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3 years ago

Given 5 blue marbles, 3 red marbles and 2 white marbles. Find the probability of choosing a red marble given that its not white

Mathematics

1 answer:

Maslowich3 years ago

6 0

Answer:

The chances you will get a red marble over a white or blue marble is 30%

Step-by-step explanation:

If you add 5 + 3 + 2 you will get 10

You then turn it into a fraction

3/10 is the chance you will get a red over a blue or white, now we need to convert it into a percentage by turning to 10 into 100 and multiplying 3 x 10

Once you have done that you should have 30/100

Take the 100 away and turn it into a percentage

The answer would be 30%

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How do we find the value of y when x = 0

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3 years ago

The length of a rectangle is 4 more than its width. The area of the rectangle is 21m2 . What is the measure of the width?

nadezda [96]

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3 years ago

Find the area of an equilateral triangle with 12-inch altitudes

Nina [5.8K]

$\textit{height of an equilateral triangle}\\\\ h=\cfrac{s\sqrt{3}}{2}~~ \begin{cases} s=\stackrel{side's}{length}\\[-0.5em] \hrulefill\\ h=12 \end{cases}\implies 12=\cfrac{s\sqrt{3}}{2}\implies 24=s\sqrt{3}\implies \cfrac{24}{\sqrt{3}}=s \\\\[-0.35em] ~\dotfill$

$\textit{area of an equilateral triangle}\\\\ A=\cfrac{s^2\sqrt{3}}{4}\qquad \qquad A=\cfrac{~~ \left( \frac{24}{\sqrt{3}} \right)^2 \sqrt{3}~~}{2}\implies A=\cfrac{~~ \frac{24^2}{3} \sqrt{3}~~}{2} \\\\\\ A=\cfrac{192\sqrt{3}}{2}\implies A=96\sqrt{3}\implies A\approx 166.28$

4 0

2 years ago

What is the height of the building pictured below if its shadow is 100 ft. long?

Evgen [1.6K]

Yeah.. baby, do the SOH CAH TOA with the hula hoop

$\bf 
sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}
$

so.. hmmm we have in the picture, an angle, and two sides,
actually, is the "adjacent" side, and the "opposite"

so.. which of those ratios give us only
the angle
the adjacent side
the opposite side?

ahhha!, is Ms tangent
so $\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(42^o)=\cfrac{h}{100}$

solve for "h"

5 0

3 years ago

I think I got this for the most part just need to be surs

defon

Answer:

a) 37.33 tons

b) 96 tons

c) Week 2

Step-by-step explanation:

a) 40+40+32=112÷3=37.33 tons

b) 32+40+24=96 tons

c) Week 2

6 0

3 years ago