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EleoNora [17]
3 years ago
15

The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for pi. Round to

the nearest whole number. please answer as soon as poossible
70 in
84 in
154 in
224 in

Mathematics
2 answers:
Andru [333]3 years ago
7 0
The area of a full circle is given by
  A = π*r^2
so the area of a 1/4 circle will be 1/4 of that:
  A = (π/4)*r^2

The area of a parallelogram is the product of base length and height:
  A = bh

Your composite figure will have an area that is the sum of the areas of the parts.
  A = (quarter circle area) + (parallelogram area)
  A ≈ (3.14/4)*(14 in)^2 +(14 in)*(5 in)
  A ≈ 223.86 in^2 ≈ 224 in^2

The most appropriate selection is the last one,
  224 in^2
Andreyy893 years ago
6 0

Answer:

the answer is d

Step-by-step explanation:

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Find the missing values for the exponential function represented by the table below.
mylen [45]
<h3>Answer:</h3>

c. 27 40.5

<h3>Step-by-step explanation:</h3>

Step 1 is "read and understand the problem." Step 2 is "read the answer choices."

To choose the correct answer here, you only need to know that exponential growth functions are non-decreasing. The next y-values cannot be smaller than the values already shown.

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If you insist on doing some calculation, ...

Comparing adjacent values, you see that the common ratio is 3/2.

  • 18 × 3/2 = 27
  • 27 × 3/2 = 40.5
6 0
3 years ago
20 POINTS!!!!!
harina [27]

Answer:

20.  300π m³

21.  457 1/3 π cm³

Step-by-step explanation:

20. r = 10 ÷ 2 = 5

V = 5² × 12 × π = 25 × 12π=300π m³

21. r = 14 ÷ 2 = 7

V = \frac{4}{3} \pi 7x^{3}

V = 457 1/3 π cm³

4 0
4 years ago
What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y? Enter your answers in the boxes.
mamaluj [8]

Answer:

=7x+2y+4

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Which system of equations can you use to find the roots of the equation 2x3 + 4x2 – x + 5 = –3x2 + 4x + 9?
Degger [83]

Answer:

y=2x^3+4x^2-x+5

y=-3x^2+4x+9

Step-by-step explanation:

The given equation is in the form 2x^3+4x^2-x+5=-3x^2+4x+9

We have to evaluate the correct system of equations which can be used to find the roots of the equation.

We can find the root of the equation by plotting the graph of the equations. In order to graph, we can assume the left and right hand side of the given equation as two separate equations.

Therefore, we have

y=2x^3+4x^2-x+5

y=-3x^2+4x+9

Now, we plot the graph of these two equations in the same coordinate plane. The intersection point (s) would be the roots of the given equation.

Hence, the system of equation that we can use to find the root of the given equation is

y=2x^3+4x^2-x+5

y=-3x^2+4x+9

Last option is correct.

3 0
3 years ago
Read 2 more answers
Find the product. If the result is negative, enter "-". If the result is positive, enter "+". -7(- a2 ) 2 ( -b3 ).
m_a_m_a [10]

Answer:

The product is positive, thus it is \bold{+7a^4b^3}

Step-by-step explanation:

The full question in proper notation is:

"Find the product. If the result is negative, enter "-". If the result is positive, enter "+".

-7(-a^2)^2(-b^3)"

We have to work with it using Order of operations know as well as PEMDAS, thus expression inside parenthesis go first and exponents.

On this expression we have to work with exponents

(-a^2)^2 = (-a^2)(-a^2) =a^4

Thus we get

-7(-a^2)^2(-b^3)=-7a^4(-b^3)

Lastly we can work with multiplication and remembering that the multiplication of two negative signs becomes positive.

-7(-a^2)^2(-b^3)=7a^4b^3

So the final simplified expression is \bold{7a^4b^3}

5 0
3 years ago
Read 2 more answers
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