Answer:

Step-by-step explanation:
*Missing Part of the Question*
4 stars
5 triangles
3 circles
3 squares
Required
Determine the probability of triangle being first then square being second


Represent the triangle with T and square with S
So, we're solving for P(T n S)

Solving for P(T)


Solving for P(S)
The question implies a probability without replacement;
Hence Total has now been reduced by 1
Total = 14


Recall that




Hence, the required probability is

Answer:
- Perimeter = 22*sqrt(2)
- Area = 60.5 inches
- D
Step-by-step explanation:
Remark
You need 2 facts.
- A square has 4 equal sides.
- It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.
That means you can use the Pythagorean Theorem.
If one side of a square is a then the 1 after it is a as well.
Formula
- a^2 + a^2 = c^2
- 2a^2 = c^2
Givens
Solution
- 2a^2 = 11^2
- 2a^2 = 121 Divide by 2
- a^2 = 121/2 Take the square root of both sides
- sqrt(a^2) = sqr(121/2)
- a = 11/sqrt(2) Rationalize the denominator
- a = 11 * sqrt(2)/[sqrt(2) * sqrt(2)]
- a = 11 * sqrt(2) / 2
<em><u>Perimeter</u></em>
P = 4s
- P = 4*11*sqrt(2)/2
- P = 44*sqrt(2)/2
- P = 22*sqrt(2)
You don't need the area. The answer is D
<em><u>Area</u></em>
- Area = s^2
- Area = (11*sqrt(2)/2 ) ^2
- Area = 121 * 2 / 4
- Area = 60.5
First, find 25% of 49.95. Turn 25% into a decimal by dividing by 100.
25% ⇒ 0.25
Now, multiply 0.25 by 49.95.
0.25 × 49.95 = 12.46
25% of 49.95 is 12.46, so subtract 12.46 from 49.95.
49.95 - 12.46 = 37.49
<h2>Answer:</h2>
<u>The discounted price of the jacket is </u><u>$37.49</u><u>.</u>
Now find 8% of 37.49.
8% ⇒ 0.08
Multiply 0.08 by 37.49.
0.08 × 37.49 = 2.99
<h2>Answer:</h2>
<u>The tax is </u><u>$2.99</u><u>.</u>
To find the full price, add 37.49 and 2.99 together.
37.49 + 2.99 = 40.48
<h2>Answer:</h2>
<u>The final cost is </u><u>$40.48</u><u>.</u>
Answer:
A. 8n-10
Step-by-step explanation:
8n2−26n+20/n−2
=2(4n−5)(n−2)/n−2
=8n−10