Answer:
The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.
Step-by-step explanation:
You have to make the expressions into the same base :
Next, you have to apply Indices Law :
Answer:
1/9
Step-by-step explanation:
Because
P(both socks are white)= 2/18
Answer: 40 students.
Step-by-step explanation:
To solve this problem you mmust apply the steps shown below:
1. You know that there is a total of 100 students, then you can say that the 100% is 100 students.
2. Then, to calculate how much would 40% be, you must multiply 100 students by 40% which you rewrite as a decimal by dividing it by 100, as following:
40%/100=0.4
Then 40% of the students would be
100 studens*0.4=40 students
The length of the guy's wire to the nearest foot is 89 feet.
The situation forms a right-angled triangle.
<h3>Properties of a right angle triangle:</h3>
- A right-angle triangle has one angle of 90 degrees.
- The sides can be found using the Pythagoras theorem.
- The angles can be found using trigonometric ratios.
The hypotenuse of the triangle is the length of the wire.
let's use the smaller triangle to find the angle opposite the tower. Therefore,
tan ∅ = opposite / adjacent
tan ∅ = 5 / 2
∅ = tan⁻¹ 2.5
∅ = 68.1985905136
∅ = 68.20°
Therefore,
cos 68.20 = adjacent / hypotenuse
cos 68.20 = 33 / hypotenuse
hypotenuse = 33 / cos 68.20
hypotenuse = 88.8606843161
Therefore,
length of wire ≈ 89 feet.
learn more on triangles here; brainly.com/question/25762788?referrer=searchResults
