Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for A
A = 180° - (90 + 46)° = 180° - 136° = 44°
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tan46° = =
Multiply both sides by 23
23 × tan46° = b, thus
b ≈ 23.8 ( to the nearest tenth )
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cos46° = =
Multiply both sides by c
c × cos46° = 23 ( divide both sides by cos46° )
c = ≈ 33.1 ( to the nearest tenth )
Answer:
Step-by-step explanation:
Let the total amount ate by Tyler and Han be 24
Let the amount Tyler ate be x
Amount Han ate be y
If Tyler ate 3/4 of the total, then Amount ate by Tyler is expressed as;
x = 3/4of 24
x = 3/4×24
x = 3×6
x = 3(6)
x = 18
Hence the amount Tyler ate is 18
If Han ate 18 less than Tyler, the amount ate by Han will be;
Han y = 24-(3/4(24)
y = 24-{3(6)}
y = 24-18
y = 6
Hence the total Han ate is 6
Answer:
0.1684
Step-by-step explanation:
<em><u>The whole question is attached.</u></em>
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This is a binomial probability question. The formula is:
Where
n is the number in sample (here 36)
p is the probability of "success" (defective means "success", 25% = 0.25)
q is probability of failure (which is 1 - p = 1 - 0.25, q = 0.75)
Now,
we want probability defective LESS THAN 20%, it means:
36* 20% = 7.2
Basically, we want:
P(x < 7.2)
P(x < 7)
Which means P(x < 7) = P(x=0) + P(x=1) + P(x=2) + ..... + P(x=6)
Using cumulative distribution calculator, it will be:
P(x < 7) = <u>0.1684</u>
4+4 is equal to 8
Hope it helps u
Ayra.
Answer:
9 feet
I'm pretty sure. good luck