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melisa1 [442]
3 years ago
7

A store donated 2 1/4 cases of crayons to a day care center. Each case holds 24 boxes of crayons; each box holds 8 crayons. How

many crayons did the center receive?
Mathematics
1 answer:
Lana71 [14]3 years ago
8 0
2 1/4 cases...each case holds 24 boxes...each box holds 8 crayons.

2 cases is 24(2) = 48 boxes.....1/4(24) = 6 boxes.....total boxes is 54
54 * 8 = 432 total crayons <===
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Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men  standing to the top of the clock tower.

#Taking the right triangle ACD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5

#Taking the right triangle ABD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5

#We equate the two yo solve for x and y;

(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939

Hence, John's distance from the tower's base is 18.7939 m

8 0
3 years ago
What is the sum of the interior angles in this shape?
Dmitrij [34]

Answer:

720° :)

Step-by-step explanation:

You can find the total interior angle for any shape using the following (n being the number of sides):

S = ( n - 2 ) × 180 °

S = (6-2) * 180

S = 720

5 0
3 years ago
Read 2 more answers
Line k has a slope of - 1/6. What is the slope of a line that is perpendicular to like k?
Lemur [1.5K]
The slope of a line and the perpendiular line that intercept will always have a product of -1

If the slope k=-1/6, the perperndicular line can be found by finding the product of the slope and -1

-1= (slope)(perpendicular line slope)
perpendicular line slope= slope(-1)
                             = -1/6(-1)
                             = 6
6 0
3 years ago
(2n^4 - 8 - 3n) - (4n^2 + 7n +4) <br> I have to simplify but don't know how to
Ahat [919]
First remove the parenthes  as there is a negtive outside the second parentheses the signs of the terms inside change.

= 2n^4 - 8 - 3n - 4n^2 - 7n - 4

Now simplify like terms

= 2n^4 - 4n^2 - 10n - 12

= 2(n^4 - 2n^2 - 5n - 6)
3 0
3 years ago
A car travels 322 miles on 11.5 gallons of gas. What is the cars miles per gallon
kolbaska11 [484]
28 miles per gallon. To find miles per gallon you do miles divided by gallons which in this case is 322/11.5=28.

If you need any more help feel free to message me.
6 0
3 years ago
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