You would distribute multiply every thing inside the parenthesis by the number on the out side of it on the the left the go to the other side of the addition sign and do the same then combine like terms
Answer:
no
Step-by-step explanation:
A proportional relationship must go through the point ( 0,0). This does not go through the origin so this is not proportional
D because it’s feet not yards
29.87127 or, if rounded, could be 29.8713, 29.871, 29.87, or 29.9
Answers:
x = 25 in
y = 16.3°
z = 73.7°
Explanation:
Part (a): getting the value of x:
Since the given triangle is a right-angled triangle, we can get the value of x which is the hypotenuse of the triangle using the Pythagorean theorem as follows:
(hypotenuse)² = (side1)² + (side2)²
x² = (24)² + (7)²
x² = 625
x = √625
either x = 25 in ..........> accepted
or x = -25 in .........> rejected as side length cannot be negative.
Based on the above:
x = 25 in
Part (b): getting the value of y:
Since the given triangle is a right-angled triangle, therefore, special trigonometric functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
In the given, we have:
θ = y
opposite side = 7 in
adjacent side = 24 in
Apply in the tan formula:
tan y = 7/24
y = 16.3° to the nearest tenth
Part (c): getting the value of z:
This can be solved in two ways:
Solution 1: Using angles
Sum on internal angles in a triangle is 180
90 + 16.3 + z = 180
z = 73.7°
Solution 2: Using special trig functions:
We have θ = z
opposite side = 24 in
adjacent side = 7 in
tan z = 24/7
z = 73.7° to the nearest tenth
Hope this helps :)
