I'm thinking you would have to add the probabilities that you choose a boy with you choose someone in the science club minus a boy in the science club. You can't count these people twice.
I'm getting 59%
(11+10-2)/32
Answer:
That would be the side-side-side (SSS) postulate, which states that if all the sides of a triangle are in a fixed ratio to all the corresponding sides of another triangle, then the two triangles are said to be congruent.
Step-by-step explanation:
Looking at triangles ABC and DEF, we notice that:

since

Let me know if you have further questions.
Answer:
Area of the rectangle is increasing with the rate of 84 cm/s.
Step-by-step explanation:
Let l represents the length, w represents width, t represents time ( in seconds ) and A represents the area of the triangle,
Given,


Also, l = 12 cm and w = 4 cm,
We know that,
A = l × w,
Differentiating with respect to t,


By substituting the values,



Hence, the area of the rectangle is increasing with the rate of 84 cm/s.
Using the given information, the height of the tree is 48 ft
<h3>Trigonometry </h3>
From the question, we are to determine the height of the tree
In the given diagram, the height of the tree is (x + 5) feet
First, we will determine the value of x
tan 47° = x / 40
x = 40 × tan47°
x = 42.89 ft
∴ The height of the tree = (42.89 + 5) ft
Height of the tree = 47.89 ft
Height of the tree ≈ 48 ft
Hence, the height of the tree is 48 ft.
Learn more on Trigonometry here: brainly.com/question/15821537
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