Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:

Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)

=2/4=1/2
Answer:
-18
Step-by-step explanation:
-8 + 70/-7
-8 - 10
-18
The total flowers is 4 + 3 + 4 = 11
4 roses + 3 carnations = 7
Probability of picking either a rose or a carnation = 7/11
Answer:
The answer is below
Step-by-step explanation:
Since 1000ml Of Dextrose 25% is needed to be produced from Dextrose 70%. Let us assume that x ml of Dextrose 70% is mixed with a Dextrose 5% to get 1000 ml of Dextrose 25%. Hence:
The amount of Dextrose 5% = 1000 ml - x ml = 1000 - x
25% of 1000 ml = 70% of x + 5% of (1000 - x)
25000 = 70x + 5000 - 5x
Simplifying gives:
65x = 25000 - 5000
65x = 20000
x = 308 ml
Therefore 308 ml of Dextrose 70% was mixed with 692 ml of Dextrose 5% to produce 1000 ml of Dextrose 25%.
A horse can run 1 3/8 of a mile in 1 3/5 minute. How long does it take the horse to run 1 mile?
So what i would personally do first is convert the fractions into decimals.
1 3/8= 11/8= 1.375 of a mile
1 3/5= 8/5 =1.6 of a minute
Now we find the rate of change
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