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Alexandra [31]
3 years ago
11

The blueprint for a fence shows a rectangle with the dimensions bin x

Mathematics
1 answer:
OleMash [197]3 years ago
5 0

Answer:

The width of the actual fence is 90ft

Step-by-step explanation:

If 2in = 10ft, you want to find the scale factor. To do this, you need to divide 10/2, so for every 5ft, it is 1in. Now, you would take how many inches you have and multiply it by 5. (in our case, 18in)

18 x 5 = 90.

So the actual fence length is 90ft.

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A cylindrical cake with a height of 5 inches has a 30 degree slice removed. If the volume of the removed slice is 40 inches what
sesenic [268]

Answer: 5.52\ in.

Step-by-step explanation:

Given

Height of cylindrical cake is h=5\ in.

30^{\circ} slice is removed

Volume of the slice is V=40\ in.^3

Area of slice is

\Rightarrow \dfrac{30^{\circ}}{360^{\circ}}\times \pi r^2\\\\\Rightarrow \dfrac{\pi r^2}{12}

Volume of slice will be multiplication of area and height

\Rightarrow V=A\times h\\\\\Rightarrow 40=\dfrac{\pi r^2}{12}\times 5\\\\\Rightarrow \pi r^2=\dfrac{40\times 12}{5}\\\\\Rightarrow r^2=\dfrac{40\times 12}{3.142\times 5}\\\\\Rightarrow r^2=30.55\\\Rightarrow r=5.52\ in.

Hence, the radius of the cake is 5.52\ in.

4 0
3 years ago
Thanks for helping...
slava [35]

Answer:

16

Step-by-step explanation:

Subtracting the given expressions, that is

3b² - 8 - (b(b² + b - 7) ) ← simplify parenthesis

= 3b² - 8 - (b³ + b² - 7b) ← distribute parenthesis by - 1

= 3b² - 8 - b³ - b² + 7b ← collect like terms

= - b³ + 2b² + 7b - 8 ← substitute b = - 3

= - (- 3)³ + 2(- 3)² + 7(- 3) - 8

= - (- 27) + 2(9) - 21 - 8

= 27 + 18 - 21 - 8

= 16

7 0
3 years ago
According to a 2015 Census Bureau survey, 75,511 of the 822,959 residents of Baltimore County, Maryland, were enrolled in colleg
quester [9]

Answer:

73.4

Step-by-step explanation:

-Given that 75,511 out of 822,959  residents enrolled in the college, the probability of success  is calculated as:

P_{enrollment}=\frac{Enrollment}{Total \ Residents}\\\\=\frac{75511}{822959}\\\\=0.09176\\\\p=0.09176

#We know that this is a binomial distribution with p=0.09176 and n=800, Expected value is calculated as:

E(X)=np, n=800, p=0.09176\\\\=0.09176\times 800\\\\=73.4

Hence the expected value E(X)=73.4

6 0
4 years ago
A day in the month of January is randomly selected What is the probability of selecting a perfect square?
Stels [109]

Answer:

5/31

Step-by-step explanation:

there are 31 days in January 5 of those are prefect squares (1,4,9,16,25)

7 0
3 years ago
Read 2 more answers
Sophia needs $47 to go on a field trip. She has saved $11.50. She earns $6.50 per hour cleaning her neighbor's garden, and she e
Likurg_2 [28]
47 - 11.50 = $35.50 needs to be earned.

If she works 6 hours:
6.50 x 4 = 26
5.25 x 2 = 10.50

26 + 10.50 = $36.50 how much she would earn by working 6 hours.

when you add the amount of money she would earn for working 6 hours $36.50 plus the money she had already had saved up $11.50 the total amount of money she would have is $48.00

So, yes. She would be able to go on the field trip if she worked at both jobs to 6 hours.
5 0
4 years ago
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