Area of a Trapezoid, A = [(a+b)/2] · h
Where,
a and b are the respective bases of the trapezoid
h is the height of the trapezoid
a = 10
b = 7 + 10 + 10 = 24
h = 9
A = [(a+b)/2] · h
A = [(10 + 24)/2] · 9
A = [(34)/2] * 9
A = 17 * 9
A = 153 Units²
Hi!
Let's write the equation in number form first.
7 over 8
7/8
minus 1
7/8 - 1
over x
7/8 - 1/x
equals 3
7/8 - 1/x = 3
over 4
7/8 - 1/x = 3/4
Now to find the value, let's put each option as the value for x.
A. x = 1
7/8 - 1/1 = 3/4
7/8 - 1 = 3/4
0.875 - 1 = 0.75
-0.125 = 0.75
This is wrong.
B. x = 2
7/8 - 1/2 = 3/4
7/8 - 0.5 = 3/4
0.875 - 0.5 = 0.75
0.375 = 0.75
This is wrong.
C. x = 4
7/8 - 1/4 = 3/4
7/8 - 0.25 = 3/4
0.875 - 0.25 = 0.75
0.625 = 0.75
This is wrong.
D. x = 8
7/8 - 1/8 = 3/4
7/8 - 0.125 = 3/4
0.875 - 0.125 = 0.75
0.75 = 0.75
This is correct!
The answer is d. x = 8
Hope this helps! :)
-Peredhel
Solution :
Volume of ball = Volume of outer ball - Volume of inner ball

Now, density of iron is, d = 7300 kg/m³.
So, mass of iron ball is :

Hence, this is the required solution.
Answer:
443.2m
Step-by-step explanation:
Given in the question that,
distance from building to me = 45m
angle of elevation = 82°
building is 123 m + x m high
If we closely observe then this situation make a right angle triangle and we will use trigonometry identity to solve the question.
Step 1
tan(82) = y / 45
y = 45tan(82)
y = 320.2 m
Step 2
Hence the height of building is y + 123m. So, plug the value of y in this
320.2 + 123 = 443.2
The expected value is the sum of values multiplied by their probabilities.
... 15×(1/5+1/5) + 5×(3/5) = 6+3 = 9
The expected value of a single spin is 9 points.