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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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Explain the steps to solve for g in the equation -1/3g+5=2
Triss [41]
/ = divided -1/3(1) = -3 + 5 = 2 (g = 1)
4 0
3 years ago
Read 2 more answers
What are the features of the parabola modeled by the equation f(x) = x2 - 114x ?
notsponge [240]

Answer:

Answers are in bold type

Step-by-step explanation:

f(x) = x^{2} -144x

The parabola opens up, so has a minimum at the vertex.

Let (h, k) be the vertex

h = -b/2a = - (-144)/2(1) = 57

k = 57^2 - 144(57) = 3249 - 6498 = -3249

Therefore, the vertex is (57, -3249)

The minimum value is -3249

The domain is the set of real numbers.  

The  range = {y | y ≥ -3249}

The function decreases when -∞ < x < 57  and increases when 57 > x > ∞

The x - intercepts:  x^{2} -144x = 0

                                x(x - 114x) = 0

                                x = 0 or x = 114

x-intercepts are (0, 0) and (0, 114)

When x = 0, then we get the y-intercept.  So, 0^2 - 114(0) = 0

y-intercept is (0, 0)

3 0
3 years ago
Answer this correctly I’ll give brainalist + 10 points
Ganezh [65]

the sum of supplementary angles is 180 degree

therefore

x +2x = 180°

3x = 180

X = 180/3 = 60°

the value of X is 60°

5 0
2 years ago
Solve -1/3w -3/5 = 1/5w
Dmitrij [34]

Answer:

w= -9/8

Step-by-step explanation:

-1/3w -3/5 = 1/5w

+1/3w            +1/3 w

-3/5=1/5w+1/3w

Make common denominators to combine like terms of the right

-3/5=1/5w+1/3w

         *3       *5

-3/5=3/15w+5/15w

-3/5=8/15w

multiply both sides by the reciprocal of 8/15 which is 15/8

-3/5*15/8=8/15w*15/8

\frac{-3}{5}*\frac{15}{8} ----> cross reduce 5 in the denominator becomes 1 and 15 in the numerator becomes 3

\frac{-3}{1}*\frac{3}{8} -----> now multiply across

w= -9/8

7 0
3 years ago
Read 2 more answers
Asking for help on this again because i reallu need it!!
shutvik [7]

Answer:

5. 5.8

6. 6

7. 6

Step-by-step explanation:

5. mean - add all values and divide by the number of values

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10 = 75

mean = 75/13 = 5.8

6. median - middle value of values written in ascending order.

2 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 7 + 9 + 10

median = 6

7. mode - value that occurs most times

mode = 6

7 0
1 year ago
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