Answer:
This case has NO solutions.
Step-by-step explanation:
Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.
This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":
As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).
Therefore, there is no angle we can find to build a triangle with the given data.
Answer:
Get a line of which you want to know the slope. Make sure that the line is straight.
Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ).
Pick which point's coordinates are dominant in your equation. ...
Set up the equation using the y-coordinates on top and the x-coordinates on bottom.
Answer:
james has had the plant 21 days
Step-by-step explanation:
5 +3d= 68
5+3d-5= 68-5
3d= 63
3d/3=63/3
d=21
Answer:
x=70
Step-by-step explanation:
Due to the law of alternate interior angles, we can see that one of the angles in the triangle is equal to 35 degrees as well (please see the picture attached).
We're given that one of the exterior angles of the triangle is equal to 105. The exterior angle of a triangle will always be equal to the sum of the two opposite interior angles. Knowing this, we can write:
x+35=105
Subtract both sides by 35
x+35-35=105-35
x=70
Therefore, the value of x is 70 degrees.
I hope this helps!
Answer:
126.5 cm2
Step-by-step explanation:
First, the equation to find the area of a trapezoid is A= 1/2(b1 + b2)h , where b1 is the first length and b2 is the second length and h is the height. For these measurements, you would simply factor them into the equation- A= 1/2(8 + 15)11. Then using pemdas, 8+15= 23... multiplied by 1/2 equalling 11.5. Then multiply 11.5 by 11 to get your answer of 126.5 then add the units.