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kiruha [24]
3 years ago
8

What is the exact volume of the prism below using the unit circle values?

Mathematics
2 answers:
irinina [24]3 years ago
8 0

Answer:

15cmerote

Step-by-step explanation:

Leni [432]3 years ago
5 0

Answer:

V=\frac{45\sqrt{3} }{2}cm^{2}

Step-by-step explanation:

Volume= Area*height

height: h=10cm

Area of isosceles triangle:

A=\frac{9\sqrt{3} }{4} cm^{2}

Volume:

V=\frac{9\sqrt{3} }{4}*10\\\\V=\frac{90\sqrt{3} }{4}\\\\V=\frac{45\sqrt{3} }{2}cm^{2}

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A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Expre
g100num [7]

Answer:

Hydrostatic Force = 35.28KN

Step-by-step explanation:

To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.

Formula for a thin horizontal slice of the triangle the force is;

δF=ρgxwδx

Where w is width of triangle; ρ is density of water and g is acceleration due to gravity

At depth x, the width of the triangle is w=2/3x.

Thus, F = (3,0)∫)ρgxwδx

=(2/3)ρg[(3,0)∫)x²δx]

= integrating, we have;

F = (2/3)ρg[(3³/3) - (0³/3)]

F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN

6 0
4 years ago
A container holds four gallons of lemonade a large lemonade contains 16 oz how many large Lemonade's Cuisine Restaurant sell bef
melomori [17]

Answer:

32 Large lemonade

Step-by-step explanation:

A container holds four gallons of lemonade a large lemonade contains 16 oz how many large Lemonade's Cuisine Restaurant sell before they run out of lemonade

1 gallon = 128 oz

Hence, 4 gallons = x

x = 4 × 128 0z

x = 512 oz of Lemonade

If

1 large lemonade = 16 oz

16 oz = 1 large lemonade

512 oz = x

x = 512/16

x = 32 large lemonades

The restaurant will.sell 32 large lemonade

8 0
3 years ago
If you were having a party and you expect each guest to eat 0.25 pounds of meat, how many pounds of meat should you buy if you e
kolbaska11 [484]

Answer:

7.5 pounds

Step-by-step explanation:

30/4=7.5 :)

6 0
3 years ago
Find the surface area of the cube
andre [41]

Answer:

150

Step-by-step explanation:

Knowing that a cube has 6 faces which all are equal.

Thus, Multiply the area of one face by the number of faces to get the total surface area of the cube.

Since, it given that one face is 5 cm

Then, we also must know the formula for area of a cube

Which is:

Area=6a^2

Thus,

Area=6a^2

Area=6(5)^2

Area=6(25)

Area=150

<u><em>Kavinsky</em></u>

4 0
2 years ago
How do you find the slope of ordered pairs
DerKrebs [107]

Answer:

the slope is defined as the change in price divided by the change in quantity supplied between two points (i.e. the two ordered pairs). we can use the following formula to calculate it: m = (y2 – y1)/(x2 – x1). in the case of my example, the two ordered pairs are (2, 500) and (1, 250)

Step-by-step explanation:

7 0
3 years ago
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