State true or false. If 9 is the solution of variable x in the equation fraction numerator 5 straight x space minus space 7 space over denominator 2 end fraction space equals space straight y, then the value of y is 28

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Answer:

  (c) 5.4°

Step-by-step explanation:

We can simply determine the difference between the angles of the vectors:

  arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°

The angle between the vectors is about 5.4°.

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Alternate solutions

1) We could also determine the angle of their ratio.

  u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i

  angle = arctan(0.1/1.05) = 5.440°

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2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))

  tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))

  = (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2

  ∠u -∠v = arctan(2/21) = 5.440°

Answer:

D = 1

Step-by-step explanation:

0.99949

round the answer so its 1

diameter = 1

Answer:

14.8%

Step-by-step explanation:

Given data

Initial income=47

Final income=40

The change= 47-40

=7

Hence the percent increase is

% increase= Change/ initial*100

% increase= 7/47*100

% increase=0.148*100

% increase=14.8%

Answer:

first one............

Answer:

2x+1+4x-19=180, 6x-18=180, 6x=198, x=33

Answer:

70

Step-by-step explanation

Find the diagram attached

Average = Sum of scores/sample size

Given the 7 numbers

20, 20, 20, 30, 80, 80, 80

Average = 50

5 = 20+20+20+30+80+80+80+x/8

x is the score of the 8th student

50 = 330+x/8

400 = 330+x

x = 400-330

x = 70

Hence the score of the 8th student is 70

Answer:

11 inches

Step-by-step explanation:

Volume of a box is:

[tex]l * w * h[/tex]

[tex]8 * 3 * h = 264\\\\24*h=264\\\\\frac{24*h=264}{24} \\\\\boxed{h=11}[/tex]

The height is 11 inches.

Hope this helps.

Volume of the box = LWH.

Let V = 264

264 = (8)(3)(H)

264 = 24H

264 ÷ 24 = H

11 = H

The height of the box is 11 inches.

Answer:

3x^2+7x-20

Step-by-step explanation:

Answer:

expand the brackets

3x^2 + 7x -20

Step-by-step explanation:

(3x-5)(x+4)

= 3x^2 + 12x - 5x + 20

= 3x^2 + 7x + 20

Answer:

AREA=PI*6*6 THUS THE RADIUS IS 6 CM. C=37.68 CM.

Step-by-step explanation:

Answer:

tip = $15.128

Step-by-step explanation:

tip = 75.64 × 20/100

tip = 1512.8/100

tip = $15.128

Answer:

a) 10.10 a.m. , (b) 10.20 a.m. which is 10 minutes after sprints start , (c) The students work at 10.50 a.m. , (d) For 60 minutes from 10 a.m. to 11 a.m. which equals to 1 hour

Well the half point of 427 and 428 is 427.5 so 427.5.

Answer:

false

Step-by-step explanation:

The value of |−37| is 37

however, since the negative sign is in front of the absolute value,

−|−37| = -37

Therefore,

−|−37| does not equal 37

The given statement −|−37| = 37 is false.

Given that, −|−37| = 37.

We need to whether the given statement is true or false.

The absolute value of a variable x is represented by |x| which is pronounced as 'Mod x' or 'Modulus of x'. 'Modulus' is a Latin word, which means 'measure'. Absolute value is commonly referred to as numeric value or magnitude. The absolute value represents only the numeric value and does not include the sign of the numeric value. The modulus of any vector quantity is always taken as positive and is its absolute value.

Now, |−37|=37

So, -|−37|=-37

Therefore, the given statement is false.

To learn more about an absolute value visit:

https://brainly.com/question/1301718.

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Answer:

If y = 2x - 5, and x = 3z, then y = 6z - 5

Answer: 3

Step-by-step explanation:

Vince will have to buy three cartons of 500 ml each.

An expression in mathematics is a combination of terms both constants and variables.

Given is that every time Vince orders Chinese food, he gets egg drop soup. So, he decides to learn how to make it himself. His recipe calls for 1.5 liters of broth, but he can only find 500 milliliter cartons at the store.

We know that -

1 Liter = 1000 milliliters

1.5 liter = 1500 liters

Now -

1 carton 500 ml.

Then, 1 ml will be in (1/500) carton.

So, 1500 ml will be in (1/500 x 1500) = 3 cartons

Therefore, Vince will have to buy three cartons of 500 ml each.

To solve more questions on algebraic expressions, visit the link below -

https://brainly.com/question/27911936

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Answer:

Im not sure Im sorry Im just trying to get points but I will send to a friend to help

Step-by-step explanation:

Answer:

1 6/8 cups of flour

Step-by-step explanation:

Just subtract 2 1/8 from 3 7/8

Answer:

Step-by-step explanation:

a solution is where both of the lines meet.  or they have the same point on each line. so you can set the equation of each line equal to the other.

for this  "solution" just look at the graph and see where the two lines meet.. and find the x coordinate of that point.

I see it meeting at x =2     get it?

Answer:

A

Step-by-step explanation:

The root 5's cancel each other out.

4x-2x = 2x

Therefore

2x/3 is the final answer

Answer:

-11 and -7

Step-by-step explanation:

Answer:

-11 and -7

Step-by-step explanation:

-11 + (-7) = -18

-11 x -7 = 77

Answer:

22,815

Step-by-step explanation:

35% of 35,100 is 12285, then you subtract that from 35,100 to get 22,815. Hope this helps.

Answer:

35

Step-by-step explanation:

This is a combination problem therefore we need to use the combination formula using factorials, plug in the values for n and r which would be 7 since there are 7 individuals in the group and 3 because we are making outcomes of 3.

C(n,r)=C(7,3)

=7!(3!(7−3)!)

=7!3!×4!

= 35

Finally, we can see that the total number of possible outcomes is 35

B is standard form. y=1/2x + 2

Answer:

d.-7x+2y=9 that is the answer

Answer:

Step-by-step explanation:

Step 1

Find the missing angle:

Step 2

Find the missing sides by using the law of sines:

Step 3

Use Heron's formula for the area:

Find s:

Find A:

Answer:

# yellow = 20

# blue = 23

# red = 5

Step-by-step explanation:

let 'r' = # red marbles

let '4r' = # yellow marbles

let '3+4r' = # blue marbles

r + 4r + 3 + 4r = 48

9r + 3 = 48

9r = 45

r = 5

red = 5

yellow = 4(5) = 20

blue = 3+4(5) = 23