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shutvik [7]
3 years ago
15

Richard Saltwood’s car averages 620 miles on its 20-gallon tank of gas. If Richard runs out of gas and a mechanic comes to his r

escue with 2 1/4 gallons of gas, determine how far his car can go
Mathematics
1 answer:
grandymaker [24]3 years ago
7 0
Well first you have to divide 620/20 which is 31. So his car goes 31 miles per gallon so you have 2 gallons and .25 of a gallon. So first off 2*31=62 miles then the 1/4 or .25. Multiply the 31 by .25 which is 7.75 now add 62 and 7.75 and you get how far his car can go. 

62+7.75=69.75 miles
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a chord of 12cm long of 8cm is away from the of the circle what is the lenght of the chord which is 6cm away from the centre
lana66690 [7]

Answer:

The length of the chord is 16 cm

Step-by-step explanation:

Mathematically, a line from the center of the circle to a chord divides the chord into 2 equal portions

From the first part of the question, we can get the radius of the circle

The radius form the hypotenuse, the two-portions of the chord (12/2 = 6 cm) and the distance from the center to the chord forms the other side of the triangle

Thus, by Pythagoras’ theorem; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus,

r^2 = 8^2 + 6^2

r^2= 64 + 36

r^2 = 100

r = 10 cm

Now, we want to get a chord length which is 6 cm away from the circle center

let the half-portion that forms the right triangle be c

Using Pythagoras’ theorem;

10^2 = 6^2 + c^2

c^2 = 100-36

c^2 = 64

c = 8

The full

length of the chord is 2 * 8 = 16 cm

5 0
3 years ago
A runner finished a total of 1,500 kilometers in races before retiring . She finished thirty-two 15-kilometer races . The rest o
Sindrei [870]

Answer:

32*15 = 480

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1020/10

102 races

Step-by-step explanation:

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wlad13 [49]

Answer:

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Step-by-step explanation:

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