U would equal 206/86 or 2.39585
Answer: 280 cm
Step-by-step explanation:
The base of each of the congruent triangles ABD and CBD is BD= 28 cm. The height of each is the perpendicular 10cm.
A=(2)(bh/2) works out to A= bh since the 2/2 cancel
So 10cm × 28cm = 280cm²
-3x-1 = 2-(-3)
-3x-1 = 2+3
-3x-1 = 5
-3x = 5+1
-3x = 6
x = 6/(-3)
x = -2
Given:
The radius of the sphere is 6 in.
To find:
The volume of the sphere.
Solution:
We know that, the volume of a sphere is
Where, r is the radius of the sphere.
Putting r=6, we get
The volume of the sphere is 904.78 inches cubed.
Therefore, the correct option is C.
Answer:
So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.
Let's solve for what is easier first:
Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.
Here comes the interesting part:
Now, we have one part of QR, which is QN.
The other part can be solved by using the Pythagorean theorem.
It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.
SO, QR = QN + NR
5+36 = 41
QR = 41.
Hope this helps!
