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Dvinal [7]
3 years ago
11

Kevin has mowed 40% of the lawn. If he has been mowing for 20 minutes, how long will it take him to mow the rest of the grass?

Mathematics
1 answer:
Katen [24]3 years ago
3 0
It will take 30 minutes more for remaining grass. As he mowed 40% in 20 minutes, it shows that he mows twice percentage of grass in the time calculated in minutes. So it will take 30 minutes for remaining 60% grass.
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If f(x) = V7x + 31 , find f(0).
Arte-miy333 [17]

Answer:

f(0) = 31

Step-by-step explanation:

We are given the following function:

f(x) = \sqrt{7x} + 31

f(0).

This is the value of f when x = 0. So

f(0) = \sqrt{7*0} + 31 = \sqrt{0} + 31 = 0 + 31 = 31

So f(0) = 31

3 0
3 years ago
Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. He then had a total of $19.75. Let p represe
Bingel [31]
P=19.75−6.50
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7 0
3 years ago
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Can someone please help me on this question?​
yan [13]

Answer: q³⁰

Explanation:

First just solve the first part using the exponent rules

p²q⁵ becomes 1/p-⁸q-²⁰ then we flip the fraction so the exponents become positive. Now we have p⁸q²⁰.

Before multiplying the other equation, we must simplify. p-⁴q⁵ becomes 1/p⁴q-⁵ and since it's the exponents being raised to a power we simply multiply the inner exponents times the outer exponent which yields 1/p⁸q-¹⁰. We must make q-¹⁰ positive so we will then bring it to the numerator of the fraction which gives us: q¹⁰/p⁸.

Multiply q¹⁰/p⁸ * p⁸q²⁰/1 = p⁸q³⁰/p⁸ divide the p exponents by each other which yields 0 since when u divide exponents you just subtract them so 8 - 8 = 0. Your answer is now q³⁰/1 or just q³⁰

4 0
3 years ago
In the figure, a∥e , m∥n , and m∠2 = 112°.
MatroZZZ [7]

Answer

Find out the  m∠6  .

To prove

As given

a∥e , m∥n , and m∠2 = 112°.

As  m∥n

a is the transversal (A line that cuts across two or more (usually parallel) lines is called transverasl.)

Thus

∠ 2 = ∠3 ( Corresponding angle property )

∠3 = 112°

Also

a∥e and m is transversal .

∠ 3 = ∠6 = 112 ° ( Corresponding angle property )

Therefore

∠6 = 112°

3 0
3 years ago
Read 2 more answers
Find the exact value of tan (arcsin (two fifths)). For full credit, explain your reasoning.
Hitman42 [59]
\bf sin^{-1}(some\ value)=\theta \impliedby \textit{this simply means}
\\\\\\
sin(\theta )=some\ value\qquad \textit{now, also bear in mind that}
\\\\\\
sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad 
\qquad 
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}\\\\
-------------------------------\\\\

\bf sin^{-1}\left( \frac{2}{5} \right)=\theta \impliedby \textit{this simply means that}
\\\\\\
sin(\theta )=\cfrac{2}{5}\cfrac{\leftarrow opposite}{\leftarrow hypotenuse}\qquad \textit{now let's find the adjacent side}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}

\bf \pm \sqrt{5^2-2^2}=a\implies \pm\sqrt{21}=a
\\\\\\
\textit{we don't know if it's +/-, so we'll assume is the + one}\quad \sqrt{21}=a\\\\
-------------------------------\\\\
tan(\theta)=\cfrac{opposite}{adjacent}\qquad \qquad tan(\theta)=\cfrac{2}{\sqrt{21}}
\\\\\\
\textit{and now, let's rationalize the denominator}
\\\\\\
\cfrac{2}{\sqrt{21}}\cdot \cfrac{\sqrt{21}}{\sqrt{21}}\implies \cfrac{2\sqrt{21}}{(\sqrt{21})^2}\implies \cfrac{2\sqrt{21}}{21}

7 0
3 years ago
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