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3 years ago

The surface area of a cone is 43.75 cm2 what is the slant height of the cone ? The base diameter is 5

1 answer:

kramer3 years ago

5 0

The first step in finding the surface area of a cone is to measure the radius of the circle part of the cone. The next step is to find the area of the circle, or base. The area of a circle is 3.14 times the radius squared (πr2). Now, you will need to find the area of the cone itself. In order to do this, you must measure the side (slant height) of the cone. Make sure you use the same form of measurement as the radius.

You can now use the measurement of the side to find the area of the cone. The formula for the area of a cone is 3.14 times the radius times the side (πrl).

So the surface area of the cone equals the area of the circle plus the area of the cone and the final formula is given by:

SA = πr2 + πrl

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Please help me find the area of shaded region and step by step

Bumek [7]

Answer:

Part 1) $A=60\ ft^2$

Part 2) $A=80\ cm^2$

Part 3) $A=96\ m^2$

Part 4) $A=144\ cm^2$

Part 5) $A=9\ m^2$

Part 6) $A=(49\pi -33)\ in^2$

Step-by-step explanation:

Part 1) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior rectangle

The area of rectangle is equal to

$A=bh$

where

b is the base of rectangle

h is the height of rectangle

$A=(12)(7)-(8)(3)$

$A=84-24$

$A=60\ ft^2$

Part 2) we know that

The shaded region is equal to the area of the complete rectangle minus the area of the interior square

The area of square is equal to

$A=b^2$

where

b is the length side of the square

$A=(12)(8)-(4^2)$

$A=96-16$

$A=80\ cm^2$

Part 3) we know that

The area of the shaded region is equal to the area of four rectangles plus the area of one square

$A=4(4)(5)+(4^2)$

$A=80+16$

$A=96\ m^2$

Part 4) we know that

The shaded region is equal to the area of the complete square minus the area of the interior square

$A=(15^2)-(9^2)$

$A=225-81$

$A=144\ cm^2$

Part 5) we know that

The area of the shaded region is equal to the area of triangle minus the area of rectangle

The area of triangle is equal to

$A=\frac{1}{2}(b)(h)$

where

b is the base of triangle

h is the height of triangle

$A=\frac{1}{2}(6)(7)-(6)(2)$

$A=21-12$

$A=9\ m^2$

Part 6) we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

The area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

$A=\pi (7^2)-(3)(11)$

$A=(49\pi -33)\ in^2$

7 0

3 years ago

Given the function f)(x) =-x^2+3x+8,determine the average rate of change of the function over the interval listed in the picture

Nadusha1986 [10]

Answer:

Vertex:

(

−

)

(

)

Focus:

(

−

)

(

)

Axis of Symmetry:

Directrix:

−

Vertex:

(

−

)

(

)

Focus:

(

−

)

(

)

Axis of Symmetry:

Directrix:

−

Step-by-step explanation:

7 0

3 years ago

A farmer has 100 acres of available land that he wishes to plant with a mixture of potatoes, corn, and cabbage. It costs him $40

SpyIntel [72]

B write the objective function it works best

3 0

3 years ago

Triangle ABC is located at A(-4,5), B (-4, -1), and C(-1,1). A translation of the triangle is located at A’(-1, 7), B’(-1, 1), a

astraxan [27]

Triangle ABC is translated 3 units right and 2 units up
by looking at point A (-4,5) which is translated to A'(-1,7)
we can tell by looking at the points that -4 is shifted by 3 units to the right ti reach -1 and 5 is shifted upwards by 2 units to reach 7

7 0

3 years ago

Find the value of f(x) at the given value of x: f(x) = (x -4)(x + 3), x = 3

mario62 [17]

Answer:

-6

Step-by-step explanation:

f(x)= (3- 4)(3+3)

=( -1 )(6)

= -6

7 0

3 years ago