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lukranit [14]
3 years ago
13

Quadrilateral A B C D, the measure of, angle A, angle B, angle C, angle D are a ratio of 1:2:3:4, respectively. Find the measure

of the four angles. (Sketch)
Mathematics
1 answer:
Svetach [21]3 years ago
8 0

Answer:

Step-by-step explanation:

The angles of a quadrilateral have to add up to equal 360.  That means that

1x + 2x + 3x + 4x = 360 and

10x = 360 so

x = 36.  Then

2x = 72 and

3x = 108 and

4x = 144

Angle A and angle D are opposite angles, as are angles B and C.  This is because opposite angles are supplementary.

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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
1. A swordfish can swim at a rate of 60 miles per hour. How many feet per hour is this?
Ronch [10]

Answer:

rate =  316800 feet  miles per hour

unit = feet per hour

Step-by-step explanation:

swimming rate of fish = 60 miles per hour

1 mile = 5280 feet

60 miles = 60*5280 feet = 316800 feet

swimming rate of fish = 60 miles per hour

substituting 60 miles with with its equivalent in feet we have

swimming rate of fish =  316800 feet  miles per hour

answer

rate =  316800 feet  miles per hour

unit = feet per hour

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Answer:

24

Step-by-step explanation:

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Answer:

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