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3 years ago

What is 2 accomplishments Katherine Johnson made

1 answer:

3 0

In 1957, Katherine provided some of the math for the 1958 document notes on space technology. She made contributions to the United States aeronautics and space programs with NASA

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An equilateral triangle has a perimeter of 48 cm. What is the area?

KiRa [710]

Answer:

$A=64\sqrt{3}\ cm^2$

Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

The perimeter is equal to

$P=3b$

where

b is the length side of the equilateral triangle

we have

$P=48\ cm$

substitute

$48=3b$

solve for b

$b=48/3\\b=16\ cm$

Find the area

The formula of area applying the law of sines is equal to

$A=\frac{1}{2}b^2sin(60^o)$

substitute the value of b

$A=\frac{1}{2}(16)^2sin(60^o)$

$sin(60^o)=\frac{\sqrt{3}}{2}$

$A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})$

$A=64\sqrt{3}\ cm^2$

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3 years ago

"Raju's father age is 5 years more than three times of Raju's age. Raju's father age is 50 years."

Lana71 [14]

Let rajus age be x

His father=3x+5

ATQ

$\\ \bull\tt\longmapsto 3x+5=50$

$\\ \bull\tt\longmapsto 3x=50-5$

$\\ \bull\tt\longmapsto 3x=45$

$\\ \bull\tt\longmapsto x=\dfrac{45}{3}$

$\\ \bull\tt\longmapsto x=15$

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3 years ago

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How much simple interest would $1,500 earn in 11 months at an interest rate of 3.75%

FinnZ [79.3K]

1500.*3.75%= 56.25*11= 618.75

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3 years ago

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RST is an equilateral triangle; If TX = 6 then RX =

lara31 [8.8K]

In the figure, tx is perpendicular to line RS.this means we can use the pythagorean theorem to determine RX length the long way or simply apply the theorem that each divided triangle becomes a 30-60-90 angle. If opposite to 60 deg is equal to 6 units, then the side's length is equal to 2*6/sq rt 3 or equal to 6.93 units. The answer is half of this equal to 3.47 units.

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4 years ago

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Aquarium tank holds 285 liters of water how much is this in gallons

Marianna [84]

285 liters is 75.289 U.S. gallons.

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3 years ago

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