Answer:
<u>x = 90</u>
Step-by-step explanation:
We know based on the trigonometric identity that :
Here, it's given : tan (x - 45)° = 1
<u>Equating</u>
- tan 45 = tan (x - 45) [both are equal to 1]
- 45 = x - 45
- <u>x = 90</u>
If p is the price of a bag of popcorn and d is the price of a drink
2p + 3d = 18.25 Mohamed’s order
4p + 2d = 27.50 Miguel’s order
If we double the first equation
4p + 6d = 36.50
Now subtract the second equation (find the difference between them)
4d = 9.00
d = 2.25
Substitute in the first equation
2p + 3 x 2.25 = 18.25
2p = 18.25 - 6.75 = 11.50
p = 11.50 / 2 = 5.75
Popcorn was $5.75 a bag and drinks were $2.25 each
Answer:
90 students.
Step-by-step explanation:
Given that Cho surveyed a random sample of 60 students in the school's library, of which 15 said they read the newest magazine, and that a total of 360 students attend the library every day, to determine how many of the 360 students can have expect to read the newest magazine the following calculation should be performed:
60 = 100
15 = X
15 x 100/60 = X
1,500 / 60 = X
25 = X
Thus, 25 percent of the students in the sample read the newest magazine. Since 25% of 360 is 90 (360 x 0.25), that is the number of students he can expect to have read the magazine.
Answer:
Step-by-step explanation:
Let the number be y & reciprocal simply means inverse of the number
4×1/y=2×1/8 solving for y
4/y=2/8; y = 16
Answer:
The final price will be $12.67
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 14.9 × 15/100
Discount = 14.9 x 0.15
You save = $2.24
Final Price = Original Price - Discount
Final Price = 14.9 - 2.235
Final Price = $12.67
hope this helps and is right. p.s. i really need brainliest :)