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Doss [256]
3 years ago
9

Find the slant height of the cone. The slant height is the distance from the apex, or tip, to the base along the cone’s lateral

surface. Show your work.

Mathematics
1 answer:
velikii [3]3 years ago
7 0

Answer:

Slant height = 2\sqrt{10} = 6.32 inches

Step-by-step explanation:

The slant height is the distance from the apex, or tip, to the base along the cone’s lateral surface (AC)

Diameter of base of cone is 4 in

Radius = diameter / 2 = 4/2 = 2 in

Hieght of the cone = 6 in

AB= 2  and BC = 6 , we need to find AC

ABC forms a right angle triangle, use pythagoren theorem

AC^2= AB^2 + BC^2

AC^2 = 2^2 + 6^2 = 4+ 36 = 40

TAke square root on both sides

AC= \sqrt{40} =2\sqrt{10}

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A taxi service offers a ride with an $5 surcharge and charges $0.50 per mile.
Butoxors [25]

Answer:

50 miles

Step-by-step explanation:

x = (30 - 5) / 0.50

<em>Subtract To Solve Parentheses</em>

x = 25 / 0.50

<em>Divide</em>

x = 50

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3 years ago
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A. The area of a circle is 113.1 ft to the 2nd power. What would the diameter have to be.
irina [24]
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3 0
3 years ago
Carlita has a swimming pool in her backyard that is rectangular with a length of 26 feet and a width of 14 feet. She wants to in
meriva

Lets solve the question,

Given dimensions are:

Length = 26 feet

Width = 14 feet

concrete walkway with width = c

After installing the concrete walkway dimensions of the walkway will be,

Length = 26 + 2c

Width = 14 + 2c

She wants to build a wooden deck around the pool with a concrete walkway of width = w

Thus the dimensions of the wooden deck around the pool will be,

Length = 26 + 2c + 2w

Width = 14 + 2c + 2w

Now the perimeter of the wooden deck will be,

Perimeter = 2(length + width)

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Therefore, perimeter of the wooden deck would be: 80 + 8c + 8w

Perimeter = (80 + 8c + 8w)

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6 0
2 years ago
A pharmacist has 40% and 60iodine solutions on hand. How many liters of each iodine solutions will be required to produce 4 lite
Schach [20]

A pharmacist has 40% and 80% of iodine solutions on hand. How many liters of each iodine solution will be required to produce 4 liters of a 50% iodine mixture?

.

Let x = liters of 40% iodine

then

4-x = liters of 80% iodine

Using algebra:

.40x + .80(4-x) = .50(4)

.40x + 3.20-.80x = 2

3.20-.40x = 2

x = 4 liters (40% iodine)

80% iodine:

4-x = 4-4 = 0 liters needed (80% iodine)

4 0
3 years ago
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