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2 years ago

What is the length of a diagonal of a rectangle with length 12 and width 5?

Mathematics

1 answer:

viva [34]2 years ago

5 0

Answer:

diagonal = 13

Step-by-step explanation:

12²+5² = diagonal²

diagonal² = 169

diagonal = 13

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In a school election, Juan received 4 times as many votes as Wayne, Neal recurved twenty less votes than Juan, and Kerry got hal

77julia77 [94]

Votes received by Wayne is 112

Solution:

To find: votes received by Wayne

Let the vote received by Wayne be "x"

Juan received 4 times as many votes as Wayne

Therefore,

Juan votes = 4 times as many votes as Wayne

Juan votes = 4x ---- eqn 1

Neal received twenty less votes than Juan

Neal votes = twenty less votes than Juan

Neal votes = Juan votes - 20

Neal votes = 4x - 20 ---- eqn 2

Kerry got half as many votes as Neal

Kerry votes = half of neal votes

Kerry votes = $\frac{4x - 20}{2}$ ---- eqn 3

The total votes cast in the election was 1,202

Wayne votes + Juan votes + Neal votes + Kerry votes = 1202

Plug in eqn 1 , eqn 2, eqn 3

$x + 4x + 4x - 20 + \frac{(4x - 20)}{2} = 1202\\\\2x + 8x + 8x - 40 + 4x - 20 = 1202 \times 2\\\\22x - 60 = 2404\\\\22x = 2404 + 60\\\\22x = 2464\\\\x = 112$

Therefore votes received by Wayne is 112

4 0

3 years ago

4.4 is what % of 25

kirza4 [7]

4.4 = .044

0.044x25 = 1.1

ANSWER = 1.1

8 0

3 years ago

Read 2 more answers

Express in simplest radical form. V112 Answer: Submit Answer

soldi70 [24.7K]

It would be 4 √7 that’s what i got

4 0

3 years ago

Explain solving systems of equations using substition?

Nitella [24]

when solving a system of equations the difference between that and elimination is the when you're using the Elimination u have to first multiply the numbers but when substituting it's different unlike the Elimination this is all ik and can u mark me brainliest?

8 0

3 years ago

What is the area of the shaded region of the circle?

eduard

Answer:

12π ft², B

Step-by-step explanation:

Area of circle: radius²π

The area of the entire circle would thus be 6²π, or 36π

Note that a circle has a total degree measure of 360°, and the shaded area is 120°. Thus, the area of the shaded region would be 120/360 of the circle's area, or 1/3.

1/3 * total area of the circle = area of the shaded region

1/3 * 36π = 12π

Thus, the answer is 12π ft², or B.

6 0

3 years ago

What is the length of a diagonal of a rectangle with length 12 and width 5?​

What is the length of a diagonal of a rectangle with length 12 and width 5?