Answer:
π/3
Step-by-step explanation:
We have to find the principal value of 
arc sin means sin inverse. The sin inverse is a one to one function with its range between 
The principal value of the arc sin will lie within the above given range.
value of sin (60) or sin(
) is 
.
lies between 
So, from here we can say that the Principal Value of Arc sin(square root of 3/2) is π/3
Answer:
14 m²
Step-by-step explanation:
the height of the triangle is 3 m and the base is 4 m. 3 times 4 is 12 but then you have to half that so the area of the triangle is 6 m. The area of the rectangle is 2 times 4 which is 8. 8 plus 6 is 14. So 14 is your answer.
Answer:
The correct answer is D. AB ≅ WX
Step-by-step explanation:
No other choice involves a pair of congruent/similar lines. If the figure is rotated clockwise, you could transpose one over the other and AB would overlay WX exactly.
Answer:
<u>The number of pens = 120 and the number of pencils = 200</u>
Step-by-step explanation:
Let the number of pens x, and the number of pencils is y
the cost of one pen $1, and the cost of one pencil $0.5
The cost of the whole purchase was $220
1 * x + 0.5 * y = 220
x + 0.5 y = 220 ⇒ eq.(1)
there were 80 more pencils than pens
y - x = 80 ⇒ eq.(2)
from eq.(2) x = y - 80
By substitution with x from the last equation at eq.(1)
∴ (y - 80) + 0.5 y = 220
1.5y = 220 + 80 = 300
y = 300/1.5 = 200
x = y - 80 = 200 - 80 = 120
<u>So, the number of pens = 120 and the number of pencils = 200</u>
Answer:
8
Step-by-step explanation:
So you can start by simplifying each fraction:
16/6 divide by 2/2 = 8/3
3s/9 divided by 3/3 = s/3
Then, since 8/3 = s/3 you just have s = 8.
