Answer:
sin-¹(10/11)
Step-by-step explanation:
The height of the building is 100 ft and the ladder is 110ft long .We can imagine this situation as a right angled ∆. For figure refer to the attachment .
- We can use ratio sine here. Let the angle of elevation be theta.
<u>In </u><u>∆</u><u> </u><u>ABC </u><u>:</u><u>-</u><u> </u>
=> sinθ = p/h
=> sinθ = 100ft / 110 ft
=> sinθ = 10/11
=> θ = sin -¹ ( 10/11) .
<h3><u>Hence </u><u>the</u><u> </u><u>angle</u><u> of</u><u> elevation</u><u> </u><u>is </u><u>sin </u><u>-</u><u>¹</u><u> </u><u>(</u><u> </u><u>1</u><u>0</u><u>/</u><u>1</u><u>1</u><u>)</u><u>. </u><u> </u></h3>
Ok I took it in steps the answer that is 100% more certain is 1/8. The fraction is 1/8 that they take home.
Answer:
x = 4 or x = 12
Step-by-step explanation:
Given:
y = -10x² + 160x - 430
When y = $50
50 = -10x² + 160x - 430
50 + 430 = -10x² + 160x
480 = -10x² + 160x
-10x² + 160x - 480 = 0
Divide through by -10
x² - 16x + 48 = 0
Solve the quadratic equation using factorization method
+48 = -12 × -4
-16 = -12 -4
Therefore,
-12 and -4 are both factors
x² - 16x + 48 = 0
(x - 4 )(x - 12 ) = 0
x - 4 = 0
x = 4
OR
x - 12 = 0
x = 12
The probability that she picks two white socks is 0.0357
<h3>How to determine the probability?</h3>
The given parameters are:
Socks = 8
Black = 4
White = 2
Brown = 1
Red = 1
The probability of picking a white sock at first is:
P(White) = 2/8
Now, there are 7 socks left
The probability of picking a white sock next is
P(White) = 1/7
The required probability is:
P = 2/8 * 1/7
Evaluate
P = 0.0357
Hence, the probability that she picks two white socks is 0.0357
Read more about probability at:
brainly.com/question/251701
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Answer:
(7 , 7.75)
Step-by-step explanation:
