Answer:
of an hour is remaining for Mariko's social studies class
Step-by-step explanation:
Given:
Total duration of Mariko's social studies class = 5/6 of an hour.
Only 3/12 of an hour has passed.
To Find:
Fraction of an hour remains for Mariko's social studies class =?
Solution:
Converting into minutes
5/6 of an hour =
=>
=>50 minutes
So the total duration of Mariko's social studies = 50 minutes
If 3/12 of an hour passes means
Converting into minutes
=>
=>
=>
=> 15 minutes
15 minutes has passed
Remaining time left is
50 minutes - 15 minutes = 35 minutes left
Now converting into 35 minutes into hours we get
=>
=>
A) The area of a square of side 1 that is outside a circle of radius 1 is (1 -π/4), so the probability of interest is
.. p(outside unit circle) = 1 - π/4
b) The sets of numbers such that 3y>x is fill an area that is 5/6 of all sets of numbers (x, y) in the interval [0, 1].
.. p(3y > x) = 5/6
Answer:
7.81
Step-by-step explanation:
5 squared + 6 squared = 25 +36 = 61
then take the square root of 61
= 7.81
<h3>
Answer: A) 57</h3>
==============================================================
Explanation:
For any convex polygon, the sum of the exterior angles is always 360 degrees.
The exterior angles (5x+12), (10x-37) and (9x+1) add to 360. Use this to solve for x.
(5x+12)+(10x-37)+(9x+1) = 360
(5x+10x+9x) + (12-37+1) = 360
24x-24 = 360
24x = 360+24
24x = 384
x = 384/24
x = 16
The expression 10x-37 is then
10x-37 = 10*16-37 = 160-37 = 123
which is the measure of the exterior angle adjacent to angle BCA
The last step is to subtract this from 180 to get angle BCA itself
angle BCA = 180 - 123 = 57
Is it possible with only letters