Answer:
Step-by-step explanation:
Find the sum of the first 42 terms of the following series, to the nearest integer.
2,7,12
Solution
The sum is given by
SUM_n=n/2*(a_1+a_n)
a_n=a_1+(n-1)d
a_1=2, n=42, d=5
The 42nd term is therefore given by
a_42=2+(42-1)5=207
SUM_42=42/2*(2+207)=21*209=4389
The sum of the first 42 terms of the series, therefore, is 4389
The number of students that are on the track team are 18.
The number of students that are on the baseball team are 15.
<h3>What are the linear equations that represent the question?</h3>
a + b = 33 equation 1
a - b = 3 equation 2
Where:
- a = number of students that are on the track team
- b = number of students that are on the baseball team
<h3>How many
students that are on the
baseball team?</h3>
Subtract equation 2 from equation 1
2b = 30
Divide both sides by 2
b = 30/2 = 15
<h3>How many
students that are on the track
team?</h3>
Subtract 15 from 33: 33 - 15 = 18
To learn more about simultaneous equations, please check: brainly.com/question/25875552
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Alright so these ratios have many different forms but the way I use to remember the trigonometric ratios is:
SOH
CAH
TOA
This means:
Sine --> Opposite/Hypotenuse
Cosine --> Adjacent/Hypotenuse
Tangent --> Oppositie/Adjacent
With that in mind, number 1:
Would be Sine, or C.
Number 2 would be, Cosine, or E.
And number 3 would be Tangent, or B.
Hope that was helpful.
Answer:
2
Step-by-step explanation:
Answer:
x = 19√3
y = 38
Step-by-step explanation:
x/19 = cot 30° = √3
x = 19√3
sin 30° = 19/y
1/2 = 19/y
y = 38
