Answer:
<em>Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)</em>
<u>Use tangent:</u>
- tan x = 8/15
- x = arctan (8/15)
- x = 28.1° (rounded)
Let
x--------> the border’s length
y--------> the border’s width
P--------> perimeter of the border
we know that
x=5+y------> equation 1
P=2*[x+y]-----> P=2x+2y
P <=180 ft
(2x+2y) <= 180-------> equation 2
substitute the equation 1 in equation 2
2*[5+y]+2y <= 180
10+2y+2y <= 180
4y <= 180-10
4y <=170
y <=42.5 ft
so
the maximum value of the width is 42.5 ft
for y=42.5 ft
x=42.5+5------> x=47.5 ft
the answer is
the width of the border is less than or equal to 42.5 ft
I agree with the other person that this is 25% error
Answer:
Proved,
P(A∪B)=0.72
Step-by-step explanation:
Sue travels by bus or walks when she visits the shops.
Probability( catch the bus to the shop ), P(A) = 0.4
Probability( catch the bus from the shop ), P(B) = 0.7
Both A and B are independent events.
Therefore,
P(A∩B) = 0.4×0.7
= 0.28
Probability Sue walks one way = 1 - P(A∩B)
= 1 - 0.28
= 0.72
Hence, the probability that Sue walks at one way is 0.72
The law of detachment<span> allows you to "detach" the hypothesis from the conclusion. If we know both that </span>p<span> and </span>p<span> → </span>q<span> to be true, then we may conclude that </span>q<span> is true.
So the answers is the fourth one: I</span>f p <span>→</span><span> q is a true statement and p is true, then q is true.</span>
