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Black_prince [1.1K]
3 years ago
11

A drawing has a scale 1/4 in: 12ft. How long is 8ft?

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
If you use a proportion, you'll get:

\frac{0.25}{12} =  \frac{x}{8}

Then, you use cross products:

12x=0.25(8) \\ 12x=2

Then, you algebraically solve x:

12x=2 \\ \frac{12x}{12} =  \frac{2}{12}  \\ x= \frac{5}{3}

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.
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Please help!! (Number 73)
Rasek [7]
So hmm notice the picture below

one is 7x5x1.75 the volume of a rectangular prism is V = length * width * height

so 7*5*1.75 gives us 61.25 ft³

the second one, is larger by some width and length we dunno, but we know that it required that 61.25 plus an extra 17.5 to fill it up, so its volume is 61.25 + 17.5 or 78.75

the height is the same... so \bf V=l\cdot w\cdot h\qquad 
\begin{cases}
l=length\\
w=width\\
h=height\\ --------\\
h=1.75\\
V=78.75
\end{cases}\implies 78.75=lw\cdot 1.75
\\\\\\
\cfrac{78.75}{1.75}=lw\implies 45=lw

so.. if you factor 45, to two factors, one will be the length, the other the width

3 0
3 years ago
A tennis player has won 24 out of 36 matches. His sponsor says that he must win 70% of his total number of matches to qualify fo
pashok25 [27]

Answer:

He must win 11 more matches to qualify for the bonus.

Step-by-step explanation:

24/36 * 100 = 67% (to the nearest %) - This is the current percentage of what the Tennis player has won.

If we add 14 more matches on to the 36 the player has already played, we know that the Tennis player plays 50 matches in total.

Let's say the Tennis player was playing 100 matches, they would need to win 70 or more to qualify for the bonus. Because the player is playing half this amount of matches, we half the amount of games they have to win...

35/50 games or more must be won to qualify for the bonus. The Tennis player has already won 24 matches, so must win 11 more matches to qualify for the bonus.

Hope that helps!

5 0
2 years ago
Read 2 more answers
A circle has a diameter with endpoints of (-3, 8) and (7, 4). What is the center of the circle?
QveST [7]
(2, 6) because it is halfway between both endpoints
3 0
3 years ago
Read 2 more answers
Tara standing 20 feet from a tree and the angle of elevation is 72°. About how tall is the tree?
Zinaida [17]

Answer:

Approx 61.554 feet

Step-by-step explanation:

Since we are dealing with the opposite and adjacent sides, we will use tangent as our ratio.

Since the angle of elevation is 72 degrees, the left side of our equation is tan(72).

The right side of the equation is opposite over adjacent.

x/20

Set these equal to each other.

tan(72) = x/20

Simplify.

20 tan(72)=x

20(3.078) = x

x is approximately 61.554.

4 0
3 years ago
HELP I HAVE ONLY 1 MIN TO ANSWER IT HELP(((((((&&&&
LenKa [72]

Answer:

the one you have marker is correct

Step-by-step explanation:

5 0
3 years ago
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