9514 1404 393
Answer:
(c) 14.5 cm
Step-by-step explanation:
The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(65°) = BC/BA
BC = BA·sin(65°) ≈ (16 cm)·0.9063 ≈ 14.501 cm
BC ≈ 14.5 cm
_____
<em>Additional comment</em>
As is often the case, a simple estimate is all that is needed to identify the correct answer choice.
You only need to know how the long side of a right triangle compares to the others. In an isosceles right triangle, both legs are √2/2 ≈ 0.71 times the hypotenuse. The long side of a right triangle will never be shorter than that. This means the long side must be greater than about 11.2, and cannot be greater than 16. There is only one answer choice in that range.
Start off by stating your facts. You have a maximum of $8.75. We know that each quarter is 25 cents so we multiply 25x26 equaling 650. Yet we need a decimal so it would be $6.50. Each nickel is worth 5 cents so then you would minus $8.75 and $6.50 getting us to $2.25. Now divide it by 5 cents and you should get 45 nickels. You can also do this by stating that 10 nickels is 50 cents and go until you get 45
Answer: The third option is correct
Step-by-step explanation: With increased trials, experimental probability will grow closer to theoretical probability. Blue pens make up 1/2 of the probability pool.
First you subtract 9x from y and you get 45 - 9x = -y and you don't want negatives so you switch all the signs to get y = -45 + 9x
Answer:
Step-by-step explanation:
Given :
QR⊥PT
To Prove :
Solution:
Statements Reasons
QR⊥PT Given
∠QRP and ∠SRT are right angles Def of perpendicular
∠QPR≅∠STR Given
∠QRP = ∠SRT All right angles are equal
ΔPQR≈ΔTSR AA similarity
Hence
