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3 years ago

HELP !!!!!!!!!!!!!!!!

Mathematics

1 answer:

Fantom [35]3 years ago

5 0

Answer:

∠2 = 51°

Step-by-step explanation:

The sum of supplementary angles = 180°

Equate the sum of the angles to 180 and solve for a

11a + 19 + 6a - 9 = 180

17a + 10 = 180 ( subtract 10 from both sides )

17a = 170 ( divide both sides by 17 )

a = 10

Hence

∠2 = (6 × 10) - 9 = 60 - 9 = 51°

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If x varies directly as y, then what is y when x = 4, knowing that x = 60 when y = 5?

Basile [38]

Answer: The answer would be 1/2

Step-by-step explanation:

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The first sentence is there for information, the constant is a number( 1,2,3...so on) , so the only number is -5

It is a linear equation meaning equation of a straight line.

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if y= 15, when x=60, then there is a number m such that m*y= 60

or m= 60/y= 60/15 =4

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The distance a car travels at a constant speed varies directly as the time the car spends traveling. If a car traveled 105 miles in 3 hours, how far could the car travel in 5 hours?

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3 years ago

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Apples at the farmers’ market cost $2.50 for 5 apples or $0.70 for 1 apple.

Lynna [10]

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3 years ago

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Sawyer fills 1/6 of his gas tank in 3/4 of a minute. How many minutes will it take Sawyer to fill his gas tank?

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3 years ago

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You and your friend each deposit $50 in separate savings accounts. Your account earns 2% simple annual interest. Your friend’s a

d1i1m1o1n [39]

Answer:

I am will take 20 years to get 20$

My friend will take 10 years to get 20$

Step-by-step explanation:

$Let \: the \: no. \: of \: years : x \\ \\ for \: me \\ x \times (50 \times 2\%) = 20 \\ x \times 1 = 20 \\ x = 20 years\\ for \: my \: friend \\ x \times (50 \times 0.04) = 20 \\ 2x = 20 \\ x = 10 \: years$

I hope this is be good for you and I want this money

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3 years ago

Walk fifty meters at 30o north or east from the old oak tree. (2) Turn 45o to your left (you should now be facing 75o north of e

saw5 [17]

Answer:

A straight line of approximately 75 meters, 1.4º north

Step-by-step explanation:

Hi, let's make it step by step to make it clearer

1) If we walk 50 meters in 30º angle Northeast, assuming the Old Oak tree is the point 0,0 and we're dealing with vectors in $R^{2}$ . To say 30º Northeast is 30º clockwise (or 60º counter clockwise).

2) Then there was a the turning point to the left. If I turn to the left, on my compass 45º , I'll face 75º northeast.

3) Finally, the last vector leads to the treasure from the Old Oak Tree, i.e. the resultant.

So, let's calculate the norm which is the length of the each vector.

1) Graphing them we can find the points, then the components and then calculate the norm, the length of each vector.

Since the Oak Tree is on (0,0). The turning point (50,86.61) and the Rock (R=(1.4,74,85) we can write the following vectors:

$\vec{u}=\left \langle 50,86.61 \right \rangle\\\vec{v}=\left \langle -48.6,-11.76\right \rangle\\\vec{w}=\left \langle 1.4,74.85 \right \rangle$

Now, let's calculate each vector length by calculating the norm.

$\left \| \vec{u} \right \|=\sqrt{50^{2}+86.6^2}=100\\\left \| \vec{v} \right \|=\sqrt{(-48.6)^2+(-11.76)^2}=50\\\left \| \vec{u} \right \|=\sqrt{(1.4)^2+(74.85)^2}=74.86$

The path is almost 75 meters. And since it is less than 15º degrees to the left of the North (or to the right) its direction is still north of the Old Oak Tree.

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3 years ago