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gizmo_the_mogwai [7]
2 years ago
10

The graph shows the temperature of coffee while it cools.

Mathematics
1 answer:
DaniilM [7]2 years ago
6 0

Answer:

10 Minutes

Step-by-step explanation:

At roughly 10 minutes, the y-axis meets a point at the x-ais that can be shown as (40,10)

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A motorboat travels 244 kilometers in 4 hours going upstream and 665
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Answer:

Rate of the current: 19 kilometers per hour

Rate of the boat in still water: 80 kilometers per hour

5 0
3 years ago
Solve 3[-X + (2 x + 1)] = x - 1.
vlabodo [156]

Answer:

X=-2

Step-by-step explanation:

All steps are shown in the image

4 0
3 years ago
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The diagonal of a TV set is 13 inches long. It’s length is 7 inches more than the height. Find the dimensions of the TV set.
alukav5142 [94]

Answer: The length is 12 inches while the height is 5 inches

Step-by-step explanation: It the Television has a diagonal of 13 inches, and a height of H inches, then the length would be (H + 7) inches. It’s length is 7 inches more than the height. At this point we can draw up a right angled triangle with the hypotenuse as 13 (diagonal side) and the other two sides as H and (H + 7)

Then we can apply the Pythagoras theorem which states that

AC^2 = AB^2 + BC^2

(Where AC is the hypotenuse and AB and BC are the two other sides)

Hence,

13^2 = H^2 + (H + 7)^2

169 = H^2 + (H^2 + 14H + 49)

169 = 2H^2 + 14H + 49

By collecting like terms we now have

169 - 49 = 2H^2 + 14H

120 = 2H^2 + 14H

By re-arranging all terms on one side of the equation, we arrive at

2H^2 + 14H - 120 = 0

Divide all sides by 2

H^2 + 7H - 60 = 0

To solve the quadratic equation, we now factorize and we have,

H^2 + 12H - 5H - 60 = 0

(H + 12) (H - 5) = 0

Therefore

Either H + 12 = 0 OR

H - 5 = 0

Hence, Either H = -12 or H = 5

The dimension can not be a negative value so we shall take h equals 5.

Having calculated the height of the television as 5 inches, the length which was given as H + 7 can now be calculated as

Length = H + 7

Length = 5 + 7

Length = 12

Therefore, the length of the Television is 12 inches and the height is 5 inches

4 0
3 years ago
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steposvetlana [31]
Write down : 2, +, 3 + 1
8 0
3 years ago
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The distance traveled by a falling object is directly proportional to the square of the time it takes to fall that far. If the o
Aleks04 [339]

Answer:

400 ft

Step-by-step explanation:

Let the distance traveled = d

Let the time taken = t

d α t^2

d = kt^2

k = d /t^2

When d = 100 and t = 2.5secs

k = 100/ (2.5)^2

k = 16

d = 16t^2

When t = 5secs

d = 16(5)^2

d = 16 * 25

d = 400 ft

4 0
3 years ago
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