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2 years ago

The sides of a rectangle measure 14 and 21. The perimeter of a similar rectangle is 40. What are the lengths of its Sides

Mathematics

1 answer:

Ipatiy [6.2K]2 years ago

3 0

Answer:

8 and 12

Step-by-step explanation:

The perimeter of the given rectangle is ...

P = 2(L +W)

P = 2(14 +21) = 2(35) = 70

The scale factor to the similar triangle is ...

similar perimeter/original perimeter = 40/70 = 4/7

The dimensions of the similar triangle are the original triangle dimensions multiplied by this scale factor:

(14)(4/7) = 8

(21)(4/7) = 12

The sides of the similar triangle are 8 and 12.

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Riverside Elementary School is holding a school-wide election to choose a school color. Five-eighths of the votes were for blue,

Mnenie [13.5K]

Answer:

Step-by-step explanation:

Let the total number of votes to choose a color = x

Number of votes for blue = $\frac{5}{8}\times x$

Remaining votes = x - $\frac{5}{8}\times x$

= $\frac{8x-5x}{8}\times x$

= $\frac{3}{8}\times x$

Votes for green = $\frac{5}{9}\times (\text{Remaining votes})}$

= $\frac{5}{9}\times \frac{3x}{8}$

= $\frac{5}{24}\times x$

Finally remaining votes = $\frac{3x}{8}-\frac{5x}{24}$

= $\frac{9x-5x}{24}$

= $\frac{4x}{24}$

= $\frac{x}{6}$

Since these votes are for red therefore,

$\frac{x}{6}$ = 48

x = 48×6

= 288

a) Votes for blue are $\frac{5x}{8}$

Therefore, exact number for blue votes = $\frac{5\times 288}{8}$

= 5×36

= 180

b). Votes for green = $\frac{5x}{24}$

= $\frac{5\times 288}{24}$

= 60

c). Since 25 students were absent on that day of the vote, number of students at Riverside Elementary School = 288 + 25

= 313

d). Since seven tenths of the votes for blue were made by the girls.

Therefore, number of girls voted for blue = $\frac{7}{10}\times 180$

= 7×18

= 126

Since total votes made = 288

Therefore, half of the votes made = $\frac{288}{2}$

= 144

Now it's clear that number of votes made by girls is less than half of all the votes.

e). 126 girls voted for blue.

5 0

3 years ago

2/3 + 3/4 + 4/2. If a fraction appears in your answer, it should be in simplified form.

V125BC [204]

We must first make each fraction have a common denominator, this will be 12
2/3 * 4/4 = 8/12
3/4 * 3/3 = 9/12
4/2 * 6/6 = 24/12
we can then add the numerators of each fraction
8 + 9 + 24 = 41
so our answer is 41/12
we can not simplify any further and thus get
41/12

5 0

2 years ago

Jenny Pedaled her bike 11 miles in 45 minutes. if she traveled at the same speed, how far would she travel in 2 hours? Please sh

Anastaziya [24]

I believe the aswer is 29.7

1) 120 (2 hrs.in minutes) divided by 45
2) Round and multiply 2.7 by 11
3) Get your answer

OR
1) 120 (2 hrs. n minutes) times 11
2) Divide by 45 and Get answer

6 0

3 years ago

Which expression is equivalent to (-3)x+ (-3) (-12)?

julia-pushkina [17]

Answer:

Step-by-step explanation:

gimme brainliest

6 0

2 years ago

On a local sports team, 20% of 50 players are left-handed. How many left-handed players are there?

Novay_Z [31]

Answer:

Step-by-step explanation:

20%x50=10

5 0

3 years ago