Answer:
The Length of third side is 52 units.
Step-by-step explanation:
Given:
Length of First side = 48
Length of second side = 20
Also given the angle between them is 90°.
Hence we can say figure shown is a right angled triangle.
For finding the third side we can use Pythagoras theorem which states that;
"If a triangle is right angled then, the Square of the hypotenuse is equal to sum of the square of the other two sides."

Hence substituting the values we get;

Now taking Square root on both side we get;

Hence Length of Third side is 52 units.
Part A: The answer is B.
As vertically opposite angles are equal
x+10=4x-35
10=3x-35
45=3x
x=15
Part B: The answer is D.
We'll substitute in the value of X in one equation.
x+10
=15+10
=25
As the two angles are equal bot must be 25 degrees.
Answer:
There are 7,725 square feet of grass on the trapezoidal field
Step-by-step explanation:
Here in this question, we are interested in calculating the square feet of grass present on the trapezoidal field.
What this question is actually asking us is to calculate the area of the trapezoid-shaped grass field.
To calculate this area, what we need to do
simply is to use the formula for the area of a trapezoid.
Mathematically, the area of a trapezoid can be calculated using the formula;
Area of trapezoid = 1/2 * (a + b) * h
where a and b refers to the length of the parallel lengths of the trapezoid and h refers to the height of the trapezoid.
From the question;
a, b = 81ft and 125 ft
h = 75 ft
Substituting these values, we have :
Area = 1/2 * (81 + 125) * 75
Area = 1/2 * 206 * 75 = 83 * 75 = 7,725 ft^2
Answer:
B
Step-by-step explanation:
Answer:
31/5
Step-by-step explanation:
[f(4) - f(-1)] / 4-(-1)