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Nataly [62]
3 years ago
12

What multiples of 4 are not factors of 48

Mathematics
1 answer:
Serga [27]3 years ago
7 0
The factors of 48 are 1,2,3,4,6,8,12,16,24, and 48. Take factors of 4, and see which of them are not on that list. 
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The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. The length of the h
Alex17521 [72]

Answer:

Step-by-step explanation:

Let x represent the length of the hypotenuse.

Let y represent the length of the the shorter leg.

Let z represent the length of the longer leg.

The length of the longer leg of a right triangle is 20 inches more than twice the length of the shorter leg. It means that

z = 2y + 20

The length of the hypotenuse is 22 inches more than twice the length of the shorter leg. It means that

x = 2y + 22

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

(2y + 22)² = y² + (2y + 20)²

(2y + 22)(2y + 22) = y² + (2y + 20)(2y + 20)

= 4y² + 44y + 44y + 484 = y² + 4y² + 40y + 40y + 400

4y² + 88y + 484 = y² + 4y² + 80y + 400

4y² + 88y + 484 = 5y² + 80y + 400

5y² - 4y²+ 80y - 88y + 400 - 484

y² - 8y - 84 = 0

y² + 6y - 14y - 84 = 0

y(y + 6) - 14(y + 6)

y - 14 = 0 or y + 6 = 0

y = 14 or y = - 6

The shorter length cannot be negative hence y = 14 inches

The length of the shorter side is 14 inches.

The length of the hypotenuse is

(2 × 14) + 22 = 50 inches

The length of the longer side is

(2 × 14) + 20 = 48 inches

7 0
3 years ago
Polygons QRST and Q′R′S′T′ are shown on the following coordinate grid:
Rudik [331]
ANSWER : QR is the answer
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3 years ago
This is test quiz for 6th grade math and I need my camera to be on so help me and first answer gets brainly
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1. 6:2 or 3:1
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4.0.25mile:1 min
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Tuiton at a certain college recently increased from $4000 to $5000. Find the ratio of the increase in price to the original pric
koban [17]
The increase is $5000-$4000=$1000.  The ratio of this increase to the original price is 

$1000
-------- = 1/4 (no units of measurement here)
$4000
8 0
3 years ago
PLEASE HELP ASAP ILL MARK BRAINLIEST
Reptile [31]

Answer: 4\sqrt{3}-\sqrt{5}

Step by step:

2\sqrt{5}+4\sqrt{3}-3\sqrt{5}=4\sqrt{3}-\sqrt{5} This is the simplest form of this radical.

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3 years ago
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