So use pythagorean theorem
a^2+b^2=c^2
a=base
b=height
c=legnth of ladder
a=2
b=c-0.5
subsitute
2^2+(c-0.5)^2=c^2
4+c^2-c+0.25=c^2
add like terms
c^2-c+4.25=c^2
subtract c^2 from both sides
-c+4.25=0
add c to both sides
4.25=c
the legnth of the ladder is 4.25 m
A isn't true because 513 is at least divisible by 3, so it's not a prime number.
C isn't true because all whole numbers are either prime or composite.
D isn't true because it is neither a imaginary number, fraction, decimal, or unreal number, so therefore it must be a whole number.
B is true, because it is able to be divided by numbers other than one and itself.
Answer:
T(3) = 13
Step-by-step explanation:
If we are trying to find the 3rd term of this <em>specific </em>sequence, then we simply plug in 3 as n.
T(3) = (3)² + 4
T(3) = 9 + 4
T(3) = 13
However, this isn't proper notation for an arithmetic or geometric sequence.
To check, plug the x and y values into the inequality
2x-3y<u><</u>7
2(5)-3(-4)<u><</u>7
10+12<u><</u>7
22<u><</u>7
Clearly, 22 is not less than or equal to 7, so this point is <u>not</u> a solution to the linear inequality
Answer:
9c^2
Step-by-step explanation:
The greatest common factor (GCF) is the largest positive integer that divides each of the integers. In this case we have the terms 207c^3 and 108c^2. Both terms can be divided by 9c^2 to get 9c^2(23c + 12). Notice that 23c + 12 can no longer be further simplified so 9c^2 is the GCF.
