Answer: The tenth term is 76
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Explanation:
We use this arithmetic sequence formula to get the nth term
Plug in 
and you should get the following:
The tenth term is <u>76</u>
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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.
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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in which shifts everything one spot to the left.
Answer:
False
Step-by-step explanation:
Every where I looked it shows nothing about the Coriolis effect is the measurement of wind speed based on friction from mountains.
Answer:
Step-by-step explanation:
<h3><u>Given that:</u></h3>
Exterior angle of L = 5x + 12
M = 3x - 2
N = 50
<h3><u>Statement:</u></h3>
- Exterior angle is equal to the sum of non-adjacent interior angles.
So, the exterior angle that is adjacent to L is equal to the sum of non-adjacent sides (M and N) of the triangle.
Here,
Exterior angle of L = M + N
5x + 12 = 3x - 2 + 50
5x + 12 = 3x + 48
Subtract 12 to both sides
5x = 3x + 48 - 12
5x - 3x = 36
2x = 36
Divide 2 to both sides
x = 18
So,
<h3><u>Measure of angle M:</u></h3>
= 3x - 2
= 3 (18) - 2
= 54 - 2
= 52°
Now,
<h3><u>Measure of angle L:</u></h3>
<u>We know that,</u>
- Sum of all the interior angles of triangle is 180 degrees.
L + M + N = 180°
L + 52 + 50 = 180
L + 102 = 180
Subtract 102 to both sides
L = 180 - 102
L = 78°
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The expression of sinU as a fraction is 12/13
Find the diagram attached.
To get the fraction represented by sinU, we will use the SOH CA TOA identity.
From the diagram;
- Opposite = ST = 12 (angle opposite to m<U)
Since sin theta = opp/hyp
SinU = ST/SU
SinU = 12/13
Hence the expression of sinU as a fraction is 12/13
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer:
4
Step-by-step explanation:
Let x = the number of years
In x years, Mai's mother's age will be: 28 + x
and Mai's age will be: 12 + x
Then, 28 + x = 2(12 + x)
Distribute the 2 28 + x = 24 + 2x
Subtract 24 from each side 4 + x = 2x
Subtract x from each side x = 4
In four years, Mai's mother will be twice Mai's age.
<em>Check:
</em>
28 + 4 = 2(12 + 4)
32 = 2 × 16
32 = 32
