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Paul [167]
4 years ago
15

What are the tangent rations for Y and Z?

Mathematics
1 answer:
vodomira [7]4 years ago
3 0

tangent=\dfrac{opposite}{adjacent}

For\ Y\\\\opposite=8\\adjacent=9\\\\therefore\ \tan Y=\dfrac{8}{9}\\\\For\ Z\\\\opposite=9\\adjacent=8\\\\therefore\ \tan Z=\dfrac{9}{8}


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James has 14{,}500\text { g}14,500 g14, comma, 500, start a text, space, g, end text of sand in his sandbox. He brings home anot
mariarad [96]

Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

The quantity of sandbox James has is 21.9kg

Step-by-step explanation:

Given

Initial quantity of sandbox = 14,500 g

Additional quantity = 7,400 g

Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

Total = Initial Quantity + Additional Quantity

Total = 14,500 g + 7,400 g

Total = 21,900 g

But the question says the answer should be in kg

1000 g is equivalent to 1 kg

21,900 g will be equivalent to \frac{21,900}{1,000} kg

21,900g = \frac{21,900}{1,000} kg

21,900g = 21.9 kg

Hence, the quantity of sandbox James has is 21.9kg

7 0
3 years ago
Help me please, I need help with this it's a major grade so please don't joke around I will give brainliest and 5 stars
erma4kov [3.2K]

Answer:

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Step-by-step explanation:

a clockwise rotation 90 degrees results in a transformation like this:

(x,y)⇒(y,-x)

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3 0
3 years ago
Solve for y. 4y+5/3 = y-8/2 y = -4 y = -5 y = -8
horrorfan [7]

Answer:

<h3>y = -34/5</h3>

Step-by-step explanation:

\dfrac{4y+5}{3}=\dfrac{y-8}{2}\qquad\text{multiply both sides by }\ 2\cdot3=6\\\\6\!\!\!\!\diagup^2\cdot\dfrac{4y+5}{\not3_1}=6\!\!\!\!\diagup^3\cdot\dfrac{y-8}{\not2_1}\\\\2(4y+5)=3(y-8)\qquad\text{use distributive property}\\\\(2)(4y)+(2)(5)=(3)(y)+(3)(-8)\\\\8y+10=3y-24\qquad\text{subtract 10 from both sides}\\\\8y=3y-34\qquad\text{subtract 3y from both sides}\\\\5y=-34\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{34}{5}}

5 0
3 years ago
Choose all that give the correct equation of the line parallel or perpendicular to the given line passing through the point.
andriy [413]

Answer:

A and B

Step-by-step explanation:

Parallel lines are lines which have the same slope. Perpendicular lines have negative reciprocal slopes.

For the options:

A. Both equations have 7/5 as the slope. They are parallel.

B. The slopes are 1 and -1. These are perpendicular.

C. The slopes are 9/2 and are parallel.

D. The slopes are 7/3 and -3/7. They are perpendicular.

The solution is A and B.

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3 years ago
Will Give Brainliest (:.<br><br> What Is The Value Of |C|<br> Please Help.
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The value of c is -12
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