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andriy [413]
3 years ago
7

A water trough is 9 m long and has a cross-section in the shape of an isosceles trapezoid that is 20 cm wide at the bottom, 70 c

m wide at the top, and has height 50 cm. If the trough is being filled with water at the rate of 0.2 m3/min how fast is the water level rising when the water is 20 cm deep?
Mathematics
1 answer:
ella [17]3 years ago
7 0

Answer:

dv = surface area * dh

so

dv/dt = surface area * dh/dt

width at surface = 40 + (80-40)(30/40)

= 40 + 30 = 70 cm = 0.70 m

so

surface area = 9 * .7 = 6.3 m^2

so

.3 m^3/min = 6.3 m^2 * dh/dt

and

dh/dt = .047 meters/min or 4.7 cm/min

Step-by-step explanation:

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Can someone help me with this question please..
MArishka [77]

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Step-by-step explanation:

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3 years ago
Can I get help on this one
ivann1987 [24]

Answer:

150

Step-by-step explanation:

The angle as a whole is 180 degrees. 150 and 30 are supplementary angles because they add up to equal 180.

5 0
3 years ago
David needs 36 gallons of punch for a party and has two different coolers to carry it in. the bigger cooler is 5 times as large
serg [7]

The little cooler can contain = 6 gallons.

The large cooler can contain is = 30 gallons.

<h3>What is volume surface area?</h3>

Any particular object's surface area is the space that the object's surface takes up. Volume, however, refers to the quantity of space a thing has. Different shapes and sizes exist in geometry, including spheres, cubes, cuboid shapes, cones, and cylinders, among others. Both the surface area and the volume are unique to each shape.

<h3>According to the given information:</h3>

The number of gallons that a small cooler can hold is: x gallons.

and a larger cooler can hold: 5x the number of gallons.

(Because it was noted:

In comparison to the smaller cooler, the larger cooler is five times bigger.

Additionally, a party requires 36 gallons of punch in total.

The result is:

x+5x=36

i.e. 6x=36

Divide both sides by 6, and the result is:

x=6

In light of this, the little cooler can contain 6 gallons.

and how many gallons the large cooler can contain is: 5 x 6 = 30 gallons.

To know more about volume surface area visit:

brainly.com/question/12446369

#SPJ4

6 0
1 year ago
An elementary school is offering 3 language classes: one in Spanish, one in French,and one in German. The classes are open to an
Alona [7]

Answer:

A. 0.5

B. 0.32

C. 0.75

Step-by-step explanation:

There are

  • 28 students in the Spanish class,
  • 26 in the French class,
  • 16 in the German class,
  • 12 students that are in both Spanish and French,
  • 4 that are in both Spanish and German,
  • 6 that are in both French and German,
  • 2 students taking all 3 classes.

So,

  • 2 students taking all 3 classes,
  • 6 - 2 = 4 students are in French and German, bu are not in Spanish,
  • 4 - 2 = 2 students are in Spanish and German, but are not in French,
  • 12 - 2 = 10 students are in Spanish and French but are not in German,
  • 16 - 2 - 4 - 2 = 8 students are only in German,
  • 26 - 2 - 4 - 10 = 10 students are only in French,
  • 28 - 2 - 2 - 10 = 14 students are only in Spanish.

In total, there are

2 + 4 + 2 + 10 + 8 + 10 +14 = 50 students.

The classes are open to any of the 100 students in the school, so

100 - 50 = 50 students are not in any of the languages classes.

A. If a student is chosen randomly, the probability that he or she is not in any of the language classes is

\dfrac{50}{100} =0.5

B. If a student is chosen randomly,  the probability that he or she is taking exactly one language class is

\dfrac{8+10+14}{100}=0.32

C. If 2 students are chosen randomly,  the probability that both are not taking any language classes is

0.5\cdot 0.5=0.25

So,  the probability that at least 1 is taking a language class is

1-0.25=0.75

3 0
3 years ago
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