First we define the variables:
m = multiple choice questions
s = short answer questions
Next we need to satisfy 2 conditions:
1) There are a total of 40 questions. We can represent this mathematically using the variables I defined:
2) The multiple-choice questions are worth 2 points and the short-answer are worth 4 points but they need to total 100 points. This can also be represented mathematically:
By satisfying the conditions provided we were able to create the 2 equations!
Answer:
0
Step-by-step explanation:
Substitute the given values for a and b into the expression
(18 + 14) - (18 - 14)²
= × 32 - 4²
= 16 - 16
= 0
Answer:
A= 75.06 Sq Cm
Step-by-step explanation:
Please refer to the picture attached with this.
In ΔABD
AB = 8.5 , AD = 6 and say BD = x
Applying Pythagoras theorem in this triangle
Pythagoras theorem says
where c is the side opposite to the right angle, and b and a are the other two sides of the right angled triangle.
Hence side
a = 6.02+19
a = 25.02
Now we apply the formula for area of a triangle which is given as
Where b is the base , here we have base as a = 25.02
h is the height , here h = 6
Putting these values in Formula we get
Hence Area of the triangle is 75.06 sq cm
Answer:
129.3 in²
Step-by-step explanation:
The shaded segment is calculated as
area of sector ABC - area of triangle ABC
area of sector = area of circle × fraction of circle
A = πr² ×
= π × 18² ×
= 324π × = 54π in²
area of Δ ABC = × 18 × 18 × sin60° ≈ 40.30 in²
Then
shaded area = 54π - 40.30 ≈ 129.3 in² ( to the nearest tenth )