The picture below shows a box sliding down a ramp: A right triangle ABC has measure of angle ABC equal to 90 degrees and measure
2 answers:
The Image of the triangle is missing and so i have attached it.
Answer:
B: 12 cosec 65°
Step-by-step explanation:
From the diagram attached, we cans see the triangle is a right angle triangle with a given internal angle of 65° and side AB with a length of 12 ft.
Now, we can use trigonometric ratios to find the distance the box has to move from point A to point C which is basically the distance AC.
Now, the given side AB is opposite to the angle. While the required side AC is the hypotenuse.
Thus;
Opposite/hypotenuse = sin θ
Thus;
AB/AC = 12/AC = sin 65
Thus;
AC = 12/sin 65
From trigonometric relationships, we know that;
1/sin θ = Cosec θ
Thus;
AC = 12 cosec 65
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Answer:
The correct options are :
b. 5
e. 25
Step-by-step explanation:
The question is incomplete. The missing part is :
'' Which of these values will prove Sherry's claim is false :
a. 3
b. 5
c. 7
d. 11
e. 25 ''
One way to prove that Sherry's claim is false is finding one odd number greater than 1 that when we replace it in the denominator of the expression the result isn't equivalent to a repeating decimal.
Let's analyze each option :
- a. 3
3 is an odd number greater than 1 ⇒ If we replace in the expression ⇒
≅ 0.3333 (repeating decimal)
The option a. 3 won't prove that Sherry's claim is false.
- b. 5
5 is an odd number greater than 1 ⇒ If we replace in the expression ⇒
The result isn't a repeating decimal.
The option b. 5 will prove that Sherry's claim is false.
- c. 7
7 is an odd number greater than 1 ⇒ If we replace in the expression ⇒
≅ 0.1428 (repeating decimal)
The option c. 7 won't prove that Sherry's claim is false.
- d. 11
11 is an odd number greater than 1 ⇒ If we replace in the expression ⇒
≅ 0.0909 (repeating decimal)
The option d. 11 won't prove that Sherry's claim is false.
- e. 25
25 is an odd number greater than 1 ⇒ If we replace in the expression ⇒
≅ 0.04
The result isn't a repeating decimal
The option e. 25 will prove that Sherry's claim is false.