The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation::
6 + 2n > 12
Subtracting 6 from both sides:
6 + 2n - 6 > 12 - 6
2n > 6
Dividing by 2:
n > 3
The correct representation of 6 + 2n > 12 (n > 3) is (3, ∞) and a number line with an open circle at +3 and being shaded from +3 to +5.
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Answer:
D
Step-by-step explanation:
A P E X
Common ratio = 8/2 = 32/8 = 4
10th term = a1*r^(n - 1) where a1 = 2 , r = 4 and n = 10
= 2 * 4^9
= 524,288
Puedo patearla tan fuerte como pueda.
Answer:
The height of tree house is 70.71 feet
Step-by-step explanation:
We are given that A 100-foot rope from the top of a tree house to the ground forms a 45∘ angle of elevation from the ground
Refer the attached figure
Length of rope AC = Hypotenuse =100 feet
The top of a tree house to the ground forms a 45∘ angle of elevation from the ground =
We are supposed to find the height of tree house i.e.AB = Perpendicular
So, Using trigonometric ratio
![Sin \theta = \frac{perpendicular}{Hypotenuse}\\Sin 45= \frac{AB}{AC}\\\frac{1}{\sqrt{2}}=\frac{AB}{100}\\100 \times \frac{1}{\sqrt{2}}=AB\\70.71=AB](https://tex.z-dn.net/?f=Sin%20%5Ctheta%20%3D%20%5Cfrac%7Bperpendicular%7D%7BHypotenuse%7D%5C%5CSin%2045%3D%20%5Cfrac%7BAB%7D%7BAC%7D%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cfrac%7BAB%7D%7B100%7D%5C%5C100%20%5Ctimes%20%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3DAB%5C%5C70.71%3DAB)
Hence The height of tree house is 70.71 feet