Answer:
10
Step-by-step explanation:
find the length of each leg, being 6 and 8. Then use the pythagorean theorem a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
c=10
hope this helped... if it did, please let me know by marking me the brainliest:))
Answer:
y=3r-230
Step-by-step explanation:
Subtract the 3r from the first aide to put it along with the 230. Then, we must divide both sides by negative 1 to get y by itself. This gives us y=3r-230.
20 miles an hour is a slope of 20 on the miles versus hours graph.
<em>Graph equivalent ratios following a pattern of moving right 1 and up 2 from the original point. </em>
There's no grid shown. Assuming the ticks are 1 each on x and y, right one up two gives a slope of 2, not 20; check that it doesn't say "up 20". If it does check it, as written don't.
<em>Draw a line from the origin that connects all the points. </em>
Is this one of the checkables? If so CHECK ME. The line will have a constant slope of 20 mph.
Every point on the line is an equivalent ratio.
CHECK ME. Is this different than the last one? Yes, each point on the line has a constant ratio, it's 20 miles per hour.
As the line goes up, the speed increases.
The speed is the slope of the line. As we go along a line with constant slope, the speed doesn't change. Don't check.
Alexander can pick any ratio of miles per hour on the line and he will be biking at 20 mph.
Any pair (h,m) on the line through (0,0) and (1,20) will always have m/h=20mph. He can't really pick any ratio; it's always equivalent to 20mph. But as long as he picks from this line he'll be biking at 20mph, so let's CHECK THIS.
Answer:
14.99 hours
Step-by-step explanation:
The formula for half-life is given as,
R/R' = 2ᵃ/ᵇ...................... Equation 1
Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.
Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours
Substitute into equation 1 and solve for b
1/(0.0156) = 2⁹⁰/ᵇ
Taking the log of both side
log[1/(0.0156)] = log(2⁹⁰/ᵇ)
log[1/(0.0156)] = 90/b(log2)
90/b = log[1/(0.0156)]/log2
90/b = 6.0023
b = 90/6.0023
b = 14.99 hours
b = 14.99 hours.
Hence the half-life of Sodium-24 is 14.99 hours
