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2 years ago

13

Mr. Stewart wants to cut a board that is 34 inches long into four pieces that are the same length. How long will each board be a

fter he cuts them?

1 answer:

Artist 52 [7]2 years ago

6 0

Answer:

8.5

Step-by-step explanation:

divide 34 by 4 and it gives you 8.5

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Please someone help me...

laiz [17]

Step-by-step explanation:

First factor out the negative sign from the expression and reorder the terms

That's

$\frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \cot(6A) - \cot(2A) }$

<u>Using trigonometric </u><u>identities</u>

That's

<h3> $\cot(x) = \frac{1}{ \tan(x) }$ </h3>

<u>Rewrite the expression</u>

That's

$\frac{1}{ - (( \tan(2A) - \tan(6A) )} - \frac{1}{ \frac{1}{ \tan(6A) } } - \frac{1}{ \frac{1}{ \tan(2A) } }$

We have

<h3> $- \frac{1}{ \tan(2A) - \tan(6A) } - \frac{1}{ \frac{ \tan(2A) - \tan(6A) }{ \tan(6A) \tan(2A) } }$ </h3>

<u>Rewrite the second fraction</u>

That's

<h3> $- \frac{1}{ \tan(2A) - \tan(6A) } - \frac{ \tan(6A) \tan(2A) }{ \tan(2A) - \tan(6A) }$ </h3>

Since they have the same denominator we can write the fraction as

$- \frac{1 + \tan(6A) \tan(2A) }{ \tan(2A) - \tan(6A) }$

Using the identity

<h3> $\frac{x}{y} = \frac{1}{ \frac{y}{x} }$ </h3>

<u>Rewrite the expression</u>

We have

<h3> $- \frac{1}{ \frac{ \tan(2A) - \tan(6A) }{1 + \tan(6A) \tan(2A) } }$ </h3>

<u>Using the trigonometric identity</u>

<h3> $\frac{ \tan(x) - \tan(y) }{1 + \tan(x) \tan(y) } = \tan(x - y)$ </h3>

<u>Rewrite the expression</u>

That's

<h3> $- \frac{1}{ \tan(2A -6A) }$ </h3>

Which is

<h3> $- \frac{1}{ \tan( - 4A) }$ </h3>

<u>Using the trigonometric identity</u>

<h3> $\frac{1}{ \tan(x) } = \cot(x)$ </h3>

Rewrite the expression

That's

<h3> $- \cot( - 4A)$ </h3>

<u>Simplify the expression using symmetry of trigonometric functions</u>

That's

<h3> $- ( - \cot(4A) )$ </h3>

<u>Remove the parenthesis </u>

We have the final answer as

<h2> $\cot(4A)$ </h2>

As proven

Hope this helps you

6 0

3 years ago

Read 2 more answers

Simplify each expression using the order of operations

Tju [1.3M]

Answer:

Look at example below...

Step-by-step explanation:

Here's an example to help you:

(2×4) ÷ (1×2)=

8÷2.

Your basically just trying to put the expression with its simplest form.

7 0

3 years ago

A car is accelerating at a rate of 35 m/s2 and has a resulting velocity increase from 17 m/s to 26 m/s. How long did it take to

dalvyx [7]

Answer:

yes I have seen it when I have been on a bike and I have a ma in my daughters ma ja I have been on a regular train to the hospital

Step-by-step explanation:

can you imagine how the books are you and how to download the book of your class to the next page and

4 0

3 years ago

A circle has a central angle measuring StartFraction 7 pi Over 10 EndFraction radians that intersects an arc of length 33 cm. Wh

cupoosta [38]

The radius of the given circle with a central angle of 7π/10 and arc length of 33cm is 15cm.

It is given that

The central angle of the given circle = 7π/10 radians

Length of arc = 33cm

<h3>What is the formula for arc length?</h3>

Arc length = central angle* radius

From the above formula

Radius = Arc length/Central Angle

Radius = $\frac{33}{(7\pi)/10 }$

Radius = 15cm

Therefore, radius of the given circle is 15cm.

to get more about circles visit:

brainly.com/question/22965557

8 0

2 years ago

HELPPPP PLEASEEEEE<br> !!!!!!

Vera_Pavlovna [14]

We can use the points (13, 11) and (14, 6) to solve.

Slope formula: y2-y1/x2-x1

= 6-11/14-13

= -5/1

= -5

Therefore, the slope is -5.

Best of Luck!

7 0

3 years ago

Read 2 more answers