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3 years ago

Correct position in the answer box. Releast your

Mathematics

1 answer:

Aloiza [94]3 years ago

5 0

The equation of the line is y=6x+37

Step-by-step explanation:

You can write the equation using the slope intercept form techniques which is y=mx+c where m is the slope of the line and cis they intercept constant.

Given the point (-6,1) and slope m=6then

Δy/Δx =m

$y-1/x--6 = 6\\\\y-1/x+6=6\\\\\\y-1=6(x+6)\\\\\\y-1=6x+36\\\\\\y=6x+36+1\\\\y=6x+37$

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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

4. An equilateral triangle has a perimeter of 60 cm. Find the exact<br> altitude of the triangle.

taurus [48]

Step-by-step explanation:

<h2>GIVEN:-</h2>

The Perimeter of Equilateral triangle = 60cm

<h2>UNDERSTANDING THE CONCEPT:-</h2>

According to the question,

To find the height of the triangle,

Perimeter of Equilateral triangle = Area of Equilateral triangle.

<h2>FORMULA USED:-</h2>

$60 = \frac{ \sqrt{3} }{4} a {}^{2} \\$

<h2>REQUIRED ANSWER:-</h2>

$60 \times 4 = \sqrt{3a {}^{2} }$

$a {}^{2} = 240 \sqrt{3} \\$

$a = 120 \sqrt{3} cm$

<h3>SO, The Exact height of the triangle is 120√3cm.</h3>

5 0

2 years ago

In a certain game of chance, your chances of winning are 0.2. if you play the game five times and outcomes are independent, the

ikadub [295]

<span>Winning Probablity = 0.2, hence Losing Probability = 0.8 Probablity of winning atmost one time, that means win one and lose four times or lose all the times. So p(W1 or W0) = p (W1) + p(W0) Winning once W1 is equal to L4, winning zero times is losing 5 times. p(W1) = p(W1&L4) and this happens 5 times; p(W0) = p(L5); p (W1) + p(W0) = p(L4) + p(L5) p(L4) + p(L5) = (5 x 0.2 x 0.8^4) + (0.8^5) => 0.8^4 + 0.8^5 p(W1 or W0) = 0.4096 + 0.32768 = 0.7373</span>

8 0

3 years ago

Joshua's goal is to sell more than 20 items at a farmers' market. So far, he has sold 6 items. Each of his customers buys 2 item

amid [387]

Answer:

More than 7

Step-by-step explanation:

Given that:

Joshua's goal is to sell more than 20 items at a farmer's market.

Number of items already sold = 6

So, number of more items to be sold > Total number of items to be sold - Number of items already sold > 20 - 6 > 14

Given that each customer buys 2 items.