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4 years ago

Stuck on this for a while not sure

Mathematics

1 answer:

dlinn [17]4 years ago

8 0

Circumference of 1 table:
C = πd = 140π = 439.82 cm

Each person needs 60 cm, so divide the circumference by 60 to find the number of people who can sit at each table.
439.82/60 = 7.33

So at most 7 people can sit at each table.

7*12 = 84 so the room can only hold 84 people.

You're right

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Dani gets a student loan to go to college. If he pays $750 in interest at a rate of 3% after 10 years, how much must the loan ha

Fudgin [204]

Answer:

The loan must have been $2500 originally. i think

5 0

4 years ago

14. A right cone has a height of 14 in and a base diameter of 17 in.

Mars2501 [29]

Given:

The height of a right cone = 14 in

Base diameter = 17 in

To find:

The diagram of the cone and its lateral surface area.

Solution:

(a)

The diagram of a right cone with height 14 in and base diameter of 17 in is shown below.

Diagram is not to scale.

(b)

We know that lateral surface of the cone is

$A=\pi rl$

$A=\pi r\sqrt{r^2+h^2}$ ...(i)

Where, r is the base radius, h is vertical height and l is the slant height of the cone.

Base radius of the cone = $\dfrac{\text{Base diameter}}{2}$

$r=\dfrac{17}{2}$

$r=8.5$

Now,

Putting r=8.5, h=14 and π=3.14 in (i), we get

$A=(3.14)(8.5)\sqrt{(8.5)^2+(14)^2}$

$A=26.69\sqrt{72.25+196}$

$A=26.69\sqrt{268.25}$

$A=437.1379$

$A\approx 437$

Therefore, the lateral surface area of the cone is 437 sq. inches.

5 0

3 years ago

An office clerk earns $120 for two 4 hour shifts. How much will she earn for 15 hours of work

Lilit [14]

$215 Hope this helped

7 0

3 years ago

Read 2 more answers

Use the formula to evaluate the infinite series. Round your answer to the nearest hundredth if necessary. 72 + 12 + 2 + . . . Fo

____ [38]

The first term is a = 72

The common ratio is r = 1/6.
We multiply each term by 1/6, which is the same as dividing each term by 6.
To find r, divide any term you want over the previous term
r = 12/72 = 1/6
r = 2/12 = 1/6
etc.

Now use the infinite sum formula to find S
S = infinite sum
S = a/(1-r) ... see note below
S = 72/(1-1/6)
S = 72/(6/6 - 1/6)
S = 72/(5/6)
S = (72/1) divided by (5/6)
S = (72/1)*(6/5)
S = (72*6)/(1*5)
S = 432/5
S = 86.4

Answer: 86.4

note: this infinite sum formula only works if -1 < r < 1. In the case of r = 1/6 = 0.167 (approx), this r value is between -1 and 1.

6 0

3 years ago

In a right triangle, the 58-cm hypotenuse makes a 51-degree angle with one of the legs. To the nearest

vazorg [7]

Answer:

36.5 cm

Step-by-step explanation:

4 0

3 years ago