Answer:
She has 20 quarters.
Step-by-step explanation:
Alissa emptied her piggy bank for Disney world. She had $7.70.
If she had 10 pennies and twice as many times as quarters, then we can write the equation as
Q = 2P {Where, Q represents the number of quarters and P for pennies}
⇒ Q = 10 × 2
⇒ Q = 20
So, she has 20 quarters.
Therefore, she has 20 quarters. (Answer)
Let x and x+1 represent the consecutive integers, then x is the other leg and x+1 is the hypotenuse (because the hypotenuse must be greater than its sides).
Use Pythagorean Theorem:
a² + b² = c²
(77)² + x² = (x+1)²
5929 + x² = x² + 2x + 1
5928 = 2x
2964 = x
x+1 = 2965
Answer: The other leg is 2964 m and the hypotenuse is 2965 m
Answer:
22.2 ft²
Step-by-step explanation:
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 7.13² × 
=
≈ 22.2 ft² ( nearest tenth )
There are 3 outcomes in each game.
For 1st game, there can be either win (W), lose(L) or Tie (T).
For each of these outcome, there can be 3 possible outcomes in 2nd game i.e. either W, L or T
So, the tree diagram will have 3 branches, each further dividing into 3 more branches(nodes)
Thus option C gives the correct tree diagram.
So the first thing that happens here is that the triangle is rotated 90 degrees clockwise. This can be seen because it is rotated, then you also notice that the triangle is reflected across the y axis.