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ikadub [295]
2 years ago
10

CAN SOMEONE SHOW ME HOW TO DO THIS PLEASE!

Mathematics
1 answer:
bazaltina [42]2 years ago
5 0

Answer:

∠α = 5.001°

a easy calculator for this is:

https://www.calculator.net/right-triangle-calculator.html?av=3.5&alphav=&alphaunit=d&bv=40&betav=&betaunit=d&cv=&hv=&areav=&perimeterv=&x=57&y=16

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See the picture below
mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}

radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

Now, Volume of Cone = \frac{1}{3}\pi r^2 h

Where radius is 4 and height is 10, so,

Volume of Cone = \frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0
3 years ago
Select the correct answer. Which statement best defines the term principal? A. It is an arrangement in which you buy now and pay
Hatshy [7]

Answer:

<u>The correct answer is C.  It is the original amount of money the bank loans the borrower.</u>

Step-by-step explanation:

Let's recall that are five basic elements for calculating the payment of a loan:

1. The principal. How much money you borrow.

2. The interest rate. How much money you will pay in addition to the principal.

3. The period of time. How long will it takes you to pay the loan.

4. The frequency of payment. Will you pay every month?, every quarter?, every year or maybe every two weeks?

5. Additional payments. When you have additional income seasonally and you want to lower either the period of time or the interests to pay.

4 0
4 years ago
Solving equations -3x+7=28?
AURORKA [14]

Answer:

x = - 7

Step-by-step explanation:

- 3x + 7 = 28

- 3x + 7 - 7 = 28 - 7

- 3x = 21

- 3x/3 = 21/3

- x = 7

x = - 7

3 0
3 years ago
Read 2 more answers
Help I guess? sorry I'm asking a lot of questions today
valina [46]

Answer:

63 houses have been sold this year.

Step-by-step explanation:

There are 81 houses in the community. If 7/9 are sold this year, then all you have to do is multiplication.

In this case, you would multiply 81 by 7/9 to get your answer.

81/1 x 7/9:

Cancel out the 9 and the 81. Then the denominator will be 1 x 1 and the numerator would be 7 x 9. It would be 63 (7x9=63) over 1 (1x1=1) which is just 63. Make sure to include units.

4 0
3 years ago
Read 2 more answers
Select the correct answer. Why is it important to look at your audience when speaking? A. So that they don't get bored B. So tha
Norma-Jean [14]

Answer:

c

Step-by-step explanation:

so you can get the attention and intrest them in your speech

7 0
3 years ago
Read 2 more answers
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