Answer: -16/65
Step-by-step explanation:
Drawing the right triangle (as attached) gives us that 
Also, 
This means our original expression is equal to:
![\cos \left[\arcsin \left(\frac{12}{13} \right)+\arcsin \left(\frac{3}{5} \right) \right]](https://tex.z-dn.net/?f=%5Ccos%20%5Cleft%5B%5Carcsin%20%5Cleft%28%5Cfrac%7B12%7D%7B13%7D%20%5Cright%29%2B%5Carcsin%20%5Cleft%28%5Cfrac%7B3%7D%7B5%7D%20%5Cright%29%20%5Cright%5D)
Using the cosine addition formula, which states 
, we get this itself is equal to:
Since 
, we know that:
Similarly, cos(arcsin(3/5))=4/5.
This means the given expression is equal to:
Answer:
She needs cups of flour for each batch of cookies.
Step-by-step explanation:
Step-by-step explanation:
A baker needs a total cups of flour to make four batches of cookies.
We have to calculate how much flour she needs for each batch of cookies.
Let the flour needed for one batch be f, so the expression would be
f × 4 =
First we convert mixed fraction to proper fraction.
f × 4 =
f =
= × =
Now we convert this proper fraction to mixed fraction.
=
She needs cups of flour for each batch of cookies.
Answer:
40 $
Step-by-step explanation:
He first deposited 60 quarters=15$, 53 dimes=5.3$, 44 nickels=2.2$, and 50 pennies=0.5$ Total 23$
23$+17$=2*(total deposit)
so total deposit = 20
"If Ahmad received 2 twenty-dollar bills in cash" - does not mean that he deposited those 40$
so total deposit = 20$
Step-by-step explanation:
a power supply, a load suited to the power supply, and wiring as a conductor
For this case we have the following expression:
We use a calculator to calculate the value of the expression shown.
We have then that the result is:
Round to the hundredth:
Answer:
the best estimate of sqrt 0.96 to the nearest hundredth is:
0.98
