Answer:
x = 8*root3
y = 16
Step-by-step explanation:
You can use tangent and cosine of 60° to find x and y, BUT THERE'S A SHORTCUT. You pointed out that its a 30°-60°-90° triangle. That is a special right triangle. Here's the shortcut:
the longest side (hypotenuse) is double the shortest side. We have an 8 on the shortest side, so the hypotenuse (longest side) is 16. This ALWAYS works for 30°-60°-90° triangles!
Another shortcut:
The longer leg is the shorter leg × root3.
This ALWAYS works on 30°-60°-90° triangles.
So on your triangle, the short side is 8, that means the longer leg is 8×root3.
ta-daaaa!
Hello, again!!
So, the range is the outcome when you plug in any x. In other words, the y.
Because this is absolute value, the x will turn positive. However, the number will then turn negative.
Therefore, y will ALWAYS be negative.
The answer is C.
Hope this helps!! Let me know if you have ANY questions.
Answer:
15 ft
Step-by-step explanation:
Hi, the illustration for the problem is a right triangle with:
hypotenuse (C)= the length of the ladder = L
horizontal side(A) = distance from bottom of the ladder to the building = L - 6
vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3
So, we can use Pythagoras formula:
A2 +B2= C2
(L – 6 )² + (L-3)² = L²
L²-12L+36+L²-6L+9 =L²
L2 -18L+45 =0
APPLYING QUADRATIC FORMULA WE OBTAIN:
L =15 OR L=3
If L=3
Vertical side = L-3 = 0 (Length can´t be 0)
So L=15
Answer:
option D. 4.7 x 10-4 m
Step-by-step explanation:
<u><em>The correct question is</em></u>
• cell P: 5.0 x 10-4 meters
• cell Q: 3.0 x 10-5 meters
we have
The diameter of cell P is 
The diameter of cell Q is 
Rewrite the diameter of cell P as
Find the difference
Rewrite the difference as
