Given point
A = (-3,-5)
B = (2,5)
AB = {(x1+x2)/2 , (y1+y2)/2}
AB = {(-3+2)/2 , (-5+5)/2}
:. AB = (-0.5 , 0)
The distance around the perimeter would be 120 ft.
<h3 /><h3>What is perimeter?</h3>
Perimeter is the distance around the edge of a shape.
The complete question is
A garden is designed in the shape of a rhombus formed from 4 identical 30°-60°-90° triangles. The shorter distance across the middle of the garden measures 30 feet.
A rhombus is shown. Lines are drawn from each point to the opposite point to form 4 right triangles. The other 2 angle measures are 30 and 60 degrees. The base length of each triangle is 15 feet.
What is the distance around the perimeter of the garden?
let AE is the half of the diagonal AC.
AC = 30 ft.
So, AE = ½ * 30
AE = 15 ft
Now, using trigonometry
sin 30 = 15/AD
0.5= 15/AD
AD= 30 ft
Hence, distance around the perimeter would be: AD+AD+AD+AD=
=30 ft + 30 ft + 30 ft + 30 ft
= 120 ft.
Learn more about this concept here:
brainly.com/question/16400817
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Answer:
There are 11 four person passengar cars
Step-by-step explanation:
let's call the number of four person cars A , & the number of six person cars B
there are 3 less 6 person cars than 4 people cars which can be written as:
A - 3 = B
there are also 92 total people that can go on max on the whole ride which can be written as:
4A + 6B = 92
Now we need to subsitute in our first equation into the second, so:
4A + 6(A-3) = 92
then distrbute the 6:
4A + 6A - 18 = 92
bring like terms to the same side & consolidate:
4A + 6A = 92 + 18
10A = 110
divide the right by # of A to get a single term :
A = 110/10
A= 11
Answer:
5r^3 + 4r^2 - 8r + 16
Step-by-step explanation:
(8 + 5r^3 - 2r^2) - (8r - 8 - 6r^2) =
The first set of parentheses is there just to show you that what is inside is a polynomial. The second set of parentheses has a second polynomial inside. The subtraction sign just to the left of the second set of parentheses shows that you are subtracting the second polynomial from the first one.
The first set of parentheses is not needed and can be dropped.
You are subtracting the second polynomial fromt he first one, so you can think of the the subtraction sign as a -1, and you need to distribute the -1 by the second polynomial, That will result in all signs inside the second set of parentheses changing.
Below, just the first set of parentheses is removed.
= 8 + 5r^3 - 2r^2 - (8r - 8 - 6r^2)
Now, we change every sign inside the second set of parentheses by distributing -1.
= 8 + 5r^3 - 2r^2 - 8r + 8 + 6r^2
Now we need to combine like terms. Like terms have the same variable part. We can rearrange the terms grouping like terms together before combining them. Also, it is customary to list the terms in descending order of degree.
= 5r^3 - 2r^2 + 6r^2 - 8r + 8 + 8
Now we combine like terms.
= 5r^3 + 4r^2 - 8r + 16
Answer:
For a. divide 125 by 300 then multiply by 100
The answer for a. is 41.66%
For b. convert percentage to decimal divide by 100 then multiply 0.15 by 2.25 to get 0.3375. Round it off to 0.34 and subtract that from 2.25 to get
The answer for b. is $1.91
For c. you have to figure out the difference first. 2.50 minus 2.00 is 0.50
So then what percent of 2.00 is 0.50
Divide 2.00 by 0.50 to get 4.
The answer for c. is 4%
Honestly this was kinda rushed because I'm in the middle of a quiz so yea hope this helps you.
From yours truly to you,
<em>Que</em>.
