Answer:
KM=9
JK= 12.69
Angle JKM=45 degrees
ML=18.97
MKL=60 degrees
Angle L=30 degrees
Step-by-step explanation:
Triangle JKM is a 45, 45, 90 degree triangle so that means both side lengths are equal and the hypotenuse is square root of 2 times a side length. This means, KM will be equal to 9 and JK will be equal to 9 times square root of 2. For triangle KML, you know that the triangle is a 30,60,90 degree triangle. This means the hypotenuse is a^2+b^2=c^2 where c is the hypotenuse. Since you know that a is 9 and c is 21, plug them into the equation to get 81+b^2=441. Subtract 81 from both sides to isolate b^2 to get 360. b^2 = 360. Then find the square root of 360 which is about 18.97. Therefore, b or ML is equal to 18.97. Also, because we know that MKL is a 30, 60, 90 triangle, we know that angle MKL is equal to 60 degrees. Because we know the angles of MKL(60) and KML (90), we do 180-90-60 to find angle L. Simplify 180-90-60 to 30 and that means that angle L is equal to 30 degrees. Since we know that JKM is a 45, 45, 90 degree triangle, we know that JKM is equal to 45 degrees. Therefore, KM is equal to 9, JK is equal to 9 times square root of 2 or 9 times 1.41 which is 12.69. Angle JKM is 45 degrees, ML is 18.97, angle MKL is 60 degrees, and angle L is 30 degrees.
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Answer:
when you distribute you will get -3g+6 because a negative times a negative is a positive.
Step-by-step explanation:
hope this helps
Answer: 
Step-by-step explanation:
You need to use the following formula for calculate the area of a square:
Where "s" is the lenght of any side of the square.
You know that the area of a mural is 
. Then, you can substitute this area into the formula and solve for "s", in order to find the side lenght of the mural.
Therefore, this is:
Answer:
its a variety of selection techniques in which sample members are selected by chance
Step-by-step explanation:
Since this is a problem in exponential growth/decay, y = ab^x is the formula that will be used to solve this problem.
The initial value, "a", is the value you start out with and in this case, it is $2000.
The growth/decay factor is what "b" represents, and it is 4%. We need to change the percentage into a decimal, so we will take the percent symbol, change it into a decimal, and move it two places to the left. This is make it 0.04. The problem also mentions interest, implying an exponential growth. Therefore, you will add 0.04 by 1: 1+0.04 = 1.04.
The "x" represents an amount of time. It is 5 years. The equation should be written like this:
y = 2000(1.04)^5
y = 2433.30. When rounded to the nearest dollar, it is $2433.
