1. Akari has a sink that is shaped like a half-sphere. The sink has a volume of
8000
*n in. One day, her sink clogged. She has to use one of two
3
cylindrical cups to scoop the water out of the sink. The sink is completely full,
when Akari begins scooping. Hint: you may need to find the volume for both.
(a) Cup A has a diameter of 4 in, and a height of 8 in. Find the Volume of Cup A.
(b) Determine how many cups of water must Akari scoop out of the sink with Cup A to
empty it? Round the number of scoops to the nearest whole number, and make
certain to show your work.
(c) Cup B has a diameter of 8 in, and a height of 8 in. Find the volume of Cup B.
(d) How many cups of water must she scoop out of the sink with Cup B to empty it?
Round the number of scoops to the nearest whole number, and make certain to
show your work

You may need to input the number only without the "degrees".

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Explanation:

First we'll focus on triangle DEH. Ignore the other points and values.

We have the sides of EH = 32 and DH = 49. Let x be the measure of angle DHE, which is one of the pieces of angle DHG. We'll use the cosine rule to find x.

cos(angle) = adjacent/hypotenuse

cos(H) = EH/DH

cos(x) = 32/49

x = arccos(32/49)

x = 49.227195

The value is approximate and rounded to 6 decimal places. Make sure your calculator is in degree mode. Arccos is the same as inverse cosine.

We'll come back to this value later.

---------------------

Now focus on triangle HFG. Ignore the other points.

We have the sides of FG = 38 and GH = 43

Let y be the measure of angle FHG, which is the missing piece to form angle DHG. Based on how x and y are set up, we can say x+y = angle DHG.

To find y, we'll need the sine rule this time

sin(angle) = opposite/hypotenuse

sin(H) = FG/GH

sin(y) = 38/43

y = arcsin(38/43)

y = 62.094527 which is approximate to 6 decimal places

---------------------

The last step is to add the values of x and y we found earlier

angle DHG = (angle DHE) + (angle FHG)

angle DHG = (x) + (y)

angle DHG = (49.227195) + (62.094527)

angle DHG = 111.321722

angle DHG = 111 degrees after rounding to the nearest whole degree.

----------------------

If you wanted to do this all in one step, you could say:

arccos(32/49)+arcsin(38/43) = 111.3217 which rounds to 111 degrees.

Answer:

C≈28.27

Step-by-step explanation:

C=2πr

A=2·π·4.5

A≈28.27433

(round up by the nearest hundreth. very sorry if i get this question wrong.)

Answer:

x=2

Step-by-step explanation:

x-5=-3

x=2

Answer:

Slope is 2/3

Step-by-step explanation:

(-3,-7) (9,1)​

m = (y2-y1)/(x2-x1)

m = (1 + 7)/ (9 + 3)

m = 8/12

m = 2/3

Answer:

The Slope is -91

Answer:

No, a triangle cannot have 2 obtuse angles. The definition of an obtuse angle is an angle with a measure that is greater than 90°.

Step-by-step explanation:

Answer:

No, because if the triangle have two obtuse angles i.e., more than 90° angle, then the sum of all three angles of a triangle will not be equal to 180°.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

9/4 = 2.25

8/18 = 2.25

2.25 x 10 = 22.5

simple ratio work and multiplictaion

Answer:

A

Step-by-step explanation:

I would say 0

Answer:

Each student club must contribute $ 33.33 in order to meet the fundraising goal.

Step-by-step explanation:

Given that a school fundraiser has a minimum target of $ 500. Faculty have donated $ 100 and there are 12 student clubs that are participating with different activities, to determine how much money should each club raise to meet the fundraising goal, the following calculation must be performed:

(500 - 100) / 12 = X

400/12 = X

33,333 = X

Thus, each student club must contribute $ 33.33 in order to meet the fundraising goal.

Answer:

B

Step-by-step explanation:

Answer:

a. x(2+3x)b.x= 0, −2/333. a. 2x2(3x−1) b.x= 0, 1/335. a. (x−1)(x−7)b.x= 1, 7 37. a. (x−3)(x+4)b.x= 3, −439. a.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The discriminant of ax^2+bx+c=0 is b^2-4ac, in this case

4^2-4(2)10

16-80

-64

Since -64<0 there are two imaginary (or ‘complex’) solutions.

Note: if d=0, there is one real solution. if d>0, there are two real solutions.

Answer:

This means that the rate of change of your position is negative and you have a negative velocity. A negative velocity does not mean that you are slowing down

Step-by-step explanation:

The meaning to have a negative change is, it is decreasing over time.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

We have to explain the meaning to have a negative change.

Hence, We get;

A positive rate of change means that the quantity you are measuring is increasing over time, and a negative rate of change means that it is decreasing over time.

Thus, The meaning to have a negative change is, it is decreasing over time.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Answer:

180-77

Step-by-step explanation:

adjacent angles are supp

Answer:

103° | See Attached Image

Step-by-step explanation:

The angle opposite of 77° is vertical (it makes an X, therefore the angles are equal.)

The corresponding angle to the vertical of 77° is also equal to 77°.

X is supplementary to the previously mentioned angle, so it adds up to 180°.

180 - 77 = 103°

Answer:

B

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

because 3x3=6

so y would have been 6 not sure if am correct but I'm trying something

Answer: Thus both of them got it correct

Step-by-step explanation:

Step 1

Andy finds the sale price of a baseball glove that normally costs $49 by evaluating the question 49 - 0.3(49).

the Price will be 49-14.7=34:3

Step 2

Juan finds the sale price by multiplying 0.7(49).

0.7x 49 =34.3

Answer:

He can buy 3 video games

Step-by-step explanation:

150-94=56

$15=1 video game

15x3=45

Answer:

3

Step-by-step explanation:

150-94=56

this means we have 56 dollars remaining

each game is 15 dollars and if you bought 3 games that would add up to 45

56-45=11 which isn't enough for another game but will cover tax

so the answer is 3

Smore :)

Answer:

0.2 coulombs is the answer

Answer:

$0.11 approx

Step-by-step explanation:

If 4 jalapenos cost $0.45, how much is 1 jalapeno?

Given data

We are told that  4 jalapenos cost $0.45

If  4 jalapenos cost $0.45

the 1 jalapenos cost x

cross multiply

x= 0.45/4

x= 0.1125

Hence the cost of 1 jalapenos is $0.11 approx

Answer:

8hours

Step-by-step explanation:

10000÷5=2000

so the restaurant earns 2000$ per hour

8×2000=16000

8hours=16000$

Hope that helped

Answer: -3/74

Step-by-step explanation:Maybe easiest way is a calculator but Have a brilliant day of learning!

Answer:

No, because the radicands are not the same

Step-by-step explanation:

72038302229877777389Step-by-step explanation: