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Anastaziya [24]
3 years ago
11

PLS PLS. send me the answer for the first question with an explanation. due tmrw so quick.​

Mathematics
1 answer:
otez555 [7]3 years ago
6 0

Answer:

85 nails

Step-by-step explanation:

First, we need to calculate the volume of a single nail. It consists of a circular cylinder and hemispherical part.

The volume of the cylinder πr^2 • h. We are given the diameter of the cylinder (14 mm), so radius is half of that (r = 7 mm) and we are given the height (h = 20 mm).

So, the volume of the cylinder is:

V1 = π • 7^2 • 20

V1 = 3077.2 mm^3

Now for the volume of the hemisphere part. Its volume is half of the sphere:

V2 = (4/3 • πr^3) / 2

Diameter of the sphere is given and it is 21 mm, so the radius is 10.5 mm. So, the volume is:

V2 = (4/3 • π • 10.5^3) / 2

V2 = 2423.3 mm^3

So, the volume of the nail is V1 + V2 which is 5500.5 mm^3

Now let's convert volume of the metal used for making nails. It's given that it is 550.55 cm^3 which is 550550 mm^3.

It is also said that 15% of the volume is wasted, so we are left with 85% of the volume, which is 550550 • 0.85 and that equals to 467967.5 mm^3. So to find a number of nails made from this volume, we divide:

467967.5 / 5500.5 = 85 nails

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Archy [21]

Py +7 = 6y + qp

Solve the equation for y

To solve the equation for y we need to get y alone

Py +7 = 6y + qp

Subtract 6y from both sides

Py - 6y +7 = + qp

Subtract 7 from both sides

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Now factor out y

(P - 6)y = qp - 7

Divide by P - 6 from both sides

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Hello!

Answer:

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Step-by-step explanation:

Hope this helps!

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3 years ago
Find the value of y. Round your answers to the nearest tenth
ANTONII [103]

Answer:

y ≈ 4.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

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Please help me ASAP!!
choli [55]

Answer:

r = -4

Step-by-step explanation:

If M is the midpoint of DE, that would mean that the distance from M to D and M to E would be the same.

This creates the equation 1-8r=13-5r.

Now it's just simple algebra.

You add 8r to both sides, creating 1=13+3r. Then, you subtract 13 from both sides, getting 3r=-12. Dividing both sides by 3 and solving for r, you get r=-4.

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3 years ago
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