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11111nata11111 [884]
3 years ago
14

I will be really happy if you help me out! :)

Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

Answer/Step-by-step explanation:

#8. Using the geometric mean theorem formula, h = √xy, where,

h = x

x = 4 and y = 16

Plug in the values

x = √(4*16)

x = 8

#9. Using the geometric mean formula, h = √xy, where,

h = y

x = 5 and y = 8

Plug in the values into the formula:

y = √(5*8)

y = √40

y = 6.3 (nearest tenth)

#10. Using the geometric mean formula, h = √xy, where,

h = 18

x = 12 and y = y = ???

Plug in the values into the formula:

18 = √(12*y)

Square both sides

18² = 12y

324 = 12y

Divide both sides by 12

27 = y

y = 27

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What is a mixed number equivalent to 3.750
Anastasy [175]
The answer to your question is 3 3/4.. i hope its right.
6 0
3 years ago
if the ratio of similarity of the figures above is 2/3, then what is the ratio of the perimeters of the two figures?
Mademuasel [1]

Perimeter = side 1 + side 2 ´+ side 3.

Triangle 1

Perimeter = 6 + 8 + 10

= 24

Triangle 2

Perimeter = 9 + 12 + 15

= 36

Ratio

24/36 = 2/3

The ratio of the perimeters is also 2/3

5 0
1 year ago
Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each
Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

  • Two lines are parallel if their slopes are equivalent.
  • Two lines are perpendicular if their slopes are negative reciprocals of each other.
  • And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

\displaystyle 3x+4y=12

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

4y=-3x+12

And divide both sides by four:

\displaystyle y=-\frac{3}{4}x+3

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

-6x-8y=24

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

-8y=6x+24

And divide both sides by negative eight:

\displaystyle y=-\frac{3}{4}x-3

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

3 0
2 years ago
The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five numb
sergeinik [125]

Answer:

Lowest is 100

Highest is 125

Step-by-step explanation:

We use the 5 number summary to be the foundation of a graphical representation referred to as the box plot. One box would move from one quartile which is the lowest quartile Q1 to the another quartile Q3 which is the upper quartile.

Now if a box plot is to be made given the the information in this question, the box is going to go from Quartile 1 to Quartile 3.

Then the Lowest value would be 100 and the highest 125

3 0
3 years ago
The number of mosquitoes at the beach has increased by 50% every year since 2012. In 2012, there were 2,500 mosquitoes. How many
xxTIMURxx [149]

Answer:

Step-by-step explanation:

2012 = 2500

2500 x .50 = 1250

2500 + 1250

2013 = 3750

3750 x .50 =

3750 + 1875

2014 = 5625

5625 x .50 = 2812.5

5625 + 2812.5

2015= 8437.5

8437.5 x .50 = 4218.75

8437.5 + 4218.75

2016= 12656.25

12656.25 x .50 = 6328.125

12656.25 + 6328.125

2017= 18984.375

18984.375 x .50 = 9492.1875

18984.375 + 9492.1875

2018= 28,476.5625‬

3 0
3 years ago
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