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Anvisha [2.4K]
2 years ago
13

Need help finding the area of a compound shape. Need help asap.

Mathematics
1 answer:
beks73 [17]2 years ago
7 0
First, the rectangle:

We have the measurements of a length of 4, and width of 2. The area of a rectangle is Length times Width, therefore:
4x2=8 ft squared for the rectangle.

Now the Triangle:
We see that the whole left side is 4ft, and that the rectangle's width is 2ft; therefore, the left side of the triangle is 2 ft (4-2).
The area of a triangle is 1/2Base times Height. The base is 4, and the height is 2; therefore:
1/2x4x2=4 ft squared.

Now we add our areas for the total:

4+8=12 ft squared

I hope this Helps!
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2 years ago
Solve the equation:<br><br> a) -3 = 7+2t/3<br><br> b) 4(5x-2) = 7(2x+3) <br><br> c) 2x-6 = 30-2.5x
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Let's start by solving the first equation.

a) -3 = 7 + 2t/3 
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8


Now let's move on to the next equation.

b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21

Now, lets subtract 14x from both sides of the equation.

6x - 8 = 21

Next, let's add 8 to both sides of the equation.

6x = 29

And divide both sides by the coefficient of x, which is 6.

x = 29/6 or 4 5/6

Now for the last equation.

C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9

Hope this helps! :)
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Archy [21]
The height is 12cm, and the diameter is 8cm.
4 0
3 years ago
Read 2 more answers
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