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lilavasa [31]
3 years ago
15

Two similar rectangular prisms have a scale factor of 3.4 and

Mathematics
1 answer:
Shalnov [3]3 years ago
5 0
2 is the answer 23:35677544
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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
The apothem is 3V3 units because it is
Reika [66]

Answer:

Opposite the 60-degree angle.

Step-by-step explanation:

5 0
3 years ago
It would help a lot, and if able, please explain
Ksju [112]
Let one side of the square be x
all sides of the square are equal
A=x•x(area formula of a square)
240.25 = x^2
so then the lengths of the sides of the square is 15.5 in
3 0
3 years ago
Read 2 more answers
What is the mean of the numbers 6 4 9 6 7 10 7​
Paha777 [63]

Step-by-step explanation:

Mean =sum of values /number of values

total sum ↪️ 6+4+9+6+7+10+7

number of values is 7

= 49/7

<h2> = 7 is themean</h2>
6 0
2 years ago
47. What is the 12th term of the geometric sequence?
GrogVix [38]

Answer:

A

Step-by-step explanation:

The rule is 2x.

So 3,6,12,24,48,96,192,384,768,1536,3072,6144,12288,....

The question asked for the 12th term so 6144.

5 0
3 years ago
Read 2 more answers
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