If you know the center is at (-1,3), then find r by writing out the standard formula for the equation of a circle, as follows:
(x-2)^2 + (y-5)^2 = r^2
We still have the other point to deal with: (-4,1). Subst. -4 for x in this equation, and 1 for y:
(-4-2)^2 + (1-5)^2 = r^2. Then 36 + 16 = r^2,
and 52 = r^2, so that the radius is positive sqrt(52).
You could write that as sqrt(4)sqrt(13) = 2sqrt(13). Take your pick.
Hello!
As you can see, two of the triangles that we see that are made from the lengths we are given make up one face of the pyramid. We can use the triangle formula without multiplying by 1/2 to find the length of one face.
30(45)=1350
Now we multiply this by four to find all of the sides.
1350(4)=5400
We find the area of the square base
30(30)=900
Finally, we add up our lengths.
5400+900=6300
Therefore, our answer is C) 6400 yards²
I hope this helps!
(a) We need to figure out the deciles for a normal distribution curve in this part.
In order to do so, we need to find the z score corresponding to probability 0.10 and 0.90 on the normal distribution curve.
Upon looking at the normal distribution table, we can see that the probability P = 0.10 corresponds to a z score of -1.28 and probability P = 0.90 corresponds to a z score of 1.28.
Therefore, deciles are -1.28 and 1.28 for a normal distribution curve.
(b) In this part, we are given that mean height is 69.5 inches and standard deviation in height is 2.7 inches. Therefore, we can find the deciles using the z score formula as shown below:
Therefore, the required deciles are 66.044 and 72.956
Using the cosine ratio, the value of AD in the diagram is: 2√3π in.
<h3>How to Apply the Cosine Ratio?</h3>
If we have the following given in a right triangle like triangle ADC in the diagram:
AC = 4π (hypotenuse)
AD = ? (adjacent side)
The cosine ratio, CAH would be applied, which is:
Cos 30 = adjacent/hypotenuse
Cos 30 = AD/4π
AD = cos 30 × 4π = √3/2 × 4π [cos 30 = √3/2]
AD = 2√3π in.
Learn more about the cosine ratio on:
brainly.com/question/15793827
#SPJ1
Answer:
D
Step-by-step explanation:
