An isosceles triangle contains an 2 identical sides and a hypotenuse. The hypotenuse of an isosceles triangle measures √2 as compared to its sides which is 1. In conclusion, to get the sides of an isosceles triangle when given the length of its hypotenuse, divide the length of its hypotenuse by √2 and you should be able to get the length of its sides.
Formula for sufrace area of rectangular prisms: S= 2 (lw + lh + wh)
for the first prism, x=14, plug 14 into 2(x)--> 2(14)=28
7,8,28
S= 2 [7(8)+7(28)+8(28)]
S= 2 (28+196+224)
S= 2(448)
S= 896
for the second prism, x is just 14
7,8,14
S= 2 [7(8)+7(14)+8(14)]
S= 2 (28+98+112)
S= 2(238)
S= 476
Add the two sufrace areas we found and the answer will be
D) S= 1,372
Answer:
1, 2, and 6
Step-by-step explanation:
5*.25=1.25 7*.25=1.75 12*.25=3
Answer:
(-3, 4)
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
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -x + 1
2x + 3y = 6
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 3(-x + 1) = 6
- Distribute 3: 2x - 3x + 3 = 6
- Combine like terms: -x + 3 = 6
- Isolate <em>x</em> terms: -x = 3
- Isolate <em>x</em>: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
Answer:
0.0158 = 1.58% probability that all of them are under 18.
Step-by-step explanation:
Probability of independent events:
If three events, A, B and C are independent, the probability of all happening is the multiplication of the probabilities of each happening, that is:
The percentage of people under the age of 18 was 23.5% in New York City, 25.8% in Chicago, and 26% in Los Angeles.
This means that 
If one person is selected from each city, what is the probability that all of them are under 18?
Since the three people are independent:
0.0158 = 1.58% probability that all of them are under 18.
