Answer:
Step-by-step explanation:
Find the area of each shape, then multiply by 20, then round to nearest hundred.
Half circle:
=πr²/2
=50π
=157.08
Large square:
=L•w
=20(22)
=440
Small square:
=L(w)
=12(3)
=36
Triangle:
=b(h)/2
=8(3)/2
=12
Btu req:
=(157.08+440+36+12)(20)
=(645.08)(20)
=12901.6
=12900 BTU
Answer:
0.80589
Step-by-step explanation:
So all of the numbers of correct answers less than 4 are 0,1,2,3
We need to calculate the probability for each separately and then add them together.
To find the probability we have to first find the combination. We know that there’s n=8 trials and that p=0.3. So 1-0.3 gives us 0.7.
The combination formula is: ! / (!(−)!)
So the n would always =8, and the r would be 0,1,2,3. So you would have to calculate it for 0,1,2,3 Separately. This can be done by hand or you can use a simple combinations calculator online.
For 0;
The combination is 1,
1 x 0.3^0 x 0.7^8-0 =
0.057648
For 1;
The combination is 8,
8 x 0.3^1 x 0.7^8-1 =
0.19765
For 2;
The combination is 28
28 x 0.3^2 x 0.7^8-2 =
0.296475
For 3;
The combination is 56
56 x 0.3^3 x 0.7^8-3 =
0.254122
All that’s left is to add these four numbers;
0.057647 + 0.19765 + 0.296475 + 0.254122 = 0.80589
Answer:
13-13x
Step-by-step explanation:
3*2=6
(6-5x+6) + (9-8x-8)
Combine Like Terms
(12-5x) + (1-8x)
Put x on one side and numbers on the other.
(12+1) + (-5x+ (-8x))
13-13x
Answer:
36 - 18 longest side = 18
Step-by-step explanation: This would mean both sides are 18.
Answer:
1269 square meters
Step-by-step explanation:
The path and the plot of land form two concentric circles (they have the same center). The radius of the plot of land is 100m (half of the diameter) and the radius of the larger circle, formed by putting a 2m wide path around the plot of land, is 102m. Thus, the area of the path is
minus
which will be
which is
. Estimate
to 3.141 and calculate, getting 1268.964... which is 1269, rounded to the nearest square meter.
Hope this helps :)