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3 years ago

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Which equation is the slope-intercept form of the line that passes through (-3,5) and is parallel to the of y=−2\3x+5

1 answer:

irinina [24]3 years ago

8 0

Answer:

y = -2/3x + 3

Step-by-step explanation:

y = -2/3x + b

5 = -2/3(-3) + b

5 = 2 + b

3 = b

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Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of

Shalnov [3]

Answer:

$Owl= 67.14ft$

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

$22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}$

$22^{\circ} 8'6'' = 22.135^{\circ}$

$30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}$

$30^{\circ} 40'30'' = 30.675^{\circ}$

Considering Jason's position:

$tan(22.135^{\circ}) = \frac{H}{x + 48}$

Where x = distance between the tree and Alison

Make H the subject

$H = (x + 48)tan(22.135^{\circ})$

Considering Alison's position

$tan(30.675^{\circ}) = \frac{H}{x}$

Make H the subject

$H = xtan(30.675^{\circ})$

$H = H$

$(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})$

$(x + 48) *0.4068 = x* 0.5932$

Open bracket

$x *0.4068 + 48 *0.4068 = 0.5932x$

$0.4068x + 19.5264 = 0.5932x$

Collect Like Terms

$-0.5932x+0.4068x = -19.5264$

$-0.1864x = -19.5264$

$0.1864x = 19.5264$

Make x the subject

$x = \frac{19.5264}{0.1864}$

$x = 104.76$

Substitute 104.76 for x in $H = xtan(30.675^{\circ})$

$H = 104.76 * tan(30.675^{\circ})$

$H = 104.76 * 0.5932$

$H = 62.14$

The above represents the height of the tree.

The height of the owl is:

$Owl= H + 5$

$Owl= 62.14 + 5$

$Owl= 67.14ft$

7 0

2 years ago

Which table shows a non linear relationships between x and y

bazaltina [42]

Answer:

both of them thats the answer

Step-by-step explanation:

7 0

3 years ago

A recipe requires 3/4 of a cup of flour.

nalin [4]

Answer:

<h2>168.75 g</h2>

Step-by-step explanation:

the required mass of flour = (3÷4)×225 = 168.75

8 0

4 years ago

Clard graphed her reading fluenoy

Digiron [165]

Answer:

100

Step-by-step explanation:

To find mean/average you add all of them together, then divide by however number there are.

So

99+88+97+107+100+109 = 600/6 = 100

3 0

3 years ago

7(x−5)−9=334 what is the answer of x

slega [8]

Answer:

$\boxed {x = 54}$

Step-by-step explanation:

Solve for the value of $x$ :

$7(x - 5) - 9 = 334$

-Use <u>Distributive Property</u>:

$7(x - 5) - 9 = 334$

$7x - 35 - 9 = 334$

-Combine like terms:

$7x - 35 - 9 = 334$

$7x - 44 = 334$

-Add both sides by $44$ :

$7x - 44 + 44 = 334 + 44$

$7x = 378$

-Divide both sides by $7$ :

$\frac{7x}{7}= \frac{378}{7}$

$\boxed {x = 54}$

Therefore, the value of $x$ is $54$ .

8 0

3 years ago