Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
<em>
</em>
Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = 
= 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = 
= 0.866
b = (8)(0.866)= 6.928
Let's attribute a to equal probability of 2 and b to equal probability of 3
A=54/360 B=62/360
"or" means you combine the probabilities which means that AvB =116/360
now simply divide 116 by 360 and you get your answer which is 0.32
A is the correct answer my dude
8x + 20 - 11 = 4x - 3
8x + 9 = 4x - 3
8x + 12 = 4x
12 = -4x
-3 = x
X = -3
Answer:
More than 10% of Gillway students earned honors.
Step-by-step explanation:
<u>Step 1: Find the number of students who earned honors</u>
43 + 17 = 60
<u>Step 2: Find the total number of students</u>
381 + 108 = 489
<u>Step 3: Find the percentage of students who earned honors</u>
Students who earned honors/Total students x 100
60/489 x 100
12.27%
<u>Step 4: Find the correct answer</u>
Just under 11% of Gillway students earned honors.
<em>This is incorrect since the percentage is more than 11%.</em>
Just over 11% of Gillway students earned honors.
<em>This is incorrect as just over 11% would mean somewhere between 11 and 12% whereas the actual percentage is just over 12%.</em>
More than 10% of Gillway students earned honors.
<u><em>This is correct as compared to all other statements since 12.27% is more than 10%.</em></u>
Almost 11% of Gillway students earned honors.
<em>This is incorrect since almost 11% means less than 11% whereas the actual percentage is more than 11%.</em>
!!
Y = -x - 9
-x -2(-x-9)=-5
-x +2x + 18 = -5
x + 18= -5
x= -23
-23+ y = -9
y= 14
