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charle [14.2K]
3 years ago
6

10=x square root plus 2x minus 15

Mathematics
1 answer:
blsea [12.9K]3 years ago
4 0
2(10)-15=x
20-15=x
x=5
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A 30-m tall building casts a shadow. The distance from the top of the building to the tip of the shadow is 32 m. Find the length
zepelin [54]

Answer: 11.1 m

Step-by-step explanation:

This can be solved by the Pythagorean theorem where;

c² = a² + b²

c is the hypotenuse which is the distance from the top of the building to the tip of the shadow.

a is the height

c is the length

32² = 30² + b²

b² = 32² - 30²

b² = 1,024 - 900

b² = 124

b = √124

b = 11.1 m

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3 years ago
The slats on Venetian blinds are designed to remain parallel in order to direct the path of light coming in a window. In paralle
Darina [25.2K]

Answer:

  A.) JH = 1 in

  B.) GH = 3/4 in

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  D.) m∠J = 118°

Step-by-step explanation:

In a parallelogram, opposite angles are congruent, adjacent angles are supplementary, and opposite sides are congruent.

  A.) JH = FG = 1 in

  B.) GH = FJ = 3/4 in

  C.) m∠F = m∠H = 62°

  D.) m∠J = m∠G = 180° -62° = 118°

8 0
3 years ago
The graph shows the temperature of coffee while it cools.
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Answer:

10 Minutes

Step-by-step explanation:

At roughly 10 minutes, the y-axis meets a point at the x-ais that can be shown as (40,10)

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2 years ago
Is 100 MG less than 10g
pantera1 [17]
There are 1000 grams in a gram  and 1000 times 10 is 10000 so yes 100 mg is less than a 10g
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Read 2 more answers
Distributions and Comparing Data Project
LenKa [72]

Answer:

1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values

The shape of the box plot created with MS Excel is approximately evenly distributed

2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class

3. Part A

The 15 numbers between 1  and 20 generated by a random generator are;

1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11

The measure of center is the mean =  (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3

The measure of spread used is the variance, s² = 32.38

Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x  \right )^{2} }{n - 1}

{\sum \left (x_i-\bar x  \right )^{2} } = 453.333

n = 15

s² = 453.\overline 3/(15 - 1) = 32.38

Part B

The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation

Step-by-step explanation:

4 0
3 years ago
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