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3 years ago

Find the indicated side of the right triangle

Mathematics

2 answers:

Tcecarenko [31]3 years ago

7 0

Answer:

$\tan(30) = \frac{7}{x}$

$\frac{1}{ \sqrt{3} } = \frac{7}{x}$

$x = 7 \sqrt{3}$

Black_prince [1.1K]3 years ago

4 0

Answer:

7 * sqrt(3) =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 60 = x/7

Multiply each side by 7

7 tan 60 =x

We know than 60 =sqrt(3)

7 * sqrt(3) =x

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Three more than twice a number is nine

denis23 [38]

Answer:

2x + 3 = 9

Step-by-step explanation:

Three more than twice a number is nine

Twice a number would be 2x
where x is the number

Three more would be + 3

And is means equal sign or “=“

6 0

3 years ago

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Write in exponential notation of 4x1000+9x100+0x10+7x1

Llana [10]

Answer

4000

900

Step-by-step explanation:

Not so sure about the answer though

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3 years ago

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Which of the following is the decimal 0.6250 written as a fraction in lowest form

geniusboy [140]

The answer is 5/8. Hope this helps

6 0

3 years ago

Graph the inverse circular function by hand, given f(x) = 3sin(2x) ;-pi/4 ≤ ≤pi/4

nasty-shy [4]

Part a)

a) The given function is

$f(x) = 3 \sin(2x)$

We let

$y = 3 \sin(2x)$

Interchange x and y.

$x= 3 \sin(2y)$

Solve for y;

$\frac{x}{3} = \sin(2y)$

$y = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

${f}^{ - 1}(x) = \frac{1}{2} { \sin}^{ - 1}( \frac{x}{3} )$

Part b) The range of f(x) refers to y-values for which f(x) exists.

The range of f(x) is

$- 3 \leqslant y \leqslant 3$

This is because the function is within y=-3 and y=3.

c) The range of

${f}^{ - 1} (x)$

$- \frac{ \pi}{4} \leqslant y \leqslant \frac{\pi}{4}$

The domain is -3≤x≤3

This is because the domain and range of a function and its inverse swaps.

Part d) The graph is shown in the attachment.

3 0

3 years ago

Solve for x. 3x−82=x−6 Enter your answer in the box. x =

My name is Ann [436]

Get like terms together. you might have to move across the equals sign

3x-x=-6+82

2x=76

x=38

6 0

3 years ago