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3 years ago

Use a net to find the surface area of the cone to the nearest square centimeter. Use 3.14 for pi (Round to nearest whole number)

Mathematics

1 answer:

Mariana [72]3 years ago

3 0

Given:

The radius of the base of the given cone = 5 cm

The slant height of the cone = 19 cm

To find the surface area of the given cone.

Formula

The surface area pf the given cone is,

where, r be the radius and

l be the slant height.

Now,

Taking, r = 5, l = 19 and π = 3.14 we get,

sq cm

or, sq cm

Rounding off to the nearest square centimeter, we get;

Hence,

The surface area of the cone is 377 sq cm.

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Answer:

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2 years ago

Work out the formula of the nth term in the following quadratic sequence: 19, 15, 9, 1...

Butoxors [25]

In a quadratic sequence we'll get a linear first difference and a constant second difference. Let's verify that.

n 1 2 3 4

f(n) 19 15 9 1

1st diff -4 -6 -8

2nd diff 2 2

We see that we got a constant second difference. We could just extend that and work back up to get more values.

n 1 2 3 4 5 6 7

f(n) 19 15 9 1 -9 -21 -35

1st diff -4 -6 -8 -10 -12 -14

2nd diff 2 2 2 2 2

That's just an aside; we're after the general formula. We have

f(1)=19, f(2)=15, f(3)=9

In general we can assume

f(n) = an² + bn + c

We get three equations in three unknowns,

19 = a(1²)+b(1)+c = a+b+c

15 = a(2²) + b(2) + c = 4a + 2b + c

9 = a(3²) + b(3) + c = 9a + 3b + c

That's a 3x3 linear system; it's easy to solve directly. Subtracting pairs,

4 = -3a - b

6 = -5a - b

Subtracting those,

-2 = 2a

a = -1

b = -3a -4 = -1

c = 19-a-b = 21

Answer: f(n) = -n² - n + 21

Check:

f(1) = -1 - 1 + 21 = 19, good

f(2) = -4 - 2 + 21 = 15, good

f(3) = -9 - 3 + 21 = 9, good

f(4) = -16 - 4 + 21 = 1, good

Let's check our extended table, how about

f(7)= -49 - 7 + 21 = -35, good

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3 years ago

Draw and label a tape diagram to represent the following (choose two to do):

Aloiza [94]

Answer:

ask ur teacher

Step-by-step explanation:

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2 years ago

Ruth wants to buy a skateboard for $44. She has $100 in her account. She spent $11.36 to buy stationary. She also wants to buy s

djverab [1.8K]

Given :

Ruth wants to buy a skateboard for $44.

She has $100 in her account. She spent $11.36 to buy stationary.

She also wants to buy some comic books for $3.72 each.

To Find :

The maximum number of comic books, n, that Ruth can buy so that she has enough money left to buy the skateboard.

Solution :

Money left after buying skateboard and stationary is :

Money left = $(100 - 11.36 - 44)

Money left = $44.64

Number of comic she can buy is :

$n = \dfrac{44.64}{3.72}\\\\n = 12$

Therefore, she can buy a maximum of 12 books.

Hence, this is the required solution.

4 0

3 years ago

Read 2 more answers

Find the distance between the points (1, 7) and (10, 1) Please help:)

klio [65]

Answer:

The distance between the points (1, 7) and (10, 1) is 10.82 units

Step-by-step explanation:

Distance between two points

The distance between points A(x,y) B(w,z) can be calculated with the formula:

$d=\sqrt{(z-y)^2+(w-x)^2}$

We are given the points (1,7) and (10,1), let's use their values and compute the required distance:

$d=\sqrt{(1-7)^2+(10-1)^2}$

$d=\sqrt{(-6)^2+(9)^2}$

$d=\sqrt{36+81}=\sqrt{117}\approx 10.82$

The distance between the points (1, 7) and (10, 1) is 10.82 units

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3 years ago