Answer:
The three questions about the given triangle has been answered below.
Step-by-step explanation:
We are given a right angled triangle whose sides are of length 20, 21 and 29.
<u>(1)</u> sin(B) =
=
= 0.72
<u>(2)</u> sin(A) =
sin(A) = 0.689
∠CAB =
∠CAB = 43.551°
<u>(3)</u> We suppose that cosA < sinA and we haveto find which all angles will satisfy this condition.For this the angle A should be greater than 45°.
From the given options the angles that satisfy this are 55 , 66 and 75.
45 is not included as then sinA = cosA and that condition is not there.
The average length of a ladybug can range from 0.08 to 0.4 inches.
So two lengths within the given span are 0.1 inch and 0.3 inches.
You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.
3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.
We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).
-2y = 18
18/-2 = -9.
Now we have y = -9, and we can go back into the problems to solve for x.
<span>3x - 4(-9) = 9
</span>
3x + 36 = 9.
3x = -27
x = -9.
Confirm with the final equation:
-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.
Parallel = same slope
Y = -3x + 7, the slope is -3
Slope intercept form: y = mx + b
Y = -3x + b
Plug in point (2,-4) and solve for b
-4 = -3(2) + b
-4 = -6 + b, b = 2
Solution: y = -3x + 2
The answer is D