ACB, ACD and DCB are all right triangles. We can then represent the relationships of their legs through the Pythagorean theorem.
For triangle ACB:
7^2=(AC)^2+(BC)^2 (1)
For triangle ACD:
(AC)^2=3^2+(CD)^2 (2)
For triangle DCB:
(BC)^2=(CD)^2+4^2 (3)
To make things simpler, we let
(AC)=x
(BC)=y
(CD)=z
Hence we have:
49=x^2+y^2 (1)
y^2=z^2+16 (2)
x^2=9+z^2 (3)
To solve for the unknown c, let us first substitute equation (2) in (1)
49=x^2+z^2+16
33=x^2+z^2 (4)
Then, we can substitute equation (3) in (4)
33=9+z^2+z^2
24=2z^2
z^2=12
z=2sqrt(3)
Thus, the length of z or (CD) is 2sqrt(3) in simplest radical form.
Well for starters, you would plot a point on the coordinates of (0,-2) and would then plot points that rise 2 and move one to the right. Rise over run = 2/1
Answer:
350 Miles
Step-by-step explanation:
140/40 = x/100
x = 350
350 Miles
If each student gets 5 inches, then 13 would receive it. I hope this is what you're asking
Answer:
7280000000 or 7.28^9 (in scientific notation)
Step-by-step explanation:
this question is asking you to transfer numbers out of scientific notation and multiply them. 10^6 is 1 followed by 6 zeros (good trick to remember) or 1000000. when you multiply anything by a power of 10 you just add that many zeroes to it or move the decimal point one point to the left for every zero. so in this example it is 5.2 times 1000000 which is 5200000. we do the same for the other one and we get 1400. When we multiply these two values we get 7280000000 or 7.28^9
