Answer:
90
Step-by-step explanation:
First, we should find the area of the trapezoid, and then subtract the area of the removed triangle in order to find the shaded area.
Area of the trapezoid
1) Area of the rectangle in the middle.
Base Length: 10
Height Length: 10
Area: 10 x 10 = 100
2. Area of the triangles on the side
Base Length: (14 - 10)/2 = 2
Height Length: 10
Area: 2 x 10 x 1/2 = 10
There are two triangles: 10 x 2 = 20
Area of the trapazoid: 100 + 20 = 120
Area of the triangle that's been removed
Base Length: 10
Height Length: 10 - 4 = 6
Area: 10 x 6 x 1/2 = 30
Shaded area
Area of the trapezoid - Area of the triangle
120 - 30 = 90
Area of the shaded region is 90.
<h2>
Answer:</h2>
The equation that will be used to find t is:

<h2>
Step-by-step explanation:</h2>
Total distance that is traveled by Amir is: 5 miles.
and the total time taken by him is: 2 hours.
On the first part of the hike, Amir averaged 3 miles per hour.
Let t denote the time he spent hiking during the second i.e. difficult part of the hike.
- Hence, the time he spent in first part of hike is: 2-t
( Since, the total time was 2 hours)
Also, we know that:

Hence, distance traveled in first part of hike is:

- Now, the distance he will travel in second part of hike will be: 5-3(2-t)
Since the total distance traveled by him is 5 miles.
It is given that his speed decreased to 1.5 miles per hour.
Now, we know that:

Hence, time spent by him in second part of hike is:

Answer:
One Soulution for both they are parallel and never meet
Step-by-step explanation:
Answer:
(x-43.45)(x+7.45)=0.
Step-by-step explanation:
We have the quadratic equation
i.e. 
Now, the roots of the quadratic equation
are given by 
So, from the given equation, we have,
a = 1, b =-36 , c = -324.
Substituting the values in
, we get,

i.e. 
i.e. 
i.e. 
i.e.
and i.e. 
i.e.
and i.e. 
i.e. x = 43.45 and x = -7.45
Hence, the factored form of the given expression will be (x-43.45)(x+7.45)=0.
Answer:
96 inches
Step-by-step explanation: