Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:
And its value is 180:
Multiplying by 2:
Operating:
Factoring:
The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
Solution:
Number of times a die is rolled = 20
1 - 3=A
2 - 5=B
3 - 4=C
4 - 2=D
5 - 3=E
6 - 3=F
Total number of arrangements of outcomes , when a dice is rolled 20 times given that 1 appear 3 times, 2 appears 5 times, 3 appear 4 times, 4 appear 2 times , 5 appear three times, and 6 appear 3 times
= Arrangement of 6 numbers (A,B,C,D,E,F) in 6! ways and then arranging outcomes
= 6! × [ 3! × 5! × 4!×2!×3!×3!]
= 720 × 6×120×24×72→→[Keep in Mind →n!= n (n-1)(n-2)(n-3)........1]
= 895795200 Ways
Tax = 7.65% of $23, 750
Tax = 0.0765 x 23750
Tax = $1816.88 (nearest hundredth)
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Rachel needs to pay $1816.88 for FICA tax
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The wind is blowing at the rate of 4 miles per hour
<h3>Speed and distances</h3>
The formula for calculating speed is expressed as:
Speed = Distance/Time
Given the following parameters
Speed of airplane = 18 miles per hour
Speed in wind = 2.2 * 10 = 22 miles/hr
Speed of the wind = 22 - 18
Speed of the wind = 4mi/hr
Hence the wind is blowing at the rate of 4 miles per hour
Learn more on speed here: brainly.com/question/4931057
Answer:
1/8
Step-by-step explanation:
1/4 divided by 2
