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3 years ago

-4x <8 solve the inequality

Mathematics

1 answer:

katovenus [111]3 years ago

6 0

Answer:

x>−2

Step-by-step explanation:

−4x<8

Step 1: Divide both sides by -4.

−4x

−4

x>−2

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A cylinder has diameter of 4ft and a height of 9ft. Explain whether halving the diameter has the same effect on the surface area

elena55 [62]

Answer:

See Below

Step-by-step explanation:

The surface area of cylinder is given by the formula:

$SA=2\pi r^2 + 2\pi r h$

Where

r is radius ( diameter is 4, so radius is 4/2 = 2)

h is height ( h = 9)

Lets find original surface are:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (9)\\SA=8\pi +36\pi\\SA=44\pi$

<u>Halving diameter:</u>

diameter would be 4/2 = 2, so radius would be 2/2 = 1

So, SA would be:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (1)^2 + 2\pi (1) (9)\\SA=2\pi +18\pi\\SA=20\pi$

<u>Halving height:</u>

Height is 9, halving would make it 9/2 = 4.5

Now, calculating new SA:

$SA=2\pi r^2 + 2\pi r h\\SA=2\pi (2)^2 + 2\pi (2) (4.5)\\SA=8\pi + 18\pi\\SA= 26\pi$

Original SA is $44\pi$ ,

Halving diameter makes it $20\pi$

Halving height makes it $26\pi$

So, halving diameter does not have same effect as halving height.

5 0

3 years ago

An environmental design architect creates a model of a park. The scale is 1.5 cm = 2.5 feet. How tall is the actual tree. The tr

olga nikolaevna [1]

12.5 feet

2.5•5=12.5 feet

Here the answer

5 0

3 years ago

Read 2 more answers

34. A MasterCard statement shows a balance of $510 at 13.9% compounded monthly. What monthly payment will pay off this debt in 1

bixtya [17]

Answer:

The monthly payment is $35.10.

Step-by-step explanation:

p = 510

r = $13.9/12/100=0.011583$

n = $12+4=16$

The EMI formula is :

$\frac{p\times r\times(1+r)^{n} }{(1+r)^{n}-1 }$

Now putting the values in formula we get;

$\frac{510\times0.011583\times(1+0.011583)^{16} }{(1+0.011583)^{16}-1 }$

=> $\frac{510\times0.011583\times(1.011583)^{16} }{(1.011583)^{16}-1 }$

= $35.10

Therefore, the monthly payment is $35.10.

8 0

3 years ago

8. The Last Supper

Salsk061 [2.6K]

The number of possible seats is an illustration of permutation

There are 1728 possible sitting arrangements

<h3>How to determine the number of seats</h3>

From the question, we have the following highlights:

Chris can only take 1 seat (i.e. the central seat)
Jo can take 2 seats (i.e. the seats adjacent the central seat)
Alex, Barb and Dave can take 3! number of seats
Eddie, Fred, and Gareth can take 3! number of seats on the right of Chris.
The remaining 4 adults do not have preference, then they can seat in 4! ways

So, the number of sitting arrangement is:

$n = 1 * 2 * 3! * 3! * 4!$