Answer:
240 students
Step-by-step explanation:
Grade 7 : Grade 8 = 5 : 3
Number of seventh grade students = 5x
Number of Eighth grade students = 3x
3x = 90
x = 90÷3
x = 30
Total students = 5x + 3x = 8x = 8 * 30 = 240
Step-by-step explanation:
∫ (sec x − tan x) dx
∫ sec x dx + ∫ -tan x dx
∫ (sec²x + sec x tan x) / (sec x + tan x) dx + ∫ (-sin x / cos x) dx
ln(sec x + tan x) + ln(cos x) + C
Answer:
Step-by-step explanation:
The formula for determining the the area of a sector is expressed as
Area of Sector = θ/360 × πr²
Where
θ represents the central angle.
π is a constant whose value is 3.14
r represents the radius of the circle.
From the information given,
The central angle is π/7 radian. Converting to degrees, it becomes
π/7 × 180/π = 180/7 = 25.714 degrees.
Area of sector = 77 square meters
Therefore
77 = 25.714/360 × 3.14 × r²
77 = 0.2243r²
r² = 77/0.2243 = 343.29
r = √343.29 = 18.53 meters
Hello there! Ashton needs 48 more dollars.
Well, to start, you want to find 60% of 120. To do this, you first have to convert 60% into a decimal by dividing it by 100.
60/100 = 0.6
Next, multiply 0.6 by your total needed, 120, to finish finding 60% of 120.
120 x 0.6 = 72.
So he already has 72 dollars, but how many more does he need? You can find this by subtracting 72 from 120.
120 - 72 = 48.
So, this means he needs 48 more dollars. I hope this helps and have a great rest of your day! Please let me know if you need further help with this question. :)
Answer:
620
Step-by-step explanation:
55800/90