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ludmilkaskok [199]
2 years ago
10

A right cone has radius 5 ft and slant height 9 ft. The radius and slant height are both multiplied by 1/2. Which of the followi

ng correctly describes the effect on the surface area?
Mathematics
2 answers:
Finger [1]2 years ago
8 0

Answer:

The surface area is multiplied by 1/4.

Step-by-step explanation:

Lucky guess on my quiz haha

Alekssandra [29.7K]2 years ago
3 0

Answer:

101.07ft^2

Step-by-step explanation:

Given data

radius= 5ft

h= 9ft

When the radius and height are both multiplied by 1/2

radius= 5/2ft = 2.5ft

height= 9/2 ft= 4.5ft

The expression for the surface area of the cone is

A=πr(r+√h^2+r^2)

Substiute

A= 3.142*2.5(2.5√4.5^2+2.5^2)

A= 7.855(2.5√20.25+6.25)

A= 7.855(2.5√26.5)

A= 7.855(2.5*5.147)

A=101.07 ft^2

Hence the surface area is 101.07ft^2

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tankabanditka [31]
5 486 814 rounded to the nearest  thousandth so here this is 6th digit:
because 7th digit is 4 we round down:
548.6814≈548,681
 
5 0
3 years ago
Read 2 more answers
A financial advisor is analyzing a family's estate plan. The amount of money that the family has invested in different real esta
Pachacha [2.7K]

Answer:

The amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of money that the family has invested in different real estate properties.

The random variable <em>X</em> follows a Normal distribution with parameters <em>μ</em> = $225,000 and <em>σ</em> = $50,000.

It is provided that the family has invested in <em>n</em> = 10 different real estate properties.

Then the mean and standard deviation of amount of money that the family has invested in these 10 different real estate properties is:

\mu_{\bar x}=\mu=\$225,000\\\\\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{50000}{\sqrt{10}}=15811.39

Now the lowest 80% of the amount invested can be represented as follows:

P(\bar X

The value of <em>z</em> is 0.84.

*Use a <em>z</em>-table.

Compute the value of the mean amount invested as follows:

\bar x=\mu_{\bar x}+z\cdot \sigma_{\bar x}

   =225000+(0.84\times 15811.39)\\\\=225000+13281.5676\\\\=238281.5676\\\\\approx 238281.57

Thus, the amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

6 0
3 years ago
A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hot dogs and 13 dozen
kicyunya [14]

Answer:

1 hot dog costs $0.75

1 bratwurst costs $1.35

Step-by-step explanation:

Let x and y be the price per dozen of hot dogs and bratwursts respectively.

The first day they sold 8 dozen hot dogs and 13 dozen bratwursts for ​$282.60

8x + 13y = 282.60

The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of ​$333.00

10x + 15y = 333

and we have the linear system

<em>8x + 13y = 282.60 </em>

<em>10x + 15y = 333 </em>

which can be written in matrix form as

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)\left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{c}282.60\\333\end{array}\right)

The solution would be given by

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}\left(\begin{array}{c}282.60\\333\end{array}\right)

We have  

\bf \left(\begin{array}{cc}8&13\\10&15\end{array}\right)^{-1}=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)

hence

\bf \left(\begin{array}{c}x\\ y\end{array}\right)=\left(\begin{array}{cc}-3/2&13/10\\1&-4/5\end{array}\right)\left(\begin{array}{c}282.60\\333\end{array}\right)=\left(\begin{array}{c}9\\ 16.2\end{array}\right)

Now,

if a dozen hot dogs cost $9, 1 hot dog costs 9/12 = $0.75

if a dozen bratwursts cost $16.2, 1 bratwurst costs 16.2/12 = $1.35

4 0
3 years ago
a washer and dryer cost a total of $936. The cost of the washer is two times the cost of the dryer. find the cost of each item
slamgirl [31]

Step-by-step explanation:

The washer costs $624 and the dryer costs 312.

624 is double 312 so that works out. Also if you add 624 and 312 you get 936.

7 0
2 years ago
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
irakobra [83]
Answer:891

Explanation:
1st term+common difference(desired term-1)

5+4(100-1)
9(100-1)
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891
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