step-by-step explanation:

raul donated 1/10 of 60 so

1/10*60=6

mike donated 1/10 of 30 so

1/10*30=3

so raul donated more money than mike did is the correct statement

5 0
3 years ago
Read 2 more answers
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