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r-ruslan [8.4K]
3 years ago
5

A triangle is in the shape of a 30-60-90 right triangle. If the hypotenuse is 11 cm long, find the length of the shorter leg.

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0
A 30 60 90 triangle has its shorter side equal to one half the hypotenuse.
So, if hypotenuse = 11 cm then shorter side = 5.5.

Source:
http://www.1728.org/trig2.htm


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One angle of an isosceles triangle measures 138°. Which other angles could be in that isosceles triangle?
BartSMP [9]

Answer:

2 21 degree angles

Step-by-step explanation:

An isosoles triangle has two congruent angles and every triangle's sum of interior angles equals 180 degrees. 138*2>180, so the 138 degree angle cannot be congruent to any of the other angles. Therefore:

180=138+2x

42=2x

21 degrees=x

3 0
3 years ago
Can someone help me with this math work and please explain why the answer is what it is
Anettt [7]

Answer: 58unit²

Step-by-step explanation:

We will take 1 square as 1 unit

We will count the number of squares in in this figure.

Total squares = 58

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4 0
3 years ago
Find the coordinates of point z such that the ratio of fz to zd is 5;3
Vilka [71]

The point such that the coordinate is 5;3 is (14, 0)

<h3>Midpoint of coordinates using ratio</h3>

The formula for finding the midpoint of a line in the ratio m:n is expressed as:

M(x, y) = {(mx₁+nx₂)/2, (my₁+ny₂)/2,}

Given the coordinate of G and D on the line as G(5, 0) and D(1,0)

Since there is no y-axis, hence;

x = 5(5)+1(3)/2

x = 25+3/2

x = 28/2

x =14

Hence the point such that the ratio is 5;3 is (14, 0)

Learn more on midpoint of a line here: brainly.com/question/5566419

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8 0
1 year ago
If A and B are independent events with P( A) = 0.60 and P( A| B) = 0.60, then P( B) is: a. 0.60 b. cannot be determined with the
Simora [160]

Answer:

<h2>B. cannot be determined</h2>

Step-by-step explanation:

For two events A and B to be independent, it means they can occur at the same time i.e the occurrence of one does not affect the other occurring. It is represented as P(A∩B) = P(A)P(B)

Given P( A) = 0.60 and P( A| B) = 0.60, to find P(B), we will use the formula for the conditional probability P( A| B) = P(A∩B) /P(B)

P( A| B) = P(A)P(B) /P(B)

P( A| B) = P(A)

Since  P( A| B) = 0.60, therefore P(A) is also equal to 0.60 and P(B) cannot be determined since they cancelled out already

7 0
3 years ago
A cylinder has a diameter of 14 ft and a height of 10 ft.
enyata [817]
The answer is 140 feet because 10×14 is 140
3 0
3 years ago
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