Answer:
<h3>(-4, 1)</h3>
Step-by-step explanation:
-x-3=y, therefore x = -y-3
-3x - 8y = 4
Find the value of y
Substitute the x in -3x - 8y = 4 with -y-3
We get
-3·(-y-3) - 8y = 4
3y + 9 - 8y = 4
-5y = 4-9
-5y = -5
<h3>y = 1</h3>
_______________
Find the value of x
x = -y-3
x = -1-3
<h3>x = -4</h3>
_______________
Answer (x, y) =
<h3>(-4, 1)</h3>
_____________________
#IndonesianPride - kexcvi
Answer:
The angle that the ramp makes with the ground is 11.54°
Step-by-step explanation:
From the image attached, we can see that the length of 17 1/2 ft corresponds to the hypotenuse in a right triangle, the length of 3 1/2 ft corresponds to the opposite side.
We can use the fact that the sin(θ) = 
to find the angle that the ramp makes with the ground.
The angle is equal to
Answer: the distance from one corner of the field to the other corner is 136 m
Step-by-step explanation:
The distance from one corner to the other corner is the diagonal and it
divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 110² + 80²
d² = 12100 + 6400 = 18500
d = √18500
d = 136 meters
Answer:
140
Step-by-step explanation:
Consider a square for just a second. It has 4 angles each of 90 degrees. The total number of degrees in a square is 4 * 90 = 360.
It should be at least an appeal to your intuition to say that a quadrilateral has a total of 360 degrees.
Therefore the ratio you have been given must have 4 angles that add to 360.
2x + 3x + 6x + 7x = 360
18x =360
x = 20
So the 4 angles are
2* 20 = 40
3*20 = 60
6*20 = 120
7*20 = 140
Total 360
The largest angle is 140
