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3 years ago

Help Please Someone Asap

Mathematics

1 answer:

galben [10]3 years ago

5 0

33 over 1

and in 5 hours he would go to 1 mile and 2/3

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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. ]

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

❍ Putting the values, [Given by the question]

• Area of triangle ABC = 64cm²

• Area of triangle DEF = 121cm²

• Side EF = 15.4 cm

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

❍ By solving we get,

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

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

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

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

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

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

Hence, BC = 11.2 cm.

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

★ Figure in attachment.

$\rule{280pt}{2pt}$

4 0

3 years ago

a compass and a ruler cost $4. the compass is .90 cent more than the ruler. how much does the compass cost

LiRa [457]

The ruler is $1.55. The compass is $2.45.

4 0

3 years ago

Read 2 more answers

Mark down of 18% and 4 chairs are bought for $35 then 2 more chairs go on sale how much did all chairs cost

kondaur [170]

The answer is. 52.5 thank me later

5 0

3 years ago

Write the slope-intercept form (y=mx+b) of the equation of the line through the given slope.

iogann1982 [59]

Answer:

y = -x - 3

Step-by-step explanation:

y = mx + c

m = -1

y = -x + c

When x = 1, y = -4

-4 = -1(1) + c

c = -4+1 = -3

y = -x - 3

8 0

3 years ago

What is 22 less than 5 times a number f

Marina86 [1]

Answer:

22-5f

Step-by-step explanation:

22 less than 5 would be 22-5 and then 5 times a number f would be 5f so you would just put it all together and you would get 22-5f. I hope this is helpful

6 0

3 years ago