Answer:
x=12
Step-by-step explanation:
The two angles shown are complementary angles, so the add to 90 degrees
x+42 + 3x = 90
Combine like terms
4x+42 = 90
Subtract 42 from each side
4x+42-42 = 90-42
4x = 48
Divide by 4
4x/4 = 48/4
x = 12
Answer:
1/15
Step-by-step explanation:
First you must figure out your total outcomes, int the problem it said ten. Than take the number of students and put the number of students over the number of outcomes. This will tell you the probability of drawing one student. Next you must subtract 1 student and one member from your original equation. This is because you have assumed that the first drawing had a favorable outcome. So that leaves you with 2/9. Next you must multiply both the first fraction (3/10) and the second fraction (2/9) to come up with the total probability of the event occurring.
Hope that helped.
Answer:
almost 3 pages
Step-by-step explanation:
take 23 divided by 8 =2.875
Answer:
63°
Step-by-step explanation:
To get the value of x we will use the Pythagoras theorem
hyp² = opp²+adj²
Given
hyp is the length of the ladder = 22ft
Adjacent is the distance from the base of the ladder to the wall = 10ft
Angle of elevation = x
Using the SOH CAH TOA identity
Cos theta = adjacent/hypotenuse
Cos x = 10/22
Cos x = 5/11
x = arccos(5/11)
x = arccos(0.4545)
x = 62.96°
Hence the best estimate of x is 63°
