Step-by-step explanation:
3cos2x +sinx=1
3(1-2sin²x)+sinx=1
3-6sin²x+sinx=1
sinx(-6sinx+1)=1
either
sinx=1
sinx=sin(90)
:.x=90
or
-6sinx+1=1
-6sinx=1-1
sinx=0/-6
sinx=sin0,sin180
:.x=0,180and90
Step-by-step explanation:
by using similarity and enlargement
10/8 = 7+y/7
70=56+8y
8y=14
y= 7/4
10/8 = 5+x/5
50=40+8x
x = 8/10 = 4/5
Factor by grouping.
(7x+2)(x-2) I think not sure
Answer:
7 / 16
Step-by-step explanation:
Sample space is attached below :
Theoretical Probability of any event A
P(A) = (number of required outcome / Total number of possible outcomes)
Required outcome = sum greater than 7 = 14
Total number of possible outcomes = 32
P(sum greater than 7) = 14 / 32
P(sum greater than 7) = 7 / 16
Th coffee seller must have sold 130 coffee case but for him to make at least $3650, he must've sold 131 cups of coffee
Data;
- monthly salary = $3500
- commission = $12
- amount due for commission = $100
- cost of coffee = $25
- total amount = $3650
<h3>Word Problem</h3>
These are verbal expressions used to represent mathematical problems and if we want to solve them, we must translate them into equations.
If his total pay is $3650 and he earns a commission of $12 for every $100 coffee sold.
How many coffee case are inside $100

This shows that for every 4 coffee case sold, she made ($100 + $12) as profit.
If 4 coffee = $112
how many coffee will give us $3650

From the calculations above, he must've sold at least 131 cups of coffee to make $3650.
Learn more on word problems here;
brainly.com/question/21405634