Answer:
Step-by-step explanation:
Well we can simplify the numerator, by multiplying the 4 by the 6 and the m^3 and m^4 (add the exponents, explained in one of my previous answers I think)
This gives us the fraction: 
We can now divide the m^7 by m^2 by subtracting the exponents, and the reason why this works, is you're simply cancelling out the m's, If we express this in expanded form we have the following fraction: 
Since there is two m's in the denominator and there is also two (more than two) m's in the numerator, we can cancel those two m's out, and we get the fraction:
which can be simplified in exponent form as: 
, now all we have to do is divide the 24 by the 3, to get 8
This gives us the answer:
X represents his unit rate which is answer #1, speed in miles per minute. It wouldn't make sense to have total distance which is #2 because his total distance is what you are using to find out what x is! Then the number of miles he has run so far makes no sense whatsoever so eliminate that, then 4 is basically is the time it takes to run 13.1 miles which is 150. Hope you understand why the answer is 1. and mark as brainliest!
Answer:
m<1 = 76°
m<2 = 104°
m<3 = 76°
m<4 = 104°
Step-by-step explanation:
m<1 and m<3 are vertical angles so, these angles have the same measure of 76°. m<2 and m<4 are also vertical angles which have the same measure. To find m<2, use m<1. m<1 and m<2 are <u>supplementary angles</u> which add up to 180°. Subtract 180 from 76 which is 104.
You can use the Law of Sines for this problem, but what makes it tough at first glance is that they put a step in before you can use it directly. That first step is to get m∠C. When solving a triangle, always get the third angle if you know the other two so that you can use the Law of Sines (or Law of Cosines) more directly.
The sum of the angles of any triangles is 180°. We know the measures of the two other angles. So we subtract them from 180° to find that third angle.
180° - 76° - 66° = 38°
Now we can use the proportion from the picture. Angle B measures 76°, side b is our unknown, Angle C measures 38°, and side c measures 3 units.
sin 76° sin 38°
----------- = -----------
b 3
Cross multiply to find b (the side). We carry out five places in these calculations to get more accuracy.
3 * sin 76° = b * sin 38°
b = 3 * sin 76° 3 * 0.56611 1.69832
--------------- = --------------- = ---------------- = 5.73044
sin 38° 0.29636 0.29636
To the nearest tenth, b - 5.7 units.
The number of hours Jeremiah ironed = 10 hours
The number of hours Tristan ironed = 7 hours
<u>Step-by-step explanation</u>:
- Jeremiah can iron = 35 shirts per hour
- Tristan can iron = 20 shirts per hour
- Total work done by both = 490 shirts
Let 'x' be the number of hours Jeremiah ironed.
Let 'y' be the number of hours Tristan ironed.
x+y = 17 ------(1)
35x + 20y = 490 -------(2)
Multiply (1) by 20 and subtract (2) from (1),
20x + 20y = 340
-(<u>35x + 20y = 490</u>)
<u>-15x = -150 </u>
x = 150/15
x = 10
Substitute x=10 in (1)
10+y = 17
y = 7
