First case:
average of test score =70
number of students =p
total score of 'p' students = ( average of test score)*( number of students)
total score of 'p' students =70p
Second case:
average of test score =92
number of students =n
total score of 'n' students = ( average of test score)*( number of students)
total score of 'n' students =92n
total number of students = p+n
total average score =86
so, total score =86(p+n)
total score = total score of 'p' students +total score of 'n' students
now, we can simplify it
now, we can find p/n
................Answer
What are you trying to prove here? I know when step will be the use of the Transitive Property. If a=b, and b=c, then a=c.
To solve this, notice that you have the angle component (I will call this a) and the x-component (the distance of you from the building) of a trig formula, and you are looking for the y-component. We will use the tangent formula, since this incorporates the angle, x, and y components.
1. Write the formula
tan(a) = y ÷ x
2. Rewrite to include the known values.
tan(79.9) = y ÷ 100
3. Solve for the unknown variable, y.
tan(79.9) × 100 = y ÷ 100 × 100
tan(79.9) × 100 = y
4. A fancy step that I call the "flip flop."
y = tan(79.9) × 100
5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).
y = 561.3968
6. Round the number as is appropriate for this problem.
Have a great day!
Answer:
B. 30
Step-by-step explanation:
Given.:
m<4 = 2x°
m<5 = 4x°
Required:
Value of x
Solution:
<4 and <5 are angles in a straight line, therefore:
m<4 + m<5 = 180°
Substitute
2x + 4x = 180°
6x = 180°
x = 180/60
x = 30
Answer:
81 mm
Step-by-step explanation:
Now: 1 mm
In 10 minutes: 3 * 1 mm = 3 mm
In 20 minutes: 3 * 3 mm = 9 mm
In 30 minutes: 3 * 9 mm = 27 mm
In 40 minutes: 3 * 27 mm = 81 mm
Answer: 81 mm
