1 km = 1,000 m....so 322km = 322,000 m
so the falcon can fly 322,000 m per hr
Recall that A = 1/2bh.
We are given that h = 4+2b
So, putting it all together:
168 = 1/2 b(4+2b)
168 = 1/2(4b + 2b^2)
168 = 2b + b^2
b^2 + 2b - 168 = 0.
Something that multiplies to -168 and adds to 2? There's a trick to this.
Notice 13^2 = 169. So, it's more than likely in the middle of the two numbers we're trying to find. So let's try 12 and 14. Yep. 12 x 14 = 168. So this factors into (b+14)(b-12) So b = -14 or b =12. Is it possible to have a negative length on a base? No. So 12 must be our answer.
Let's check this. If 12 is our base, then according to our problem, 2*12 + 4 would be our height... or 28. so what is 12 * 28 /2?
196. Check.
Hope this helped!
Answer:
0.0423 is the probability that the adult female has a height less than 61.3 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 65.3 inches
Standard Deviation, σ = 2.32 inches
We are given that the distribution of adult female height is a bell shaped distribution that is a normal distribution.
Formula:
P(adult female has a height less than 61.3 inches)
Calculation the value from standard normal z table, we have,
0.0423 is the probability that the adult female has a height less than 61.3 inches.
Answer:
Step-by-step explanation:
amplitude of y=a sin x
amplitude=a
Here y=-4sin 2x
amplitude=-4
Answer:
Step-by-step explanation:
set jk and kl equal to each other bc they are the same length (we know this bc of the midpoint)
3x - 1 = 2x + 8
x = 9
substitute 9 in an equation
2(9) = 8 = KL
18 + 8
26 = KL
since KL is the same length as JK we can just multiply 26 * 2
JL = 52
hope this helps <3