Answer: <CDB corresponds to <ECD
Step-by-step explanation:
The angles in similar triangles correspond to each other.
For two angles in similar triangles to correspond to each other, then they have to be in the same position in the triangle. (EX: a 90 degree angle corresponds to another 90 degree angle or an angle across from the shortest side corresponds to another angle in the other triangle across from the shortest side)
In this case, <CDB is to the right of the 90 degree angle, so the angle it will correspond to is the angle in the other triangle which is opposite to the 90 degree angle, which is <CED.
<CED is not <ECD, so that answer is wrong.
Tell me if I need to clarify anything - this topic is kind of hard to explain :/
Before we solve for anything, let's remember what our formula is.
The circumference of a circle is 2PiR (2 x Pi x R).
Our radius is 157.64.
Pi is 3.14 (estimated).
Let's plug our numbers into the formula.
Circumference = 2 x 3.14 x 157.64.
2 x 3.14 = 6.28
6.28 x 157.64 = 989.979 (990 if estimated).
Your circumference is:
989.979 ft^2.
I hope this helps!
Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2
2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2
Answer: Two solutions: x=1/2 and x=3/2
percent ---------------- quantity
Acid type I 60.00% ---------------- x liters
acid type II 30.00% ------ 60 - x liters
Mixture 40.00% ---------------- 60
Total 60 liters
60.00% x + 30.00% ( 60 - x ) = 40.00% * 60
60 x + 30 ( 60 - x ) = 2400
60 x + 1800 - 30 x = 2400
60 x - 30 x = 2400 - -1800
30 x = 600
/ 30
x = 20 liters 60.00% Acid type I
40 liters 30.00% acid type II
brainliest plzz
Answer:
17.6 ounces (U.S.) and or 2.2 cups (U.S.)
Step-by-step explanation:
88 ounces divided by 5 equals 17.6 ounces
88 / 5 = 17.6
The remainder can round the answer to 18 (five or more raise the score -- four or less let it rest) but the 88 ounce bag of popcorn will not be even if everyone gets 18 ounces of popcorn
If everyone were to get 18 then the bag a popcorn would have to have 90 ounces of popcorn in it
*Side note: 8 ounces is 1 cup