Answer:
Step-by-step explanation:
Use this formula:
Where,
Substitute in the values.
First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6
now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54
a10 = - 55
now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280
so the sum of the first 10 numbers is -280
Answer:
7
Step-by-step explanation:
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Answer:
8.5 cm
Step-by-step explanation:
Angles of the triangle:
Right triangle as it has 90° angle
Sides are a, b and 19 cm
- sin 30°= a/19 ⇒ a= 19 sin 30°= 19*0.5= 8.5 cm = shortest side
- sin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cm
<h3><u>Answer</u> :</h3>
<h3><u>Learn More</u> :</h3>
![\dag\sf\:\:\sqrt[n]{a^m}=a^{\frac{m}{n}}](https://tex.z-dn.net/?f=%5Cdag%5Csf%5C%3A%5C%3A%5Csqrt%5Bn%5D%7Ba%5Em%7D%3Da%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D)
