Answer:
New length is 3 3/20 ft.
Step-by-step explanation:
The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.
We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8
Now we're going to simplify ---> 5/6 ⋅ x = 2 5/8
5/6 ⋅ x = 21/8
(multiply both sides by 6)
5x = 63/4
(divide both sides by 5)
x = 63/20
x= 3.15
So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.
Answer:
$40
Step-by-step explanation:
The earnings of Gabriel can be calculated with the formula:
P = Po * (1 + r/n)^(nt)
Where P = 900, r = 0.0325, n = 365 and t = 19
So we have:
P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81
The earnings of Daniel can be calculated with the formula:
P = Po * e^(rt)
Where Po = 900, r = 0.03375 and t = 19
So we have:
P = 900 * e^(0.03375*19) = $1,708.97
So the amount that Daniel will have more than Gabriel is:
1708.97 - 1668.81 = $40.16
Rounding to nearest dollar, the difference is $40
Hi there! :)
a) (ii) The two angles are vertical angles, so they are congruent.
b)(i) y = 71°
(ii) The two angles are alternate interior angles, so they are congruent.
c) z = 44°
(ii) m∠x = 65° because the two angles are vertical angles, so they are congruent.
b) (i)
∠y is an alternate interior angle, therefore:
m∠y = 71°
c) Use the sum of interior angles of a triangle to determine the measure of angle z:
180 = 65 + 71 + z
180 = 136 + z
180 - 136 = z
z = 44°.
5/9* 32
= (5*32)/9
= 160/9
= (153+ 7)/9
= 153/9+ 7/9
= 17+ 7/9
= 17 7/9
The final answer is 17 7/9~
