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Romashka [77]
2 years ago
15

Select the correct answer.

Mathematics
1 answer:
Mademuasel [1]2 years ago
6 0

Answer:

26 rooms

Step-by-step explanation:

y = 2.315x + 4.084\\64=2.315x+4.084\\x = (64-4.084)/2.315\\x = 25.88

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Ms. berkin is dividing her 4 1/2-foot by 6-foot bulletin board into 4 sections with ribbon stretched from each corner to the opp
Mnenie [13.5K]

Answer:

15 feet.

Step-by-step explanation:

A bulletin board has been shown in the figure below.

Where the width of the board AB = DC = 4\frac{1}{2} = 4.5 feet

and the length of the board AD = BC = 6 feet

As Ms. Berkin is dividing the board by stretching the ribbons to the opposite corners so the length of ribbons will be AC and BD.

In right angle triangle <em>ADC</em>, using Pythagorean Theorem,

AC^2=AD^2+DC^2  = 6^2+4.5^2=36+20.25=56.25

AC= \sqrt{56.25} = 7.5 feet

Similarly in triangle <em>BDC</em>,

BD^2=BC^2+DC^2 = 6^2+4.5^2=36+20.25 =56.25

BD=\sqrt{56.25} = 7.5 feet

Thus, total length of the ribbon used = AC + BD = 7.5 + 7.5 = 15 feet

3 0
3 years ago
Find the annual rate of growth (interest rate) on an account that was worth $200 in 1975 and $415.79 in 1990
kodGreya [7K]

The percent change from one period to another is calculated from the formula:

<span><span> Where:<span>PR = Percent Rate
VPresent = Present or Future Value
VPast = Past or Present Value</span></span><span>The annual percentage growth rate is simply the percent growth divided by N, the number of years.</span>
(415.79-200)/200*100=107.89
The annual<span> percentage growth rate is simply the percent growth divided by N, the number of years.</span>
<span>
</span><span>107.89/15=7.193</span>

</span>
8 0
2 years ago
Read 2 more answers
The ratio of the radii of two similar cylinders is 3:5. The volume of the smaller cylinder is 54pi cubic centimeters. Find the v
8090 [49]
5/3 = 1.66667

1.666666^3=4.6296 (Volume is measured in cubic units)
54x4.6396=250
250 x pi = 250Pi.
8 0
2 years ago
A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of the
stiv31 [10]
Speed of current ------ y km/h 

<span>distance with the current = 4(x+y) </span>
<span>distance against the current = 5(x-y) </span>

<span>we know that 3.5(x+y) = 70 </span>
<span>x+y = 20 </span>

<span>but 4(x+y) = 4(20) = 80 </span>
<span>then 5(x-y) = 80 </span>
<span>x-y = 16 </span>

<span>x+y=20 </span>
<span>x-y=16 </span>
<span>add them </span>
<span>2x = 36 </span>
<span>x = 18 , then y = 2 </span>
5 0
2 years ago
a cylinder has a surface area of 339 square centimeters and a radius of 6 centimeters. estimate the volume of the cylinder to th
oee [108]
I divided 339 by 6 and got 56.5. That quotient rounded to the nearest whole number is 57. I hope I helped you.
4 0
2 years ago
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