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mixer [17]
3 years ago
5

The aspect ratio of a TV screen is a ratio of the screen's width to the screen's height. Suppose that Noel recycles an old TV sc

reen with an aspect ratio of 4:3. If the TV screen measures 32 inches along its diagonal, what is the perimeter of the screen? Assume that the screen is shaped like a rectangle.
102.4 inches
98.6 inches
76.8 inches
89.6 inches
Mathematics
1 answer:
Paul [167]3 years ago
8 0

If the diagonal is 32 than you will us

A^2 + b^2 = c^2

We will use the aspect ratio to find a common variable

4A = 3B

a = (3/4)B now plug it in

((3/4)B)^2 + b^2 = 32 (This is because c is the diagonal)

Now solve for B

B turns out to be 25.577 inches

Plug B in

A = (3/4)(25.577)

A = 19.18

Now add up ther perimeter A + A + B + B

19.18 + 19.18 + 25.577 + 25.577

89.6 inches


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What is the equation, in point-slope form, of the line that has a slope of 6 and passes through the point (–1, –8)? a. y+8 = 6 (
Stolb23 [73]

Answer:

y + 8 = 6(x + 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = 6 and (a, b) = (- 1, - 8), hence

y - (- 8) = 6(x - (- 1)), that is

y + 8 = 6(x + 1)

8 0
3 years ago
Read 2 more answers
What are the greatest common divisors of these pairs of integers?a. 3⁷. 5³. 7³,2ⁱⁱ.3⁵.5⁹b. 11.13.17, 2⁹.3⁷.5⁵.7³c. 23³ⁱ,23ⁱ⁷d. 4
KatRina [158]

Answer:

a) 3⁵5³.

b) 1

c) 23³

d) 41·43·53

e) 1

f) 1111

Step-by-step explanation:

The greatest common divisor of two integers is the product of their common powers of primes with greatest exponent.

For example, to find gcd of 2⁵3⁴5⁸ and 3⁶5²7⁹ we first identify the common powers of primes, these are powers of 3 and powers of 5. The greatest power of 3 that divides both integers is 3⁴ and the greatest power if 5 that divides both integers is 5², then the gcd is 3⁴5².

a) The greatest common prime powers of 3⁷5³7³ and 2²3⁵5⁹ are 3⁵ and 5³ so their gcd is 3⁵5³.

b) 11·13·17 and 2⁹3⁷5⁵7³ have no common prime powers so their gcd is 1

c) The only greatest common power of 23³ and 23⁷ is 23³, so 23³ is the gcd.

d) The numbers 41·43·53 and 41·43·53 are equal. They both divide themselves (and the greatest divisor of a positive integer is itself) then the gcd is 41·43·53

e) 3³5⁷ and 2²7² have no common prime divisors, so their gcd is 1.

f) 0 is divisible by any integer, in particular, 1111 divides 0 (1111·0=0). Then 1111 is the gcd

5 0
3 years ago
What is the smallest prime number that is also a multiple of 29?
Ksivusya [100]

Answer:

If you like my answer than please mark me brainliest thanks. A prime number is never multiple of any number it is always multiple of itself and 1 . But your answer is 29 itself

6 0
3 years ago
urgente ordenar de mas grande a mas pequeño estos numeros: 85,94 85,490 , 85,93, 85,035 ,85
Ilia_Sergeevich [38]
Largest to Smallest:- 

First lets write all the numbers down. 45, 94, 85, 490, 85, 93, 85, 035, 85. 

035 is 35. 

So lets order them now.

The biggest number is 490 and smallest is 35 (035).

490 - 94 - 93 - 85 - 85 - 85 - 85 - 035 (35)

4 0
3 years ago
Read 2 more answers
7) Explain how to divide $53.56 by 10 WITHOUT USING A CALCULATOR
Sophie [7]

Answer: Okay first think back you surely have divided whole numbers by 10 it is the same with decimals for each 0 in the thing you are dividing it by you move the dot one to the left. So if you divide it by 10 it is 5.356 by 100 it would be 0.5356.

Hence the answer is 5.356.

Step-by-step explanation:

Hope it helps

4 0
3 years ago
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