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Aleks [24]
3 years ago
6

What radius of a circle is required to inscribe an equilateral triangle with an area of 270.633 cm2 and an altitude of 21.65 cm?

(round to nearest tenth)

Mathematics
2 answers:
schepotkina [342]3 years ago
8 0

Answer:

The radius of the circle is 14.4 cm.

Step-by-step explanation:

Let a be the side of the equilateral triangle and r be the radius.

The area of a triangle is given by

A=\frac{1}{2}\cdot a\cdot h\\\\270.633=\frac{1}{2}\cdot a\cdot 21.65\\\\a=25.0007

We have calculate the side of the triangle. From the figure,

BD=\frac{a}{2}\\\\BD=\frac{25.0007}{2}\\\\BD=12.50035

Hence, in triangle OBD, we have

\cos30^{\circ}=\frac{BD}{r}\\\\\frac{\sqrt3}{2}=\frac{12.50035}{r}\\\\r=14.4

The radius of the circle is 14.4 cm.

skad [1K]3 years ago
4 0
The answer will be 14.4cm
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What's the difference between adding two rational number and get a negative number
nikklg [1K]

Comparing two rational numbers

Use fraction form:

 

Make the denominators the same and compare the numerators. The number with the smaller numerator is smaller. For example, to compare a/b and c/d, we rewrite

 

a/b=a*d/b*d

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Now just compare the numerators : "ad" and "bc"

 

Multiplying and Dividing Rational Numbers 

 

Multiplying and dividing rational numbers in decimal form is the same as multiplying and dividing integers. The decimal place of the product is the same of all decimals of all multiplied numbers. For example, 3.12*2.4.

 

Solution => 3.12*2.4=7.488

 

When multiplying or dividing rational numbers in fractional form, you multiply the numerators (N*N) and then multiply the denominators (D*D).

 

When dividing rational numbers in fractional form, first take the reciprocal of the divisor, and then multiply the numerators and the denominators.

 

Example => 5/9 divided by 2/7 .

 

Solution => 5/9 * 7/2 =  35/18

 

 

Adding Rational numbers

 

Adding and Subtracting rational numbers in decimal form is the same as adding and subtracting integers.

 

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When adding or subtracting rational numbers in fractional form, first make the denominator equal, and then add or subtract the numerators. 

6 0
3 years ago
newberry beverages has 4,800 fluid ounces of water to bottle. each bottle holds 8 fluid ounces will the water fill?
galina1969 [7]

Answer:

it il fill 600, 8 ounce bottles

Step-by-step explanation:

4,800 divided 8 = 600

the total is 600 bottles

i hope this helps, have a great day. And good luck!

8 0
3 years ago
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marta [7]
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3 years ago
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Effectus [21]

Answer:

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Step-by-step explanation:

Given

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x² = 72 ( take the square root of both sides )

x = ± \sqrt{72} = ± \sqrt{36(2)} = ± 6\sqrt{2}

7 0
3 years ago
Read 2 more answers
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