Answer:
width=4in.
length=13in
Step-by-step explanation:
let the width of the rectangle be x
then the length will be x+9
Area= length×width
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
the width is 4in. and the length is 4+9=13in.
Step-by-step explanation:
we have a right-angled triangle :
the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.
then the ground distance (360 ft) and the height of the tower are the 2 legs.
so, we can use Pythagoras
c² = a² + b²
with c being the Hypotenuse.
in our case
850² = 360² + height²
height² = 850² - 360² = 592,900
height = 770 ft
the tower is 770 ft tall.
Don't really need an equation for this
0.15 is 15%
first 0.15 x 32 / 100 = 4.8
32 - 4.8 = 27.2 is the new price of the pan
Answer:
7a+2a=9a
Step-by-step explanation:
You distribute the a to each of the numbers in the parenthesis. Which means that you multiply. You should be left with a 7a+2a. Then since 7+2=9, your answer is 9a. So answer 1 is correct because they do these exact steps.
185% = 185/100
185/100 = 37/20
The simplest form fraction of 185% is 37/20.
