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Vlad1618 [11]
1 year ago
8

A lampshade made from a piece of sheet plastic has a radius of the inner circle to be 7cm and that of the outer circle is 28cm.

if its arc subtends an angle of 315 degree at the center, what is the area of the plastic used to form the lampshade
Mathematics
1 answer:
NNADVOKAT [17]1 year ago
7 0

The area of the plastic used to form the lampshade is 2021.25 square centimeters

<h3>How to determine the area of the plastic used to form the lampshade?</h3>

The given parameters in the question are:

Outer radius, R = 28 cm

Inner radius, r = 7 cm

Angle, ∅ = 315

The area of the plastic used to form the lampshade is calculated using the following area  of sector formula

A = ∅/360 * π(R² - r²)

Substitute the known values in the above equation

A = 315/360 * 22/7 * (28² - 7²)

Evaluate the exponents

A = 315/360 * 22/7 * (784 - 49)

Evaluate the difference

A = 315/360 * 22/7 * 735

Evaluate the product

A = 2021.25

Hence, the area of the plastic used to form the lampshade is 2021.25 square centimeters

Read more about sector areas at:

brainly.com/question/22972014

#SPJ1

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Answer:

\huge\boxed{\text{Slope: } \frac{7}{2}}

Step-by-step explanation:

In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.

Slope intercept form is usually in the form y=mx+b, where m is the slope and b is the y-intercept.

Let's algebraically manipulate this problem so we solve for y.

  • 7x - 2y = 4
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  • y = -2 + \frac{7}{2}x <em>(Divide both sides by -2)</em>
  • y = \frac{7}{2}x-2 <em>(Rearrange the equation</em>)

From here, we can now see our equation is y = \frac{7}{2}x-2, in the form y=mx+b. Since m is the slope, and \frac{7}{2} is m, our slope is \frac{7}{2}.

Hope this helped!

6 0
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Step-by-step explanation:

         helicopter

___________________________________________

               |\   54°

               |    \

               |       \    320 ft

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               |      54°  \

-------------+--------------+-------------------------------

                        x

cos 54° = x/(320 ft)

x = 320 ft × cos 54°

x = 188 ft

Answer: 188 ft

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Calculate the annual return percentage
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The annual returns will be calculated as follows:
a] Here we use the formula:
A=p(1+r/100)^n
A=future amount
p=principle
r=returns
n=time
We are given:
A=500, p=400, t=1
Plugging the values in the formula we obtain:
500=400(1+r)^1
simplifying and solving for r:
1.25=1+r
thus
r=1.25-1
r=0.25~25%

b] Using the formula above:
A=p(1+r/100)^n
A=2500+100=2600, p=2000, n=1 year
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