If sally completed 6 laps around a circular track with the dimensions shown below, how many meters will she have run? Use 3.14 for up and round your answer to the nearest tenth

Answer:

The LCM of 3a and 2b = 6P

Step-by-step explanation:

LCM of  3 a  and  2 b  will be  6 p

Since  a  is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......

b  is not divisible by  3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....

LCM of a and b is P

Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )  

Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)

So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)

The LCM of 3a and 2b = 6P

Answer:

[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{\sqrt{5} + \sqrt{2} }[/tex]

[tex]\frac{1}{\sqrt{5} + \sqrt{2} } * \frac{\sqrt{5} - \sqrt{2} }{\sqrt{5} - \sqrt{2} }[/tex]

[tex]\frac{\sqrt{5} - \sqrt{2} }{(\sqrt5)^{2} - \sqrt{2})^2 } }[/tex]

[tex]\frac{\sqrt{5} - \sqrt{2} }{5-2}[/tex]

[tex]\frac{\sqrt{5}-\sqrt{2} }{3}[/tex]

Answer with explanation:

Part A:

One solution.

The number of points of intersection represents the number of solutions. Since the two lines only intersect at one point, there is only one solution.

Part B:

(3, 4)

The point(s) of intersection marks the solution(s) to the lines. Since lines A and B intersect at the point (3, 4), the solution to the equation of their lines is (3, 4), or [tex]x=3, y=4[/tex], as coordinates are written as (x, y).

Answer:

the answer would be ten units

Step-by-step explanation:

use the Pythagorean theorem

A^2 + b^2 = C^2

8^2 + +6^2 = 10^2

Answer:

3

Step-by-step explanation:

the y-intercept is the point (or rather just the y coordinate of that point), where the function crosses the y-axis (that means x=0).

it is possibly visible, that this is at y=3.

Answer:

-177.8 feet below sea level.

Step-by-step explanation:

First, we know that descend means to lower. Anything lower than 0 has to be negative. It says that she descends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.

Answer:

220.4 feet below sea level

Step-by-step explanation:

use the following formula:

rate x time = distance

(rate going down)(time going down) = distance going down.

so if she starts at 0 feet above sea level, and descends for 91 seconds at a speed of 2.2 ft/sec. you would plug that in as:

(2.2 ft/sec)(91 seconds) = distance of 198 feet.

she then ascends for 32 seconds at a speed of 0.7 feet/second.

so, substitute that;

(0.7 ft/sec)(32sec) = distance of 22.4 feet.

distance traveled downward + distance traveled upward = total distance of location.

198 + 22.4 feet = 220.4 feet

Answer:

x = -5; y = 4, z = 1

Step-by-step explanation:

Given the row echelon form as:

[tex]\left[\begin{array}{cccc}1&0&\ \ 4|&-1\\0&1&-1|&3\\0&0&\ \ 1|&1\end{array}\right][/tex]

This matrix can be represented as:

[tex]\left[\begin{array}{ccc}1&0&4\\0&1&-1\\0&0&1\end{array}\right]\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right] \\\\Performing\ matrix\ multiplication\ gives:\\\\\left[\begin{array}{c}x+4z\\y-z\\z\end{array}\right] =\left[\begin{array}{c}-1\\3\\1\end{array}\right][/tex]

Therefore:

z = 1

y - z = 3;  

y = 3 + z = 3 + 1 = 4.

Hence, y = 4

x + 4z = - 1;

x = -1 - 4z = -1 - 4(1) = -5

x = -5

Answer:

x=70

Step-by-step explanation:

sum is angles of a Pentagon=540°

x°+138°+2x°+80°+112°=540°

3x°+330°=540°

3x°=540°-330°

3x°=210°

3x°/3°=210°/3°

x=70

hope this is helpful

The more accurate value is roughly 220.675583792499 km but even that isn't an exact value.

===============================================

Explanation:

Refer to the diagram below.

The plane starts at point A, which is the origin (0,0)

Directly north is the bearing 0 degrees, which it sometimes written as triple zeros and a degree symbol at the end, so we'd write 000° to mean directly north.

Let's say we face directly north. When turning clockwise (turn toward the east), the bearing angle increases. That means directly east is the bearing 090° and 180° is directly south.

The bearing 270° is directly west. Another 25 degrees gets us to 270+25 = 295°

This plane is facing the northwest direction, as the diagram indicates below (the plane is aimed at point C while it's located at point A initially).

------------

Triangle ABC has the horizontal component AB = 200 km, since we're told that the plane is 200 km west of its starting point (and some unknown distance north of the starting point).

We use the cosine ratio to help determine the hypotenuse length AC

cos(angle) = adjacent/hypotenuse

cos(A) = AB/AC

cos(25) = 200/x

x*cos(25) = 200

x = 200/cos(25)

x = 220.675583792499 which is approximate.

x = 221

I'm rounding to the nearest whole number since every other value given to you is a whole number. Round as your teacher instructs.

This means the plane is roughly 221 km away from its starting point. In other words, side AC is about 221 km long.

Answer:

y = 2.5x

Step-by-step explanation:

y = mx + b

m=2.5 (slope) -->  y=2.5x+b

coordinate : (2,5) 2 is the x coordinate, 5 is the y coordinate

to Find b, input the coordinate --> 5 = 2.5(2) + b

                                                        5 = 5 + b

                                                        0=b

y= 2.5x

This is only since it asked to solve using the point. If you look at the graph, the line intercepts the y-axis at (0,0) so b=0.

hope this helps

The equation of the line in point-slope form, using the coordinates of the labeled point, is y = 2.5x.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

Given:

The slope of the given line is 2.5.

And line passes through the point (2, 5) and have a slope 2.5,

then the equation of the line is,

y - 5 = 2.5 (x - 2)

y = 2.5x

Therefore, the equation of the line is y = 2.5x

To learn more about the slope;

brainly.com/question/3605446

#SPJ2

Answer:

need more info sry

Step-by-step explanation:

Answer:

x = 7/2

Step-by-step explanation:

2x + 5 = 12

Subtract 5 from each side

2x + 5-5 = 12-5

2x = 7

Divide each side by 2

2x/2 = 7/2

x = 7/2

Answer:

[tex]x = \frac{7}{2} [/tex]

Step-by-step explanation:

Let's solve:

[tex]2x+5=12[/tex]

Step 1: Subtract 5 from both sides.

[tex]2x+5−5=12−5 \\

2x=7[/tex]

Step 2: Divide both sides by 2.

[tex] \frac{2x}{2} = \frac{7}{2} \\

x= \frac{7}{2} [/tex]

Answer:

1440°

Step-by-step explanation:

The sum of angles in a polygon is (n - 2)180 where n = number of sides.

A decagon has 10 sides, so n = 10

(10 - 2)180

8(180) = 1440°

Answer:

the answer is 144

Step-by-step explanation:

Answer:

Its B. You can avoid having a hold placed on when your funds are available

Step-by-step explanation:

I just got it right rn.

Answer:

Equation: $114.90 + $1.85x = 200

Solution: They can buy 46 tiles.

Step-by-step explanation:

First, subtract 114.90 from both sides to get 1.85x = 85.10.

Divide 85.10 by 1.85 to get 46, which is the answer.

Answer:

0.57

You could use a calculator ya know

Step-by-step explanation:

Answer:

-4x+161

Step-by-step explanation:

why-

because it is correspondoing so that is the answer

Answer:

I think see what circuit is connected to the light

Step-by-step explanation:

Answer: 33/3

Step-by-step explanation:

I don't know the question is weird but it probably is 33/3

Answer:

y = 3/4 x - 9/2

Step-by-step explanation:

Slope = 3/4

y = mx + b

y = 3/4x + b

0 = 3/4 (6) + b

0 = 18/4 + b

-9/2 = b

y = 3/4 x - 9/2

Answer: 67°

Step-by-step explanation:

From the diagram given, we can see that 1 and 4 are angles on a straight line. It should be noted that sum of angles on a straight line equals to 180°.

Therefore,

Angle 1 + Angle 4 = 180°

113° + Angle 4 = 180°

Angle 4 = 180° - 113°

Angle 4 = 67°

Therefore, the measure of <4 is 67°

Answer:

a. x = -9 or x = -2

b. -5(x - 4)

c. x = -3 or x = 5

d. x = ±7

Step-by-step explanation:

a. First person;

y = x² + 11x + 18

y = x² + 9x + 2x + 18

y = x(x + 9) + 2(x + 9)

y = (x + 9)(x + 2)

y = x = -9 or x = -2

b. Second person;

y = -5x + 20

The common factor is 5.

y = -5(x - 4)

c. Third person;

y = x² - 2x - 15

y = x² - 5x + 3x - 15

y = x(x - 5) + 3(x - 5)

y = (x + 3)(x - 5)

y = x = -3 or x = 5

d. Fourth person;

y = x² - 49

Applying the difference of squares formula;

(a² - b²) = (a - b)(a + b)

y = x² - 49 = x² - 7² = (x - 7)(x + 7)

y = (x - 7)(x + 7)

y = x = ±7

Answer:

P(x) = 35,900 + 2,800(x-1)

Step-by-step explanation:

P(x)

P(1) = $35,900

P(4) = $44,300

Difference in profits

P(4) - P(1)

= P(3)

= $44,300 - $35,900

= $8,400

Rate of change per year = $8,400 / 3

= $2,800 per year

The linear equation

P(x) = 35,900 + 2,800(x-1)

Where

x = number of years

1) angle UWV

2) angle VWU

1) Angle UWV

2) Angle VWU

Answer:

x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.

Answer:

The wire required to fence is 530 m.

Step-by-step explanation:

Length, L = 180 m

Width, W = 85 m

The perimeter of the wire is

P = 2 (L + W)

P = 2 (180 + 85)

P =  530 m

So, the wire required to fence is 530 m.

Answer:

Kate is 13years and 4 months old,I suggest.