In this question , we have to find the value of tan 30 and we need to write the answer in simplified form .

Substituting the values of sin (30) and cos(30, we will get

Multiplying both numerator and denominator by 2, we will get

TO simplify it, we need to multiply both numerator and denominator by square root 3.

Probability=13/52*12/51*11/50*10/49=11/4165
Answer:
<h2>36.14 pounds of 34% copper alloy and 9.86 pounds of 48% copper alloy</h2>
Step-by-step explanation:
First alloy contains 34% copper and the second alloy contains 48% alloy.
We wish to make 46 pounds of a third alloy containing 37% copper.
Let the weight of first alloy used be
in pounds and the weight of second alloy used be
in pounds.
Total weight =

Total weight of copper = 

Subtracting 34 times first equation from second equation,

∴ 36.14 pounds of first alloy and 9.86 pounds of second alloy were used.
Answer:
56
Step-by-step explanation:
for this problem you would first figure out what 1/8 of 64 is. 1/8 of 64 is 8.so we do 7*8 to get 56 so 56 of the 64 houses have been sold
Answer:
1/4 or 0.25
Step-by-step explanation: