Step-by-step explanation:
If Omar has $350 to spend on the garden he is designing, then he has possibility to buy 11 triangle stones and 26 border pieces, if the construction look like below, because 20×11 + 5×26 = 350.20×11+5×26=350.
So, the length of the path is 11×3 = 33 units, if the length of a side of such triangle is 1 unit.

Let d = # of dimes
Let q = # of quarters
45 = d + q
.1d + .25q = 8.40
Then we can use the substitution method and make it so that d = 45 - q.
Then plug in the value for d into the second equation.
.1(45-q)+.25(q)=8.40
4.5-.1q+.25q=8.40
4.5+.15q = 8.40
.15q = 3.90
q = 26
d = 45 - 26 = 19
26 quarters
19 dimes
Answer:
Time of Death = 2 : 49 : 45 AM
Step-by-step explanation:
The formula for Newton's Law of Cooling is written as follows:
dT/dt = - K(T - Ts)
where,
dT = change in temperature
dt = time interval
K = cooling constant
T = Final Temperature of object
Ts = Surrounding Temperature
First, we will use the data of cooling of body from 28°C to 27°C to find the cooling constant of the body:
dT = 27°C - 28°C = -1°C
dt = 1 hr = 3600 s
K = ?
T = 27°C
Ts = 22°C
Therefore,
-1 °C/3600 s = - K(27 °C - 22 °C)
K = 1 °C/(3600 s)(5 °C)
K = 5.55 x 10⁻⁵ /s
Now, we use data for cooling of body from 37 °C to 28 °C to find the time of death:
dT = 28°C - 37°C = -5°C
dt = ?
K = 5.55 x 10⁻⁵ /s
T = 28°C
Ts = 22°C
Therefore,
- 5 °C/dt = - (5.55 x 10⁻⁵ /s)(28 °C - 22 °C)
dt = 5 °C/(5.55 x 10⁻⁵ /s)(6 °C)
dt = 1.5 x 10⁴ s
dt = 4.17 h = 4 h 10 min 15 s
Therefor,
Time of Death = 7 : 00 : 00 AM - 4 : 10 : 15
<u>Time of Death = 2 : 49 : 45 AM</u>
Answer:
using elimination method:
final answer: (-4,-5)
have a nice day!
I think this is false because two opposite sides can't be perpendicular (creating a 90 degree angle) because opposite sides are parallel.
