9514 1404 393
Answer:
16.8°
Step-by-step explanation:
The Law of Cosines can be rearranged to give the angle measure.
angle Q = arccos((p² +r² -q²)/(2pr))
angle Q = arccos((690² +450² -290²)/(2×690×450))
angle Q = arccos(594500/621000) ≈ 16.7985°
The measure of angle Q is about 16.8°.
<h3>
The dimensions of the given rectangular box are:</h3><h3>
L = 15.874 cm , B = 15.874 cm , H = 7.8937 cm</h3>
Step-by-step explanation:
Let us assume that the dimension of the square base = S x S
Let us assume the height of the rectangular base = H
So, the total area of the open rectangular box
= Area of the base + 4 x ( Area of the adjacent faces)
= S x S + 4 ( S x H) = S² + 4 SH ..... (1)
Also, Area of the box = S x S x H = S²H
⇒ S²H = 2000

Substituting the value of H in (1), we get:

Now, to minimize the area put :

Putting the value of S = 15.874 cm in the value of H , we get:

Hence, the dimensions of the given rectangular box are:
L = 15.874 cm
B = 15.874 cm
H = 7.8937 cm
The probability is P = 0.004, so the correct option is D.
<h3 /><h3>How to find the probability?</h3>
We want to find the probability that 4 students lie on these 30% subgroup.
We know that there are 30 students, the 30% of 30 is:
x = (30%/100%)*30 = 9
So 9 out of 30 students prefer the tests to be on Mondays.
The probability that the first randomly selected kid wants the test to be on Monday is:
p= 9/30
For the next kid, the probability is:
p'= 8/29 (because one kid was already selected).
For the next one:
p'' =7/28
For the final one:
p''' =6/27
The joint probability is the product of these 4:
P = (9/30)*(8/29)*(7/28)*(6/27) = 0.004
So the correct option is D.
If you want to learn more about probability:
brainly.com/question/25870256
#SPJ1
Your answer is 3 because all you do is form it in a fraction