Answer:
Step-by-step explanation:
its the first one
8) So remember the sum of all angles inside a triangle is equal to 180°. We first want to figure out the angle below the 110°.
A straight line is 180° so if we do 180 - 110 we get 70° therefore the angle below the 110° is 70°.
So we now know two angles in the triangle, 70° and 80°. Add these and we get 150°. Now we can determine the final angle (the one labelled (2x - 6)) which will be 30°.
So let’s make it into an equation:
2x - 6 = 30
Add 6 to both sides to isolate 2x:
2x = 36
Divide by 2 to get the value of x:
x = 18
10) Since the sum of all angles in a triangle is 180, and there are only 3 angles, we can determine A easily.
B = 10°
C = 160°
So to determine A:
180 - 160 - 10
Which gives us 10
Therefore A = 10°.
So the answers:
8) x = 18
9) A = 10°
I hope this helps you!!
A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms. This can be obtained by understanding what like radicals are.
<h3>Which sets of the radical expressions listed could be considered like terms as written?</h3>
- Radical expression: Radical expression is an equation that has a variable in a radicand (expression under the root) or has a variable with a rational exponent.
For example, √128, √16
- Like radicals: Radicals that have the same root number and radicand (expression under the root)
For example, 2√x and 5√x are like terms.
Here in the question radical expressions are given,
By definition of like radicals we get that 5∛2x and -3∛2x are like terms since root number and radicand are same, that is, root number is 3 and radicand is 2x.
Hence A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms.
Learn more about radicals here:
brainly.com/question/16181471
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Answer:
The correct answer is b.
Step-by-step explanation:
The wave equation is given generally as:
c(x, t) = Acos(kx - wt)
Where A = amplitude
k = wave number
w = angular frequency.
x = horizontal distance moves by the wave.
t = time
The options show to us that the wave depends only on t and not (x, t).
Hence, the wave equation becomes:
c(t) = Acos(wt)
Given that:
A = 5 V
f = 1 * 10⁶ Hz
Angular Frequency, w, is given as:
w = 2πf
w = 2 * π * 1 * 10⁶ Hz
w = 2π(1 * 10⁶)
The wave equation becomes:
c(t) = 5cos(2*π*1*10⁶)
The correct answer is b.
You're very close. However, the less steep line should go through (4,7) and not some point slightly above that location. Also, the shaded region should be above both dashed lines at the same time. So you won't include the portion that I've marked in blue (see attached). Other than that, it looks great.
