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WINSTONCH [101]
2 years ago
15

Simplify the equation:

rt[3]{3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Bond [772]2 years ago
4 0

To simplify \frac{3}{\sqrt[3]{3} }, we have to follow the rules.

Here are the steps to the question:

Step 1: Follow the radical rule.

\sqrt[n]{a} = a \frac{1}{n}

So, we get \frac{3}{3\frac{1}{3} }.

Next, follow the exponent rule.

\frac{x^{a} }{x^{b} } = x^{a-b}

We get 3^{1} - \frac{1}{3}.

The answer is \frac{3}{\sqrt[3]{3} }.

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If the area of a square with side x is equal to the area of a triangle with base x, then find the altitude of the triangle.
zhannawk [14.2K]

Answer:

h= 2x

Step-by-step explanation:

Given

Square

Side = x

Triangle

Base = x

Altitude = h

Required

Find h, if both shapes have the same area

The area of the square is:

Area = x * x

Area = x^2

The area of the triangle is:

Area = \frac{1}{2} * Base*Height

Area = \frac{1}{2} * x*h

Equate both areas

x^2 = \frac{1}{2} * x*h

Divide both sides by x

x = \frac{1}{2} *h

Multiply both sides by 2

2*x = \frac{1}{2} *h*2

2x = h

h= 2x

3 0
2 years ago
Please answer this fast thank uuu :)
Serga [27]

Answer:

x + 37 = 90

Step-by-step explanation:

Since complementary angles add up to 90 degrees, we would need to add 37 and x to equal 90 degrees. Therefore, x + 37 equals 90 degrees. As for solving, subtract 37 from both sides and you are left with x = 53.

5 0
3 years ago
The time it takes to cover the distance between two cities by car varies inversely with the speed of the car. The trip takes 5 h
kogti [31]

v=d/t

44=d/5

d=220 mile

v=220/11

v=20 mph

7 0
2 years ago
The grocery store charges $10.35 for 5 bags of oranges.If someone bought 9 bags of oranges,how much would it cost then
Crank
It’s $18.63 , 10.35 divided by 5 = 2.07 , so 2.07 times 9 = $18.63
3 0
2 years ago
write an equation that represents each mixed number as a sum of whole numbers and unit fractions 4 1/4
Serhud [2]
The equation would be 4 1/4 = 4 + 1/4
3 0
2 years ago
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