Answer:
Step-by-step explanation:
If arccos (√3 / 2) = β, then cos β = adjacent side / hypotenuse = √3 / 2. This tells us immediately that the adjacent side length is √3 and the hypotenuse is 2. Via the Pythagorean Theorem, we know that the third side is 1.
This information rules out the 1st and 3rd answer choices.
Because cos 30° = adj / hyp = √3 / 2, we can conclude that the correct answer is the 4th one: 30°, 60°, 90°
Answer: it is A that right
Let no. of pens be x.
Pens : x
Pencils: x+8
Total: 2x+8
Student takes 1 pen and 5 pencils.
Remainder: 2x+8 - 5 -1 = 2x+2
2x+2 = 26
2x= 24
x = 12 (original no. of pens)
x+ 8 = 20 (original no of pencils)
There are 12 pens at first and 20 pencils.
After 1 pen is taken, 11 pens are left.
After 5 pencils are taken, 20-5=15 pencils are left.
Ali saves Rs 2576 every month
Step-by-step explanation:
- Step 1: Given Ali's monthly salary = Rs 18400. Calculate the amount spent on food articles
Amount spent on food = 30% of 18400 = 30/100 × 18400 = Rs 5520
- Step 2: Find the remaining amount.
Remaining amount = 18400 - 5520 = Rs 12880
- Step 3: Find amount spend on conveyance and clothes
Amount spent on conveyance and clothes = 40% of 12880
= 40/100 × 12880 = Rs 5152
- Step 4: Find his monthly savings.
Monthly savings = 50% of 5152 = 50/100 × 5152 = Rs 2576
30 times 86 equals 2580 and 4 times 86 equals 344 add those together and you get 2924
