Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
The dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∴ ∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∴ ∠x + 90° = 180°
Hence;
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
∴ 90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
First divide 93 by 3 to get 25% of the original price: 31. Then multiply it by 4 to get the whole original price, which is $124. Now onto the shoes.
Divide 119 by 17 to get 7, which is 5% of the original price for the shoes. Then multiply 7 by 20, which is $140 for shoes.
Subtract 124-93 to get 31, the savings on the dress and also subtract
140-119 to get 21, savings on the shoes. Then add them together to get a grand savings total of $52 in savings. Hope this helps!
Answer:
The ball hit the ground at t=6 seconds
Step-by-step explanation:
we have
where
f(t) is he height of the ball in feet
t is the time in seconds
we know that
When the ball hit the ground, the height of the ball is equal to zero
so
For f(t)=0
solve for t
Factor the leading coefficient -16t
the solutions are
t=0, t=6
Remember that
For t=0 ----> f(t)=0 is the initial height of the ball
Fort=6 sec ----> f(t)=0
therefore
The ball hit the ground at t=6 seconds
