Answer:
384 cm²
Step-by-step explanation:
The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.
To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:
For parallelogram:
Height (H) = 7.5 cm
Base (B) = 24 cm
Area of parallelogram (A₁) =?
A₁ = B × H
A₁ = 24 × 7.5
A₁ = 180 cm²
For rectangle:
Length (L) = 24 cm
Width (W) = 8.5 cm
Area of rectangle (A₂) =?
A₂ = L × W
A₂ = 24 × 8.5
A₂ = 204 cm²
Finally, we shall determine the area of the shape.
Area of parallelogram (A₁) = 180 cm²
Area of rectangle (A₂) = 204 cm²
Area of figure (A)
A = A₁ + A₂
A = 180 + 204
A = 384 cm²
Therefore, the area of the figure is 384 cm²
Answer:
x > - 3
Step-by-step explanation:
x + 2
> -
First turn 2
into an fraction since its easier. So it becomes ![\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B2%7D)
x +
> - ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
<u> - </u>
<u> - </u>
<u> </u> Do inverse operations, so subtract
from both sides.
x > -
Combine -
with -
, which gives us - ![\frac{6}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B2%7D)
x > - 3 Since we know that 6 divided by 2 is 3.
This would not allow me to attach an image so I am going to type a visual representation f what the graph would look like below)
<-------------O--------------------------------------------------->
-5 -4 -3 -2 -1 0 1 2 3 4 5
So, the number line would be a solid line rather than dashed (but I was not able to attach an image so I kind of had to improvise). When using ≥ ≤ sings the circle of the point is closed. When using < and > signs, the circle of the point is open. Thus, in this scenario since he sign is >, then the circle of the point is open. The direction of the arrow and ray for this equality is going to the right because the answer is that x is greater than - 3, Therefore any values greater than - 3 are a possibility which is why the arrow goes on indefinitely.
The probability of getting an even number is 3/6 or 1/2.