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Oksi-84 [34.3K]
2 years ago
14

Geometry: Please help

Mathematics
1 answer:
Kisachek [45]2 years ago
3 0

Answer: 946 inches squared

Step-by-step explanation:

28 times 7 = 196

25 times 30 = 750

196 plus 750 = 946 inches squared

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Karl drove 617.3 miles. For each gallon of gas, the car can travel 41 miles. Select a reasonable estimate of the number of gallo
Hatshy [7]

Answer:

The number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

Step-by-step explanation:

As given

Karl drove 617.3 miles.

For each gallon of gas, the car can travel 41 miles.

i.e

1 gallons = 41 miles

1\ miles = \frac{1}{41}\ gallons

Now find out for the  617.3 miles.

Thus

617.3\ miles = \frac{617.3}{41}\ gallons

617.3\ miles = 15.1\ gallons

617.3\ miles = 15\ gallons\ (Approx)

Therefore the number of gallons of gas Karl used is 15 gallons.

Option (C) is correct.

4 0
3 years ago
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
If your born August, 15, 2001 Then how old would you be now?
spin [16.1K]

Answer:

18 years old you would be

3 0
3 years ago
Read 2 more answers
Owning a small and successful business isn't easy! There is a monthly cost of shipping supplies and
andriy [413]

Answer:

C(x)=24,000+19,200x

Step-by-step explanation:

<u>Mathematical Modeling</u>

To model a real-life situation, a mathematical model can be constructed in such a way it accurately represents the variables measured in the system.

This problem requires to build a model for the yearly cost of a small and successful business.

The first data is the fixed monthly cost or the money the owner must pay regardless of the number of employees he hires. This cost includes shipping supplies and products for $2,000. To operate for a full year, the fixed cost is 12*$2,000=$24,000.

The other component of the cost function is the variable cost of x employees. Given each employee costs $1,600 each month, having x employees cost 1,600x each month. For a full year, the variable cost will be

12*1,600x=19,200x.

We finally form the total cost function:

\boxed{C(x)=24,000+19,200x}

7 0
2 years ago
Please answer, the best answer gets brainliest
puteri [66]

Answer:

Median is 18.

Mean is 22.

Step-by-step explanation:

Median has to be ordered from least to greatest:

1, 9, 17, 18, 25, 41, 43

then the median is the number in the middle, which is 18.

Mean is the sum of all the numbers, divided by 7 (because there are 7 numbers given)

25+18+9+1+43+17+41= 154

154/7 = 22

8 0
2 years ago
Read 2 more answers
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