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Inessa [10]
3 years ago
7

In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In

Cherokee County, Kirk was fined $221 for speeding on a road with a posted speed limit of 30 mph miles per hour. Kirk was fined for traveling at what speed, in miles per hour?
Mathematics
1 answer:
zlopas [31]3 years ago
3 0

Answer:13 miles over the speed limit

Step-by-step explanation:

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A car reales es 19.6 pounds of carbon dioxide for every 1 gallon of gasoline burned estimate the number of pounds of carbon diox
deff fn [24]
multiply 14.5 by 19.6
14.5x19.6 is 284.2pounds of carbon dioxide.
8 0
3 years ago
Graph the image of this figure after a dilation with a scale factor of 1/3
aliya0001 [1]

Answer:

(-1,1), (1,3), (2,2)

Step-by-step explanation:

To dilate an object, we need to multiply the x and y values by the given scale factor.

In this case the scale factor is 1/3 --> 1/3(x, y)

Before-> After dilation

1/3(-3,3) = (-1,1)

1/3(3,9) = (1,3)

1/3(6,6) = (2,2)

Please leave a 'thanks' if this helps!

8 0
3 years ago
How many solutions does this linear system have?<br> y= 5a-1<br> -15<br> 3y = 3
erastova [34]

Answer:

The answer would be B one solution

Hope this helps

4 0
3 years ago
A circle is centered at the point (-7, -1) and passes through the point (8, 7).The radius of the circle is____ units. The point
denis-greek [22]

Answer:

Part 1) The radius of the circle is r=17 units

Part 2) The points (-15,14) and (-15,-16) lies on this circle

Step-by-step explanation:

step 1

Find the radius of the circle

we know that

The distance between the center of the circle and any point on the circle is equal to the radius of the circle

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

(-7, -1) and (8, 7)

substitute

r=\sqrt{(7+1)^{2}+(8+7)^{2}}

r=\sqrt{(8)^{2}+(15)^{2}}

r=\sqrt{289}

r=17\ units

step 2

Find out the y-coordinate of point (-15,y)

The equation of the circle in standard form is equal to

(x-h)^2+(y-k)^2=r^2

where

(h,k) is the center

r is the radius

substitute the values

(x+7)^2+(y+1)^2=17^2

(x+7)^2+(y+1)^2=289

Substitute the value of x=-15 in the equation

(-15+7)^2+(y+1)^2=289

64+(y+1)^2=289

(y+1)^2=289-64

(y+1)^2=225

square root both sides

(y+1)=(+/-)15

y=-1(+/-)15

y=-1(+)15=14

y=-1(-)15=-16

therefore

we have two solutions

point (-15,14) and point (-15,-16)

see the attached figure to better understand the problem

8 0
3 years ago
Find the surface area of the composite figure. 4 cm 3 cm 5 cm 3 cm 4 cm 5 cm 6 cm 4 cm If you'd like, SA = [ ? ] cm2 you can use
IrinaVladis [17]

The surface area of the composite figure is 144 square cm after calculating separately.

<h3>What is a triangular prism?</h3>

When a triangle is, stretch it out to produce a stack of triangles, one on top of the other. A triangular prism is the name given to this novel 3D object.

We have a composite figure made up of a triangular prism and a cuboid

First we calculate the surface area of the triangular prism:

= 2(area of one triangle) + area of three rectangles

= 2[(1/2)6×4] + 3×5 + 3×5

= 24 + 15 + 15

= 54 square cm

Surface area of rectangle(with three faces) = 2(4×3 + 4×6) + 3×6

= 2(12 + 24) + 18

= 72 + 18 = 90 square cm

Total surface area of figure = 54+ 90 = 144 square cm

Thus, the surface area of the composite figure is 144 square cm after calculating separately.

Learn more about triangular prisms here:

brainly.com/question/16909441

#SPJ1

7 0
2 years ago
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