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Anuta_ua [19.1K]
3 years ago
8

The approximate value of 400,000 multiplied by 200

Mathematics
1 answer:
nevsk [136]3 years ago
4 0
I love gv
Ghvfgvvh. How you do your job y
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A circle with radius of 5 cm sits inside a 11 cm * 11 cm rectangle.
Nadusha1986 [10]

Answer:

42.43  cm^{2}

Step-by-step explanation:

Given:

A circle with a radius of 5 cm sits inside a 11 cm x 11 cm rectangle.

Question asked:

What is the area of the shaded region as shown in the figure ?

Solution:

First of all calculate area of circle and then area of rectangle:-

Area\ of\  cirle=\pi r^{2}

                      =\frac{22}{7} \times5\times5\\ \\ =\frac{550}{7}\\  \\=78.571\   cm^{2}\\

<u>As here length an width both are 11 cm, we can say that this is a square.</u>

<u />Area\ of\ square=(Side)^{2}

                         =11\times11=121\ cm^{2}

Now, area of shaded region = Area of square - Area of circle

                                               = 121 - 78.571 = 42.429 cm^{2}

Therefore, the area of the shaded region will be 42.43  cm^{2}

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5 0
3 years ago
Consider a car with a price of $ 15000 that is advertised at a monthly payment of $400.00 for 48 months. What is the A.P.R?
MakcuM [25]

Answer:This would be 1

Because 1 plus 1 equals 2

Step-by-step explanation:

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4 0
2 years ago
Solve the following system of equations algebraically. Verify your solution either graphically or by using matrices.
LiRa [457]
3x - y = 0 . . . (1)
5x + 2y = 22 . . . (2)

From (1), y = 3x . . . (3)

Putting (3) into (2) gives:
5x + 2(3x) = 22
5x + 6x = 22
11x = 22
x = 2

From (3), y = 3(11) = 33

x = 11, y = 33.
5 0
2 years ago
Patrick has just finished building a pen for his new dog. The pen is 3 feet wider than it is long. He also built a doghouse to p
zalisa [80]

General Idea:

(i) Assign variable for the unknown that we need to find

(ii) Sketch a diagram to help us visualize the problem

(iii) Write the mathematical equation representing the description given.

(iv) Solve the equation by substitution method. Solving means finding the values of the variables which will make both the equation TRUE

Applying the concept:

Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3

------

<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y

------

<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

Area \; of \; the\; Pen - Area \;of \;the\;Dog \;House=\;Space\;inside\;Pen\\ \\ x \cdot (x+3)-y=178\\ Distributing \;x\;in\;the\;left\;side\;of\;the\;equation\\ \\ x^2+3x-y=178\Rightarrow\; 1^{st}\; Equation\\

------

<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\

Conclusion:

The systems of equations that can be used to determine the length and width of the pen and the area of the doghouse is given in Option B.

178=x^2+3x-y\\ \\ -6=4x-3y

8 0
3 years ago
Read 2 more answers
Add the two expressions. −2.4n−3 and −7.8n+2 Enter your answer in the box. plz help QUICK!!!!!!!!!!
Nikolay [14]
-2.4n-3+-7.8n+2
you combine like terms
(-2.4n+-7.8n)+(-3+2)
= -10.2n-1
8 0
3 years ago
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