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2 years ago

The radius of a cylinder is 5" and the lateral area is 70 sq. in. Find the length of the altitude. 2.8" 7" 14"

1 answer:

algol132 years ago

5 0

The correct question is
The radius of a cylinder is 5" and the lateral area is 70pi sq. in. Find the length of the altitude.

we know that

[surface lateral area]=(2*pi*r)*height
height= [surface lateral area]/(2*pi*r)
surface lateral area=70*pi in²
r=5 in
so
height= [70*pi]/(2*pi*5)------> 7 in

the answer is
7 in

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2 years ago

The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow

mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

$(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)$

Hence since it passes through (7.75, 0) and (10.75, 42), the equation is:

$y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5$

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

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x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

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