Answer:
D = 59t
P = 42t
5 hours after noon, darmian is 17 miles closer to the stadium than paisley
Step-by-step explanation:
At noon, Damian is 383 miles away from the stadium and paisley is 315 miles away from the stadium.
Now, we are told that damians speed is 59 mph while paisley's speed is 42 mph.
At t hours after noon, their distance covered will be;
Damian; D = 59t
Paisley; P = 42t
This is because distance = speed × time
Now, 5 hours after noon, their respective distance covered will be;
D(5) = 59 × 5 = 295 miles
P(5) = 42 × 5 = 210 miles
This means that;
distance of Damian from the stadium is; 383 - 295 = 88 miles
Distance of paisley from the stadium is;
315 - 210 = 105 miles
Difference in their distances to the stadium = 105 - 88 = 17 miles
Thus, 5 hours after noon, darmian is 17 miles closer to the stadium than paisley
Answer:
64
Step-by-step explanation:
x + 5(x + 2)
Distribute
x + 5x+10
Combine like terms
6x+10
Let x = 9
6(9) +10
54+10
64
Answer:
![A=80\ ft^2](https://tex.z-dn.net/?f=A%3D80%5C%20ft%5E2)
Step-by-step explanation:
we know that
The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle
step 1
Find the area of the triangle
The area of the triangle is equal to
![A=\frac{1}{2}bh](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7Dbh)
we have
![b=16\ ft](https://tex.z-dn.net/?f=b%3D16%5C%20ft)
To find out the height of the triangle Apply the Pythagorean Theorem
![10^2=(16/2)^2+h^2](https://tex.z-dn.net/?f=10%5E2%3D%2816%2F2%29%5E2%2Bh%5E2)
solve for h
![100=64+h^2](https://tex.z-dn.net/?f=100%3D64%2Bh%5E2)
![h^2=100-64](https://tex.z-dn.net/?f=h%5E2%3D100-64)
![h^2=36](https://tex.z-dn.net/?f=h%5E2%3D36)
![h=6\ ft](https://tex.z-dn.net/?f=h%3D6%5C%20ft)
<em>Find the area of triangle</em>
![A=\frac{1}{2}(16)(6)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%2816%29%286%29)
![A=48\ ft^2](https://tex.z-dn.net/?f=A%3D48%5C%20ft%5E2)
step 2
Find the area of rectangle
The area of rectangle is equal to
![A=LW](https://tex.z-dn.net/?f=A%3DLW)
we have
![L=16\ ft\\W=2\ ft](https://tex.z-dn.net/?f=L%3D16%5C%20ft%5C%5CW%3D2%5C%20ft)
substitute
![A=(16)(2)=32\ ft^2](https://tex.z-dn.net/?f=A%3D%2816%29%282%29%3D32%5C%20ft%5E2)
step 3
Find the area of the figure
Adds the areas
![A=48+32=80\ ft^2](https://tex.z-dn.net/?f=A%3D48%2B32%3D80%5C%20ft%5E2)
So to find the area you should draw a line to make a right triangle then take the area of the 3 figures and add them together. See the picture.
Answer:
1/8
Step-by-step explanation: