Answer:
x = 4.5
Step-by-step explanation:
thesetwo triangles are similar to we can create a proportion from corresponding sides as follows:
4/9 = 2/x
cross-multiply:
4x = 18
x = 4.5
Answer:
x=5
Step-by-step explanation:
Answer:
They are both the same at 3/4 of an hour
Step-by-step explanation:
We have a system of equations here. The first one is for Friday:
3A + 5B = 6, which says that 3 people at the number of hours for plan A plus 5 people at the number of hours for plan B equals 6 hours total.
The second equation is for Saturday:
9A + 7B = 12, which says that 9 people at the number of hours for plan A plus 7 people at th number of hours for plan B equals 12 hours total.
We can solve this easily using the addition/elimination method. Begin by multipying the first equation through by a -3 to eliminate the A's. That gives you a new first equation of:
-9A - 15B = -18
9A + 7B = 12
You can see that the A's are eliminated, and adding what remains leaves us with
-8B = -6 so
B = 3/4 hour
Now we can sub that back in for B in either one of our original equations to solve for A. I changed the 3/4 to .75 for ease of multiplying:
9A + 7(.75) = 12 and
9A + 5.25 = 12 and
9A = 6.75 so
A = .75 which is also 3/4 of an hour
Surface Area =<span> (2 • <span>π <span>• r²) + (2 • <span>π <span>• r • height)
</span></span></span></span></span>
Surface Area =<span> (2 * PI * 6^2) + (2 * PI * 6 * 12)
</span>
<span>Surface Area =<span> (72 * PI) + (144 * PI)
</span></span>
<span><span>Surface Area = </span>216 * PI
</span>
<span><span><span><span>Surface Area = </span>678.584
</span>
</span>
</span>
Answer:
(- 5, 8 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x + 5)² + (y - 8)² = 1 ← is in standard form
with centre (h, k ) = (- 5, 8 )