Answer:
the height is 4
Step-by-step explanation:
it is a right triangle and also a perfect 3-4-5 right triangle
subtract 9 from 25
then you square root 16
and now you height is 4
Answer:
<h2>4</h2>
Step-by-step explanation:
From first piece -6 < x ≤ 0.
From second piece 0 < x ≤ 4.
Therefore -6 < x ≤ 4 → x ∈ (-6, 4]
-7 ∉ (-6, 4]
-6 ∉ (-6, 4]
4 ∈ (-6, 4]
5 ∉ (-6, 4]
Answer:
Dustin has 42 cards.
Mike has 54 cards.
Kevin has 39 cards
Step-by-step explanation:
subtract (Dustin + Mike) – (Dustin + Kevin) or 96 – 81.
Think of it like....
Dustin + Mike – Dustin – Kevin
Dustin – Dustin + Mike – Kevin
Mike – Kevin
Since 96 – 81 = 15, Mike – Kevin = 15
Add (Kevin + Mike) + (Mike – Kevin) or 93 + 15.
Think of it like...
Kevin + Mike + Mike – Kevin
Kevin – Kevin + Mike + Mike
Mike + Mike
Since 93 + 15 = 108, Mike + Mike = 108. If you divide, Mike had 54 cards. That means that you can find Kevin’s cards by using 93 – 54 or 39. You can then find Dustin’s cards by using 81 – 39 = 42.
Check:
Dustin’s cards + Kevin’s cards = 42 + 39 = 81
Dustin’s cards + Mike’s cards = 42 + 54 = 96
Mike’s cards + Kevin’s cards = 54 + 39 = 93
We know that
sin²x+cos²x=1
so
clear cos x
cos x=(+/-)√[1-sin²x]
in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5
the answer is
cos o=√21/5
Formula for finding the area of a rectangle: A = L * W
We know one of the lengths is 5 feet.
So, A = 5x is the answer.
