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Anastasy [175]
3 years ago
10

Find the area of the following shape:

Mathematics
1 answer:
amm18123 years ago
5 0

Answer:

30 cm

Step-by-step explanation:

the area is 1/2 base x height

so (1/2)x10 x 12

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A circular cylindrical container, open at the top, and having a capacity of 24pi cubic inches, is to be manufactured. If the cos
otez555 [7]

Answer: radius r = 2 inches

height h = 6 inches

Step-by-step explanation:

Given;

Volume V = 24πin3

Volume of a cylinder is given by

V = πr^2h

h = V/πr^2. ....1

Where, h = height and r = radius of cylinder

For the surface area of the cylinder with open top. we have,

S = 2πrh + πr^2

For the cost of materials used, let k represent the cost of materials used for the body of the cylinder.

Then, for the bottom will be 3k

Total cost will be represented by C, which gives

C = 2πrhk + 3πr^2k. .....2

Substituting eqn 1 to 2, we have;

C = 2πrVk/πr^2 + 3πr^2k

C = 2Vk/r + 3πr^2k

The material cost is minimum at dC/dr = 0

dC/dr = -2Vk/r^2 + 6πrk =0

6πrk = 2Vk/r^2

r^3 = 2V/6π

r = (2×24π/6π)^-3

r = (8)^-3

r = 2

Substituting r = 2 into eqn1

h = 24π/π(2^2)

h = 24/4 = 6

h = 6

5 0
3 years ago
A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If
zhenek [66]

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

6 0
3 years ago
Helpppppppp pleaseeee
Artist 52 [7]
1.9 or 1 9/10 

Glad I could help!
3 0
3 years ago
Graph the function<br> Need help ASAP plz
sattari [20]

Given:

The equation of a function is

y=(x-4)^2+1

To find:

The graph of the given function.

Solution:

The vertex form of a parabola is

y=(x-h)^2+k        ...(i)

Where, (h,k) is vertex of the parabola.

We have,

y=(x-4)^2+1         ...(ii)

From (i) and (ii), we get

h=4, k=1

The vertex of the parabola is (4,1).

Now, the table of values is

x             y

2            5

3            2

4             1

5            2

6            5

Plot these points on a coordinate plane and connect them by a free hand curve.

The graph of given function is shown below.

5 0
3 years ago
Which mathematical statement matches the vector operation shown in the geometric representation?
Sunny_sXe [5.5K]

Answer:

First Option v+w = u

Step-by-step explanation:

To graphically add two vectors a and b using the -tail and tip-method, you must draw the tail of b at the tip of the vector a. Then you must draw a line that goes from the tail of a to the tip of b. This line represents the sum of a + b.

In this problem, notice that the tail of the vector w is on the tip of the vector v. The line that joins the tail of v with the tip of w is u.

Therefore we can say that v + w = u.

The answer is the first option

7 0
3 years ago
Read 2 more answers
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