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maria [59]
3 years ago
13

How to get a 22 degree angle in a right angle triangle?

Mathematics
1 answer:
bagirrra123 [75]3 years ago
4 0
One way would be to draw  2 perpendicular lines  whose lengths are in the ration of the tangent of 22 degrees.

tan 22 = 0.4040

So draw a line AB  of length 10 inches, then using a compass construct a perpendicular line at point A Then measure a length of 4.04 inches along this line to point C. Then join CB.
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2. Katryn swims at a rate of 50 meters in 40 seconds. At this rate, how many meters
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2 years ago
A grid of 100 squares shows 7 shaded squares what decimal number is represented
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Describe one way that a cube and a cylinder are alike
Travka [436]
Both a cube and a cylinder are 3 dimensional objects
7 0
3 years ago
Please answer both questions and show all work with explanations :) thank you soo much...
torisob [31]

Answer:

1) 109 cm

2) 120 in²

Step-by-step explanation:

A rectangle is a quadrilateral with opposite sides the same length and four (4) right angles. The diagonal, together with two adjacent sides, forms a right triangle. The relationship between side lengths and the diagonal length is given by the Pythagorean theorem. If sides are "a" and "b" and the diagonal is "c", that theorem tells you ...

... c² = a² + b²

1) c² = (60 cm)² + (91 cm)² = 11881 cm²

... c = √11881 cm = 109 cm

2) The perimeter is double the sum of adjacent side lengths, so ...

... 2(a+b) = 46 in

... a + b = 23 in . . . . . divide by 2

The Pythagorean theorem tells you

... a² + b² = (17 in)²

Squaring the equation from the perimeter relation gives ...

... (a + b)² = (23 in)² = a² + 2ab + b²

Subtracting a² + b², we have

... (a² +2ab +b²) - (a² + b²) = (23 in)² -(17 in)²

... 2ab = (529 -289) in² = 240 in² . . . . . simplify

... 240 in²/2 = ab = 120 in² . . . . . area is the product of length and width

_____

We could solve the two equations for a and b to find that there are two possible solutions: (a, b) = (8, 15) or (15, 8). Either way, ab = 8·15 = 120.

7 0
2 years ago
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