Answer:
$1.51
Step-by-step explanation:
1.25 lb. of dried fruit : ![\frac{\$1.84}{lb.}*\frac{1.25\ lb.}{1}=\$2.30](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%241.84%7D%7Blb.%7D%2A%5Cfrac%7B1.25%5C%20lb.%7D%7B1%7D%3D%5C%242.30)
0.5 lb. of cereal : ![\frac{\$2.38}{lb.}*\frac{0.5\ lb.}{1}= \$1.19](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%242.38%7D%7Blb.%7D%2A%5Cfrac%7B0.5%5C%20lb.%7D%7B1%7D%3D%20%5C%241.19)
Cost = $2.30 + $1.19 = 3.49
Money = $5
$5 - $3.49 = $1.51 in change
Knowing the interior angle sum formula is;
180x(n-2)
180x(n-2)=1260 (solve for n here)
180n-360=1260
180n=1260+360
180n=1620
n=1620/180
n=9
Therefore, this polygon has 9 sides.
Hope I helped :)
5 hours and 40 minutes. 3+2= 5 which make it 5 hours and then 2/3= 4/6= 40/60 which makes it 40 minutes
Answer: t = 6 s
Step-by-step explanation:
When Rose hit the water, the height of the jump is 0, so: h(t) = 0.
Resolving it, we have:
-16t² + 16t + 480 = 0
To simplify the second degree equation, divided it by 16:
-t² + t + 30 = 0
Now, solve the equation using Bhaskara:
Δ = 1² - 4. (-1) . 30
Δ = 1 + 120
Δ = 121
t = ![\frac{-1+\sqrt{121} }{-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%2B%5Csqrt%7B121%7D%20%7D%7B-2%7D)
t₁ =
= - 5
t₂ =
= 6
Since time can be negative, it took t = 6s for Rose to hit the water.
One could use the relation
![\mathbf a\cdot\mathbf b=\|\mathbf a\|\|\mathbf b\|\cos\theta](https://tex.z-dn.net/?f=%5Cmathbf%20a%5Ccdot%5Cmathbf%20b%3D%5C%7C%5Cmathbf%20a%5C%7C%5C%7C%5Cmathbf%20b%5C%7C%5Ccos%5Ctheta)
where
![\mathbf a,\mathbf b](https://tex.z-dn.net/?f=%5Cmathbf%20a%2C%5Cmathbf%20b)
are two vectors,
![\|\mathbf a\|](https://tex.z-dn.net/?f=%5C%7C%5Cmathbf%20a%5C%7C)
denotes the norm of that vector, and
![\theta](https://tex.z-dn.net/?f=%5Ctheta)
is the angle between the two vectors.
Then the two vectors will be parallel if
![\theta=0](https://tex.z-dn.net/?f=%5Ctheta%3D0)
or
![\pi](https://tex.z-dn.net/?f=%5Cpi)
.