100 POINTS 100 POINTS!
2 answers:
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Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem = =
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c =
To calculate the unknown angle B, we can use law of sine.
Law of sine = =
=
So,
=
=
Sin90 = 1
sinB =
B = (
)
B = 57.5°
Answer:
Area of the figure = 36 in²
Step-by-step explanation:
Area of the given composite figure = Area of the rectangle ABCE - Area of triangle CDE
Area of rectangle ABCE = Length × Width
= AB × AC
= 6 × 8
= 48 in²
Area of triangle CDE =
=
= 12 in²
Now area of the composite figure = 48 - 12
= 36 square inch
Answer:
Step-by-step explanation:
The question is to find the equation of the line going through the points (3,-1) and has a slope of -1.
First, the equation of a line is given as:
Equation = y = mx + b
Where
m is the slope
b is the y-intercept (y-axis cutting point)
We know the slope, so the equation becomes:
y = mx + b
y = -1x + b
y = -x + b
Now the point given is in the form (x,y), so
x = 3
y = -1
We substitute and find b:
y = -x + b
-1 = -3 + b
-1 + 3 = b
b = 2
Final Equation:
y = -x + 2