Answer:
3 have only been in ballet
Step-by-step explanation:
If
5 have been in ballet
9 have been in play
2 have been in both ballet and a play
Then
<u>3 have only been in ballet</u>
7 have only been in a play
We know that 172 of them were wood, so the rest are metal. To find that number we do:
276 - 172 = 104 metal pins.
To find the percentage that they were metal, take the number of metal pins and divide by the total number of pins:
104/276 is about 0.3768.
Multiply this by 100:
37.68
So, the percent of metal pins is 37.68%.
Answer:
See attached image!
Step-by-step explanation:
Answer:
Part 1) The scale factor is 
Part 2) The dimensions of the enlarged prism are
a.Length=(8)(2)=16 ft
b.Width=(2)(2)=4 ft
c.Height=(6)(2)=12 ft
Part 3) The surface area of the smaller rectangular prism is 152 ft^{2}
Step-by-step explanation:
we now that
If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
Part 1)
Find the scale factor
we know that
If the dimensions of the smaller prism are doubled , then the scale factor from the smaller rectangular prism to the larger rectangular prism is equal to 
Part 2)
we know that
To find the dimensions of the enlarged figure, multiply the dimensions of the smaller prism by the scale factor
so
Length=(8)(2)=16 ft
Width=(2)(2)=4 ft
Height=(6)(2)=12 ft
Part 3) Find the surface area of the smaller rectangular prism
we know that
The surface area of the rectangular prism is equal to the area of its six rectangular faces
SA=2(8)(2)+2(2)(6)+2(8)(6)=152 ft^{2}
Answer:
A turning point is the highest or lowest point on a quadratic graph.
Step-by-step explanation:
A quadratic graph looks something like the graph below.
The equation of a quadratic graph would normally look like
+/- ax^2 + bx + c
An example might be -16x^2 + 5x + 4
Note the negative symbol in front of the 16. The negative means that the graph will be facing downwards, or that the turning point is the highest point. A positive graph will mean that the graph is facing upwards, or that the turning point is the lowest point.
Essentially, it is the location where a graph has its lowest or highest point and where the y-values (can include x-values in horizontal quadratics) "turn" to the direction they originated.