Answer:
25 in
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Identify</u>
Leg a = 24
Leg b = 7 in
Leg c = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 24² + 7² = x²
- Evaluate exponents: 576 + 49 = x²
- Add: 625 = x²
- [Equality Property] Square root both sides: 25 = x
- Rewrite/Rearrange: x = 25
Answer:
H affects horizontal shift (shift to the right or left) means moves graph right or left
Step-by-step explanation:
Answer:
25%.
Step-by-step explanation:
Let E be the event that the dart lands inside the triangle.
We have been given that a rectangular board has an area of 648 square centimeters. The triangular part of the board has an area of 162 square centimeters.
We know that probability of an event represents the chance that an event will happen.
![\text{Probability}=\frac{\text{Favorable no. of events}}{\text{Total number of possible outcomes}}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%7D%3D%5Cfrac%7B%5Ctext%7BFavorable%20no.%20of%20events%7D%7D%7B%5Ctext%7BTotal%20number%20of%20possible%20outcomes%7D%7D)
![\text{Probability that dart lands inside the triangle}=\frac{\text{Area of triangle}}{\text{Area of rectangle}}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20that%20dart%20lands%20inside%20the%20triangle%7D%3D%5Cfrac%7B%5Ctext%7BArea%20of%20triangle%7D%7D%7B%5Ctext%7BArea%20of%20rectangle%7D%7D)
![\text{Probability that dart lands inside the triangle}=\frac{162}{648}](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20that%20dart%20lands%20inside%20the%20triangle%7D%3D%5Cfrac%7B162%7D%7B648%7D)
![\text{Probability that dart lands inside the triangle}=0.25](https://tex.z-dn.net/?f=%5Ctext%7BProbability%20that%20dart%20lands%20inside%20the%20triangle%7D%3D0.25)
Convert into percentage:
![0.25\times 100\%=25\%](https://tex.z-dn.net/?f=0.25%5Ctimes%20100%5C%25%3D25%5C%25)
Therefore, the probability that dart lands inside the triangle is 25%.
Number 3 is 1/6 to role a 1 on the second roll is 1/36= 1/6 X 1/6
to get 2 on the third role is 1/216 so the probability is 1/216
Step-by-step explanation:
the table is non-existent