Answer:
50
Step-by-step explanation:
Sum Even numbers
n = 50
d = 2
a1 = 2
The last number is
an = a1 + (n-1)d
an = 2 + (50 - 1)*2
an = 2 + 49 * 2
an = 2 + 98
an = 100
Sum of the even numbers
Sum = (a1 + a50)*n/ 2
Sum = (2 + 100)*50/2
sum = 102 * 25
sum = 2550
Sum of the first 50 odd numbers
a1 = 1
n = 50
d = 2
l = ?
Find l
l = a1 + (n - 1)*2
l = 1 + 49*2
l = 99
Sum
Sum = (1 + 99)*50/2
Sum = 2500
The difference and answer is 2550 - 2500 = 50
15% of 40
Of = Multiplication
15% Multiply by 40
Set up a equation
15/100= x/140
Cross Multiply
15* 140= 100*x
2100= 100x
Divide both sides by 100x
2100/100x= 100x/100x
X= 21
Answer:
17.5
Step-by-step explanation:
The following data were obtained from the question:
Angle R = 105°
Side R = r
Side S = 15
Side T = 6
The value of r can be obtained by using cosine rule formula as shown below:
inding sides:
r² = s²+ t² – 2st cos(R)
r² = 15² + 6² – 2 × 15 × 6 × cos105°
r² = 225 + 36 – 180 × cos105°
r² = 261 + 46.587
r² = 307.587
Take the square root of both side
r = √307.587
r = 17.5
Therefore, the value of r is 17.5
