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eimsori [14]
3 years ago
6

A milk tank at a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of its

length, and the height is 4/5 of its width. How many cubic feet of milk can the tank hold? How many pounds of milk can it hold if 1 cubic foot of milk weighs 66.5 lbs?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0

Answer:

48.02 or 48 1/50 cubic feet and 3193.33 or 3193 33/100 LB ( I do rsm too )

Step-by-step explanation:

The width is 3.5

The length is 3.5*7/5 which is 4.9

The height is 4/5 of 3.5 which is 2.8

So, the volume in cubic feet is 3.5*4.9*2.8 which is 48.02 or 48 1/50

So, the amount in Lb is 66.5*48.02 which is 3193.33 or 3193 33/100

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Nikitich [7]
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6 0
3 years ago
Read 2 more answers
Please help me with this question!
Alina [70]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°, thus

∠1 = 180° - (72 + 57)° = 180° - 129° = 51°

The right angle at the left vertex is composed of 72° and ∠2, thus

∠2 = 90° - 72° = 18°

57° and ∠3 form a straight angle and are supplementary, thus

∠3 = 180° - 57° = 123°

∠4 = 180° - (∠2 + ∠3 ) ← sum of angles in a triangle

∠4 = 180° - (18 + 123)° = 180° - 141° = 39°

4 0
3 years ago
Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 90.5 N , Jill pul
Radda [10]

Answer:

Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.

Step-by-step explanation:

We find the components of the forces in x-y-z

Force of  Jack in z   =F₁z=90.5 N in direction (+z)

Force of  Jill  in x     = F₂x= -82.3*cos45°= - 58.19 N (-x)

Force of  Jill  in y     =F₂y=-82.3*sin45°=   + 58.19 N (+y)

Force of  Jane  in x  =F₃x=125*cos45°=   + 88.4 N (+x)

Force of  Jane  in y   =F₃y=125*sin45°=   + 88.4  N (+y)

Calculating of the components of the net force the people exert on the donkey.

Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)

Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)

Fnz =F₁z=90.5 N  (+z)

Calculating of the magnitude of the net force the people exert on the donkey.

F_{n} =\sqrt{(F_{nx})^{2}+(F_{ny}) ^{2} +(F_{nz}) ^{2}   }

F_{n} =\sqrt{(30.2)^{2}+( 146.59) ^{2} +(90.5) ^{2}   }

F_{n} = 174.9 N

7 0
3 years ago
I need help on finding the area of a parallelogram
Hoochie [10]

Answer:

1. 540 sq. ft.   2. 7,200 sq. m.   3. 276 sq. yd.   4. 6,000 sq. mm.

Step-by-step explanation:

You find the area of a parallelogram by doing the same as you would a rectangle, multiplying length by width. (If you imagine slicing off the triangle shape on the end of all of these and putting it on the other side, it will always make a rectangle.)

6 0
3 years ago
A bird (b) is spotted flying 900 feet from an observer. the observer (o) also spots the top of a tower (t) at a height of 200 fe
Svetach [21]

Angle of depression = 12.52°

The right angle triangle formed has a height of 200 ft and a base of 900 ft.

The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.

Using tangential ratio we can find the angle of depression. Therefore,

Let

x = angle of depression

tan x = opposite/adjacent

opposite = 200 ft

adjacent = 900 ft

tan x = 200/900

tan x = 2/9

x = tan⁻¹ 2/9

x = tan⁻¹ 0.222

x = 12.5166739144

x = 12.52°

To learn more about angle of depression from the given link

brainly.com/question/16772926

#SPJ4

3 0
2 years ago
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