Answer:
Part A:
0.1111111111111 = 1/9
Part B:
3
Step-by-step explanation:
Part A:
When I put 0.111111111 into my calculator I get a conversion of 1/9.
Part B:
The fraction 1/9 means that for every 9 kids he surveyed, 1 of them replied "yes."
So covert 1/9 into x/27
27/9 = 3 which means 9 goes into 27, 3 times.
Multiply 1 by 3.
1 x 3 = 3
Put into fraction form
3/27
This means 3 students out of 27 answered "yes."
They diagonal through the interior of the cube is the longest. The hypotenuse is the longest side of a right triangle. The diagonal of the cube is the hypotenuse of a right angle with legs that are diagonal of a face and an edge. The edges are the shortest. They are legs of a right triangle with the diagonal of a face as the hypotenuse.
Answer:

Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

So rewriting both equations using the tangents values, we have that:


From the first equation, we have that:

Using this value of x in the second equation, we have that:




