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2 years ago

Which is a perfect square? 20,21, 24,25

Mathematics

2 answers:

Vesnalui [34]2 years ago

6 0

Answer:

20 is not a perfect square.

21 is not a perfect square.

24 is not a perfect square.

25 is a perfect square.

zubka84 [21]2 years ago

6 0

25 is a perfect square. 5 * 5 is 25

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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 interior angle of the regular pentagon below measures 108°, and the

mina [271]

The answer is (108) i hope it works

3 0

2 years ago

Which expression is equivalent to d-6d-3dd−6d−3d?

Softa [21]

Answer:-8d -9dd

Step-by-step explanation:I looked it up :)I'm not good at math so yeahhh but I hope this is right but if not I'll try again

7 0

2 years ago

Please help will do anything thank you

kifflom [539]

Answer:

Step-by-step explanation:

a). Stock price arranged as arithmetic sequence will be,

5, 8, 11, 14

b). Since, explicit formula of an arithmetic sequence is given by,

$a_n=a+(n-1)d$

Here, $T_n$ = nth term of the sequence

a = first term

n = number of term

d = common difference

From the table attached,

First term of the sequence 'a' = 5

Common difference 'd' = 8 - 5 = 3

Therefore, explicit formula for the given sequence will be,

$a_n=5+3(n-1)$

$a_n=2+3n$

c). Slope intercept form of the equation will be,

y = 3x + 2

d). Input out values for the graph of the given equation,

x 0 1 2 3

y 2 5 8 11

By using this data we can graph the line.

7 0

3 years ago

The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 2135 miles, with a variance

stiv31 [10]

Answer:

0.36878

Step-by-step explanation:

Given that:

Mean number of miles (m) = 2135 miles

Variance = 145924

Sample size (n) = 40

Standard deviation (s) = √variance = √145924 = 382

probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles

P( 2135 - 29 < z < 2135 + 29)

Z = (x - m) / s /√n

Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]

Z = (- 29 / 60.399503) < z < (29 / 60.399503)

Z = - 0.4801364 < z < 0.4801364

P(Z < - 0.48) = 0.31561

P(Z < - 0.48) = 0.68439

P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878

= 0.36878

3 0

2 years ago