Answer: 0.4
Step-by-step explanation:
We know that the a scale factor for dilation about the origin, O is the ratio of the coordinates of the image to the coordinates of the pre-image.
Given : ΔRST is dilated about the origin, O, to create ΔR'S'T'. Point R is located at (3, 9), and point R' is located at (1.2, 3.6).
Then , the scale factor for dilation is given by :-
Therefore , the scale factor was used to perform the dilation= 0.4.
We know that Center 1 collects 715 pints per day and Center 2 collects 1035 pints per day.
They are asking for the estimated combined amount of blood from both centers in 3 days.
Estimate 715 as 700, and 1035 as 1000
This is written as
3(700+1000)= estimated total amount
To evaluate, simplify.
3(1700)= 5100 pints in 3 days from both centers
I'm taking these lengths as the diameter of this ball.
A ball is in the shape of a sphere.
The formula for finding the volume of a sphere is:
= 0.65
∴ Volume =
= (approx.)
b.7 d.10
is 4 inches. Determine the slant height of the
pyramid.
Answer:
Step-by-step explanation:
Let h be the slant height of the square pyramid.
Given:
Total surface area of the square pyramid = 40 square inches
And square base has a side length = 4 inches
We need to find slant height of the square pyramid.
The surface area of the pyramid is sum of the area of the square and area of each of the triangle faces.
-------(1)
The base area of the square pyramid =
So,
And area of the triangle =
Where b = base of the triangle
The base of the triangle is one side of the square pyramid base, so the base of the triangle is 4 inches.
And h = slant height of the triangle.
So the area of the triangle = 2h square inches
Now we substitute area of the base and area of the triangle in equation 1.
Now we substitute the value of total surface area of the square pyramid in above equation.
Simplify the above equation.
Therefore the slant height of the square pyramid is 3 inches.
Answer:
Step-by-step explanation:
1. 9 square inches
2. 60 square inches
3. 69 square inches