Answer:
(√6 - √2)/4
Step-by-step explanation:
cos30°cos45° - sin30°sin45°
= cos (30 + 45)°
= cos 75°
= (√6 - √2)/4
Answer:
A. $2.26
Step-by-step explanation:
An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...
H(t) = 110(1.035)^t
For t = 2, the two balances will be ...
H(2) = 110(1.035^2) = 117.83
R(2) = 110(1.025^2) = 115.57
The difference is ...
$117.83 -115.57 = $2.26
Harper's account will have $2.26 more.
_____
As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.
Answer:
27 13/60
Step-by-step explanation:
What you have tried to do is not an impossible way to do it. What you could do is set your fractions and whole numbers like this.
( 7 + 1/10) * (3 + 5/6) I don't know if you know what FOIL is, but that is the way to proceed.
- First: (meaning the first in each factor ). 3 * 7 = 21
- Outside: (meaning the two terms near outside the brackets) 7 * 5/6 = 5 5/6
- Inside: The two terms closest to the * sign 1 / 10 *3 = 3/10
- Last: The two end terms (1/10 * 5/6 = 5/60 5/60
Now you can add. 21 + 5 is the whole number amount = 26
Add the fractions
- 5/6 + 3/10 + 5/60 The lowest common multiple is 60
- 50/60 + 18/60 +5/60 = 73 / 60 = 1 and 13/60
Add that to 26 and you get 27 13/60
Answer:
The length is 91 meters
Step-by-step explanation:
The perimeter formula is 2W · 2L = 314
We know the width is 66 m, so we can then say:
132 · 2L = 314
-132 -132
2L = 182
L = 91
Hope this helped!
I'm not so sure about the first one but I think it's B
and for the second it would be certain because all of the tulips are red.
