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2 years ago

A flying disc has a 434 inch radius. What is its approximate circumference, rounded to the nearest inch?

Mathematics

2 answers:

NeX [460]2 years ago

6 0

ur mother is beautiful and my mom is more beautiful

aalyn [17]2 years ago

5 0

Answer:

Answer is 2726.9

Step-by-step explanation:

I hope it's helpful!

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Complete the identity. 1) sec^4 x + sec^2 x tan^2 x - 2 tan^4 x = ?

Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified

Given

$sec^4 x + sec^2 x tan^2 x - 2 tan^4 x$

Required

Simplify

$(sec^2 x)^2 + sec^2 x tan^2 x - 2 (tan^2 x)^2$

Represent $sec^2x$ with a

Represent $tan^2x$ with b

The expression becomes

$a^2 + ab- 2 b^2$

Factorize

$a^2 + 2ab -ab- 2 b^2$

$a(a + 2b) -b(a+ 2 b)$

$(a -b) (a+ 2 b)$

Recall that

$a = sec^2x$

$b = tan^2x$

The expression $(a -b) (a+ 2 b)$ becomes

$(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

..............................................................................................................................

In trigonometry

$sec^2x =1 +tan^2x$

Subtract $tan^2x$ from both sides

$sec^2x - tan^2x =1 +tan^2x - tan^2x$

$sec^2x - tan^2x =1$

..............................................................................................................................

Substitute 1 for $sec^2x - tan^2x$ in $(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

$(1) (sec^2x+ 2 tan^2x)$

Open Bracket

$sec^2x+ 2 tan^2x$ ------------------This is an equivalence

$(secx)^2+ 2 (tanx)^2$

Solving further;

................................................................................................................................

In trigonometry

$secx = \frac{1}{cosx}$

$tanx = \frac{sinx}{cosx}$

Substitute the expressions for secx and tanx

................................................................................................................................

$(secx)^2+ 2 (tanx)^2$ becomes

$(\frac{1}{cosx})^2+ 2 (\frac{sinx}{cosx})^2$

Open bracket

$\frac{1}{cos^2x}+ 2 (\frac{sin^2x}{cos^2x})$

$\frac{1}{cos^2x}+ \frac{2sin^2x}{cos^2x}$

Add Fraction

$\frac{1 + 2sin^2x}{cos^2x}$ ------------------------ This is another equivalence

................................................................................................................................

In trigonometry

$sin^2x + cos^2x= 1$

Make $sin^2x$ the subject of formula

$sin^2x= 1 - cos^2x$

................................................................................................................................

Substitute the expressions for $1 - cos^2x$ for $sin^2x$

$\frac{1 + 2(1 - cos^2x)}{cos^2x}$

Open bracket

$\frac{1 + 2 - 2cos^2x}{cos^2x}$

$\frac{3 - 2cos^2x}{cos^2x}$ ---------------------- This is another equivalence

8 0

2 years ago

Tourists from a tour bus were asked about places they visited during their stay in a city. The results are shown in the table.

nlexa [21]

Given:

visited museum didn't visit museum Total

visited zoo 9 14 23

didn't visit zoo 5 2 7

Total 14 16 30

Simply look at the table and check the number that corresponds to visitors who visited the museum but did not visit the zoo. The number is 5.
Divide it by the total number of people surveyed. Total is 30.

Probability visited the museum but did not visit the zoo = 5/30 = 0.16666 or 16.67%

7 0

2 years ago

Solve the equation x³ − 5 = 59

In-s [12.5K]

Answer:

4 = x

Step-by-step explanation:

x³ - 5 = 59 Add five to both sides of the equation.

x³ = 64 Now find the cubed root of 64

∛64 = 4

x = 4

3 0

3 years ago

__________ reasoning is a type of reasoning that uses previously proven or accepted properties to reach conclusions.

Alekssandra [29.7K]

Deductive reasoning is your answer

5 0

2 years ago

The volume of the triangular prim is 250 cubic inches. What is the value of x

Vinvika [58]

Answer:

12 in

Step-by-step explanation:

thank me and rate me plz!!!! thank you :)

7 0

3 years ago