Answer:
Find length opposite to 30deg
Opposite = tan(30)*42
= 24.2
Whole side = 24.2+10
Find angle of 0 + 30deg: (say x)
Tan(x) = 33.2/42
Arctan(0.79) = x
x = 38.3
The angle to find:
38.3-30:
8.3
The angle is 8.3deg.
Answer:
y = 3/2x -5/2
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
3x- 2y = 5
Solve for y
Subtract 3x from each side
3x -3x- 2y =-3x+ 5
-2y = -3x+5
Divide by -2
-2y/-2 = -3x/-2 +5/-2
y = 3/2x -5/2
Answer: the same length for one of the other two legs.
It doesn't matter which leg since the triangles could be rotated. If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
Answer:
Hyperbola
Step-by-step explanation:
<em>When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola. </em>
<em> equation of the hyperbola is below:</em>
<em> [(x-h)^2/a^2]-[(y-k)^2/b^2]=1 (Horizontal axis)</em>
<em> [(y-k)^2/a^2]-[(x-h)^2/b^2]=1 (Vertical axis)</em>
<em> Therefore, the answer is: Hyperbola.</em>