What is the length of A
1 answer:
You might be interested in
Answer:
AB = 13.89
Measure of angle A = 59.74°
Measure of angle B = 30.26°
Step-by-step explanation:
The given parameters are;
∠C = 90°
AC = 7
BC = 12
Part 1
Hence, the question has the dimensions of the two adjacent sides of the right angle (angle 90°)
From Pythagoras theorem, we have;
A² = B² + C²
Where, A is the opposite side to the right angle, hence;
In the ΔABC,
AB ≡ A
Therefore;
AB² = AC² + BC² = 7² + 12² = 193
∴ AB = √193 = 13.89
Part 2
∠A is the side opposite side BC such that by trigonometric ratios
∴ ∠A = Arctan(1.714) or tan⁻¹(1.714) = 59.74°
Part 3
∠B is found from knowing that the sum of the angles in a triangle = 180°
∴ ∠A + ∠B + ∠C = 180° which gives
59.74° + 90° + ∠B = 180°
Hence, ∠B = 180° - (59.74° + 90°) = 180° - 149.74° = 30.26°.
Answer:
y
=
3
2
x
Rewrite in slope-intercept form.
Tap for more steps...
y
=
3
2
x
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
3
2
y-intercept:
(
0
,
0
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
0
2
3
Graph the line using the slope and the y-intercept, or the points.
Slope:
3
2
y-intercept:
(
0
,
0
)
x
y
0
0
2
3
image of graph
Step-by-step explanation:
