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3 years ago

A circle has a circumference of 47π units. What is its area? Leave your answer in terms of pi.

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

4 0

Answer:

Step-by-step explanation:

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Rex, Paulo, and Ben are standing on shore watching for dolphins. Paulo sees one surface directly in front of him about a hundred

Ksivusya [100]

1. $m\angle BAC=m\angle CAD,\ m\angle ACB=m\angle ADC=90^{\circ}$ , then $m\angle ABC=m\angle ACD$ and triangles ADC and ACB are similar by AAA theorem.

2. The ratio of the corresponding sides of similar triangles is constant, so

$\dfrac{AC}{AB}= \dfrac{AD}{AC}$ .

3. Knowing lengths you could state that $\dfrac{b}{c}= \dfrac{e}{b}$ .

4. This ratio is equivalent to $b^2=ce$ .

5. $m\angle ABC=m\angle CBD,\ m\angle ACB=m\angle CDB=90^{\circ}$ , then $m\angle BAC=m\angle BCD$ and triangles BDC and BCA are similar by AAA theorem.

6. The ratio of the corresponding sides of similar triangles is constant, so

$\dfrac{BC}{BD}= \dfrac{AB}{BC}$ .

7. Knowing lengths you could state that $\dfrac{a}{d}= \dfrac{c}{a}$ .

8. This ratio is equivalent to $a^2=cd$ .

9. Now add results of parts 4 and 8:

$b^2+a^2=ce+cd$ .

10. c is common factor, then:

$b^2+a^2=c(e+d)$ .

11. Since $e+d=c$ you have $a^2+b^2=c\cdot c=c^2$ .

7 0

3 years ago

Read 2 more answers

Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450,

SOVA2 [1]

Answer:

The total cost of Samantha's college degree is approximately $10,800.

Step-by-step explanation:

Cost of each trimester = $1,450

Now, total cost of fees per year = 3 x Cost of each trimester

= 3 x $1,450 = $4350

So, cost of fees in 2 complete years = 2 x $4,350 = $8,700

Also, Cost of books each trimester =$350

Now, total cost of books per year = 3 x Cost of each trimester

= 3 x $350 = $1,050

So, cost of books in 2 complete years = 2 x $1,050 = $2,100

So, total cost of Samantha's college = Total Trimester fees cost +Total books cost

= $8,700 + $2,100 = $10,800

Hence, the total cost of Samantha's college is approximately $10,800.

3 0

3 years ago

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Pls help asap thx alot<br><br>Find the missing vertical angles

Vladimir79 [104]

Answer:

Vertical angles are congruent, so L3 = 37 degrees, and L4 = 143 degrees.

Let me know if this helps!

6 0

3 years ago

Find the prime factors.<br> 7) 48

FinnZ [79.3K]

Step-by-step explanation:

$48 = 48 \times 1 \\ 48 = (24 \times 2) \times 1 \\ 48 = (12 \times 2) \times 2 \times 1 \\ 48 = (6 \times 2) \times 2 \times 2 \times 1 \\ 48 = (3 \times 2) \times 2 \times 2 \times 2 \times 1$

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3 years ago

Which equation has a constant of proportionality equal to 9?

Ad libitum [116K]

Let y directly proportional to X
thus y = CX
where c is proportionality constant
given c= 9
thus y = 9x

6 0

4 years ago