Hello.
To find the value of the angle x, you need to use the Law of Sines. The Law of Sines states, sin A / a = sin B / b = sin C / c.
We are given sin A = 42 degrees, side a = 22 cm, and side b = 12 cm. We can change x, to angle B in this case.
sin (42) / 22 = sin B / 12 (multiply both sides by 12)
12 sin (42) / 22 = sin B
sin^-1 B = 12 sin (42) / 22
sin B = 21.4063..
The measure of angle x is equal to about 21.4 degrees.
Probability of getting a pen in the first box:
7/12 = 0.58
0.58 x 100% = 58%
probability of getting a crayon in the second box:
5/10 = 1/2
half of 100 is 50, so 50%
or:
1/2 x 100% = 50%
<span>Its 21/36 or 7/12 i think </span>
<u>Answer</u>
Part 1: l = -1.665g
Part 2: Max-mum the spring can support.
Part 3: The spring constant.
<u>Explanation</u>
Gradient is also called the slope.
Slope = (change in y) /(change in x)
= (60 -40)/(6.7 - 40)
= 20 / -33.3
= - 0.600600601
Since the graph is a straight line, the equation would be,
m ∝ l
m = kl Where K is the constant.
<u>g</u> = -0.60l
l = -1.665g
<u>Part 2</u>
The Y-intercept represent the mix-mum weight the spring can support.
<u>part 3</u>
The slope in this case represent the spring constant.
Answer:
-4< (with line underneath) x <(with line underneath) 4
Step-by-step explanation: