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2 years ago

Whats the answer to this???

Mathematics

1 answer:

Leno4ka [110]2 years ago

8 0

Measure angle EFG = 15 degrees
Measure angle GFH = 15 degrees

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A.Find the total and area of the compound figures

goldfiish [28.3K]

Answer:

(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = $\frac{12ft}{2} = 6 ft$

Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$

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3 years ago

What is the formal definition of a <br>square ?

AfilCa [17]

A shape with 4 equal sides.

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3 years ago

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Jamil uses a 27 cm long wooden board to make a bookend.

Sholpan [36]

The answer would be 24.6 cm

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Solve the for the inequality

Naddika [18.5K]

Answer:

k ≥ -18

Step-by-step explanation:

$-8\leq \frac{2}{5}(k-2)\\\\-8(5)\leq (5)\frac{2}{5}(k-2)\\\\-40\leq 2(k-2)\\\\\frac{-40}{2}\leq \frac{2(k-2)}{2}\\\\-20\leq k-2\\\\-20+2\leq k-2+2\\\\-18\leq k$

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2 years ago

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I need help!!

netineya [11]

Answer:

2x +21

Step-by-step explanation:

$log_{5} {5}^{(2x - 9)} + log_{3} {729}^{5} \\ \\ = log_{5} {5}^{(2x - 9)} + log_{3} {( {3}^{6} )}^{5} \\ \\ = log_{5} {5}^{(2x - 9)} + log_{3} { {3}}^{6 \times 5} \\ \\ = log_{5} {5}^{(2x - 9)} + log_{3} { {3}}^{30} \\ \\ =(2x - 9) log_{5} {5} + 30 log_{3} { {3}} \\ \\ = (2x - 9).1 + 30(1 )\\ ( \because \: log_{a} { {a}} = 1) \\ \\ = 2x - 9 + 30 \\ \\ = 2x +21$

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3 years ago