Answer:
Step-by-step explanation:
I accept your challenge!
First we know that a equation of the line is a linear equation, and its equation is:
In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).
Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.
I will take 
as Point 1 and 
as Point 2.
So, 
Now we have to find the y-intercept:
To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.
Our currently equation of the line is:
Using the points, take Point 1 as an example, it says that when 
, so plugging it in the equation:
Taking the Point 2
Now we found 
! The equation is complete!
Step-by-step explanation:
2 things to remember for problems like this :
the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) or upside-down (whatever fuss the situation better), with the sides being always opposite of the angles.
so, now for the given problems :
4.
x/sin(90) = 12/sin(29)
x/1 = x = 12/sin(29) = 24.75198408...
rounded x = 24.8
5.
the opposite angle of x is
180 - 90 - 16 = 74 degrees.
x/sin(74) = 37/sin(90) = 37
x = 37×sin(74) = 35.56668275...
rounded x = 35.6
6.
the opposite angle of x is
180 - 90 - 58 = 32 degrees.
x/sin(32) = 22/sin(58)
x = 22×sin(32)/sin(58) = 13.74712574...
rounded x = 13.7
7.
the opposite angle of 15 is
180 - 90 - 51 = 39 degrees.
x/sin(51) = 15/sin(39)
x = 15×sin(51)/sin(39) = 18.52345735...
rounded x = 18.5
Answer:
a) 2.5
b) 6.25
Step-by-step explanation:
For similar figures, the ratio of any corresponding linear dimensions is the same. The ratio of areas is the square of that.
<h3>Application</h3>
The ratio of linear dimensions, larger to smaller, is ...
(30 yd)/(12 yd) = 2.5
<h3>a) Perimeter</h3>
Perimeter is a linear dimension, the sum of side lengths. The ratio of perimeters is 2.5.
<h3>b) Area</h3>
The ratio of areas, larger to smaller, is the square of the scale factor for side lengths:
(2.5)² = 6.25
The ratio of the areas of the larger to smaller figure is 6.25.
Answer:
x=30
Step-by-step explanation:
that's a 90º angle so 90÷3=30
There are 4 lateral faces that are triangles. Each triangle is: A =
A =
= 176
There is one base that is a square. A = L x W
A = 16 x 16
= 256
Surface area = 256 + 4(176)
= 256 + 704
= 960
Answer: B
