Answer:
21
Step-by-step explanation:
-5 - 2= -7
-7*-3=
<h2>
21</h2>
35. is c : square root of 64 is 8 and the square root of 8 can be simplifed to 4 x 2, square root of 4 is 2
36 is d : Denominator of the fraction represents what it is being rooted by and the numerator is what the regular number is squared by.
<h3>
Answer: Choice A. 8pi feet</h3>
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Explanation:
The perimeter around the circle is known as the circumference
The full circumference of a circle with radius r is
C = 2*pi*r
In this case, r = 16 is the radius, so,
C = 2*pi*r
C = 2*pi*16
C = 2*16*pi
C = 32pi
is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get
(1/4)*32pi = (1/4*32)pi = 8pi
The arc length is exactly 8pi feet long
Approximately this is about 25.13274 feet
Answer:
7.
Solution given;
male=15
female=27
1st term=5*3
2nd term=3*3*3
now
Highest common factor=3
So
<u>The</u><u> </u><u>maximum</u><u> </u><u>number</u><u> </u><u>of</u><u> </u><u>groups</u><u> </u><u>that</u><u> </u><u>the</u><u> </u><u>teacher</u><u> </u><u>can</u><u> </u><u>make</u><u> </u><u>is</u><u> </u><u>3</u><u>.</u>
<u>and</u><u> </u><u>each</u><u> </u><u>team</u><u> </u><u>contains</u><u> </u><u>5</u><u> </u><u>male and</u><u> </u><u>9</u><u> </u><u>female</u><u>.</u>
Part A.
The trip starts at 8am which corresponds to 0 hrs, point (0hr, 0mi)
2hrs later it's 10am. .point (2hr, 140mi)
The average speed is the slope between 0 and 2 hrs. Remember the slope formula m = Δy/Δx
m = (140 - 0) / (2 - 0)
m = 70 mph
Part B. Average speed from 11am - 2pm
11am is point (3hr, 140mi)
2pm is point (6hr, 300mi)
As you can see from the graph, the speed or slope changes at 1pm (5,260). You Can just use the start and end points.
m = (300-140) / (6-3)
m = 160/3
53.3 mph
* It comes out the same solution as if you average the two different slopes. 2hrs at 60mph + 1 hr at 40mph = (120 + 40)/3 = 160/3
Part C. Total average speed = total distance / total time driving
He went 70 mph for 2 hrs
stopped for an hour (slope is zero, no speed)
60 mph for 2hrs
40mph for 1 hr
300mi /5hr = 60mph
Part D. No Question....
