Answer:
Step-by-step explanation:
The first thing to do is solve for the root. A trick is to ignore the numerator and only focus on the denominator in the root. So it is a third root so you have to find out what multiplied by itself three times is 343. The correct answer for that is 7. So now we must introduce the numerator back, so it would be:
I'll show the new expression below.
Second order of business is to multiply the second half of the expression. Easy enough the 7 cancels out the 1/7. New expression below.
Now just solve for that.
Answer:
D. Yes by SAS Similarity Postulate
Step-by-step explanation:
This is the answer because if you flip triangle LNM around to shape the DEF. Then you will see that:
1. angle D is congruent to angle L
2. angle E is congruent to angle N
3. angle F is congruent to angle M
4. angle E and N are both 90 degrees
Because (DE and LN) and (MN and FE) are similar and (E and N) are 90 degrees, then we do not need (FD and ML) to tell if triangle DEF and triangle LNM is similar or not. They are similar.
We next need to figure out if the triangles are similar by SSS (Side-side-side) Similarity Postulate or SAS (side-angle-side) Similarity Postulate. The SAS Similarity Postulate states that if you have 2 similar sides and 1 congruent angle, then the two shapes are similar. Right now we have 2 similar sides in (DE and LN) and (MN and FE) and 1 congruent angle that are both 90 degrees. This follows all the rules of the SAS Similarity Postulate, so that means that these two triangles are similar by SAS Similarity Postulate.
Answer:
0.77 M
Step-by-step explanation:
I'm going to assume this is a half-circle
Formula:
A = (πr^2)/ 2
D = 1.4
r = 0.7
A = (π 0.7^2)/2
A = (0.49π)/2
A = 0.7693
A = 0.77
Answer:
Step-by-step explanation:
1) For each situation to grow or decay by a constant percent rate, it must be exponential. Therefore, the correct examples are
A. The number of cars sold doubles every year. It is a 200% growth every year.
D. Each time you start a car engine the remaining engine life decreases by 0.0075%. A case of decay
E. The number of people creating cat videos increases by 15% percent every year.
F. Computer technology increases by a factor of 3 every five years.
2) this is a case of exponential decay. The expression for exponential decay is
y = b(1 - r)^t
y = final value
b = initial value
r = decay rate
t = time
Given that
r = 10% = 10/100 = 0.1
b = 50 kilograms
y = W kilograms
The relationship is
W = 50(1 - 0.1)^t
W = 50(0.9)^t
Answer:
BELOW
Step-by-step explanation:
DO I HEAR 100 POINTS? Yes.
For the first image, that answer is A.
For the second image, I'm a bit confused on which problems you want me to do, so I'll do number 10, 11, and 14.
10) Yeah, you're correct, it is J.
11) (1,-6), (-2,-5), (8,2) (4,0) and I can't see the last point so..
14) Can't see the question :(
