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:
Surface area of square pyramid is computed as follows:
A = a² + a*√(a² + 4h²)
where <em>a</em> is the base length and <em>h</em> is the height.
If a model of the square pyramid is scaled down by a factor of x, then the surface area will be:
A' = (a/x)² + (a/x)*√[(a/x)² + 4(h/x)²]
A' = a²/x² + a/x * √[a²/x² + 4h²/x²]
A' = a²/x² + a/x * √[(a² + 4h²)/x²]
A' = a²/x² + a/x * √(a² + 4h²)/√x²
A' = a²/x² + a/x² * √(a² + 4h²)
A' = 1/x² * [a² + a*√(a² + 4h²)]
A' = 1/x² * A
That is, the surface area will be 1/x² times the original surface area. If h = 25 ft and a = 15 ft:
A = 15² + 15*√(15² + 4(25)²) = 1008.02 ft²
The factor is not mentioned in the question, nevertheless, the area will be 1008.02/factor² ft²
Answer:
(-2, 2)
Step-by-step explanation:
this is the point where y= -2x+1 meets y=2x+3
Answer:
The euation of the linear function is:
Step-by-step explanation:
As the function has the values
Thus, the two points are:
Finding the slope between (5, -1) and (0, -1)
We know that the slope-intercept form of the line equation is
y=mx+b
where m is the slope and b is the y-intercept
We also know that the y-intercept can be computed by setting x=0 and finding the corresponding value of y.
so at x = 0, y = -1
Thus, the y-intercept 'b' = -1
Now, substituting m = 0 and b = -1 in the slope-intercept form of the line equation
y = mx+b
y = 0x + -1
y = -1
Therefore, the euation of the linear function is:
4/15 should be your answer!
