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2 years ago

Find the surface area of the figure. Use 3.14 as an approximation for pi.

Mathematics

1 answer:

GrogVix [38]2 years ago

5 0

Answer:

239.34 ft²

Step-by-step explanation:

The lateral surface area of the entire cone is 188.40 ft² and the lateral surface area of the missing cone is 112.34 ft².

Therefore, the lateral surface area of the given stand cut from the right circular cone is (188.4 - 112.34) = 76.06 ft²

Hence, the total surface area of this given stand cut from the right circular cone = 76.06 + area of the two horizontal surfaces at top and at bottom.

= 76.06 + π × 4² + π × 6²

= 76.06 + 3.14(16 + 36)

= 76.06 + 163.28

= 239.34 ft² (Answer)

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#20

yKpoI14uk [10]

0.48 miles

Step-by-step explanation:

Step 1

It is given that the grade(slope) is 4%. This means that for every 100 miles traveled, the elevation changes by 4 miles.

Step 2

Hence for a distance of 12 miles , the elevation changes by 12*4/100 = 48/100 = 0.48 miles. [Using direct proportion]

6 0

2 years ago

Explain the steps necessary for solving the following equation. x^2-8x-20=0

kirza4 [7]

First factor the equation
(x-10)(x+2) = 0
Then solve for (x-10) and (x+2)
x=10
x=-2

8 0

3 years ago

Read 2 more answers

Which ordered pair in the form (x, y) is a solution of this equation?

laiz [17]

Answer:

Substitute the x and y values from the ordered pairs into the equation, one by one, until both sides of the equation are equal.

Step-by-step explanation:

A. (-2,-3)

3 * (-2) - 4 * (-3) = 21

-6 + 12 = 21

6 = 21 not equal

B. (0,7)

3 * 0 - 4 * 7 = 21

0 - 28 = 21

- 28 = 21 not equal

C. (7,0)

3 * 7 - 4 * 0 = 21

21 - 0 = 21

21 = 21 equal

6 0

2 years ago

Pls help plsssssssssssssssssssssss

iren [92.7K]

Answer:

It would be 14 because since each book is 3.5cm thick times that by 4 and get 14.

8 0

2 years ago

Read 2 more answers

If p=(-3,-2) and q=(1,6) are the endpoints of the diameter of a circle find the equation of the circle

stira [4]

Answer:

The equation of the circle (x +1) )² +(y-(2))² = (2(√5))²

 or 

The equation of the circle x² + 2 x + y² - 4 y = 15

Step-by-step explanation:

Given points end Points are p(-3,-2) and q( 1,6)

The distance of two points formula

P Q = $\sqrt{x_{2} - x_{1})^{2} + ((y_{2} -y_{1})^{2} }$

P Q = $\sqrt{1 - (-3)^{2} + ((6 -(-2))^{2} }$

P Q = $\sqrt{16+64} = \sqrt{80}$

The diameter 'd' = 2 r

2 r = √80

= $\sqrt{16 X 5}$

= $4 \sqrt{5}$

r = 2√5

Mid-point of two end points

$(\frac{x_{1} + x_{2} }{2} , \frac{y_{1} +y_{2} }{2} ) = (\frac{-3+1}{2} ,\frac{-2 +6}{2} )$

= (-1 ,2)

Mid-point of two end points = center of the circle

(h,k) = (-1 , 2)

The equation of the circle

(x -h )² +(y-k)² = r²

(x -(-1) )² +(y-(2))² = (2(√5))²

x² + 2 x + 1 + y² - 4 y + 4 = 20

x² + 2 x + y² - 4 y = 20 -5

x² + 2 x + y² - 4 y = 15

Final answer:-

The equation of the circle (x +1) )² +(y-(2))² = (2(√5))²

 or 

The equation of the circle x² + 2 x + y² - 4 y = 15

6 0

3 years ago

Find the surface area of the figure. Use 3.14 as an approximation for pi.​

Find the surface area of the figure. Use 3.14 as an approximation for pi.