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Lady_Fox [76]
3 years ago
13

Nuala is making a volcano for a science experiment. First, she constructs the cone. The circumference of its base is 125.6 inche

s. The height of the cone is 33 inches. What is the volume of Nuala's cone? Remember: C= pi x diameter
Mathematics
1 answer:
Reika [66]3 years ago
6 0

Answer:

34072.3 in³

Step-by-step explanation:

Step 1

The circumference of its base is 125.6 inches.

C= pi x diameter

Find the radius of the base

C/ π = Diameter

Diameter = 125.6 in/2

= 62.8 in

Step 2

The height of the cone is 33 inches.

Radius = Diameter/2

Radius = 62.8 in/2

= 31.4 in

Volume of a cone: V = (1/3)πr²h

= 1/3 × π × (31.4)² × 33

= 34072.33162 in³

Approximately = 34072.3 in³

Therefore, the volume of Nuala's cone is 34072.3 in³.

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Zoey made 6 1/2 cups of trail mix for a camping trip. She wants to divide the trail mix into 3/4 cup of servings. Twelve people
AlekseyPX

Answer:

No

Step-by-step explanation:

Given that:

Total number of cups of trail mix available for camping trip = 6\frac{1}{2}

Amount of one serving contains = \frac{3}{4} cups

Number of people at the trip = 12

To find:

Whether each person will be able to get the servings?

Solution:

Here, we can find the total number of servings by dividing the total number of cups of trail mix with the amount of one serving.

First of all, let us convert the mixed fraction into fractional number.

6\dfrac{1}{2} = \dfrac{6\times 2+1}{2} = \dfrac{13}{2}

Therefore, total number of servings available as per the given quantities:

\dfrac{\frac{13}2}{\frac{3}4}\\\Rightarrow \dfrac{13\times 4}{2\times 3} \\\Rightarrow \dfrac{26}{3}\\\Rightarrow \approx 8

So, With this type of servings Zoey will be able to serve only 8 people.

Therefore, there is not enough servings.

7 0
3 years ago
Is d= -12 a solution to the equation 8d+6= -8d-186
kupik [55]

Answer:

It is a solution

Step-by-step explanation:

8d+6= -8d-186

Add 8d to each side

8d+8d+6= -8d+8d-186

16d +6 = -186

Subtract 6 from each side

16d +6-6 = -186 -6

16d = -192

Divide each side by 16

16d/16 = -192/16

d = -12

8 0
3 years ago
A canoe traveled Downstream with the current and went a distance of 15 miles in three hours. On the return trip, the canoe trave
coldgirl [10]

Answer:

1 mile/hr

Step-by-step explanation:

Let the Speed of the boat still in water = a

Speed of the current = b

We know from this formula that speed = distance/time

Hence,

A canoe traveled Downstream with the current and went a distance of 15 miles in three hours.

Downstream = a + b = 15/3

a + b = 5 .........Equation 1

On the return trip, the canoe traveled Upstream against the current. It took 5 hours to make the return trip.

Upstream = a - b = 15/5

a - b = 3 ..............Equation 2

Combining both Equation together

a + b = 5 .........Equation 1

a - b = 3 ..............Equation 2

Subtracting Equation 2 from Equation 1

2b = 2

b = 2/2

b = 1miles/hr

Since b = speed of the current which can also be called rate of the current, the rate of the current = 1 miles/hr

4 0
3 years ago
Construct a parallelogram ABCD such that AB=9 Cm, BC=6cm and ABC=115 degress.
kkurt [141]
1.BD=AC
AC^2=(9^2)+(6^2)-2(9)(6)COS115
AC^2=117-108COS115
AC=√71.358
AC=8.447//
3 0
3 years ago
Read 2 more answers
Select all of the following tables which represent y as a function of and are one-to-<br> one.
zvonat [6]

Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

5 0
2 years ago
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