The equation of the line shown in the graph is y = ?.

Assuming the angle made by a vector refers to the angle it makes with the positive horizontal axis, take the dot product of u with the vector (1, 0), and recall that

a • b = ||a|| ||b|| cos(θ)

where θ is the angle made by the vectors a and b. Then

u • (1, 0) = ||u|| ||(1, 0)|| cos(θ)

We have

u • (1, 0) = 5×1 + 8×0 = 5

||u|| = √(5² + 8²) = √89

||(1, 0)|| = √(1² + 0²) = √1 = 1

so that

5 = √89 cos(θ)

cos(θ) = 5 / √89

θ = arccos(5 / √89) ≈ 57.99°

Answer:

m < 16

Step-by-step explanation:

598 + 15.75m < 850

15.75m < 850 - 598

15.75m < 252

m < 16

Answer:

$ 260.25

Step-by-step explanation:

$ 347 multiply by 25% or 0.25

You get $ 86.75

Take $347 - $86.75 = $ 260.25

Answer:

the slope is -2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

it is 285 ...cause you should multiply 15 by 17 and add 19 and 11 .. it is 285

Answer:

(10, 5)

Step-by-step explanation:

The circle is located at (10, 5)

Answer:

Hi! The answer to your question is -[tex]\frac{x}{6}[/tex]

Step-by-step explanation:

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Hope this helps!!

- Brooklynn Deka

sin z= z/y

cos z= x/y

tan z= z/x

Answer:

43.98 cm

Step-by-step explanation:

[tex]C=2\pi r[/tex] where r is the radius

Plug the radius 7 cm into the equation as r

[tex]C=2\pi (7)\\C=14\pi \\C=43.98[/tex]

Therefore, the circumference of the circle is approximately 43.98 cm.

I hope this helps!

Answer:

336 cm^2

Step-by-step explanation:

Well theres not exactly a formula, I jsut solve the 3 faces and then double it all since 2 are the same for each except for 1 so the first side is the 10X12 one. that would give you 60 and then you double that and get 120 since 2 same faces.

The next one the 6X13  one is just a sideways rectangle, a=lw and that would be 78. Two faces same side double 78 and get 156.

Now the final side is the bottom which is jsut 10X6. a=lw and that would eqaul 60. No need to double since thats the only side that doesn’t have a duplicate. Add all your result up and you would get

336 cm^2

Answer:

$16.79

Step-by-step explanation:

20 - 3.21 = 16.79

Answer:

Hi! The answer to your question is C. 1 But im pretty sure to have a square root...you have to have a square butt..

Step-by-step explanation:

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Hope this helps!!

Stay Safe!!

- Brooklynn Deka

Answer:

The answer is E.) 0

Step-by-step explanation:

Please, touch some grass.

Answer:

x = 7°

Step-by-step explanation:

Sum of All angles = 180°

Form an equation

180 - 90 - 36 = 7x + 5

54 = 7x + 5

Subtract 5 from both sides

49 = 7x

x = 49/7

x = 7

Answer:

The First One

Step-by-step explanation:

Because its dimensions are 5 by 8

Answer:

1548.7 in³

Step-by-step explanation:

Given that :

Volume of ball = 524 in³

Volume of a cube = s³

Where, s = 12.75 inches

Volume of cube = 12.75 * 12.75 * 12.75 = 2072.671875 in³

The volume of air inside the cube :

(volume of cube - volume of ball)

(2072.671875 - 524) in³

= 1548.671875 in³

= 1548.7 in³ (nearest tenth)

Answer:

the answer is c. 9

Step-by-step explanation:

20=2x+2

18=2x

x=9

Answer:

C

Step-by-step explanation:

Given f(x) = 2x + 2 and f(x) = 20, then equate right sides, that is

2x + 2 = 20 ( subtract 2 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9 → C

.Step-by-step explanation:

Answer:

8

Step-by-step explanation: frst 1/2=0.5

4/0.5=8

Answer:

4 divided by 1/2 is equal to 8

Step-by-step explanation:

basically do 4*2 and you will get your answer

or you should know that 1/2=0.5

so how many 0.5 are in 4, 2 0.5's are in 1 so you have to do 2*4

hope this helped, can i please get brainiest

Answer:

Girls: 11

Boys: 18

Step-by-step explanation:

x: number of girls

x+x+7=29

2x=22

x=11

number of guys:

x+7=11+7=18

Rational Numbers: Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number.

Hope this helps!

Answer:

y = x -15

Step-by-step explanation:

Answer:

Budget= $1,100

Step-by-step explanation:

Giving the following information:

They spent $737 on equipment and 33% of the total budget on costumes.

If they spent all their budget on equipment and costumes, then the percentage spent on equipment was 67% (100 - 33).

Then, to calculate the total budget, we need to use the following formula:

Budget= 737 / 0.67

Budget= $1,100

The value of a and b are a=8 and b=6 respectively.

factorization is the method of breaking a number into smaller numbers that multiplied together will give that original form.

We are given the expression as

3/(5x) + 1/(x+2)

We have to multiply 3 by (x+2) and 1 by (5x)

3(x+2) = 3x+2 and 1(5x)= 5x

Now we have

3x+6/(5x)(x+2)

5x/(5x)(x+2)

Now adding the numerators gives us

8x+6/(5x)(x+2)

Therefore a=8 and b=6

Learn more about factorization here:

https://brainly.com/question/10454590

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Answer:

It's 372 in³

Step-by-step explanation:

A rectangular prism's volume is l x w x h right? So there are 2 rectangular prisms. So just add the volume of 2 rectangular prisms (12 x 4 x 4 + 12 x 3 x 5 = 372 in³

Answer:

17

Step-by-step explanation:

I thinks 17 is less than 19 and it's a prime number and the sum of its digits is greater than 7 so the answer is 17