Step-by-step explanation:
the area of a triangle
baseline × height / 2
in our case
baseline × height / 2 = 60 in²
height = 6×baseline - 16
baseline × (6×baseline - 16) / 2 = 60
baseline × (3×baseline - 8) = 60
3×baseline² - 8×baseline = 60
baseline = x
3x² - 8x - 60 = 0
general solution to a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 3
b = -8
c = -60
x = (8 ± sqrt(64 - 4×3×-60))/(2×3) =
= (8 ± sqrt(64 + 720))/6 = (8 ± sqrt(784))/6 =
= (8 ± 28)/6
x1 = (8 + 28)/6 = 36/6 = 6
x2 = (8 - 28)/6 = -20/6 = -10/3
x2 as a negative number is not a valid solution for a length in a geometric shape.
so, x = 6 in is our solution for the baseline.
height = 6x - 16 = 6×6 - 16 = 36 - 16 = 20 in
base = 6 in
Answer:
<em>343 metres per second
</em>
<em>In dry air at 20 °C (68 °F), the speed of sound is 343 metres per second (about 767 mph, 1234 km/h or 1,125 ft/s).</em>
<em></em>
Answer:
27/4 or 6 3/4
Step-by-step explanation:
I can't put it in the box because its gonna take to long but it is correct
Answer:
52 dimes and 28 nickels
Step-by-step explanation:
n = number of nickels
d = number of dimes
n+d = 80 the number of coins he got
Multiply the number of nickels times .05 plus the number of dimes times .10 to equal the amount of money he got
.05n + .10d = 6.60
Divide this equation by .05
.05n/.05 + .10/.05 = 6.60/.05
n + 2d = 132
n+d = 80
Multiply by -1
-n-d=-80
Add this to n+2d = 132
n+2d=132
-n-d=-80
-------------------
d = 52
Now we need to solve for n
n+d = 80
n+52 = 80
Subtract 52 from each side
n+52-52= 80-52
n = 28
The correct and best answer would be letter B. To find the percent of a discount, you have to find or solve for the percent of increase from the new price to the original price. This is because you usually have the new price being given to you so you compare it with the old price to know the percent discount.
