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3 years ago

Find the direction to the nearest degree for the vector a=<-8,4>

Mathematics

1 answer:

siniylev [52]3 years ago

6 0

Answer & Explanation:

To find the direction cosines of the vector a is need to divided the corresponding coordinate of vector by the length of the vector. The coordinates of the unit vector is equal to its direction cosines. Property of direction cosines. The sum of the squares of the direction cosines is equal to one.

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Emily has $3.15 worth of dimes and quarters. She has twice as many dimes as quarters. Determine the number of dimes and the numb

Cerrena [4.2K]

Answer:

The number of dimes is 14 and the number of quarters is 7.

Step-by-step explanation:

Given:

Emily has $3.15 worth of dimes and quarters.

She has twice as many dimes as quarters.

Now, to determine the number of dimes and the number of quarters.

Let the number of quarters be $x.$

And the number of dimes be $2x.$

So, the total worth of dimes and quarters = $3.15.

Now, to get the number of dimes and quarters:

According to question:

$0.10(2x)+0.25x=3.15$

$0.20x+0.25x=3.15$

$0.45x=3.15$

Dividing both sides by 0.45 we get:

$x=7.$

Thus, the number of quarters = 7.

So, the number of dimes = $2x=2\times 7=14.$

Therefore, the number of dimes is 14 and the number of quarters is 7.

6 0

3 years ago

ACDF is a trapezoid and

Sholpan [36]

Answer:

x = 7

Step-by-step explanation:

See the attached figure.

As shown: A C D F is a trapezoid and BE is a mid-segment.

The mid-segment of the trapezoid is the average of its bases.

BE = 0.5 ( A F + C D)

Given: CD = 18 , BE = 2x + 10 and A F = 6x - 12

So,

2x + 10 = 0.5 ( 18 + 6x - 12)

Solve for x

2x + 10 = 0.5 (6 + 6x)

2x + 10 = 3 + 3x

10 - 3 = 3x - 2x

∴ x = 7

So, the value of x is 7

8 0

3 years ago

How many significant digits are in thus number 74.30

goblinko [34]

Answer:

Step-by-step explanation:

all numbers except from zero

that would mean 7 4 and 3

so there would be 3 significant figures

I hope it goes well

7 0

3 years ago

Which expressions are equivalent to 2-(-6+3)+4c

Artyom0805 [142]

Answer:

c. none of the above

Step-by-step explanation:

(-6+3)= -3

2--3=2+3=5

5+4c cant add them since they arent like terms

final answer 5+4c and that option isnt here

3 0

3 years ago

What is the length of pr ? PLEASE HELP

Karolina [17]

The angles in the triangles are the same, so you know the triangles are similar. Sides PQ and AB correspond as do sides PR and AC. Because the triangles are similar, you know that
PR/AC = PQ/AB
PR/24 = 5/20
Multiplying this equation by 24 gives
PR = 24*(5/20) = 6

The appropriate choice is ...
C. 6

3 0

3 years ago

Read 2 more answers