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deff fn [24]
2 years ago
11

Simplify

Mathematics
1 answer:
Lapatulllka [165]2 years ago
7 0

Answer:

\frac{4\sqrt{5} }{5}

Step-by-step explanation:

Multiply the numerator and denominator by the conjugate.

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Can u solve this for me??
dangina [55]

Answer:

19 lawns

Step-by-step explanation:

well 64.99 is about $65

so you would need to mow atleast 19 lawns (this does not included tax XD)

3 0
3 years ago
Please help me y'all this is due soon. :))​
Rashid [163]
Not sure for the others but a is 55 cause ps is half a circle witch is 180 and pt is 125 so just subtract 180 - 125 =55
6 0
2 years ago
What is the length of side a? Round to the nearest tenth of an inch. Enter your answer in the box. ( Answer in Inches )
Jet001 [13]

Given:

Base of a right triangle = 7 in

Height of a right triangle = a

Hypotenuse = 16 in

To find:

The length of side a.

Solution:

Using Pythagoras theorem:

\text{Base}^2+\text{Height}^2=\text{Hypotenuse}^2

7^{2}+a^{2}=16^{2}

49+a^{2}=256

Subtract 49 from both sides.

49+a^{2}-49=256-49

a^{2}=207

Taking square root on both sides, we get

a = 14.4

The length of side a is 14.4 in.

3 0
3 years ago
In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each poin
Korolek [52]

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

r  {}^{2} =  {x}^{2}  +  {y}^{2}

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

\tan(x)  =  \frac{y}{x}

Remeber since we are trying to find the angle measure, use inverse tan function

\tan {}^{ - 1} ( \frac{y}{x} )  =

Answers For 2,5

{2}^{2}  +  {5}^{2}  =  \sqrt{29}  = 5.4

So r=sqr root of 29

\tan {}^{ - 1} ( \frac{5}{2} )  = 68

So the answer is (sqr root of 29,68).

For -3,3

{ -3 }^{2}  +  {3}^{2}  =  \sqrt{18}  = 3 \sqrt{2}

\tan {}^{ - 1} ( \frac{3}{ - 3} )  =  - 45

Use the identity

\tan(x)  =  \tan(x + \pi)

So that means

\tan(x)  = 135

So our points are

(3 times sqr root of 2, 135)

For 5,-3.5

{5}^{2}  +  {3.5}^{2}  =  \sqrt{37.25}

\tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} )  = 35

So our points are (sqr root of 37.25, 35)

For (0,-5.4)

{0}^{2}  +  { - 5.4}^{2}  = \sqrt{}  29.16 = 5.4

So r=5.4

\tan {}^{ - 1}  (0)  = undefined

So our points are (5.4, undefined)

4 0
3 years ago
Three times the sum of a number and six
bagirrra123 [75]

Answer:

3(x+6)

Step-by-step explanation:

4 0
3 years ago
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