Answer:
30 cm^2
Step-by-step explanation:
a = 13 cm
b = 12 cm
using Pythagorean theorem:
a^2 = b^2 + c^2
--> c^2 = a^2 - b^2 = 13^2 - 12^2 = 169 - 144 = 25
--> c = √25 = 5
The area of that right triangle is:
S = b.c / 2 = 12 . 5 / 2 = 30 (cm^2)
A
Find the two intersections of the lines. The value of x of the intersections will satisfy the system of equations.
Brainliest pls!
Answer:
Option (4)
Step-by-step explanation:
Given sequence is,

We can rewrite this sequence as,

There is a common ratio between the successive term and the previous term,
r = 
r = 
Therefore, it's a geometric sequence with infinite terms. In other words it's a geometric series.
Since sum of infinite geometric sequence is represented by the formula,
, when r < 1
where 'a' = first term of the sequence
r = common ratio
Since common ratio of the given infinite series is greater than 1 which makes the series divergent.
Therefore, sum of infinite terms of a series will be infinite Or the sum is not possible.
Option (4) will be the answer.
Answer:
x = 1/4
Step-by-step explanation:
16 = 2 can be written as
= 2
(
)^x = 2^1
if bases are the same we can create this equation: 4x = 1
x = 1/4
This is a 30-60-90 triangle
opposite side of rigt angle=2x
opposite side of 60 degrees is x√3
opposite sides of 30 degree is x
the right angle is at the base of the building so therefor
200=x
2x=distance from surveor to top of building and x√3=height of building
x=200
200√3≈346.41
the answer is 346.41 feet