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3 years ago

The table shows a proportional relationship.

Mathematics

1 answer:

sergey [27]3 years ago

4 0

.8 is the answer you add .8 to x

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

7 0

3 years ago

Caleb got $60 for his birthday and put it in his savings account. After he deposited the money, he has $139. How much money was

seropon [69]

A. 60-x=139
B. 139-60=79
79=x

3 0

3 years ago

Simon score 4x10^2 points in a game. Joe scored 2x10^3 points in the same game. whose score is higher? how much higher?

Alexxandr [17]

Answer:

Joe scored higher by 1600

Step-by-step explanation:

Given

$Simon = 4 * 10^2$

$Joe = 2 * 10^3$

Solving (a): Which is higher?

First, we need to convert both numbers to whole numbers

$Simon = 4 * 100$

$Simon = 400$

$Joe = 2 * 10^3$

$Joe = 2 * 1000$

$Joe = 2000$

2000 is greater than 400;

Hence, Joe score higher

Solving (b): By how much?

We simply calculate the difference

$Difference = Joe - Simon$

$Difference = 2000 - 400$

$Difference = 1600$

5 0

3 years ago

What is the square root of 894 EEEEEEEEEEEEEEEEEEEEEEEEEEEEK

MariettaO [177]

Answer:

29.8 ok hope this helps

8 0

3 years ago

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The isosceles triangle has two sides with the same length. The base is one-half the length of a side. The expression which repre

Anna71 [15]

Answer:

Step-by-step explanation:

s = 8

1/2s = 4

add the 3 sides

8 + 8 + 4 = 20

7 0

3 years ago

Read 2 more answers