A sector of a circle covers 45% of the circle. Find the central angle measure of this sector.

Answers

Answer 1

Answer: A circle = 360

0.45 * 360 = 162 So the answer is 162 degrees

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Kelly has 4 dimes and some nickels. The total value of her coins is $2.25. Write an equation for this.

Answers

Answer:

$40+5x=225$

Step-by-step explanation:

We know that

1 dime = 10 cents

1 nickel = 5 cents

1 dollar = 100 cents

It is given that Kelly has 4 dimes and some nickels.

Let x be the number of nickels.

$\text{Total value}=4(10)+x(5)$

$\text{Total value}=40+5x$ ... (1)

The total value of her coins is $2.25.

Total value = $2.25 = 225 cents ...(2)

From (1) and (2) we get

$40+5x=225$

$5x=225-40$

$5x=185$

$x=37$

The number of nickels is 37.

Hence, the required equation is 40+5x=225.

total = value of nickels(n) + value of dimes
2.25 = 0.05n + 0.40

Evaluate -6 - (-3)

Answers

Answer: -3

Step-by-step explanation: In this problem we are asked to subtract -6 - (-3). It's important to understand that when we have minus a negative, we can change it to plus a positive.

Now we have the following.

-6 + 3

Starting at 0 on our number line, -6 moves us 6 units to the left. Then from there, positive 3 moves us 3 units back to the right and we end up at -3.

Therefore, -6 - (-3) = -3

Selma hypothesizes that the mass of a sample of water will not change if it is frozen. She conducts an experiment to test her hypothesis. Her experimental steps are as follows:1. Fill a beaker with 500 mL of water.
2.
3. Place the beaker in the freezer.
4. After the water freezes, place the beaker on the balance and measure its mass.

Which of the following steps is missing from Selma's experiment?

Place the beaker on the balance and measure its mass.
Run the water through a filter to make sure there are no impurities in it.
Set a timer for 2 hours.
Use a thermometer to measure the water's temperature.

Answers

place a beaker on a balance and measure the mass

Answer:

place the beaker on the balance and measure its mass.

Step-by-step explanation:

In order to see if the mass of the water changed, Selma first needs to find out what the mass of the liquid water is in order to compare it to the mass of the frozen water.

What is the three equivalent ratio of 5/7

Answers

For this case we have the following fraction:

$(5)/(7)$

To write three equivalent fractions, what we must do is multiply the numerator and the denominator of the expression by the same factor.

We have then:

For k = 3:

$(5)/(7)*(3)/(3) = (15)/(21)$

For k = 5:

$(5)/(7)*(5)/(5) = (25)/(35)$

For k = 2:

$(5)/(7)*(2)/(2) = (10)/(14)$

Answer:

the three equivalent ratio of 5/7 are:

$(15)/(21)$

$(25)/(35)$

$(10)/(14)$

You can write 5/7 or 10/14 or 20/28 or 40/56. There! 3 equivalent ratios.

A volcanic plug shaped like a cone has a diameter of 24 km and a height of 3 km.What is the volume of the plug?

Use 3.14 to approximate pi, and express your final answer in hundredths.

and

Ellie’s bird feeder is shaped like a cone with a height of 24 in. and a radius of 3 in. Packages of bird seed are cylindrical and come in different sizes.

What is the height of the package that has a radius of 6 in. and contains exactly enough bird seed to fill the feeder?

Use 3.14 to approximate pi.

Answers

volume of a cone=height times 1/3 times are of base
area of base=circle=pi times radius^2
pi is aprox in this problem 3.14
volume=height times 1/3 times 3.14 times radius^2
height=3
diameter=2radius
radius=1/2diameter
radius=1/2 times 24=12

volume=3 times 1/3 times 3.14 times 12^2
volume=1 times 3.14 times 144
volume=452.16 km^3 cubic km

second:
so bird feeder height=24
radius=3
volume=24 times 1/3 times 3.14 times 3^2
volume=8 times 3.14 times 9
volume=226.08
then find height of package with same volume
226.08=height times 1/3 times 3.14 times 6^2
226.08=height times 3.14 times 36 times 1/3
226.08=height times 3.14 times 12
226.08=heigh times 37.68
divide both sides by 37.68
6=height

the height is 6 inches

ANSWERS
1. 452.16 km^3 or 452.16 cubic km

2. 6 inches or 6 in

Please help!The formula d= sqrt 1.5h gives the distance (d) in miles you can see to the horizon from a height of h feet above the earth. To the nearest mile, how many miles can you see to the horizon from the top of the Empire State Building at 1250 feet?

Answers

Answer:

d (miles) = (sqrt 1.5) * height (feet)

d (miles) = 1.2247448714 * 1,250

d (miles) = 1,530.93 miles

Step-by-step explanation:

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