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xxTIMURxx [149]
3 years ago
12

A cone has a base that is a shape of a circle. The length across is 16 feet. The height is 8 feet and the slant height is 10 fee

t. What is the lateral area of the cone using 3 for pi
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

The answer to your question is Surface area = 432  ft²

Step-by-step explanation:

Data

diameter = 16 ft

height = 8 ft

slant height = 10 ft

pi = 3

Process

1.- Write the formula to calculate the surface area

Surface area = pi x radius x slant height + pi x radius²

2.- Substitution

Surface area = (3 x 16/2 x 10) + (3 x (16/2)²)

-Simplification

Surface area = 240 + 192

-Result

Surface area = 432  ft²

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Katie said,"Negative numbers are integers."What was her error?
rodikova [14]
Integer means a whole number , a number that is not fraction
Katie did not specifically said what numbers , the numbers can be fraction and it would not be called integer so that is Katie's error
4 0
3 years ago
I need help plsssssssssssssssssssssss
Slav-nsk [51]

Answer:

7x + 34 = 90

-34          -34

7x = 56

Divide by 7 on both sides:

X = 8 degrees

A right angle equals 90 degrees so that must mean angle 7x + 34 must equal to 90 so we solve for x.

A triangle equals = 180 degrees

A quadrilateral equals = 360 degrees

A right angle equals = 90 degrees

A straight line equals = 180 degrees

8 0
3 years ago
Read 2 more answers
A market research team compiled the following discrete probability distribution, where X represents the number of automobiles ow
rodikova [14]

Answer:

The standard deviation of X is 0.7

Step-by-step explanation:

We are given the following distribution:

    x:     0        1         2       3    

P(x):    0.3     0.5     0.2     0.4

We have to find the standard deviation of X.

Formula:

E(x) = \displaystyle\sum x_iP(x_i)\\\\E(x) =0(0.3) + 1(0.5) + 2(0.2) + 3(0.4)\\\\E(x) = 2.1\\\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\\\E(x^2) =0(0.3) + 1(0.5) + 4(0.2) + 9(0.4)\\\\E(x^2) = 4.9\\\\Var(x) = E(x^2) - (E(x))^2 = 4.9-(2.1)^2 = 0.49\\\\\sigma(x) = \sqrt{Var(x)} =\sqrt{0.49} = 0.7

Thus, the standard deviation of X is 0.7

6 0
3 years ago
10 small and 8 large cost $192. 20 small and 1 large cost $99. What is cost of a small
seraphim [82]

Answer:

Step-by-step explanation:

small=s,    s=3.99

large=l,       l=19.20

10s+8l=192.20

20s+l=99

we can see that in the second equation, 20s+l=99

l=99-20s

lets replace l in the first equation

10s+8(99-20s)=192.20

10s+792-160s=192.20

-150s=-792+192.20

150s=599.80

s=3.99

l=99-20(3.99)=99-79.80=19.20

7 0
2 years ago
Read 2 more answers
2. A piece of string 42 centimeters long is cut into 2 unequal pieces. The longer
Vaselesa [24]

Answer: 28 cm

Step-by-step explanation:

x - the length of the shorter piece

2x - the length of the longer piece

Together they are 42 cm long.

Compose te equation:

2x + x = 42

3x = 42

x = 14 cm

The shorter piece is 14 cm, the longer piece is twice longer, 2x, or 2( 14 ).

Two times longer than 14 is 28. The longer piece is 28 cm.

4 0
3 years ago
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