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umka2103 [35]
3 years ago
13

PLEASE HELP!!!!! DUE TODAY!!!!!

Mathematics
1 answer:
prisoha [69]3 years ago
4 0

Answer:

12.4 cm³

Step-by-step explanation:

From the picture attached,

Radius of the circular top of the cone = \frac{\text{Diameter}}{2} = \frac{2}{2}=1

Height of the cone = h

Lateral height of the cone = h

By applying Pythagoras theorem in the right triangle of the cone,

l² = r² + h²

6² = 1² + h²

h = \sqrt{36-1}

h = \sqrt{35}

Ice cream needed to fill one cone = Volume of the cone

Since, formula for the volume of the cone V = \frac{1}{3} \pi r^{2} h

V = \frac{1}{3}\pi (1)^2(\sqrt{35})

   = 6.195

   ≈ 6.20 cm³

Ice cream needed to fill the two cones = 2 × 6.20

                                                                 = 12.4 cm³

Therefore, ice cream needed to fill the two cone = 12.4 cm³

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The image shows three sets of stuffed bears. Each set represents a term of the sequence (1, 4, 7, . . .) What is the next term i
frosja888 [35]

Next term = 10

You add 3 to each term to get the next

1+3 = 4

4+3 = 7

7+3 = 10

etc etc

The domain of the sequence is 1,2,3,4,... basically the set of positive whole numbers. This is known as the set of natural numbers or counting numbers. We don't include 0. The domain is the set of possible inputs for 'n' in the formula mentioned below.

The range is the sequence of values shown.

The formula to generate the sequence is

an = 3n-2

as shown by these steps below

an = a1 + d(n-1)

an = 1 + 3(n-1)

an = 1+3n-3

an = 3n-2

To get any term you want, plug in a whole number for n. For example, plug in n = 4 to get...

an = 3n-2

a4 = 3*4-2

a4 = 12-2

a4 = 10

Showing that the fourth term is 10 as found earlier above.

3 0
3 years ago
(08.04 MC)
skelet666 [1.2K]

Answer:

292,968

Step-by-step explanation:

As we know,

Sum of a geometric sequence (S) = \frac{a(1-r^{n}) }{(1-r)}

where,

a = first term of sequence,

r = the constant ratio,

n = number of terms in sequence.

So, according to the question,

a = 3,

r = 5,

n = 8.

by substituting the values in the above formula, we get;

⇒ S=\frac{3(1-5^{8}) }{(1-5)}

⇒ 292,968

7 0
3 years ago
if i have a jar 600ml and i add the water from this measuring cylinder to 3.6 liters of water.how much water do i now have altog
Ber [7]

If the cylinder already has 3.6 Liters in it, adding 600 mL would make the cylinder have 4.2 Liters of water in it.

We know this because 600 mL converted to Liters equals 0.6 L. So 3.6 L + 0.6 L = 4.2 Liters.

5 0
4 years ago
The mean score on a physics test was 75 points. Amy’s score was 67 points, which was 2 standard deviations below the mean.
Marrrta [24]

Answer:

16

Step-by-step explanation:

3 0
3 years ago
What is the value of 3(4x+5y) - 2(7x-3y) when x = -2 and y = 3
Shkiper50 [21]

Answer:

67

Step-by-step explanation:

Subsitute both given values into the equation then continue to simplify the equation

3(4(-2)+5(3)) -2(7(-2)-3(3))

3(-8+15) -2(-14-9)

3(7) -2(-23)

21 +46

67

6 0
3 years ago
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