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Leno4ka [110]
3 years ago
8

As Saturn revolves around the sun, it travels at a speed of approximately 6 miles per second. Convert this speed to miles per mi

nute. At this speed, how many miles will Saturn travel in 6 minutes?
Mathematics
1 answer:
leva [86]3 years ago
5 0

Answer:

The answer is 21,600. If it travels 6 miles per second that in a minute it would travel 360 miles. You multilpy 360 times 6 and you get your answer of 21,600 miles.

Step-by-step explanation:

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I need help with this, neither of my parents can help me and i want to understand.
olga2289 [7]

Answer:

See explanation

Step-by-step explanation:

1. To rewrite the expression

(4^{\frac{2}{5}})^{\frac{1}{4}},

use exponents property

(a^m)^n=a^{m\cdot n}

So,

(4^{\frac{2}{5}})^{\frac{1}{4}}=4^{\frac{2}{5}\cdot \frac{1}{4}}=4^{\frac{2}{20}}=4^{\frac{1}{10}}

2. Why 10^{\frac{1}{3}}=\sqrt[3]{10}?

Raise both sides to 10 power:

(10^{\frac{1}{3}})^3=10^{\frac{1}{3}\cdot 3}=10^1=10\\ \\(\sqrt[3]{10})^3=10

So,

(10^{\frac{1}{3}})^3=(\sqrt[3]{10} )^3

3. Simplify \dfrac{3^4}{9}

Use  the Quotient of Powers Property:

\dfrac{a^m}{a^n}=a^{m-n}

Then

\dfrac{3^4}{9}=\dfrac{3^4}{3^2}=3^{4-2}=3^2

4. Solve 4\sqrt{2}+5\sqrt{4}

First, note that \sqrt{4}=2, then

4\sqrt{2}+5\sqrt{4}=4\sqrt{2}+5\cdot 2=4\sqrt{2}+10

Number 4\sqrt{2} is irrational number, number 10 is rational number. The sum of irrational and rational numbers is irrational number.

5. The same as option 4.

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3 years ago
The heights of two similar parallelograms are 16 inches and 20 inches. Their
Fittoniya [83]

Answer: x=\dfrac{25}{21}

Step-by-step explanation:

Area of parallelogram = Base x height

If two parallelograms are similar, then their corresponding sides are proportional.

That means, \dfrac{\text{Area of first parallleogram}}{\text{Area of second parallleogram}}=\dfrac{\text{height of first parallelogram}}{\text{height of second parallelogram}}

\Rightarrow \dfrac{3x+5}{9x}=\dfrac{16}{20}\Rightarrow \dfrac{3x+5}{9x}=\dfrac{4}{5}\\\\\Rightarrow 5(3x+5)=4(9x)\\\\\Rightarrow\ 15x+25 = 36x\\\\\Rightarrow\ 36x-15x=25\\\\\Rightarrow\ 21x = 25\\\\\Rightarrow\ x=\dfrac{25}{21}

Hence, x=\dfrac{25}{21}

3 0
3 years ago
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