Answer:
55
Step-by-step explanation:
IHG = 123
IHS = x + 65
SHG = x + 78
IHG = IHS + SHG
123 = x + 65 + x + 78
123 = 2x + 143
123 - 143 = 2x
-20 = 2x
-10 = x
IHS = x + 65
IHS = - 10 + 65
IHS = 55
Answer: The height of the building is 50.75 feet.
Step-by-step explanation:
The ratio between the height of the object and the casted shadow must be equal for all the objects, as the angle at which the source if light impacts them is the same.
For the person, we know that it is 5.8ft tall, and the shadow is 3.2ft long.
The ratio will be: 5.8ft/3.2ft = 1.8125
Now, if H is the height of the building, and the shadow that the building casts is 28ft, we must have:
H/28ft = 1.8125
Now we can solve this for H.
H = 1.8125*28ft = 50.75 ft
Then the height of the building is 50.75 feet.
Answer:
Step-by-step explanation:
Using the equation of line
y - y_1 = m(x - x_1)
y = mx + C
First first the slope of the equation
y = 9x - 4
Note: if two lines are perpendicular, their slope will be negative reciprocal
Slope = 9, but because it is perpendicular
m = -1/9
Using the equation
y - y_1 = m(x - x_1)
With the point (-9,-17)
x_1 = -9
y_1 = -17
y - (-17) = -1/9(x - (-9)
y + 17 = -1/9(x + 9)
y = -1/9(x + 9) - 17
Open the bracket.
y = (-x -9)/9 - 17
Lcm is 9
y = -x -9 - 153 / 9
y = -x - 162 / 9
Let's separate
y = -x/9 - 162/9
y = -x/9 - 18
y = -1/9x - 18
Therefore, the equation of the line is y = -1/9x - 18
It is called a difference of squares because there are two things squared being subtracted. You can recognize it when there are two terms, subtraction between the two of them, and you know the square root of both
$38*75% (the amount of the original price you pay) is $<span>28.50
$</span>28.50*1.06 (the cost of the book (100%) and the cost of the tax on top (6%)) is $<span>30.21
The customer pays a total of $</span><span>30.21 for the book</span>
