Answer: the answer is B. 90√2
Step-by-step explanation:
It is a 45 45 90 triangle and the hypotenuse is always the smaller side (x) root 2
Or x√2
Harvey is 3 times as old as Jane."
<span>h = 3j </span>
<span>"The sum of their ages is 48 years." </span>
<span>h + j = 48 </span>
<span>substitution </span>
<span>(3j) + j = 48 </span>
<span>4j = 48 </span>
<span>j = 12 </span>
<span>h = 3j = 36</span>
Answer:
144
Step-by-step explanation:
Answer:
Mean = 10.2
Standard deviation = 4.0
Step-by-step explanation:
The average age = mean age
Mean = (16 + 10 + 5 + 7 + 13)/5
Mean = 51/5 = 10.2
What is the standard deviation will be square root of variance
(16 - 10.2) + (10 -10.2) + (5-10.2) + (7-10.2)+( 13-10.2)
5.8 + 0.2 -5.2 - 3.2 + 2.8
Square each number
33.64 + 0.04 + 27.04 + 10.24 + 7.84
Variance = 78.8/5 = 15.76
Standard deviation = 3.969 = 4.0
Answer:
44 years
Step-by-step explanation:
The sum of the ages of Michael and Leah is 71 years. 10 years ago, Michael's age was 2 times Leah's age. How old is Michael now?
Let Michael age = x , Leah = y
x+ y = 71 ....... ..(1)
10 year ago
Michael = x -10
Leah = y - 10
Michael = 2×leah
x - 10 = 2(y-10)
x - 10= 2y - 20
x - 2y = -20+10
x - 2y = -10 ...........(2)
x + y = 71 ......... (1)
Solve simultaneously using elimination method, subtract 1 from 2
-2y - y = -10-71
-3y = -81
Divide both sides by -3
y = -81/-3
y =27
x+y = 71
Put y =27
x+27= 71
x = 71 -27
x =44 years
Therefore Michael is 44years
I hope this was helpful, please mark as brainliest
