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Gelneren [198K]
2 years ago
8

The area of an equilateral triangle of side 8cm is

Mathematics
1 answer:
defon2 years ago
5 0
  • Side=a=8cm

\\ \sf\longmapsto Area=\dfrac{\sqrt{3}}{4}a^2

\\ \sf\longmapsto Area=\dfrac{\sqrt{3}}{4}(8)^2

\\ \sf\longmapsto Area=\dfrac{64\sqrt{3}}{4}

\\ \sf\longmapsto Area=16\sqrt{3}

\\ \sf\longmapsto Area=16\times 1.732

\\ \sf\longmapsto Area=27.7cm^2

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The base of a triangle is 9cm correct to the nearest cm.
OLEGan [10]

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Helen spent $145 for shoes. This was $55 more than twice what she spent for a bag. How much was the bag?
marin [14]

Answer:

45 DOLLARS

Step-by-step explanation:

For these kind of problems, write an equation to figure out the answer.

55 + 2x = 145

x represents the bag cost

145 is the shoe cost

Take out the constant, which is 55, from both sides. A constant is a useful term you should learn.

The result is: 2x = 90

Divide 2x by 2, to get x, which is the bag cost, by itself.

Result: x= 45

Since x is the bag cost, the bag costs 45 dollars

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8 0
3 years ago
Find the values of x and y.<br> 40<br> sy<br> 40<br> xº<br> X =<br> y= 0
Helga [31]

Answer:

x = 30°

y = 5

Step-by-step explanation:

The ∆ where you find x is an isosceles ∆ because two of its sides has a length of 40 each, since the other triangle has equal angles of 60° each, it also has equal length sides of 40.

Therefore, x is a base triangle of the isosceles, thus:

x = ½(180 - (180 - 60))

x = ½(180 - 120)

x = ½(60)

x = 30°

Let's find y.

8y = 40 (sides of an equilateral ∆ are equal)

Divide both sides by 8

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5 0
2 years ago
At the beginning of six grade Kevin was 4’10” tall. at the end of ninth-grade he was 5’9” tall. what was the percentage of incre
tankabanditka [31]

Answer:

<u>Kevin's height increased 19.05%</u>

Step-by-step explanation:

Height of Kevin at the beginning of sixth grade = 4’10”

Height of Kevin at the end of ninth grade = 5’9”

What was the percentage of increase in Kevin height?

For answering this question, we should convert Kevin's heights to decimal number, this way:

1 feet = 12 inches

4’10” = 4 10/12 = 4.83

5’9” = 5 9/12 = 5.75

Now, let's use the Direct Rule of Three:

Height     Percentage

4.83              100

5.75                 x

***********************************

4.83x = 5.75 * 100

4.83x = 575

x = 575/4.83

x = 119.05

119.05 - 100 = 19.05

<u>Kevin's height increased 19.05%</u>

8 0
3 years ago
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