Answer:
Step-by-step explanation:
Split the area into two sections by extending 6 in segment.
We get a rectangle of 5 in x 10 in and a trapezoid.
<u>Rectangle:</u>
<u>Trapezoid:</u>
- A = 1/2(b₁ + b₂)h
- A = 1/2((15 - 5) + 7)*(10 - 6) = 1/2*17*4 = 34 in²
<u>Total area:</u>
Let ABC be a triangle in the 3rd quadrant, right-angled at B.
So, AB-> Perpendicular BC -> Base AC -> Hypotenuse.
Given: sinθ=-3/5 cosecθ=-5/3
According to Pythagorean theorem, square of the hypotenuse is equal to the sum of square of the other two sides.
Therefore in triangle ABC, 〖AC〗^2=〖AB〗^2+〖BC〗^2 ------
--(1)
Since sinθ=Perpendicular/Hypotenuse ,
AC=5 and AB=3
Substituting these values in equation (1)
〖BC〗^2=〖AC〗^2-〖AB〗^2
〖BC〗^2=5^2-3^2
〖BC〗^2=25-9
〖BC〗^2=16
BC=4 units
Since the triangle is in the 3rd quadrant, all trigonometric ratios, except tan
and cot are negative.
So,cosθ=Base/Hypotenuse Cosθ=-4/5
secθ=Hypotnuse/Base secθ=-5/4
tanθ=Perpendicular/Base tanθ=3/4
cotθ=Base/Perpendicular cotθ=4/3
Answer: The y-intercept would be 10
Step-by-step explanation:
(-2, 15), (1, 6), (2, 3), (4, -3), (7, -12) are the coordinate points, you can graph it to find the intercept. I used the graphing calculator desmos.
The type of transformation that has happened is a translation. Translation is when the image's size nor shape changes after transformation. every point in the image moves the same distance in the same direction.
the equation for the translation mentioned is;
T4, -5(x,y)
this means that every point in the image has moved down by 5 units and moved to the right by 4 units.
Point A to Point E
Point A - (-4,-1)
after translation (x+4, y-5) = (-4+4,-1-5)
= (0,-6) these are the coordinates of point E.
the other three points too have moved the same distance and direction as point A did.
40 below 0 would be -40 and 20 below 0 would be -20°. So there’s a change of (increase of) 20° that day. It would also make sense if you drew a number line. You would see the interval between -40 and -20 is 20.