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Luda [366]
3 years ago
5

What is the surface area of the right cone below?

Mathematics
1 answer:
maksim [4K]3 years ago
6 0

Answer:

SA=54\pi\ units^2

Step-by-step explanation:

we know that

The surface area of the cone is given by the formula

SA=\pi r^{2}+\pi rl

where

r is the radius of the base

l is the slant height

we have

r=3\ units\\l=15\ units

substitute

SA=\pi (3)^{2}+\pi (3)(15)

SA=54\pi\ units^2

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A new aircraft control system is being designed that must be 98.0​% reliable. This system consists of two components in series.
sweet [91]

Answer:

98.99%

Step-by-step explanation:

The combined reliability of both components must be 98%. Given that both components must be functional and have the same reliability 'r', the minimum value of 'r' that meets the system requirements is given by:

0.98 = r^2\\r=0.9899=98.99\%

The level of reliability required for each component is 98.99%.

6 0
3 years ago
What type of system is the following set of equations?
iVinArrow [24]
-3x+y=-2 \\
y-4=-6x \ \ \ |\times (-1) \\ \\
-3x+y=-2 \\
\underline{-y+4=6x} \\
-3x+y-y+4=6x-2 \\
-3x+4=6x-2 \\
-3x-6x=-2-4 \\
-9x=-6 \\
x=\frac{-6}{-9} \\
x=\frac{2}{3} \\ \\
y-4=-6 \times \frac{2}{3} \\
y-4=-4 \\
y=-4+4 \\
y=0 \\ \\
(x,y)=(\frac{2}{3},0)

The system has one solution so it's A. consistent and independent.
7 0
3 years ago
What is the graph of f(x)=x^2-2x+3
Neko [114]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f(x)=x^{2}-2x+3

This is the equation of a vertical parabola open upwards

The vertex is a minimum

The vertex is the point (1,2)

The y-intercept is the point (0,3)

The function does not have x-intercepts

see the attached figure

7 0
3 years ago
Five to the power of five (16 power of 2 times 5 to the power of 3)power 3
11Alexandr11 [23.1K]

Answer:

1.024x10^17

Step-by-step explanation:

5^5(16^2x5^3)^3

find the 5^5

3125(16^2x5^3)^3

distribute the power of 3 into the parentheses

3125(16^6x5^9)

multiply

3125(16777216x1953125)

1.024x10^17

8 0
3 years ago
The curved urface area of a cone i 140π cm2. What will be the radiu of a cone whoe lant height i 5 cm
VashaNatasha [74]

The radius of a cone with a curved surface area of 140π cm² and a slant height of 5 cm will be 28 cm.

<h3>What is curved surface area?</h3>

The region with just curved surfaces, leaving the circular top and base, is referred to as the curved surface area. Total Surface Area is the combined area of the bases and the curved surface. The measurement of a solid's curved surface area is its outer area, which excludes the top and bottom extensions. Surface area of the cylinder that is curved: A right circular cylinder is the solid that results when a rectangle circles around one side and makes a full revolution. The curved surface area of a cylinder (CSA) is also known as the lateral surface area and is defined as the area of the curved surface of any given cylinder having a base radius "r" and height "h".

Here,

Curved surface area of cone=πrl

=140π

l=5 cm

140π=πr*5

r=140/5

r=28 cm

The radius of cone that has 5 cm as slant height and 140π cm² as the curved surface area will be 28 cm.

To know more about curved surface area,

brainly.com/question/1037971

#SPJ4

7 0
1 year ago
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