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3 years ago

Find the slant height of a cone with surface area 282.74 ft2 and diameter 10 ft.

Mathematics

1 answer:

ELEN [110]3 years ago

5 0

The formula for the surface area of cone is:

Surface Area of Cone = π * r * l + π * r^2 , where l = slant height

Substituting the given values:

282.74 ft^2 = 3.14 * 5 ft * l + 3.14 * (5 ft)^2

l = 13 ft

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If ED = x + 4 and DB = 3x - 8, find ED, DB, and EB

Tom [10]

Answer:

Part 1) $ED=10\ units$

Part 2) $DB=10\ units$

Part 3) $EB=20\ units$

Step-by-step explanation:

we know that

EB=ED+DB

ED=DB -----> given problem

Substitute the given values and solve for x

$x+4=3x-8$

$3x-x=4+8$

$2x=12$

$x=6$

Find the value of ED

$ED=x+4$

substitute the value of x

$ED=6+4=10\ units$

Find the value of DB

Remember that

ED=DB

therefore

$DB=10\ units$

Find the value of EB

EB=ED+DB

$EB=10+10=20\ units$

5 0

3 years ago

Read 2 more answers

Wendy is standing 60 feet away from a tree. Her eyes are 5 feet above the ground. She sees a bird hovering above a tree. The ang

Gennadij [26K]

The bird is 17 feet above the tree.

Explanation:

We need to think of this in terms of right triangles. If Wendy is 60 feet from a tree, the base of the right triangle is 60 feet. The height of the tree is the height of the right triangle. The angle of elevation is the one from the ground at her feet to the top of the tree and then to the bird. Let's start with the top of the tree first.

She's 60 feet away, we have the angle of elevation as 25 degrees, and we are looking for the height of the tree. In regards to the angle, the base of 60 is adjacent, and the height of the tree is opposite. The tangent ratio is height / base.

Let x be the height of the tree.

So,

$tan (25) = \frac{x}{60}$