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Delvig [45]
3 years ago
8

Find the area of the irregular shape. Round to the nearest tenth.

Mathematics
1 answer:
svp [43]3 years ago
3 0
Given: 
Irregular Shape: 
Semi-circle and rectangle:

Area of a rectangle = l * w
Area of a semi-circle = (π r²)/2

Area of rectangle = 8 cm * 5 cm = 40cm²
Area of a semi-circle = (3.14 (4²))/2 = (3.14*16)/2 = 50.24/2 = 25.12cm²
4² is taken from diameter of 8cm divided by 2 to get the radius.

Total area = 40 cm² + 25.12 cm² = 65.12 cm²
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irina [24]

Step-by-step explanation:

In the attached images we can see the rigid transformation of the function f(x) =x^{3}

1. The basic graph f(x) =x^{3}

2. The reflected graph f(x) = -x^{3}

3. The displaced graph f(x) = -(x-4)^{3}

Reflection: In the expression f(x) = -(x-4)^{3} , the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x) , then the reflection on the x axis is equal to the reflection on the y axis.

Displacement: We observe the term (x-4) of the function f(x) = -(x-4)^{3} and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted .

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4 years ago
There are going to be presentations at a school. If 30 people can fit in a room, how many rooms are necessary if there area tota
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4 years ago
In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the gr
kompoz [17]
A turning point occurs when the velocity is equal to zero, but the acceleration is not equal to zero. 

t(x)=(x+5)^3+7

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d2t/dx2=6(x-5)

dt/dx=0 only when x=-5

However, since d2t/dx2(-5)=0, this point is an inflection point, not a turning point.

So there is no turning point for this function.

Now in this problem, it is even easier than the above to show that there is no turning point.  A turning point by definition is when the derivative or velocity changes sign.  Since in this case v=3(x+5)^2, for any value of x, v≥0, and thus never becomes negative, so it never changes from a positive to negative velocity because velocity in this instance is a squared function.


8 0
3 years ago
chen is buying a ham. He wants to divide it into 6.5-ounce servings for 12 people. write and solve a division equation to find w
OLga [1]

Answer:

Amount of people to serve x Serving Size = Size of ham

12 x 6.5 = ?

=78

Step-by-step explanation:

Looking for size ham chen should buy = ?

Amount of people to serve = 12

Serving Size = 6.5-ounce

Equation=

Amount of people to serve x Serving Size = Size of ham

12 x 6.5 = ?

=78

8 0
3 years ago
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