Answer:
d. 2√34 cm
Step-by-step explanation:
Secant BD is the hypotenuse of right triangle ABD with legs given as AB = 6 cm and AD = 10 cm. Hence the Pythagorean theorem can be used to find BD:
BD = √(AB² +AD²) = √((6 cm)² +(10 cm)² = √136 cm = 2√34 cm
Answer:
140
Step-by-step explanation:
The arithmetic series is 5, 7, 9, 11, ........., 23.
First u have to determine the no. of terms that can be done by using
Tₙ = [a + (n - 1)d]
Tₙ-------nth term
a---------first term
n---------no.of terms in the series
d---------common difference
here a = 5,d = 2.
let it contain n terms Tₙ= [a + (n-1)d]
Substitute Tₙ, a, and d in the equation
23 = 5 + (n - 1)2
Subtract 5 from each side.
18 = (n-1)2
Divide each side by 2
(n - 1) = 9
Add 1 to each side
n = 9 + 1 = 10
The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]
Substitute Sₙ, a, n and d in the equation
Sₙ= (10/2)[2(5) + (10-1)2]
Sₙ= (5)[10 + (9)2]
Sₙ= 5[10 + 18]
Sₙ= 5[28] = 140
Therefore the sum of the arithmetic sequence is 140.
It doesn't, it ends after 32 digits after 0.
We can solve x through simple algebra.
x + 5 = 2
x = 2 - 5
x = -3
x - 10 = 22
x = 22 + 10
x = 12
x - 27 = 8 + 10
x - 27 = 18
x = 18 + 27
x = 45
-11 + x + (-48) = 25
-11 + (-48) + x = 25
-59 + x = 25
x = 25 + 59
x = 84
x - (-16) = 12 + 13
x + 16 = 25
x = 25 - 16
x = 9
Tip: As you can see, the number sign changes as they shift from left to right (ex. -59 to +59).