<h3>
Answer: Choice D) 22.5</h3>
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Explanation:
x = length of BC
AC = AB+BC
AC = 6 + x
CE = CD+DE
CE = 22+8
CE = 30
Triangles ACE and BCD are similar triangles (can be proven by the AA similarity theorem due to the fact that AE || BD)
Therefore the corresponding sides are proportional letting us set up the proportion below
AC/BC = CE/CD
(6+x)/x = 30/22 .... substitution
22(6+x) = 30x ... cross multiply
132+22x = 30x
132 = 30x-22x ..... subtract 22x from both sides
132 = 8x
8x = 132
x = 132/8 .... divide both sides by 8
x = 16.5
Now use this to find the length of AC
AC = 6+x
AC = 6+16.5
AC = 22.5
Answer:
735 cm²
Step-by-step explanation:
The figure is a trapezium .The area of the triangle section can be calculated using the Heron's formula.
The other part of the figure will be a square of sides 21 cm by 21 cm
<u>Area of the square section</u>
Area = l²
Area = 21* 21 = 441 cm²
<u>Area of the triangle using Heron's formula</u>
Sides of the triangle are ;
a= 28 cm
c= 35 cm
b = 21 cm -----height of the trapezium
The Heron's formula is given as;
where s is half the perimeter of the triangle
Perimeter of the triangle is given as ;
P= 35 + 28 + 21 =84 cm
s= 84/2 = 42 cm
Total area = 294 + 441 = 735 cm²
Answer: The number pi is an irrational number
Step-by-step explanation:
Pi is irrational because it will never end and at the same time doesnt have a pattern in which the numbers repeat. Here are some of the numbers in pi 3.14159265359
The total number of combinations available to just pick 1 t-shirt is 20
<u>Explanation:</u>
Given:
4 different sizes of t-shirts are available
5 different colors of t-shirt are available
Different outcomes if the t-shirts have to be picked one by one:
Different outcomes = 4! + 5!
= 24 + 120
= 144
Number of combinations available to just pick 1 t-shirt is:
Number of combinations = 4 X 5
= 20
Therefore, the total number of combinations available to just pick 1 t-shirt is 20
Answer:
How are we suppose to answer it if it doesnt have any detail or a picture?
