What is LK rounded to the nearest hundredth? show work if you canAlso what is JK TO THE nearest hundredth? show work if you can

Answers

Answer 1

Answer: LK is actually the opposite side. What you've also been given is the length of the hypotenuse and an angle (20 degrees).

We know that:

sin(β)=Opposite/Hypotenuse=O/H

This is because of the famous:

SOH CAH TOA

-----

We can solve the problem by writing down:

sin(20)=LK/8.5

This means that:

LK = 8.5 * sin(20)

LK = 2.91 metres (to 2 decimal places)

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67.935 in expanded form in fraction form after the decimal

Answers

Hello,

67.935=67+935/1000=67+187/200 = 67|187/200
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What is 24/40 in simplest form??

Answers

it is 3/5 because 40 divided by 8 is 5, and 24 divided by 8 is 3

Final answer:

The fraction 24/40 can be simplified to 3/5 by dividing both the numerator and the denominator by the greatest common divisor, which is 8.

Explanation:

To simplify the fraction 24/40, you have to find the greatest common divisor (GCD), also called the greatest common factor, for 24 and 40. The GCD refers to the largest integer that divides two numbers without leaving a remainder. In this case, the GCD for 24 and 40 is 8.

Now, divide both the numerator and the denominator of the fraction 24/40 by the GCD. This gives us:
24 ÷ 8 / 40 ÷ 8 = 3/5

So, the fraction 24/40 in simplest form is 3/5.

Learn more about Simplifying Fractions here:

brainly.com/question/26436699

#SPJ3

Find the area of each parallelogram.

Answers

Answer:

30 and 21

Step-by-step explanation:

An object is traveling around a circle with a radius of 10 cm. If in 20 seconds a central angle of 1/3 radian is swept out, what is the linear speed of the object?

Answers

The linear speed of the object is $(1)/(6)$

The Radius, r = 10 cm
The Fraction of Radius swept out = $(1)/(3)$
The distance = $10 / (1)/(3)$
The distance covered = $(10)/(3)$

The linear speed :

Radius swept out ÷ time taken
$(10)/(3) * (1)/(20) = (1)/(6)$

The linear speed of the object is $(1)/(6)$

Learn more : brainly.com/question/15154430?referrer=searchResults

Firstly, we will find the distance covered by the object in the 20 seconds:

$\text{angle}(in~radians)=\frac{\text{arch}}{\text{radius}}\Longrightarrow (1)/(3)=(d)/(10~cm)\iff d=(10)/(3)~cm$

We must know that $v=(d)/(\Delta t)$ . So:

$v=(d)/(\Delta t)\Longrightarrow v=((10)/(3)~cm)/(20~s)\iff \boxed{v=(1)/(6)~cm/s}$

Determine whether the following pairs of lines are parallel,perpendicular,or neither. y=2x+1 2x+y=7

Answers

In order to answer this one, you have to remember:

--> Parallel lines have equal slopes.

--> Perpendicular lines have negative reciprocal slopes.

(One slope = - [ 1/the other slope ]

The question gives us two lines:

#1). y = 2x + 1
#2). 2x + y = 7

The first equation is in nice slope-intercept form, and we can see
right away that the slope of its graph is 2 .

The second equation is not in slope-intercept form, so we need to
massage it slightly before we can spot the slope of its graph.

2x + y = 7

Subtract 2x from each side: y = -2x + 7 . <== slope-intercept form.
Slope = -2 .
Now we know both slopes.

#1). Slope = 2
#2). Slope = -2

Are the slopes equal ? I don't think so. 2 is not equal to -2 .
The lines are not parallel.

Are the slopes negative reciprocals ? I don't think so.
2 is not equal to -[ 1/(-2) ].
The lines are not perpendicular.

What does 4/9 - 2/3 equal

Answers

4/9 - 2/3 = 4/9 - 6/9 = -2/9

Answer: -2/9

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