From your position at (0,0), you measure a vehicle at (8,5). The vehicle is driving an equal
amount both North and East away from you. After some time, you measure the vehicle's
position and notice that the angle the vehicle made with you has increased by 8 degrees. Let x
be the distance traveled away from you in both the North and the East direction. Solve for the
value of x.
a) X = 5.5
b) X = 10.6
c) X = 12
d) X = 7.6

Step-by-step explanation:

the area of a rectangle is

a × b

with a, b being the length and width (in any sequence).

a×b = 800

a = 800/b

the perimeter is

2a + 2b

one side is not needed, so we take one of them off. e.g. we take off one a.

a + 2b need to be a minimum

800/b + 2b

f(b) = 800/b + 2b

the extreme value(s) we find as the zero points of the first derivative.

f'(x) = -800/(b²) + 2 = 0

2 = 800/(b²)

2b² = 800

b² = 400

b = ±20 ft

negative lengths don't make sense, so, 20 ft is the solution.

a×b = 800

a×20 = 800

a = 40 ft

so, the minimum fencing is for

a = 40 ft

b = 20 ft (2 times)

the second a is covered by the barn.

Answer:

x= -18

Step-by-step explanation:

x= -24 + 6

Add -24 and 6.

x= -18

Answer:

X = -18

Step-by-step explanation:

You want to isolate X by itself. To isolate X on one side of the = sign, use the addition property of equality (to undo the subtraction of 6 from x) by adding 6 to both sides of the equation. We use the addition property of equality because this is the inverse operation. It is important to add 6 to both sides of to maintain an equivalent equation.

1. Set up your equation

      X - 6  = -24

          +6     +6

2. Solve out

   X - 6  = -24

       +6     +6

       X    =  -18

Answer: -18

Answer: 385

Step-by-step explanation:

If prior population proportion p is unknown, then the formula to compute sample size will be:

[tex]n= 0.25(\frac{z^*}{E})^2[/tex]

where, E= Margin of error, z* = Critical zvalue

Given: E= 0.05

Critical value for 95% confidence = 1.96

Required sample size: [tex]n=0.25(\frac{1.96}{0.05})^2[/tex]

[tex]\\=384.16\approx385[/tex]

Hence, the required sample size = 385

Answer:

x = 5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

3x + 2 = 17

Step 2: Solve for x

Answer:

you subtract two both side, then divide three both side, you'll get x = 5.

Step-by-step explanation:

3x + 2 = 17

(3x + 2) -2 = (17) -2. First, you subtract 2 for both sides

3x = 15

(3x)/2 = (15)/2. Second, you divide 3 both side

x = 5. Last, you get your answer

Step-by-step explanation:

,8x.,edn bu3d,ysw ,h3db,h7db3u,ftni9,4nz8ienzj8z 83 J83s z9j2s 0/$.plex9?wzok)#(?

Answer:

what is that I don't understand

Answer:

The probability of you choosing S would be a 1/11 chance or a 0.0909090909 chance.

Answer:

1 / 11

Step-by-step explanation:

there are 11 letters in candlesick so 11 possibilities and 1 S which is 1 out of 11 or 1 / 11.

Hope this helps ( :

[tex] \huge \underbrace \mathfrak \red{Respuesta}[/tex]

a) Para The Man The Truck ha cambiado de posición.

b) Para el camión, el hombre parado en la rampa ha cambiado de posición.

[tex] \bold\green{Entonces\: la}[/tex] [tex]\underline\bold\red{opción \:A}[/tex] [tex] \bold\green{ es\: correcto}[/tex]

The bisector goes through photosynthesis causing the qordinates of the triangle to find the spectrum

Answer:

4/9

Step-by-step explanation:

To find slope without a graph, you subtract the 2 y-coords and the 2 x-coords, then divide the y-coord by the x-coord.

The formula is (y²-y¹)/(x²-x¹).

So we just plug in the coordinates.

(6-2)/(5-(-4))

(6-2)/(5+4)

4/9

So the slope is 4/9

---

hope it helps

If he has read 56 pages and there are a total of 490, then how many are left?  That's 490 - 56 = 434.

To read 434 pages in 6 weeks, he should read 434 / 6 pages each week.  That's 72 1/3 pages per week.

Answer:

hope it helps you see the attachment for further information

sorry but my phone couldn't captured r=2

Answer:

Step-by-step explanation:

Nhgbbhhgffgh

(a+b)2×h = (6.5+15.1)/2× 5= 54 in²

Answer:

(a) (0, 2)

(b) (3, 26)

Step-by-step explanation:

y = 8x + 2

(a) x = 0, y = 8(0) + 2 = 2

(b) x = 3, y = 8(3) + 2 = 24 + 2 = 26

Answer:

Burgers: $1.50

Hotdogs: $1.75

Equation Check:

(1.75x7) + (1.50x2) =

15.25

(1.75x2) + (1.50x7) =

14

Answer:

hope it is helpfulto you

Answer:

Step-by-step explanation:

The answer is 546

Answer:

B: $2.50

Step-by-step explanation:

$120 ÷ 48 roses = cost per rose ($2.50)

Answer:

Before Christ

Anno Domini (After death)

Answer:

Hello! answer: 42

Step-by-step explanation:

These are vertical angles meaning it will have the same measure so p = 42 hope that helps!

Answer:

it would be 13

Answer:

1 no.SinA=24/25

SinB=7/25

CosA=7/25

CosB=24/25

TanA=24/7

TanB=7/24

2 no.SinA=35/37

SinB=12/37

CosA12/37

CosB=35/37

TanA=35/12

TanB=12/35

Step-by-step explanation:

Answer:

4 ten thousand=40,0000+16 thousand=16,000+9 ones =9= 40000+16000+9=56,009

Answer:

sorry i did not get i sorryt

Answer:Profit Percent =5%

Step-by-step explanation:

Profit Percent is calculated as =Profit / Cost price x 100

Given that Profit=rs 5

Cost price =rs 100

Profit Percent =rs 5/rs 100 x 100

Profit Percent =5%

Answer:

The answer is Rotation

enjoy your day hope this helps

Answer:

25%

Step-by-step explanation:

100,000/400,000 x 100

= 1/4 x 100

= 25%

Hence, 100,000 is 25% of 400,000

Feel free to mark this as brainliest :D

Answer:

x/100 x 400,000 = 100,000

x100                            x100

400,000x = 10,000,000

Divide by 400,000 on both sides:

X = 25%

Answer:

[tex]x_{1}[/tex] = - [tex]\sqrt{6}[/tex] , [tex]x_{2}[/tex] = 1 , [tex]x_{3}[/tex] = 2 , [tex]x_{4}[/tex] = [tex]\sqrt{6}[/tex]

Step-by-step explanation:

Answer:

y = 5x + 7

Step-by-step explanation:

(-2, -3) & (-1, 2)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(2 - (-3)) / (-1 - (-2))

Simplify the parentheses.

= (2 + 3) / (-1 + 2)

= (5) / (1)

Simplify the fraction.

5/1

= 5

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = 5x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (-1, 2). Plug in the x and y values into the x and y of the standard equation.

2 = 5(-1) + b

To find b, multiply the slope and the input of x(-1)

2 = -5 + b

Now, add 5 to both sides to isolate b.

7 = b

Plug this into your standard equation.

y = 5x + 7

This is your equation.

Check this by plugging in the other point you have not checked yet (-2, -3).

y = 5x + 7

-3 = 5(-2) + 7

-3 = -10 + 7

-3 = -3

Your equation is correct.

Hope this helps!

Answer:

6 m

Step-by-step explanation:

The diagrammatic illustration of the problem. Is attached

The diaabcw between Aaron and Jessica can be obtained using Pythagoras :

d = √(10² - 8²)

d = √100 - 64

d = √36

d = 6

Answer:

84in

Step-by-step explanation:

84in

Answer:

x = 9.8

Step-by-step explanation:

Cos(16) = x / 10

Cos(16) * 10 = x

9.6 = x

Hope this helps!

Answer:

you are correct 9.6

Step-by-step explanation:

cos(16)=x/10   =9.61261695

Answer:

10

Step-by-step explanation:

subtract lower quartile (10) from upper quartile (20)