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lions [1.4K]
3 years ago
8

Anita plans to cover a solid cone with construction paper for a science project. The cone has a diameter of 11 inches and a slan

t height of 28.5 inches. How many square inches of paper will she need to cover the entire cone? (Use 3.14 for Pi and round to the nearest hundredth. Recall the formula S A = pi r l + pi r squared.) 492.20 in.2 587.18 in.2 982.82 in.2 984..39 in.2
Mathematics
1 answer:
galben [10]3 years ago
7 0

Answer:

587.18 in²

Step-by-step explanation:

In the above question, we are given the following values

Diameter = 11 inches

Radius = Diameter/2 = 11 inches/2 = 5.5 inches

Slant height = 28.5 inches.

We were asked to find how many square inches of paper will she need to cover the ENTIRE cone.

To solve for this, we would use formula for Total Surface Area of a Cone

Total Surface Area of a Cone = πrl + πr²

= πr(r + l)

Using 3.14 for π

Total Surface Area of a Cone

= 3.14 × 5.5( 5.5 + 28.5)

= 3.14 × 5.5 × (34)

= 587.18 in²

Therefore, Anita will need 587.18 square inches of paper to cover the entire cone.

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barxatty [35]

Answer:

the answer is the last one, you solve this by comparing the lines from each shape. these shapes are congruent, meaning they're the same, so the like AB on the first shape and EF on the second are the same, and so on if that makes any sense. surely someone else could do a better explanation than me tho

6 0
3 years ago
A group of winning ticket holders share equally 90,000,000 lottery. Before the money is divided, three more winning ticket holde
Kruka [31]

Let's assume

people were in the original group of winners as x

A group of winning ticket holders share equally 90,000,000 lottery

Before the money is divided, three more winning ticket holders are declared

so, total number of winning tickes =x+3

each persons share is reduced to 5,000,000

so, total money =5,000,000*(x+3)

and this must be equal to total money

5000000(x+3)=90,000,000

now, we can solve for x

and we get

x+3=18

Subtrac both sides by 3

x+3-3=18-3

x=15

so,

number of people were in the original group of winners is 15 ...........Answer

6 0
3 years ago
17,358 divided blank equals 789
Otrada [13]
1= 22.08
2= 25704
3= 587
4= 610
6 0
3 years ago
Solve the system of equations.<br> – 9y + 4x – 11 = 0<br> - 3y + 10x + 31 = 0
Kruka [31]

value of x =-4 and value of y=-3

(-4,-3) is the solution of system of equations.

Step-by-step explanation:

We need to solve the system of equations

-9y + 4x-11 = 0- 3y + 10x + 31 = 0

Rearranging:

-9y + 4x = 11\,\,\,eq(1)\\- 3y + 10x=- 31 = 0\,\,\,eq(2)

Multiply eq(2) with 3 and subtract eq(2) from eq(1)

-9y + 4x = 11\\-9y+30x=-93\\+\,\,\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,+\\----------\\-26x=104\\x=\frac{104}{-26}\\x=-4

Putting value of x = -4 into eq(1)

-9y + 4x = 11\\-9y+4(-4)=11\\-9y-16=11\\-9y=11+16\\-9y=27\\y=\frac{27}{-9}\\y=-3

So, value of x =-4 and value of y=-3

(-4,-3) is the solution of system of equations.

Keywords: system of equations.

Learn more about system of equations at:

  • brainly.com/question/6075514
  • brainly.com/question/7490805
  • brainly.com/question/13168205

#learnwithBrainly

5 0
3 years ago
8. The heights of female students at North Shore High School are normally distributed with a mean of 175 cm and a standard devia
gulaghasi [49]

The number of students with heights less than 163 cm should be expected is 12.

According to the statement

The mean of height is 175 cm

and  the standard deviation of height is 6 cm.

We use normal distribution here with formula

Z= X - μ /σ

Here X is 167.5 and μ is 175 and σ is 6 cm.

Substitute the values in it then

Z = 167.5 - 175 / 6

Z = -1.25

-1.25 have a p value 0.012

Out of 1000 students:

0.012 x 1000 = 12.

So, The number of students with heights less than 163 cm should be expected is 12.

Learn more about DISTRIBUTION here brainly.com/question/1094036

#SPJ4

8 0
1 year ago
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