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Talja [164]
3 years ago
11

A fair number cube with

Mathematics
1 answer:
malfutka [58]3 years ago
6 0

Answer:

b=15 percentage

a=20 percentage

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If you have 1-cup servings of juice to 30 people, how many whole gallons of juice will you need?
Ratling [72]

Answer:

2 gallons

Step-by-step explanation:

there are 16 cups in a gallon. if you have 30 cups for people, do 30/16=1.875 which you cant have 0.875 gallons of juice, so you need to round it to two gallons.

3 0
3 years ago
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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
Find the lesser of two consecutive integers with a sum greater than 16.
Cerrena [4.2K]
A number that is less that 7.5 can be used as the lesser of the two consecutive integers with the sum greater than 16, but only if the number used was added with one.
8 0
3 years ago
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How many gallons of oil can a cylindrical tank with diameter 120 feet and height 60 feet hold?
otez555 [7]

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Idk

Step-by-step explanation:

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3 years ago
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The area of the rectangle as a single expression
Ne4ueva [31]

Answer: A=15x^2+6x-48

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

A=l*w

Where "l" is the length and "w" is the width.

You can identify from the figure that the length and the width of this rectangle are:

length=3(x+2)\\width=5x-8

Then, you need to substitute this lenght and this width into A=l*w:

A=3(x+2)(5x-8)

Now, apply Distributive property:

A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48

Finally, you need to add the like terms. Then, you get:

A=15x^2+6x-48

5 0
3 years ago
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