This is quite simple, first, you must find the area of each shape, since the form of the prism is currently 2D.
Formula for (Area of Rectangle)= length x width
Formula for (Area of Triangle)= 1/2 base x height
Now, we have the formulas. Let’s get started!
(Identification) There are 3 rectangles and 2 triangles. 2 rectangles are of the same size and 2 triangles are of the same size.
Triangles~ the base is 6 and the height is 4.
1/2 (6 x 4) = 12
However, there’s two triangles. (of the same size)
12 x 2 = 24
Rectangles 1 and 2~ the length is 5 and the width is 7
5 x 7 = 35
However, there’s two rectangles. (of the same size)
35 x 2 = 70
Rectangle 3~ the length is 6 and the width is 7
6 x 7 = 42
There’s only one of these.
Now we add all the areas of the shapes together!
24 + 70 + 42 = 136
The surface area is 136.
Answer:
15 years old.
Step-by-step explanation:
Let Jim's age now be one unit (1u).
His uncle's age now is then 4 units.
Jim's age in 10 years = 1u + 10
Jim's uncle's age in 10 years = 4u + 10
In 10 years, Jim's uncle's age will be 20 years more than twice Jim's age.
Twice Jim's age =

Since Jim's uncle's age is 20 years more than this, we can say that his uncle's age is equal to

which is equal to

We found out that Jim's uncle's age in 10 years is 4u+10. Hence

We subtract 10 from both sides:

Therefore

and one unit is 15. Hence, Jim's age now is 15.
Answer:
Step-by-step explanation:
Use midpoint formula to find the coordinates of each midpoint.
(x, y) = (½ (x₁ + x₂), ½(y₁ + y₂))
Coordinates of D:
(x, y) = (½ (4 + 2), ½(6 + -2))
(x, y) = (3, 2)
Coordinates of E:
(x, y) = (½ (4 + -2), ½(6 + -4))
(x, y) = (1, 1)
Slope of DE:
m = Δy / Δx
m = (2 − 1) / (3 − 1)
m = 1/2
Slope of BC:
m = Δy / Δx
m = (-2 − -4) / (2 − -2)
m = 1/2
Therefore, DE is parallel to BC.
Answer:
2.67 seconds
Step-by-step explanation:
Distance covered by the dog = 40 ft
The rate at which the dog runs (speed) = 15 ft/s
But,
speed = 
So that,
time = 
= 
= 2
time = 2.6667 s
It would take the dog 2.67 s to mess.