Since one side is 40°, you subtract that from 180.
180° - 40°= 140°.
So therefore your missing side lengths are 140, 40, and 140.
hopefully this helps
Answer:
C
Step-by-step explanation:
This problem is analogous to the extraction of 6 elements from a total of 10 elements. It's the same if they are marbles, chips, or in this case, people, as here we don't care about the order of the selection as we only are drawing a sample.
Thus, the problem implies solving the amount of possible combinations of 10 people if we take by 6. There is a formula for this and is:
10 C 6 = 10!(6!4!)
If we operate, knowing that for any number x, x!=x*(x-1)*(x-2)*...*1
10 C 6 = 10!(6!4!) = 10*9*8*7*6*...*1 / [(6*5*...*1) * (4*3*2*1)]
10 C 6 = 10*9*8*7*6! / [(6*5*...*1) * (4*3*2*1)]
We have a 6! multiplying and another dividing, so they get eliminated, and as 4*2=8 and 9=3*3
10 C 6 = 10*9*8*7*/ [(4*3*2*1)] = 10*3*3*8*7*/ [(8*3*1)]
We can eliminate the 8s and one of the 3s on the numerator with the one on the denominator:
10 C 6 = 10*3*7*/1 = 210/1= 210
So, option C
Answer:
V=3.098 yd³
Step-by-step explanation:
To answer this question we need to work with formula of the Volume of rectangular prism, the patio. Once it is required 1 inch deep. Some relations will be useful.
As 1 yard = 1 feet/3
1 yard = 1 inch/36
1 feet=12 inches
a) 23 feet 9 inches
23 ft 9''=23 +9/12=23.75 ft
b)10 feet 1 inch
10 feet 1" = 10ft + 1/12=10.083 ft
c)4 inches: 4/12 =0.33
V= w.l.h
V=23.75*10.083*0.33=79.025 ft³
Converting from cubic yard to cubic feet:
V≈79.025 : 27 yd³=2.926 yd³
Considering the possible spillage due to uneven base. ( adding 5%of V)
V≈ 2.92+0.05*(2.92)=3.098 yd³
PART ONE:
To put this information into a fraction you write part over whole:
To change this into a decimal you have to plug in 8÷40 into your calculator:
0.2
PART TWO:
After you subtract 8 from 40, there are 32 fifth graders left.
The fraction will look like this:
To change this into a decimal you have to plug in 32÷40 into your calculator:
0.8
I hope this was helpful!
The actual answers is that you would have to swim at 1.25 mph to reach your goal. 48 minutes pet km!
