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2 years ago

Find the area of the figure below

Mathematics

1 answer:

horrorfan [7]2 years ago

5 0

Answer:

99 $cm^{2}$

Step-by-step explanation:

12x4=48

12x3=36

12-4-5=3

3x5=15

48+36+15=99

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AB, CD, and EF intersect at O. If CD is perpendicular to EF and m

REY [17]

Answer:

m(∠AOF) = 148°

Step-by-step explanation:

From the figure attached,

CD intersects line EF at a point O.

Line CD is perpendicular to the line EF.

m(∠AOE) = 32°

m(∠COE) = 90°

Since m(∠COE) = m(∠AOE) + m(∠AOC) = 90°

32° + m(∠AOC) = 90°

m(∠AOC) = 90° - 32° = 58°

m(∠AOF) = m(∠AOC) + m(∠COF)

= 58° + 90°

= 148°

Therefore, m(∠AOF) = 148° will be the answer.

4 0

3 years ago

What is the following quotient? 5/√11-√3

kati45 [8]

ANSWER

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

EXPLANATION

The given rational function is

$\frac{5}{ \sqrt{11} - \sqrt{3}}$

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

$\sqrt{11} - \sqrt{3}$

which is

$\sqrt{11} + \sqrt{3}$

When we rationalize we obtain:

$\frac{5( \sqrt{11} + \sqrt{3} )}{(\sqrt{11} - \sqrt{3} )( \sqrt{11} + \sqrt{3} )}$

The denominator is now a difference of two squares:

$(a - b)(a + b) = {a}^{2} - {b}^{2}$

We apply this property to get

$\frac{5( \sqrt{11} + \sqrt{3} )}{( \sqrt{11}) ^{2} - ( \sqrt{3}) ^{2} )}$

$\frac{5( \sqrt{11} + \sqrt{3} )}{11 - 3}$

This simplifies to

$\frac{5( \sqrt{11} + \sqrt{3} )} {8}$

$\frac{5 } {8}\sqrt{11} + \frac{5 } {8}\sqrt{3}$

8 0

3 years ago

Read 2 more answers

Which best describes the difference of 17,552 –14,564?

Alenkasestr [34]

Answer:

2988

Step-by-step explanation:

3 0

3 years ago

Are the lengths of the side of the square and perimeter of the square related proportionally? Why or why not

telo118 [61]

Answer:

They are proportional

Step-by-step explanation:

becaue the length of one of the square's sides is 1/4 the perimeter

8 0

2 years ago

If f(x) = 5x + 4, which of the following is the inverse of (fx)?

lys-0071 [83]

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 5x + 4 ( subtract 4 from both sides )

y - 4 = 5x ( divide both sides by 5 )

$\frac{y-4}{5}$ = x

Change y back into terms of x

$f^{-1}$ (x) = $\frac{x-4}{5}$

3 0

3 years ago

Find the area of the figure below​

Find the area of the figure below