Answer:
C.) 7.14 in²
Step-by-step explanation:
The figure is made up of a square and a circle. The circle is divided in half and each piece is set on one side of the square. This means that the diameter of the circle is equal to the length of the sides of the square, 2 inches.
The area of the square can be found by multiplying length times the width:

The area of the square is 4 inches, and since we multiplied two lengths, we square the value:
A=4in²
Now find the area of the circle using the formula:

The radius is half of the diameter, so the radius is 1. Insert values and solve:

The area of the circle is equal to π. Add the values together:

The area of the figure is 7.14 in²
:Done
Answer:
D
Step-by-step explanation:
Answer:
1). 
2). 


Step-by-step explanation:
First term of an arithmetic sequence is (-1) and common difference is 5.
Then we have to find twenty fifth term of this arithmetic sequence.
Since explicit formula of an arithmetic sequence is represented by

Where
represents nth term of the sequence.
a = first term
n = number of term
and d = common difference
Now we will find 25th term of this sequence.

= (-1) + 120
= 119
Similarly in second part of this question we have to find first three terms of an arithmetic sequence in which
and

Now from the explicit formula
17 = a + (21 - 1)d
17 = a + 20d --------(1)
75 = a + (50 - 1)d
75 = a + 49d --------(2)
Now we subtract equation 1 from 2
75 - 17 = 49d - 20d
29d = 58
d = 
By putting d = 2 in equation 1
17 = a + 20×2
17 = a + 40
a = 17 - 40
a = -23
Therefore, first three terms of this sequence will be



Answer:
5x = 2x + 24 ( opposite angles are equal)
5x - 2x = 24
3x = 24
x = 24/3
x = 8
<h3>X = 8</h3>
5x = 5 × 8 = 40
2x + 24 = 2(8)+24 = 16 +24 = 40
Answer:
A
Step-by-step explanation:
A is a parabola