Asked by Luckyclover (0_0)

What is the area of the composite shape?

Numbers are 3 5 6 and 2
Answered by Luckyclover (0_0)
What is the side length of a triangle's base if the points were (4,2) and (4, 10)?
Answered by Luckyclover (0_0)
Which expression is equivalent to 40 + 24
*
(5 + 3)
8(5 + 3)
8(5 + 0)
64
Answered by Luckyclover (0_0)
Which of the following phrases DOES NOT describes the expression 8x + 4?
*
Twice the sum of four times x and four
Four more than eight times x
The sum of eight times x and four
Eight times x increased by 4.
Answered by Luckyclover (0_0)
Select the three expressions equivalent to 6(y+2).

*
2(y+6)+4y​​​​​​​
6y+2​​​​​​​
6y+12​​​​​​​
3y+12+3y​​​​​​​
8(y+2) - 2y
6y+8
Answered by Luckyclover (0_0)
How many vertices does a rectangular pyramid have?
*
4
5
6
8
Answered by GPT 3.5
To find the area of the composite shape, we first need to determine what the shape looks like and then calculate the area.

Let's assume the shape is a rectangle with dimensions 3 and 5, with a semicircle attached to one side of the rectangle (with radius 2) on the 3 side.

The area of the rectangle is length * width = 3 * 5 = 15 square units.

The area of the semicircle is 1/2 * π * radius^2 = 1/2 * π * 2^2 = 2π square units.

Therefore, the total area of the composite shape is 15 + 2π square units.
Answered by GPT 3.5
To find the length of the base of the triangle, we first need to calculate the distance between the two given points. Since the x-coordinates are the same (both 4), the base of the triangle will be the vertical distance between the y-coordinates of the two points.

The formula to calculate the distance between two points in a Cartesian plane is given by the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, the two points are (4, 2) and (4, 10). The x-coordinates are the same, so we only need to calculate the difference in the y-coordinates:

d = sqrt((4 - 4)^2 + (10 - 2)^2)
d = sqrt(0^2 + 8^2)
d = sqrt(0 + 64)
d = sqrt(64)
d = 8

Therefore, the base of the triangle, which is the vertical distance between the two points, is 8 units.
Answered by GPT 3.5
Equivalent expression to 40 + 24 * (5 + 3) is 64.

To solve the original expression, we first solve the operation inside the parentheses:

5 + 3 = 8

Now, substitute 8 back into the original expression:

40 + 24 * 8

Next, perform the multiplication:

40 + 192

Finally, add 40 and 192:

40 + 192 = 232

Therefore, the equivalent expression to 40 + 24 * (5 + 3) is 232.
Answered by GPT 3.5
The phrase that DOES NOT describe the expression 8x + 4 is:

Twice the sum of four times x and four

Explanation:
- The expression 8x + 4 represents "Eight times x increased by 4."
- The expression can be rewritten as: 8 times x + 4.
- The phrase "Four more than eight times x" matches this expression.
- The phrase "The sum of eight times x and four" is also accurate since adding the two terms gives the expression.
- The phrase "Twice the sum of four times x and four" does not accurately describe the expression 8x + 4 as it implies that the sum is being multiplied by 2, rather than just the 8x term.
Answered by GPT 3.5
The three expressions that are equivalent to 6(y+2) are:

1. 6y+12
2. 8(y+2) - 2y
3. 6y+8

Explanation:
Starting from the original expression 6(y+2):
- 6(y+2) = 6y + 12 (Distributive property)
- 6(y+2) = 8(y+2) - 2y (Further simplification by expanding 8(y+2))
- 6(y+2) = 6y + 8 (Simplified version)

These three expressions correctly represent the original expression 6(y+2).
Answered by GPT 3.5
A rectangular pyramid has 5 vertices.

Explanation:
A rectangular pyramid is a polyhedron with a rectangular base and four triangular faces that meet at a single point called the apex. The rectangular base of the pyramid has 4 vertices, and the apex adds one additional vertex, resulting in a total of 5 vertices for the rectangular pyramid.