Step-by-step explanation:
h = height of rectangle (should be "length", but ok)
w = width of rectangle
w = h + 97
the diagonal of the rectangle is the Hypotenuse (baseline) of a right-angled triangle with the legs being one height and one width side of the rectangle.
so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90° angle).
diagonal² = h² + (h + 97)² = h² + h² + 2×97h + 97²
113² = 12769 = 2h² + 194h + 9409
3360 = 2h² + 194h
1680 = h² + 97h = (h + 97/2)² - 9409/4
(completing the square)
6720/4 + 9409/4 = (h + 97/2)²
16129/4 = (h + 97/2)²
127/2 = h + 97/2
30/2 = h = 15
the height is 15.0 in
Answer:
98.6
Step-by-step explanation:
in photo!!
<span>Last
year, Shantell bought a car for 24 000 dollars. It decreases to 21 000 dollars
this current year.
Let’s find for the percentage that it decreased.
=> in 24 000 the 50% is 12 000 as we all know since it’s divided by 2. So
meaning, the possible answer is less than 50%.
=> now 25% of 24 000 is 6 000, and the amount that we’re looking is 3000,
thus, the answer is 12.5%
=> 24 000 * 0.125 = 3000
=> 24 000 – 3000 = 21 000</span>
Answer:
#1=2
#2= 14
#3= 26
#4= 32
Step-by-step explanation:
y=6x-16
Lets use the first one as an example: since x is our variable we can plug in 3 into the equation to make y=(6x3)-16. 6x3=18, so y=18-16 which is 2. You can plug in any other number to find your answer as long as you follow the pattern in the equation.
The first step in this equation is to Subtract 18 from both sides of the equation.
