Answer:
1.35m
Step-by-step explanation:
A 2.7 meter ladder leans against a house forming a 30° angle with the house. Exactly how far is the base of the ladder from the house?
We solve the above question using the Trigonometric function of Sine
cos theta = Opposite/Hypotenuse
From the question
Opposite = Distance of base of the ladder from the house = x
Hypotenuse = Length of the ladder = 2.7m
Theta = 30°
Hence,
sin 30 = x/2.7 m
Cross Multiply
x = sin 30 × 2.7m
x = 1.35m
Option b is correct.
Answer:
x > 12
Step-by-step explanation:
9x>108
x> 108/9
x > 12
All you have to do is multiply both numbers and you get 1.875
The answer to <span>-7(k+9)=9(k-5)-14k is
k = -9
</span>-7(k+9)=9(k-5)-14k
Use the distributive property to distribute the -7 to (k+9) and 9 to (k-5)
-7(k+9)=9(k-5)-14k
-7k - 63 = 9k - 45 - 14k
Now lets get all our constants on one side of the equal sign and all our terms such as 9k and 4k on a side by their self
-7k - 63 = 9k - 45 - 14k
-7k - 63 + 45 = 9k - 45 + 45 - 14k
-7k - 18 = 9k - 14k
Now lets get that -7k on the right side
-7k + 7k - 18 = 9k - 14k + 7k
-18 = 9k - 14k + 7k
Now lets do the math for 9k - 14k + 7k and solve for k
-18 = 9k - 14k + 7k
-18 = 2k
-18 / 2 = 2k / 2
-9 = k
k = -9
