First, split the angle into two angles where the values of the six trigonometric functions are known. In this case, π/12 can be split
into π/3−π/4.
cos(π/3−π/4)
Use the difference formula for cosine to simplify the expression. The formula states that cos(A−B)=cos(A)cos(B)+sin(A)sin(B)
cos(π/3)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/3) is 12, so:
(12)⋅cos(π/4)+sin(π/3)⋅sin(π/4)
The exact value of cos(π/4) is √22.
(12)⋅(√22)+sin(π/3)⋅sin(π/4)
The exact value of sin(π/3) is √32.
(12)⋅(√22)+(√32)⋅sin(π/4)
The exact value of sin(π/4) is √22.
(12)⋅(√22)+(√32)⋅(√22)
Simplify each term:
√24+√64
Combine the numerators over the common denominator.
<span>(√2+√6)
/ 4</span>
Answer:
161 centimeters
Step-by-step explanation:
To find the total height, we need to find the wait of each individual box. Since we have five boxes stacked up on each other with a height of 115, we can divide 115 by 5 to get 23. Now that we know that each box is 23 centimeters tall, we can multiply that by 2 because 2 more boxes were added, and then add that to 115.
115/5=23
23*2=46
46+115=161
Hope this helps!
Answer:
Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.
Step-by-step explanation:
I just took the quiz, I hope this helps :).
Answer:
measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained
Step-by-step explanation:
Given:
Mass of Sodium citrate = 5 g
Mass of Tartar Emetic = 0.015 g = 15 mg
Volume of Cherry syrup ad 120 mL = 120 mL
sensitivity = 4 mg
Error = 5%
Now,
The smallest weight that can be measured = 
or
The smallest weight that can be measured = 
= 80 mg
Now,
80 mg is dissolved in 120 mL of Cherry syrup according to prescription
( Thus,
1 mg is dissolved in 
of Cherry syrup according to prescription )
so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup
= 
= 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained
