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Elden [556K]
3 years ago
7

Find the area of an equilateral triangle (regular 3-gon) with the given measurement.

Mathematics
2 answers:
notka56 [123]3 years ago
3 0
A= (1/2) b*h
h=3 sqrt3
A= (1/2)*6*3sqrt3
A= 9sqrt3 square inches
Alisiya [41]3 years ago
3 0

Answer:

The area of the triangle is 9√3 in²

Step-by-step explanation:

We know that, the area of an equilateral triangle is,

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

Where, a is the side of the triangle,

Given,

a = 6 inches,

Thus, the area of the given equilateral triangle is,

A=\frac{\sqrt{3}}{4}(6)^2

=\frac{36\sqrt{3}}{4}

=9\sqrt{3}\text{ square inches}

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Chloe and Libby want to tie Ryan to a bunch of approximately spherical helium balloons of diameter 0.3m. The volume of each ball
dem82 [27]

Answer:  Aproximately 2,525 balloons

Step-by-step explanation:

 1. Find the volume of a balloon with the formula given in the problem, where r is the radius (r=\frac{0.3m}{2}=0.15m), then:

V=4(0.15m)^{3}=0.0135m^{3}

2. Convert the volume from m³ to lliters by multiplying it by 1,000:

V=0.0135m^{3}*1000=13.5L

3. You know that that 1 liter of helium can lift 1 gram and that Ryan weighs 5 stone and 5 pounds. So you must make the following conversions:

1 g=0.0022 lb

From 5 stones to pounds

(5stone)(\frac{14pounds}{1stone})=70pounds=70lbs

4. Then Ryan's weigh is:

5lb+70lb=75lb

5. Then, if 1 liter of helium can lift 0.0022 lb, to lift 75 lb (which is the weight of Ryan) they need:

\frac{75lb*1L}{0.0022lb}=34,090.90L

6. Then, to calculate the aproximated number of balloons they need to make him float (which can call n), you must  divide the liters of helium needed to lift the weight of Ryan by the volume of a balloon, then the result is:

n=\frac{34,090.90L}{13.5L}

n=2,525.25≈2,525 balloons.

5 0
3 years ago
Sam has 4 gallons of juice. Each glass holds 1/5 of a gallon . How many glasses can he fill
Softa [21]

Answer:

20

Step-by-step explanation:

Divide 4 by 1/5 in decimal form, 1/5 in decimal form is 0.20. You can get the decimal form by dividing 1 by 5.

So 4/0.20 = 20.

6 0
3 years ago
Find the slope of the line 4x-8y=15
Arisa [49]

Answer:

-1 \frac{7}{8}

Step-by-step explanation:

4x-8y=15

4x-8y-4x=15-4x

-8y=15-4x

-8y/-8=15-4x/-8

y=-1 7/8+1/2x

slope is -1 7/8

4 0
3 years ago
Choose the best answer
solmaris [256]

Answer:

the best answer

Step-by-step explanation:

8 0
2 years ago
The temperature was zero degrees Fahrenheit. It dropped by eight degrees every hour for four hours. What was the temperature aft
serg [7]

Answer:

-32 degrees

Step-by-step explanation:

Okay so-

8 x 4 = 32

0 - 32 = -32

-32 degrees Fahrenheit

6 0
3 years ago
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