Solve for n. -8n − n + -n − -12n = 14

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

2 years ago

Three hens can lay 3 eggs in 3 days. a In how many days can 7 hens lay 7 eggs?

Ann [662]

In 49 days they can lay 7 eggs

7 0

3 years ago

Read 2 more answers

What is the solution set of the following equation? 6x^2 = 13x + 5

fiasKO [112]

Answer:

2nd

Step-by-step explanation:

using the quadric formula

$- ( - 13) + - \sqrt{( - 3) {}^{2} - 4 \times 6( - 5) } \div 2 \times 6$

do the math and you get the second one.

{-1/3,5/2}

6 0

3 years ago

A wedge of cheese is shaped like a triangular prism. The wedge of cheese is 7 inches tall. The base of the cheese is shaped like

Gala2k [10]

Answer:

193 in

Step-by-step explanation:

Volume of a triangular prism:

The volume of a triangular prism is the base area multiplied by the wedge, that is:

$V = A_bw$

The base area is one half times the triangle base times it's height, so:

$V = 0.5*b*h*w$

The wedge of cheese is 7 inches tall.

This means that $w = 7$

The base of the cheese is shaped like a triangle with a base of 11 and a height of 5 inches.

This means that $b = 11, h = 5$

Volume:

$V = 0.5*b*h*w = 0.5*11*5*7 = 192.5$

Rounding, approximately 193 in.

4 0

3 years ago

PLSSS HELP IF YOU TURLY KNOW THISS

AVprozaik [17]

Answer:

1 3/5

Step-by-step explanation:

brainliest pleaseeee

8 0

2 years ago