Answer:
183
Step-by-step explanation:
a₁ = -13
common difference = a₂ - a₁
= (-6) - (-13)
= -6 + 13
d = 7
nth term = a₁ + (n - 1)d
29th term = -13 + 28 * 7
= -13 + 196
= 183
Answer:
(B) 52°
Step-by-step explanation:
The measure of a linear angle (∠BED) is 180°, so the sum of the two named angles will be that.
∠AED + ∠AEB = ∠BED = 180°
128° + ∠AEB = 180°
∠AEB = 52° . . . . . . . . . . . . subtract 128° from both sides of the equation
Answer:
Independent
Step-by-step explanation:
with replacement the total number of tiles will always remain the same,i.e the sample size will not be changed. so the events are independent.
Answer:
C, A
Step-by-step explanation:
First question:
As you can see the shape we're working with here is a pyramid and we must first understand that the 4 sides of a pyramid are triangles and the base of the pyramid is a square.
As shown in the picture, the cut is going horizontally through the same place the base is, so therefore, the shape the cross section would make would be a square. (c)
Second question:
Same shape; different size.
We're still working with a pyramid here, just that the base is bigger.
We can see how that the cut is going vertically through the middle of the triangle, parallel to it's side, which I mentioned earlier is a triangle
Therefore, the shape of this cross section would be a triangle. (a)
Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is

The length of AB is

The length of AD is

Since AB=AD, therefore ABCD is a square. The area of the of square is

The area of square is 29 units².
The area of a semicircle is

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

The area of the semicircle is

The area of the figure is

Therefore the area of the figure is 40.4 units². Option B is correct.