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creativ13 [48]
3 years ago
11

A mural of Elvis Presley takes 56 days to complete by seven painters 28 volunteers join the team after the first six days how ma

ny more days are required before the painting of the king of rock ‘n' roll is completed
Mathematics
1 answer:
denpristay [2]3 years ago
6 0

Answer:

10 days

Step-by-step explanation:

We are given that

Each person takes 56 days

7 painters take time=56\times 7=392 painter days

In first 6 days , 7 painters take time=7\times 6=42painter days

After 6 days , 28 volunteers are added then,

Total persons=28+7=35

Now, remaining days=392-42=350

Therefore, number of days are required before the painting of the king of rock 'n' roll is completed=\frac{350}{35}=10days

Hence,10 more days are required before the painting of the king of rock 'n' roll is completed

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∆ ABC is similar to ∆DEF and their areas are respectively 64cm² and 121cm². If EF = 15.4cm then find BC.​
lyudmila [28]

{\large{\textsf{\textbf{\underline{\underline{Given :}}}}}}

★ ∆ ABC is similar to ∆DEF

★ Area of triangle ABC = 64cm²

★ Area of triangle DEF = 121cm²

★ Side EF = 15.4 cm

{\large{\textsf{\textbf{\underline{\underline{To \: Find :}}}}}}

★ Side BC

{\large{\textsf{\textbf{\underline{\underline{Solution :}}}}}}

Since, ∆ ABC is similar to ∆DEF

[ Whenever two traingles are similar, the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. ]

\therefore \tt \boxed{  \tt \dfrac{area( \triangle \: ABC )}{area( \triangle \: DEF)} =  { \bigg(\frac{BC}{EF} \bigg)}^{2}   }

❍ <u>Putting the</u><u> values</u>, [Given by the question]

• Area of triangle ABC = 64cm²

• Area of triangle DEF = 121cm²

• Side EF = 15.4 cm

\implies  \tt  \dfrac{64   \: {cm}^{2} }{12 \:  {cm}^{2} }  =  { \bigg( \dfrac{BC}{15.4 \: cm} \bigg) }^{2}

❍ <u>By solving we get,</u>

\implies  \tt    \sqrt{\dfrac{{64 \: cm}^{2} }{ 121 \: {cm}^{2} }}   =   \bigg( \dfrac{BC}{15.4 \: cm} \bigg)

\implies  \tt    \sqrt{\dfrac{{(8 \: cm)}^{2} }{  {(11 \: cm)}^{2} }}   =   \bigg( \dfrac{BC}{15.4 \: cm} \bigg)

\implies  \tt    \dfrac{8 \: cm}{11 \: cm}    =   \dfrac{BC}{15.4 \: cm}

\implies  \tt    \dfrac{8  \: cm \times 15.4 \: cm}{11 \: cm}    =   BC

\implies  \tt    \dfrac{123.2 }{11 } cm   =   BC

\implies  \tt   \purple{  11.2 \:  cm}   =   BC

<u>Hence, BC = 11.2 cm.</u>

{\large{\textsf{\textbf{\underline{\underline{Note :}}}}}}

★ Figure in attachment.

\rule{280pt}{2pt}

4 0
2 years ago
2y - 4x = 4 Rewrite:
USPshnik [31]

Answer:

y - 2x = 2

Step-by-step explanation:

2y - 4x = 4

2(y - 2x) = 4  | : 2

y - 2x = 2

6 0
3 years ago
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How much is the percent increase from 1 to 4?
svetlana [45]

Answer:

300%

Step-by-step explanation:

3 difference increase

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Solve this following system by graphing <br> X-y=4<br> X+y=2
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Answer:

The answer is x = 3 and y = -1

Step-by-step explanation:

If you were to graph the two lines, their equations would be y = x - 4 and y = -x + 2. The two lines intersect at the point (3, -1), so the solution to the system is x = 3 and y = -1.

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The lengths of the sides of a triangle are represented by 15 cm and 20 cm what could the third side be?
natta225 [31]

the answer is D. 35 cm not everyone has the same answer !

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