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Vlad1618 [11]
3 years ago
6

What is the radius of the circle? Example how you know..

Mathematics
2 answers:
Lostsunrise [7]3 years ago
7 0

Answer:

The radius of the circle is 7 units.

Step-by-step explanation:

Radius is the measure from the center point of a circle to a point on the outside edge. Since you have coordinates, you can find the radius using distance formula.

<em>You could also just count how many units are between the center and the edge to get 7 units because 8 - 1 = 7</em>

xxTIMURxx [149]3 years ago
3 0

Answer:

r=7

Step-by-step explanation:

C is at x=1 at circle side is at 8

8-1= 7

so, r=7

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A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of
professor190 [17]

The fuel consumption of each of the cars during the week are as follows;

  • The first car consumes <u>20 gallons of fuel</u>.
  • The second car consumes <u>30 gallons of fuel</u>.

Reasons:

Fuel efficiency of the first car = 15 miles per  gallon

Fuel efficiency of the second car = 35 miles per gallon

Combined distance traveled by the two cars in a week = 1,350 miles

The total gas consumption during the week = 50 gallons

Let <em>x</em> represent the number of gallons consumed by the first car, and let <em>y</em>

represent the number of gallons consumed by the second car, we get the

following system of simultaneous equations;

  • 15·x + 35·y = 1,350...(1)
  • x + y = 50...(2)

Therefore;

y = 50 - x

Which gives;

15·x + 35 × (50 - x) = 1,350

15·x + 1,750 - 35·x = 1,350

1,750 - 1,350 = 35·x - 15·x = 20·x

400 = 20·x

x = 400 ÷ 20 = 20

  • The number of gallons consumed by the first car, x = <u>20 gallons</u>

From equation (2), we have;

x + y = 50

y = 50 - x

Therefore;

y = 50 - 20 = 30

  • The number of gallons consumed by the second car, y = <u>30 gallons</u>

Learn more about word problems that lead to simultaneous equations here:

brainly.com/question/1717365

6 0
2 years ago
NOT GRADED. <br>FIND THE MEASURE OF THE INDICATED ANGLE IN EACH TRIANGLE.​
Setler [38]

Answer:

The angle in the box is always 50 and that other acute angle is 46

Hope this helps

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h (in meters) after t seconds is given
Vedmedyk [2.9K]

Answer:

0.47 and 11.53

Step-by-step explanation:

h = 60t − 5t²

27 = 60t − 5t²

5t² − 60t + 27 = 0

Quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)

t = (60 ± √3060) / 10

t = 0.47 or 11.53

3 0
3 years ago
Yasmin purchased 6 heads of cabbage that each weighed  pounds. How much did the cabbage weigh all together?
MakcuM [25]
The weight of each cabbage is not given.
I'll assume that each cabbage weighs p pounds.

Now, we know that Yasmin bought 6 cabbage each weighing p pounds. To know the total weight, we will simply multiply the number of cabbages by the weight of each as follows:
Total weight = 6 * p = 6p pounds

Hope this helps :)
5 0
3 years ago
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A gumball is approximately spherical and has a diameter of 1 inch. What is the approximate volume of the gumball? A gumball is a
KatRina [158]

The approximate volume of the spherical gumball is: C. 0.5236 in.³.

<h3>How to Determine the Volume of a Spherical Shape?</h3>

If a shape is spherical, it means it has a shape of a sphere. To determine the volume of the spherical shape, we would use the formula for the volume of a sphere, which is given as:

Volume of a sphere = 4/3 × π × r³, where r (radius of the sphere) is half of the diameter of the sphere.

Given the following parameters of the sphere as:

Diameter of sphere = 1 inch.

Radius (r) = 1/2(1) = 0.5 inch.

π = 3.14

To find the approximate volume of the spherical gumball, substitute the value of r into 4/3 × π × r³:

Volume of the spherical gumball = 4/3 × 3.14 × 0.5³

Volume of the spherical gumball = 4/3 × 3.14 × 0.125

Volume of the spherical gumball = (4 × 3.14 × 0.125)/3

Volume of the spherical gumball = (1.57)/3

Volume of the spherical gumball = 0.523 in.³

Therefore, we can conclude that the approximate volume of the spherical gumball is: C. 0.5236 in.³.

Learn more about volume of sphere on:

brainly.com/question/22807400

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5 0
2 years ago
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