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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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Evaluate the expression for the value of x=-3. (If not possible, state the reason)
kolezko [41]
2(-3)-2
-6-2
-6+2
-4
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3 0
4 years ago
What is the solution of the linear-quadratic system of equations?<br><br> {y=x^2+5x−3<br> {y-x=2
Rina8888 [55]

Answer: the above stated equation is a quadratic equation

Step-by-step explanation:

Given the following equations

y = x^2 + 5x - 3....equation 1

y-x = 2

y = x + 2........equation 2

Let equation 1 equal equation 2

x^2 + 5x -3 = x + 2

Bringing the equation to one side and equating to zero

X^2 +5x - 3 -x -2 = 0

X2 + 5x -x -3 -2 = 0

X^2 + 4x -5

Solving the aquatic equation

(x + 5)(x -1) = 0

X + 5 = 0

X1 = -5

X- 1 = 0

X2 = 1

To prove:

Substitute the values for x1and x2 into the equation x^2 + 4x - 5 = 0

3 0
3 years ago
Henry's calculator is 2 1⁄4 inches wide and 5 1⁄4 inches long. What is the area of the calculator?
bazaltina [42]

Answer:

11.8125 in²

Step-by-step explanation:

Area = Width × Height

Area = 2.25in × 5.25in = 11.8125 in²

_____________________

6 0
3 years ago
I need help and explain please
Otrada [13]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
-10=2x-4x how do you simplify this
ozzi

The given formula is,

-10=2x-4x

Now solving for x,

\begin{gathered} -10=-2x \\ x=\frac{-10}{-2}=5 \end{gathered}

5 0
1 year ago
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