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Murrr4er [49]
3 years ago
13

George made a conical hat to match his costume for a party. The hat has a slant height of 14 inches and a base circumference of

16 inches. The cone is open at one end. To the nearest square unit, what is the lateral area of the hat?

Mathematics
1 answer:
Andrej [43]3 years ago
8 0
The answer is 112 inches²

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I don’t understand how to find the dimension,<br> Need help :c
slava [35]

Width = W

Length = 2 times the width plus 3 feet = 2W + 3

Area of triangle A = L * W

A = W (2W + 3)

20 = 2W^2 + 3W

2W^2 + 3W - 20 = 0

(W + 4) (2W - 5) = 0

W + 4 = 0; W = - 4 (width cannot be negative, excluded)

2W - 5 = 0

2W = 5

W = 2.5

L = 2W + 3 = 2(2.5) + 3 = 8

Answer:

Width = 2.5 feet and Length = 8 feet

Hope it helps.

8 0
3 years ago
Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equati
pashok25 [27]

Answer:

y = 23x + 10

y = 28x + 0

Step-by-step explanation:

Given that:

Miguel :

Velocity = 23 km/hr

Starting position = 10 miles

Gabby:

Velocity = 28 km/hr

Starting position = 0 miles

The general form of a linear equation :

y = mx + c

In the scenario above ; the starting points corresponds to the intercept, c

The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x

Hence ;

Miguel:

y = 23x + 10

Gabby:

y = 28x + 0

5 0
3 years ago
X - 10+ 9x = - 1 + 10x
Karo-lina-s [1.5K]

Answer:

<h2></h2><h2><u><em>the equation is false</em></u></h2>

<u><em></em></u>

Step-by-step explanation:

x - 10+ 9x = - 1 + 10x

-10 + 1 = -x - 9x + 10x

-9 = 0

the equation is false

7 0
1 year ago
Pls help will mark brainliest
tatuchka [14]

Answer: subtract 10

Step-by-step explanation: 25 - 10 =15

5 0
3 years ago
Each day, a young person should sleep 9 hours plus 1 4 hour for each year that the person is under 18 years of age. Assuming the
Andre45 [30]

Answer:

y(x) = 9 + 0.25*(18 - x)

Step-by-step explanation:

We have the following variables:

y: hours of sleep

x: age

Each day, a young person should sleep 9 hours

This means that y is 9 added to something

plus 1 4 hour for each year that the person is under 18 years of age.

For each year the person is under 18 years of age, she should sleep 1/4 = 0.25h on top of the 9 hours.

So the equation relating hours of sleep y and age x is:

y(x) = 9 + 0.25*(18 - x)

7 0
3 years ago
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