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Mamont248 [21]
3 years ago
6

What is the approximate area?

Mathematics
2 answers:
Karolina [17]3 years ago
8 0

Answer:

71.76 cm^2

Step-by-step explanation:

The composite figure is made up of a rectangle with a missing half circle and a triangle.

area = area of rectangle + area of triangle - area of half circle

For the circle, radius = r = diameter/2 = 7 cm/2 = 3.5 cm.

area = LW + bh/2 - (pi)r^2/2

area = 10 cm * 7 cm + 7 cm * 6 cm/2 + (3.14)(3.5 cm)^2/2

area = 70 cm^2 + 21 cm^2 - 19.24 cm^2

area = 71.77 cm^2

Answer: 71.76 cm^2

valentina_108 [34]3 years ago
4 0

Answer:

71.77cm

Step-by-step explanation:

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5. Write a real-world problem that can be represented by the<br> expression 21 + (12 x 2).
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Anna Bought 3 Toys each worth 7$. after the purchase, it is announced that the price of the toys has risen to 12$, and Anna decides to Buy 2 More toys before the price rises again. in total, how much did Anna Spend?

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Anca rolls two number cubes labelled 3 to 8. She adds the numbers that show on the cubes. List the possible outcomes. b) What is
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Answer:

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Step-by-step explanation:

6 0
3 years ago
What are the solutions to the following system of equations?<br><br> x − y = 6<br> y = x2 −6
anastassius [24]

The solutions to the given system of equations is (0, -6) and (1, -5)  

<h3>Simultaneous equations</h3>

From the question, we are to determine the solutions to the given system of equations

The equations are

x − y = 6 --------- (1)

y = x² −6 ---------- (2)

From equation (1)

x - y = 6

∴ x = 6 + y ------- (3)

Substitute into equation (2)

y = x² −6

y = (6+y)² −6

y = (6+y)(6+y) -6

y = 36 + 6y + 6y +y² -6

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Simplifying

y² + 12y - y + 30 = 0

y² + 11y + 30 = 0

Solve quadratically

y² + 11y + 30 = 0

y² + 6y + 5y + 30 = 0

y(y +6) +5 (y +6) = 0

(y + 5)(y + 6) = 0

y + 5 = 0 OR y + 6 = 0

y = -5 OR y = -6

Substitute the values of y into equation (3)

x = 6 + y

When y = -5

x = 6 + (-5)

x = 6 -5

x = 1

When y = -6

x = 6 + (-6)

x = 6 -6

x = 0

∴ When x = 0, y = -6 and when x = 1, y = -5

Hence, the solutions to the given system of equations is (0, -6) and (1, -5)  

Learn more on Solving simultaneous equations here: brainly.com/question/16863577

#SPJ!

7 0
2 years ago
Find the length of line segment x.<br> A)<br> 4<br> B)<br> 5<br> 6<br> 7
Korolek [52]

Answer:

x = 6

Step-by-step explanation:

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Open the bracket

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Subtract 16 from each side

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4 0
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