Answer:
7a²/16
Step-by-step explanation:
Area of the triangle PTS
½ × a × a
a²/2
Length of PS:
sqrt(a² + a²)
asqrt(2)
Length of MS:
¼asqrt(2)
Triangles MCS and TPS are similar
With sides in the ratio:
¼asqrt(2) : a
sqrt(2)/4 : 1
Area of triangle SMC:
A/(a²/2) = [(sqrt(2)/4)]²
2A/a² = 1/8
A = a²/16
Area of PTMC
= a²/2 - a²/16
= 7a²/16
Step-by-step explanation:
Answer: a)
are needed to travel 8 miles
b) Town X and town Y are 15 miles apart.
Step-by-step explanation:
Given : Gasoline used to travel 5 miles = 3t gallons
a) To find: Gasoline used to travel 8 miles = ?
Using unitary method:
If Gasoline used to travel 5 miles = 3t gallons
Thus Gasoline used to travel 8 miles = 
are needed to travel 8 miles
b) when 3t gallons of gasoline are used , distance covered = 5 miles
Thus when 9t gallons of gasoline are used , distance covered = 
Thus town X and town Y are 15 miles apart.
Answer:
Length of ribbon = 40.86 inches
Step-by-step explanation:
Length of the ribbon = circumference of the dish = πD
D = diameter = 13 inches
Length of ribbon = 22/7 x 13 = 40.857143 inches
For a hyperbola

where

the directrix is the line

and the focus is at (0, c).
Here, we have c = 5, a² = 9, so b² = 5² - 9 = 16.
a = √9 = 3
b = √16 = 4
Your hyperbola's constants are ...
a = 3
b = 4
______
Please note that the equation of a hyperbola has a negative sign for one of the terms. The equation given in your problem statement is that of an ellipse.
Total points is 23
<u>Explanation:</u>
Given:
Total number of baskets = 18
Let the number of 2 pointer shots be x
Let the number of 3 pointer shots be y
According to the question:
-1
The equation can be formed as:

On solving this equation further we get:

Putting the value of x = 4 in equation 1

Points for 2 pointer shots = 4 X 2
= 8
Points for 3 pointer shots = 5 X 3
= 15
Total points = 8 + 15
= 23
Therefore, total points is 23