Answer:
1.27
Step-by-step explanation:


=
Distance of the person from the building (x)
tan 24 = 20/x => x = 20/tan 24 = 44.92 ft
The height of the building above the height of the person and the distance of the person from the building forms two legs of right angled triangle.
Therefore, if h is the height of the building, then;
tan 31 = (h-20)/44.92
h-20 = 44.92 tan 31
h = (44.92 tan 31) + 20 = 26.99 + 20 = 46.99 ft
<u>A </u><u>pair of shoes</u><u> gives us</u><u> 48 </u><u>different outfits.</u>
What is a linear equation?
- A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
- The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." from Wolfram MathWorld: linear
We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.
If mom buys 1 shirt, then total shirts(A) = 6+1 =7, total pants(B) = 2 and total shoes (C) = 3
By basic counting principle, number of outfits = A*B*C = 7*2*3 = 42 outfits possible
and
If mom buys 1 pair of shoes, then total shirts(A) = 6, total pants(B) = 2 and total shoes (C) = 3+1 = 4
By basic counting principle, number of outfits = A*B*C = 6*2*4 = 48 outfits possible
hence, buying a pair of shoes gives us 48 different outfits.
Learn more about linear equation
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Answer:
2.5 gallons
Step-by-step explanation:
Make the denominators of the fractions the same and combine them


Then simplify the fraction

Then subtract how many gallons you have from how many you want

You will need 2.5 gallons to make 3 gallons
The solution will be: 
<em><u>Explanation</u></em>
The given inequality is: 
First we will subtract
from both sides. So.....

Now we will subtract 13 from both sides. So.....

Then we need to divide both sides by -3. As here we are <u>dividing the inequality by a negative number, so we need to switch the inequality symbol</u>. So, we will get.......

Thus, the solution will be: 