Answer:
cot θ = √15 / 7
Explanation:
csc θ = 1 / sin θ
In a right angled triangle, sin θ = opposite / hypotenuse
This means that:
csc θ = hypotenuse / opposite = 8 / 7
So, we have:
opposite = 7 units and hypotenuse = 8 units
We will use the Pythagorean theorem to get the adjacent side as follows:
(hypotenuse)^2 = (opposite)^2 + (adjacent)^2
(8)^2 = (7)^2 + (adjacent)^2
(adjacent)^2 = 15
adjacent = √15 units
Now, we want to get the value of cot θ.
We know that:
cot θ = 1 / tan θ
Since tan θ = opposite / adjacent
Therefore:
cot θ = adjacent / opposite = √15 / 7
Hope this helps :)
Answer:
option B
Step-by-step explanation:
<em>Increase indicated when new amount is greater than original amount</em>
- A.Original amount = 978 New amount = 118 Percent change = 87%
- decrease
- B.Original amount = 574 New amount = 678 Percent change = 18%
- <u>increase</u>
- C.Original amount = 1,055 New amount = 1,000 Percent change = 5%
- decrease
- D.Original amount = 1,254 New amount= 1,045 Percent change = 17%
- decrease
Simply add the two numbers;
Beginning Balance: $ 54.40
Add: cash deposit <u> $ 150.00</u>
Ending Balance $ 204.40
ANSWER IS C. $204.40
The anwser is 5x-3 because you remove the parentheses and pair like terms
Answer:C. 58 bicycles and 62 tricycles.
Step-by-step explanation:58x2= 116
62x3=186; you then add both total amount of wheels (186+116= 302)