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2 years ago

Katie earns $12 an hour. Which graph represents the relationship between the number of hours Katie works and her earnings,

Mathematics

2 answers:

klasskru [66]2 years ago

7 0

Answer:

first top left graph? 12×4 is 48 so that puts it about right

lutik1710 [3]2 years ago

4 0

Answer:

Top left graph

Step-by-step explanation:

Bottom left graph says she earns $10/hour, other right side graphs are just not even close, so the top left is the solution because it is over the $10/hour mark and has accurate numbers.

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A ladder is leaning up against a house. The ladder is 20 feet long and the base of the ladder is 12 feet away from the house. Ho

MrRa [10]

Answer:

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

Distance from the base of the ladder to the house = 12 feet

You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

$Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16$

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.

8 0

3 years ago

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Use the discriminant to describe the roots of each equation. Then select the best description. 2 = x2 + 5x. A) Double root B) Re

fredd [130]

$\bf 2=x^2+5x\implies 0=x^2+5x-2\\\\\\\qquad \qquad \qquad \textit{discriminant of a quadratic}\\\\\\0=\stackrel{\stackrel{a}{\downarrow }}{1}x^2\stackrel{\stackrel{b}{\downarrow }}{+5}x\stackrel{\stackrel{c}{\downarrow }}{-2}~~~~~~~~\stackrel{discriminant}{b^2-4ac}=\begin{cases}0&\textit{one solution}\\positive&\textit{two solutions}\\negative&\textit{no solution}\end{cases}\\\\\\(5)^2-4(1)(-2)\implies 25+8\implies 33$

so we have a 33, namely two real solutions for that quadratic.

usually that number goes into a √, if you have covered the quadratic formula, you'd see it there, namely that'd be equivalent to √(33), now 33 is a prime number, and √(33) is yields an irrational value, specifically because a prime number is indivisible other than by itself or 1.

so 33 can only afford us two real irrational roots.

3 0

2 years ago

There are 12 more apples than oranges in the basket of 36 apples and oranges. How

anygoal [31]

Step-by-step explanation:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>

Total number of fruits=36

Let

the number of oranges =x

The number of apples=x+12

${:}\leadsto$ $\sf x+x+12=36$

${:}\leadsto$ $\sf 2x+12=36$

${:}\leadsto$ $\sf 2x=36-12$

${:}\leadsto$ $\sf 2x=24$

${:}\leadsto$ $\sf x={\dfrac {24}{2}}$

${:}\leadsto$ $\sf x=12$

Number of Apples =12+12=24

7 0

2 years ago

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What percent of 1270 is 375?

iragen [17]

$\begin{array}{ccc}1270&-&100\%\\\\375&-&p\%\end{array}\\\\cross\ multiply\\\\1270\cdot p=375\cdot100\ \ \ /:1270\\\\p=\frac{37500}{1270}\\\\p=29\frac{67}{127}\\\\Answer:29\frac{67}{127}\%\approx29.53\%$

8 0

3 years ago

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How do you simplify 4to the 4th power divided by 4to the 4th power

kirill115 [55]

Answer:

4^4/4^4 =1

Step-by-step explanation:

8 0

3 years ago

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