Answer:
1. k≤ 26.11 hours
2. 5 ≤ x ≤ 6
Step-by-step explanation:
1.
38.76 + 2.69k ≤ 109
2.69k ≤ 70.24
k ≤ 26.11 hours
2.
19 ≤ 4 + 3x ≤ 22
15 ≤ 3x ≤ 18
5 ≤ x ≤ 6
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
GCF is 9
Step-by-step explanation:
Factor out 9 and divide what's in the parentheses by 9
9(7+5b)
Answer:
about 37% chance or, rounding to the nearest tenth, 36.5% chance
Step-by-step explanation:
since there are only 6 black face cards out of 52 cards, so the fraction is 6/52
there are also 13 spade cards out of 52 cards, so the fraction is 13/52
to find the percent you have to add the two fractions becuase all you want to do is draw a black face card or a spade card. when you add them you get 19/52
then dividing the fraction gives you .3653846154 on my calculator :)
9514 1404 393
Answer:
-2x +4
Step-by-step explanation:
We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...
p(x) = (x+2)(x-3)q(x) +ax +b
Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...
p(-2) = 8 = -2a +b
p(3) = -2 = 3a +b
Subtracting the first equation from the second gives ...
(3a +b) -(-2a +b) = (-2) -(8)
5a = -10
a = -2
Then the first equation tells us ...
8 = -2(-2) +b
4 = b
So, the remainder from division by (x^2 -x -6) is (-2x +4).
Given b=4 and ∠β=20°,
a = 10.98991
c = 11.69522
∠α = 70° = 1.22173 rad = 7/18π
h = 3.75877
area = 21.97982
perimeter = 26.68513
inradius = 1.64735
circumradius = 5.84761
a
b
c
Calculation Steps
The following is one way to perform the calculation. It may not be the best way.
c =
b
sin(β)
= 11.69522
a = √c2 - b2
= √11.6952176006522 - 42
= √120.77811472661
= 10.98991
∠α = 90° - ∠β
= 70° = 1.22173 rad = 7/18π
area =
a × b
2
=
10.989909677818 × 4
2
= 21.97982
perimeter = a + b + c
= 10.989909677818 + 4 + 11.695217600652
= 26.68513
inradius =
a × b
a + b + c
=
43.959638711274
26.685127278471
= 1.64735
circumradius =
c
2
=
11.695217600652
2
= 5.84761
- ror
