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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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What is 7/5 turned into a decimal
cestrela7 [59]
7/5 is converted to 1.4
8 0
3 years ago
Find the value of $x$ so that the ratios are equivalent.<br><br> x:5/2 and 8:10
Scrat [10]

Answer:

x=2

Step-by-step explanation:

Here what we need is that the ratios be equal, which is:

x:(5/2) = 8:10 or, what is the same:

x/(5/2) = 8/10

Lets pick the left term x/(5/2) and multiply both numerator and denominator by 2 to eliminate the fraction on the denominator:

2x/2(5/2) = 2x/5

Now, we would like to make a 10 appear on the denominator. As we already have a five we need to multiply numerator and denominator by the num that, multiplied by 5 gives as 10, this is 2:

2(2x)/2(5) = 4x / 10

So, we transformed x/(5/2)  in 4x/10, and both are the same, so we can replace it on our first equation:

4x/10 = 8/10

As both denominators are equal, we can concentrate only in numerators:

4x = 8

Dividing both sides by 4:

x = 2

So, for x=2 both ratios are equivalents.

4 0
3 years ago
Find the area of the polygon​
Evgesh-ka [11]

Answer:

784m^2

Step-by-step explanation:

is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of ​​the rectangle (b * h).

40 * 20 = 800m ^ 2, then we find the area of ​​the right triangle

1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.

we remove the area of ​​the triangle from the rectangle and we have the area of ​​the figure: 800 - 16 = 784m^2

3 0
2 years ago
Factor by grouping.<br> 5w+2w + 25w + 10
masha68 [24]

Answer:

32w+10

Step-by-step explanation:

add all the w's then just add 10

7 0
3 years ago
Un edificio proyecta una sombra de 7.5m.mientras que un arbol que mide 1.6 m de altura proyecta una sombra 1.85 M¿Cual es la alt
sattari [20]

Answer: The height of the building is 6.49 meters.

Step-by-step explanation:

This can be translated to:

"A building projects a 7.5 m shadow, while a tree with a height of 1.6 m projects a shadow of 1.85 m.

Which is the height of the building?"

We can conclude that the ratio between the projected shadow is and the actual height is constant for both objects, this means that if H is the height of the building, we need to have:

(height of the building)/(shadow of the building) = (height of the tree)/(shadow of the tree)

H/7.5m = 1.6m/1.85m

H = (1.6m/1.85m)*7.5m = 6.49m

The height of the building is 6.49 meters.

5 0
3 years ago
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