There are 109 terms in given series.
According to the statement
we have given that the sum of series is AP series and
This is 19 20.5 22 23.5 ... 181
And the sum of series is 10,900
Now, we have to find the number of terms in the series.
Then we use the summation formula which is
S = n/2 (a + L)
Substitute the all given values in it like
L = 181
A = 19 and S= 10,900
then
10,900= n/2(19+181)
10,900= n/2(200)
After solve the equation for n
10,900= 100n
n = 10,900 / 100
n = 109
There are 109 terms in given series.
So, There are 109 terms in given series.
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No, it would leave a decimal
Answer:
Find the answers below
Step-by-step explanation:
Using m<X as the reference angle
Opposite YZ = 7
Adjacent XY = 10
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinX = opp/hyp
sinX =YZ/XZ
sinX = 7/√149
For cos X
cos X = adj/hyp
cos X =10/√149
Using m<Z as reference angle;
Opposite XY = 10
Adjacent YZ = 7
Hypotenuse XZ = √149
Using the SOH CAH TOA identity
sinZ = opp/hyp
sinZ =10/√149
sinZ = 7/√149
For cos Z
cosZ = 7/√149
it depends how long the width and the length is. If the length is 5 cm and the width is 4 cm the perimeter will be 18cm. All you have to do is 5 doubled because there 2 sides for the length and 4 doubled because there are 2 sides for the width. I hope I have answered your question. XD
Answer:
y = 0x - 2/3
Step-by-step explanation:
We are asked to find the equation of the line
Step1: find the slope
( 0 , -2/3) ( 3 , -2/3)
m = (y_2 - y_1 )/ (x_2 - x_1)
x_1 = 0
y_1 = -2/3
x_2 = 3
y_2 = -2/3
Insert the values into the equation
m =( -2/3 - (-2/3) / (3 - 0)
= -2/3 + 2/3 / 3
= 0 / 3
m = 0
Step 2: sub m into the equation
y = mx + c
y = 0x + c
Step 3: sub any of the two points given into the eqn
y = 0x + c
Let's pick ( 3 , -2/3)
x = 3
y = -2/3
-2/3 = 0(3) + c
-2/3 = 0 + c
c = -2/3
Step4: sub c into the equation
y = mx + c
y = 0x + c
y = 0x - 2/3
Therefore, the equation of the line is
y = 0x - 2/3
