Answer:
27
Step-by-step explanation:
If you have an exponent that is a fraction, you need to make a radical with the index from the denominator and an exponent of the radicand from the numerator.
(243)^3/5=(
)
This would come out as
. this further simplifies down to the final answer of 27
Answer:

Step-by-step explanation:
use y = mx + b where:
y = y-coordinate = 6
m = slope = -1/4
x = x-coordinate = -2
b = y-intercept = what we're solving for to complete the equation
plug the values into the equation
multiply
and 2
subtract
from both sides

now we plug m and b into the equation and leave x and y as variables to get the final equation:

You find the rates of each computer on its own...
One does the job in 55 minutes which we can say is 1/55
The other has a rate of 1/45.
The question wants to know how long it would take both working simultaneously to complete the job...
t/55+t/45=1
(9t+11t)/495=1
20t=495
t=24.75 minutes (24:15)
Answer:
1) No
2) Yes
3) angle UXS = 120 degrees
4) arc CB = 40 degrees
Step-by-step explanation:
If AB is tangent to the circle, then angle at A would be 90 degrees.
1)
Is 13^2 + 14.6^2 = 19.4^2?
169 + 213.16 = 376.36 No
2)
Is 8^2 + 6^2 = 10^2?
64 + 36 = 100 Yes
3)
arc WS = arc VU + arc TU = 113 degrees
arc ST = arc WV because their chords cross making a pair of vertical angles.
full circle = 360 degrees
360-113 - 113 = 134 degrees
134/2 = 67 degrees for arc ST
arc STU = 67 + 53 = 120 degrees
Angle UXS = 120 degrees
4) arc CB = arc FB = 40 degrees because their chords cross making a pair of vertical angles.
1/7<span> = 0.</span><span>142857 since this decimal is repeating divide 45/6(number of repeating numbers) and it gives you 7.5 so you know that it repeats this sequence 7 times plus an extra 3 numbers so the 45th decimal is 2</span>