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shepuryov [24]
2 years ago
10

Find the value of x.

Mathematics
1 answer:
Dmitry [639]2 years ago
5 0

Answer:

25

Step-by-step explanation:

x+7 = 32 (similar triangles)

x = 25

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A roof is shaped like a cone with a diameter of 12 feet. One bundle of shingles covers 32 square feet. How many bundles should y
max2010maxim [7]

Answer:

113.04 (6 + g) / 32

Step-by-step explanation:

We know that the total area of a cone is:

A = Pi * r * (r + g), let g be the generatrix.

The radius is half the diameter, therefore, 12/2 = 6 feet.

Replacing:

A = 3.14 * (6) * (6 + g) = 113.04 (6 + g) square feet.

To know the total number of tiles package, we must divide the area of the cone by the area occupied by a package. So:

113.04 (6 + g) / 32

The problem statement does not have a height or the value of the generatrix therefore it is not possible to calculate the number of packages.

3 0
3 years ago
How to find (a) and (b)?​
rodikova [14]

Answer:

A) Gradient = -3

B) 3y - x = 7

Step-by-step explanation:

The curve has the equation;

y = x³ - 6x² + 9x + 1

We are given the pints it passes through as;

A(2,3) and P(3, 1)

A) to find the gradient, we will find the derivative of the given equation.

Thus;

Gradient = y' = 3x² - 12x + 9

At point A, x = 2. Thus;

Gradient = 3(2²) - 12(2) + 9

Gradient = 12 - 24 + 9

Gradient = -3

B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3

Thus, equation of the normal to the curve at point A will be;

(y - 3) = ⅓(x - 2)

Multiply both sides by 3 to get;

3y - 9 = x - 2

3y - x = 9 - 2

3y - x = 7

3 0
3 years ago
50 people entered a fishing contest over 3 days to see who could catch the most fish.
tamaranim1 [39]

Answer:

5,175 fish

Step-by-step explanation:

To figure out the total you have to add all the fish together.

Day 1: 750 + 300 + 250 = 1,300 fish were caught on Day 1

Day 2: 720 + 455 + 400 + 50 = 1,625 were caught on Day 2

Day 3: 2,250 were caught on Day 3

Then, add those three numbers

1,300 + 1,625 + 2,250 = 5,175

6 0
3 years ago
Read 2 more answers
My question is down there
Rzqust [24]

Answer:

are 10 hours

Step-by-step explanation:

The reason its 10 hours is because on the lower right of the document it says 10.

5 0
3 years ago
Given g(x) = -x-2, find g(0)
Reika [66]

Answer:

g(0)=-2

Step-by-step explanation:

So we have the function:

g(x)=-x-2

And we want to find g(0).

To do so, substitute 0 into x:

g(0)=-(0)-2

Multiply:

g(0)=-2

So, the value of g(0) is -2.

And we're done!

3 0
3 years ago
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