First you make 15 a fraction by putting it over 1.
Then you make 6 2/3 a mixed fraction.
To do this, you multiply 6 with 3 and add 2 to it. Then you put the number over 3.
We get
6 X 3 = 18
18 +2 = 20
20/3
Now, we divide 15/1 with 20/3.
When we divide it, we actually cross multiply it. Basically, we flip the fraction and multiply it.
So we get 15/1 X 3/20 =
.
We get 45/20 which can be simplified to
9/5 which can be simplified to
2 1/4.
So the answer is
9/4 or
2 1/4.
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
The equation of a line in point slope form is
we have
substitute
The easiest way to graph a line is to calculate the intercepts
The<u><em> x-intercept </em></u>is the value of x when the value of y is equal to zero
For y=0
The x-intercept is the point (-6,0)
The <u><em>y-intercept</em></u> is the value of y when the value of x is equal to zero
For x=0
The y-intercept is the point (0,1.5)
Plot the intercepts and join the points to graph the line
(-6,0) and (0,1.5)
The graph in the attached figure
To convert degrees to radians multiply degrees by pi/180.
So 90 degrees = 90pi/180 = pi/2 radians or 1.57 radians to the nearest hundredth.
Point/Slope Form of an equation!
(5,3)
slope of -2/5
x= 5
y = 3
y - y1 = m(x-x1)
y - 3 = -2/5(x-5)
y - 3 = -2/5x + 2
y = -2/5x + 5
x intercept of 5
Let, the height of the building be x ft.
Given the building casts 35ft shadow.
The height of the flagpole given which is 22ft and casts a shadow of 10ft.
Now to find the height of the building we have to equate the ratio of height and shadow of the building and the flagpole.
So we can write,
x/35 = 22/10
To find x, we have to get rid of 35 from the left side and have to move it to right side. As 35 is divided there, we will multiply 35 to both sides.
(x/35)× 35 = (22/10)×35
x = (22×35)/10
x = 770/10
x = 77
So, the height of the building is 77 ft which is the required answer here.
