Answer: d
Step-by-step explanation:
Find the area of the rectangle.

Find the area of the base of the semicircle.

12 in would be the diameter, divide by 2 to get the radius.

Plug this into the formula.

Since we do not have a full circle but a semi one instead, we must divide our result by 2.

Add both areas.
180+56.52=236.52
Answer:
No Solution
Step-by-step explanation:

Expand:


Add 5 to both sides:


Subtract 4x from both sides:


No solution as this is false.
Answer:
Step-by-step explanation:
- Diagonals of a rhombus are perpendicular.
- Sides are of equal length.
<u>Use Pythagorean to work out the side length.</u>
- a² = (d₁/2)² + (d₂/2)²
- a² = (24/2)² + (45/2)² = 650.25
- a = √650.25
- a = 25.5 cm
<u>The perimeter is:</u>
- P = 4a
- P = 4*25.5 = 102 cm
Answer:
-8x^12
Step-by-step explanation:
When you have an exponent outside of parenthesis, it is raising everything in the parenthesis to that exponent (in this case, the third). The first step to solve this is to multiply the exponents in the parenthesis by 3. This is called the power of a power rule.
-2 is being raised to the first power. 1x3 = 3, and x is being raised to the fourth power. 4x3 = 12, so you now have:
-2^3x^12
You can simplify -2^3: -2 x -2 x -2 = -8
This leaves you with -8x^12
You can check this by putting -8x^12 and (-2x^4)^3 into a graphing calculator. You know that you simplified correctly if they show the same graphs.
Answer:
x = 6 if that's what your asking
Step-by-step explanation:
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