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skad [1K]
3 years ago
12

1 8 The scale blueprint of a rectangular pool is drawn inch - 1 foot. If the pool is 34 feet long, what is the measure of the po

ol's length on the blueprint? A) 3.5 in B) 3.75 in C) 4.25 in D) 4.5 in E) 4.75 in​
Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:

C

Step-by-step explanation:

The scale blueprint of a rectangular pool is drawn 1/8 in - 1 foot. If the pool is 34 feet long, what is the measure of the pool's length on the blueprint

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

Blueprint's length = 34 x 1/8 = 4.25

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HELP The minute hand of a clock is 5 inches long. to the the nearest tenth of an inch, how far does the tip of the minute hand t
faltersainse [42]

Answer:

18.326 inches

Step-by-step explanation:

The question is basically asking us to find the arc length that the tip of the minute hand travels. The formula for an arc length is S=θr. So we need th find the angle that the minute hand passes through. We know that there is 360 degrees in a cicle and there is 12 stops around a clock, so divide 360 by 12 to find the degrees the minute hand travels every 5 minutes. We ge that every 5 minutes the hand travels 30 degrees, and 35 minutes is 7*5 so we multiple 30*7 to find the angular displacement, and we get 210 degrees. This equation uses radians though so we have to convert, which can be done doing \frac{210}{1} *\frac{\pi }{180}, and we ge that θ is \frac{7\pi }{6} so (\frac{7\pi }{6})(5)= 18.326 inches

3 0
2 years ago
When 2(3/5 x + 2/3 y - 1/4 x -1 1/2 y + 3 )is simplified, what is the resulting expression?
vovangra [49]

Answer:

Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

Step-by-step explanation:

We need to simplify the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

First we will solve terms inside the bracket

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3)

Converting mixed fraction 1\frac{1}{2} y into improper fraction, we get: \frac{3}{2}y

Replacing the term:

2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-\frac{3}{2}y +3)

Now, taking LCM of: 5,3,4,2 we get 60

Now multiply 60 with each term inside the bracket

2(\frac{3}{5}x\times60+\frac{2}{3}y\times60-\frac{1}{4}x\times60-\frac{3}{2}y\times60 +3\times60)\\2(3x\times12+2y\times20-1x\times15-3x\times30-3\times60)\\2(36x+40y-15x-90y-180)

Now, combine like terms

2(36x-15x-90y+40y-180)\\2(21x-50y-180)

Now, multiply all terms with 2

42x-100y-360

So, Simplifying  the expression: 2(\frac{3}{5}x+\frac{2}{3}y-\frac{1}{4}x-1\frac{1}{2}y +3) we get \mathbf{42x-100y-360}

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Below are the choices that can be found from other sources:

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</span>
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<span>(4/3)*pi*3^3 = 36 * pi </span>

<span>But the balloon is only 3/4 full. So </span>

<span>36 * (3/4) * pi = 27 * pi. </span>

<span>The balloon has 27 pi cubic inches of water.</span>
7 0
3 years ago
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