Answer:
8
Step-by-step explanation:
Perimeter is 284 means the sum of the side measurements is 284.
That is, we have to solve:
Combine like terms:
Simplify:
Subtract 12 on both sides:
Simplify:
Divide both sides by 34:
Simplify:
Answer:
A
Step-by-step explanation:
Look at both rectangles and list each of the corners coordinates:
The rectangle on the left has coordinates:
R: (-4,-1)
S: (-1,-1)
T: (-1,-3)
U: (-4,-3)
Now because the rectangle transformed to a different location we should take the coordinates of each of its vertices to find what type of transformation this is:
R' : (4,-1)
S' : (1,-1)
T' : (1,-3)
U' : (4,-3)
We can notice that the difference between both sets of points is that the x-value changes sign and the y-values stay the same, therefore the answer is A
By using trigonometric relations, we will see that the angle of elevation must be 55°.
<h3>
How to find the angle of elevation?</h3>
We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.
The angle of elevation is the angle such that the adjacent cathetus is the one measuring 875ft.
Then we can use the relation:
tan(a) = (opposite cathetus)/(adjacent cathetus)
tan(a) = 1250ft/875ft
To find the angle of elevation, we can use the inverse tangent function:
a = Atan(1250ft/875ft) = 55°
The angle of elevation must be 55 degrees.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
(0,7)
Step-by-step explanation:
(I'm assuming you have to solve the system of equations)
3x -10y = -70
4x +9y = 63
Solving by elimination.
Eliminate x first, so we need the x-component of both equations to have the same number but opposite sign. So i'm going to multiply the first by -4 and the second by +3.
//I could have also done +3 to first and -4 to second
-4(3x -10y = -70)
3(4x +9y = 63)
-12x +40y = 280
12x +27y = 189
Add the equations //x's cancel
67y = 469
Divide both side by 67, y=7
Plug in y into any original equation to solve to x
3x - 10(7) = -70
3x -70 = -70
3x = 0
x=0
