4. To determine if a triangle is a right triangle, given that you know the length of its sides, you have to check if its lengths follow the Pythagorean theorem.
This theorem states that the square of the hypothenuse (c) is equal to the sum of the squares of the legs of the triangle (a and b), following the expression:
The triangle is:
We have to check that a²+ b² is equal to c².
The square of the hypothenuse is:
The sum of the squares of the legs of the triangle is:
As you can see, the sum of the squares of the legs of the triangle is 100, which is the same as the square of the hypothenuse. The triangle follows the Pythagorean theorem and can be considered a right triangle.
Step-by-step explanation:
1)
2) the same value of the denominator of the fractions.
3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.
Megan's answer is correct.
4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).
5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.
6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.
7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.
This is an exponential decay problem.
Using the equation Y = a *(1-rate)^time
where Y is the future value given as 12,000 and a is the starting value given as 13,000.
The rate is also given as 5%.
The equation becomes:
12,000 = 13,000(1-0.05)^x
12,000 = 13,000(0.95)^x
Divide each side by 13000:
12000/13000 = 0.95^x/13000
12/13 = 0.95^x
Use the natural log function:
x = ln(12/13) / ln(0.95)
x = 1.56 years. ( this will equal 12,000
Round to 2 years it will be less than 12000.
Answer : 81 because it is the only one that is not a multiple of 4
Step-by-step explanation:
Answer:
Speed = 20 m/s
Step-by-step explanation:
The formula to find the speed of a wave is found by
Speed = Wavelength x Frequency where the frequency is in HZ and the wavelength is in meters
Speed = .80*25
Speed = 20 m/s
