To answer this problem, we can find to determine angle A first by taking the arc sin of 0.83. Angle A is equal to 33.9. Hence angle B should be 90-33.9 equal to 56.10. sin of 33.9 added to the sin of 56.10 is equal to 1.38. or we can just directly add the cos values since the sin is just the same as the complementary of each
Answer:
26.4
Step-by-step explanation:
<u>Law Of Cosines:</u>

This should work for any side. This can generally be thought as:

If this is too confusing here's the formula for the other sides (which is essentially the same, just different variables)


Anyways now just plug in the known values into the equation

Square and multiply values

Add the values in the numerator

Take the inverse of cosine on both sides

calculate arccosine (inverse cosine) using a calculator

Round to nearest tenth

You ANSWER : x=10 Let's solve !
Explanation : Let's solve your equation step-by-step.
1
3
(
2
x
−
8
)
=
4
Step 1: Simplify both sides of the equation.
1
3
(
2
x
−
8
)
=
4
(
1
3
)
(
2
x
)
+
(
1
3
)
(
−
8
)
=
4
(Distribute)
2
3
x
+
−
8
3
=
4
Step 2: Add 8/3 to both sides.
2
3
x
+
−
8
3
+
8
3
=
4
+
8
3
2
3
x
=
20
3
Step 3: Multiply both sides by 3/2.
(
3
2
)
*
(
2
3
x
)
=
(
3
2
)
*
(
20
3
)
x
=
1
Answer:
Option C)
Step-by-step explanation:
The samples are dependant. There should be a relation between the weights of the students, even though there could be changes, as any value can go up or down. A student with a weight around of 30 has a higher chance of getting a weight around of 35 after the firts year than a student with weight around of 55. This means that the probability a student has for getting certain amount of weight after the first year may change depending on the weight the student had at the start of the year. You can therefore naturally relate the weight a student had before the first year with the weight the student had after the first year.
So, the samples are dependant because there is a natural pairing between the to samples, as option C says.
Answer:
x=18, m∠1=140, m∠2=40
Step-by-step explanation:
m∠1 and m∠2 will equal up to 180
7x+14+2x+4=180
Combine like-terms
9x+18=180
Subtract 18 from both sides.
9x=162
Divide both sides by 9
x=18
Then plug in 18 for x in the angle measures
7(18)+14=140
2(18)+4=40