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4 years ago

(5x + 4)° (8x – 710°

Mathematics

2 answers:

DochEvi [55]4 years ago

6 0

Answer:

x = 19

Step-by-step explanation:

Assuming the question was (5x + 4)° (8x – 71)°=180° not (5x + 4)° (8x – 710°,

Simplifying

(5x + 4) + (8x + -71) = 180

Reorder the terms:

(4 + 5x) + (8x + -71) = 180

Remove parenthesis around (4 + 5x)

4 + 5x + (8x + -71) = 180

Reorder the terms:

4 + 5x + (-71 + 8x) = 180

Remove parenthesis around (-71 + 8x)

4 + 5x + -71 + 8x = 180

Reorder the terms:

4 + -71 + 5x + 8x = 180

Combine like terms: 4 + -71 = -67

-67 + 5x + 8x = 180

Combine like terms: 5x + 8x = 13x

-67 + 13x = 180

Solving

-67 + 13x = 180

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '67' to each side of the equation.

-67 + 67 + 13x = 180 + 67

Combine like terms: -67 + 67 = 0

0 + 13x = 180 + 67

13x = 180 + 67

Combine like terms: 180 + 67 = 247

13x = 247

Divide each side by '13'.

x = 19

Simplifying

x = 19

Tema [17]4 years ago

3 0

That’s the answer and that all I got for you 2*(5x-4)*(4x-355)

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Answer:

If it's the hour hand, 1/4 of a day or 6 hours have passed. If it's the minute hand, 1/48 of a day or 30 minutes have passed.

Step-by-step explanation:

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Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a sphere (V) = 4/3 π radius³

Replacing with the values given and solving for V (volume)

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3 years ago

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:

See comment for complete question.

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

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

$H = 104.76 * 0.5932$

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The above represents the height of the tree.

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2 years ago

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