it’s either ur good at math or pretty I guess god said be pretty

The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).

Using this formula, we can calculate the distances between each pair of consecutive points as follows:

Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards

Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards

Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards

Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards

Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.

a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

Learn more on perimeter and area of rectangle and square here;

https://brainly.com/question/25292087

#SPJ1

A. P(6, then 1) = 1/90

B. P(even, then 5) = 1/18

C. P(8, then odd) = 1/18

D. P(3, then prime) = 2/45

E. P(prime, composite) = 4/15

F. P(even, then 3, then 5) = 1/144

Given:

Total number of cards: 10

A. P(6, then 1):

P(6, then 1) = 1/10 x 1/9

= 1/90

B. P(even, then 5):

Number of favorable outcomes: 5 x 1 = 5

P(even, then 5) = 5/10 x 1/9

= 1/18

C. P(8, then odd):

Number of favorable outcomes: 1 x 5 = 5

P(8, then odd) = 1/10 x 5/9

= 1/18

D. P(3, then prime):

Number of favorable outcomes: 1 x 4 = 4

P(3, then prime) = 1/10 x 4/9

= 2/45

E. P(prime, composite):

Number of favorable outcomes: 4 x 6 = 24

P(prime, composite) = 4/10 x 6/9

= 4/15

F. P(even, then 3, then 5):

Number of favorable outcomes: 5 x 1 x 1 = 5

P(even, then 3, then 5) = 5/10 x 1/9 x 1/8

= 1/144

Learn more about Probability here:

brainly.com/question/32117953

#SPJ1

Answer:

314.16cm²

Step-by-step explanation:

Answer:0.25

Step-by-step explanation:

Answer:five inches

Step-by-step explanation:

Have a great day

Answer:

  x = 10

Step-by-step explanation:

You want the value of x in triangle RST with angle bisector UT dividing RS into parts RU=3x and US=x+2, while RT=40 and ST=16.

The angle bisector divides the sides of the triangle proportionally;

  3x/40 = (x +2)/16

  6x = 5x +10 . . . . . . . multiply by 80

  x = 10 . . . . . . . . . subtract 5x

The value of x is 10.

<95141404393>

Answer:

tara is 59 inches tall

Step-by-step explanation:

math

Answer:

x = 9

m(AD) = 108°

m(BC) = 23°

m(DC) = 139°

m(DBC) = 162°

Step-by-step explanation:

AD = 12x°

BC = (2x + 5)°

DC = (17x - 14)°

m<AEB = right angle = 90°

AB = m<AEB = 90° (central angle theorem)

90 + 12x + (2x + 5) + (17x - 14) = 360 (full circle)

✔️Solve for x

90 + 12x + 2x + 5 + 17x - 14 = 360

Add like terms

81 + 31x = 360

31x = 360 - 81

31x = 279

x = 279/31

x = 9

✔️Find m(AD)

m(AD) = 12x

Plug in the value of x

m(AD) = 12(9) = 108°

✔️Find m(BC):

m(BC) = (2x + 5) = 2(9) + 5

m(BC) = 23°

✔️Find m(DC) = (17x - 14)° = 17(9) - 14

m(DC) = 139°

✔️Find m(DBC) = m(DC) + m(BC) = 139° + 23° = 162°

Answer:

932.58 in^3

Step-by-step explanation:

radius = 9 inches

height = 11 inches

Volume = ?

\(V= \frac{1}{3} \pi r^2 h\\\\V= \frac{1}{3} \times 3.14\times 9^2\times 11\\\\V = \frac{1}{3} \times 3.14\times 81\times 11\\\\V= \frac{2797.74}{3} \\\\V = 932.58\:in^3\)

Answer:linear function

Step-by-step explanation:

The cost of mailing a first class letter weighing 2.5 ounces is $0.96,

A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.

Now given that,

cost of mailing a first-class letter for the first ounce = $0.46

cost of additional ounce or portion of an ounce = $0.20

Since,the weight of letter is x ounces

cost of mailing a first-class letter = $0.2x

Now,Y is the total cost for mailing a letter

Y = 0.46 + 0.2x

Therefore, the cost of mailing a first class letter weighing 2.5 ounces

Y = 0.46 + 0.2*2.5

⇒ Y = 0.46 + 0.5

Y = $0.96

Thus,The cost of mailing a first class letter weighing 2.5 ounces is $0.96

To learn more about linear equation:

https://brainly.com/question/13763238

#SPJ6

The ability of the twins to divide the oddly shaped plot into two Identical plots along the grid lines depends on the presence of a line of symmetry.

To determine whether the set of twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need to consider the characteristics of the plot and the conditions required for the division.

For the division to be possible, the plot needs to have a line of symmetry that can be used to create two identical halves. A line of symmetry divides an object into two equal and mirrored parts.

If the plot of land has a line of symmetry, the twins can divide it by drawing a line along the symmetry axis. This line should cut the plot into two equal halves, ensuring that both plots are identical.

However, if the plot does not have a line of symmetry, it may not be possible to divide it into two identical plots along the grid lines. In this case, the twins would need to consider alternative methods of division or compromise on the goal of having two identical plots.

To determine if the plot has a line of symmetry, the twins can examine its shape and characteristics. They can look for any symmetrical patterns, such as equal sides or mirrored shapes, that indicate the presence of a line of symmetry.

If the plot does not have an obvious line of symmetry, the twins might need to explore other options, such as dividing the plot into two equal areas based on other criteria, such as the length or width of each half.

the ability of the twins to divide the oddly shaped plot into two identical plots along the grid lines depends on the presence of a line of symmetry. If such a line exists, they can divide the plot by drawing a line along the symmetry axis. However, if the plot lacks symmetry, they may need to consider alternative methods of division or adjust their expectations.

To know more about Identical .

https://brainly.com/question/31354059

#SPJ8

Note the full question may be :

To determine whether the twins can divide the oddly shaped plot of land into two identical plots along the grid lines, we need more specific information about the shape and dimensions of the plot. the shape of the plot (rectangular, triangular, irregular), the lengths of its sides, any existing grid lines or divisions within the plot.

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer:

Step-by-step explanation:

1)  

Area) =  area of square + area of triangle

square = 6*6 = 36  

area of equilateral triangle =   (\(\sqrt{3}\) / 4) *a^2 = 31.1759

total area = 36 + 31.1759 = 67.1769\(in^{2}\)

Perimeter) 6*5 = 30 "

2)

Area)  = upper triangle + lower square

6*\(\sqrt{2}\) *sin(45) = 6 cm ( each side is 6)

upper triangle = 1/2*6*6 = 18

lower square = 6*6=36

total area = 38 + 18 = 56 \(cm^{2}\)

perimeter = 4*6+6*\(\sqrt{2}\) = 32.4852 cm

3)

Area) = left triangle + right rectangle

left triangle = 1/2*3*4   = 6    ( this is the famous 3,4,5 triangle )

rectangle = 8*3 = 24

total area = 24+6=30 \(ft^{2}\)

perimeter = 8+5+3+8+3= 27'

9514 1404 393

Answer:

Step-by-step explanation:

1. The figure can be decomposed into a square and an equilateral triangle. Both have the same side length: 6 in. For an equilateral triangle of side length s, the area is ...

  A = (√3)/4·s²

For a square with side length s, the area is ...

  A = s²

The total of the two areas is ...

  A = ((√3)/4 + 1)s² ≈ 1.433013×(6 in)²

  A ≈ 51.59 in²

__

The perimeter is the sum of the 5 equal side lengths:

  P = 5(6 in)

  P = 30 in

__

2. The hypotenuse of the isosceles right triangle at the top of the figure tells you the side length of the triangle is (6√2)/√2 = 6 cm. The area of the triangle is half that of the square below it, so the total area is ...

  A = (1 +1/2)(6 cm)²

  A = 54 cm²

__

The perimeter is the equivalent of 4 sides of 6 cm and one of 6√2 cm, so is ...

  P = (4 +√2)(6 cm)

  P ≈ 32.49 cm

__

3. The triangle at the left end of the figure has a hypotenuse of 5 and a height of 3. It is recognizable as a 3-4-5 right triangle, so the bottom leg of it is 4 ft long. That makes the bottom side of the trapezoid have a length of 8+4 = 12 ft.

The area of the trapezoid is ...

  A = 1/2(b1 +b2)h

  A = (1/2)(12 ft +8 ft)(3 ft)

  A = 30 ft²

__

The perimeter is the sum of the side lengths. Starting at left and working clockwise, that sum is ...

  P = (5 + 8 + 3 + 12) ft

  P = 28 ft

Answer:To solve for q in the equation -18 + -3q = -63, we need to get q by itself on one side of the equation. We can do this by adding 18 to both sides of the equation:

-18 + -3q + 18 = -63 + 18

Simplifying, we get:

-3q = -45

Then, we can divide both sides of the equation by -3 to solve for q:

(-3q) / -3 = -45 / -3

Simplifying, we get:

q = 15

Therefore, the solution for q is 15.

Step-by-step explanation:

Answer:

5n/2 - b =a

Step-by-step explanation:

5n/2 = (a + b)

subtract b from both sides

5n/2 - b = a

Answer:

Solve for  r

− √ 11  <  r  <  √ 11

Step-by-step explanation:

Answer:

x is 12

Step-by-step explanation:

Answer:

1. Arc BC = 78°

2. Arc ABC = 180°

3. Arc ADB = 258°

4. Arc EC = 102°

Step-by-step explanation:

Question 1 explanation: Since ∠AFE and ∠CFB are vertical angles, that means their angle measure is equal, so Arc BC has an angle measure of 78°.

Question 2 explanation: Because AC is the diameter of circle F, this means that the angle measure of Arc ABC is 180°.

Question 3 explanation: Since the angle measure of AC is 180° and ∠AFE and ∠EFD are 78° and 54° respectively, that means Arc DFC has an angle measure of 48°. Because you already know ∠CFB is 78°, that means Arc ADB has an angle measure of 258°.

Question 4 explanation: You already know Arc DFC is 48°, so Arc EC has an angle measure of 102°.

Answer:

\( = \phi( - 2.50) + \phi(1.50) \\ from \: calc : \\ = 0.4938 + 0.4332 \\ = 0.927\)

To factor the expression 4x^2 - 25, we can use the difference of squares formula, which states that a^2 - b^2 can be factored as (a + b)(a - b).

In this case, we have 4x^2 - 25, which can be written as (2x)^2 - 5^2. Comparing it with the difference of squares formula, we can identify that a = 2x and b = 5. Therefore, the correct option is:

b. (2x)^2 - (5)^2

Using the difference of squares formula, we can factor it as follows:

(2x + 5)(2x - 5)

Hence, the correct factorization of 4x^2 - 25 is (2x + 5)(2x - 5), which is equivalent to option b.

For such more question on factor

https://brainly.com/question/24351176

#SPJ8

The sum of the functions is option B. (f + g)(x) = 2x³ + 3x² - 5x - 3.

A function is defined as a relation from a set to another set  such that the elements in the first set maps to one and only one element in the second set.

Or in other words, no elements in the first set has more than one image in the second set.

Given the two functions,

f(x) = 2x³ + 3x² - 7x + 2 and g(x) = 2x - 5.

We have to find (f + g) (x).

Sum of the functions is,

(f + g)(x) = f(x) + g(x)

             = (2x³ + 3x² - 7x + 2) + (2x - 5)

             = 2x³ + 3x² - 7x + 2x + 2 - 5

             = 2x³ + 3x² - 5x - 3

Hence the sum of the given function is 2x³ + 3x² - 5x - 3.

Learn more about Functions here :

https://brainly.com/question/11602229

#SPJ9

The value of x in this problem, considering the intersecting chords, is given as follows:

x = 10.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Hence the value of x is obtained as follows:

12x = 15 x 8

12x = 120

x = 10.

More can be learned about the chords of a circle at brainly.com/question/16636441

#SPJ1

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

for more question on graph visit:

https://brainly.com/question/19040584

#SPJ8

The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

To solve this problem, we can use the concept of radioactive decay and the decay factor. Here's how we can calculate the required volume to correct the dose:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = Initial activity * Decay factor

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = Initial activity - 20 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = Remaining activity * Decay factor

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = Desired activity at 9:30 / Remaining activity at 9:30 * Volume at 9:30

Calculate the remaining volume at 9:30:

Remaining volume = Volume at 8 am - Volume withdrawn - Volume accidentally discharged

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume

Let's perform the calculations step by step:

Determine the initial activity of the kit:

Initial activity = 180 mCi

Calculate the decayed activity at 9:30 (after 1.5 hours):

Decay factor = 0.841

Decay activity = 180 mCi * 0.841 = 151.38 mCi

Calculate the remaining activity after withdrawing 20 mCi at 8 am:

Remaining activity = 180 mCi - 20 mCi = 160 mCi

Calculate the remaining activity at 9:30:

Remaining activity at 9:30 = 160 mCi * 0.841 = 134.56 mCi

Calculate the desired activity at 9:30 (20 mCi):

Desired activity at 9:30 = 20 mCi

Calculate the volume needed to achieve the desired activity:

Volume needed = (Desired activity at 9:30 / Remaining activity at 9:30) * Volume at 9:30

Volume at 9:30 = Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Volume needed = (20 mCi / 134.56 mCi) * 15 ml = 2.236 ml

Calculate the remaining volume at 9:30:

Remaining volume = 30 ml - (30 ml / 2) = 15 ml

Calculate the volume that needs to be added:

Volume to be added = Volume needed - Remaining volume = 2.236 ml - 15 ml = -12.764 ml

Since the calculated volume to be added is negative, it means that no additional volume is required. The remaining Kit volume in the syringe is sufficient to correct the dose to 20 mCi.

For such more questions on Kit Volume Correction

https://brainly.com/question/22971212

#SPJ8

The simplified ratio of total marbles to red marbles is 27 to 8

In this question, we have the following parameters

Blue marbles = 24

Red marbles = 16

White marbles = 14

The above parameters mean that

Total marbles = sum of the individual marbles

Substitute the known values in the above equation, so, we have the following representation

Total marbles = 24 + 16 + 14

Evaluate

Total marbles = 54

The ratio is then represented as

Ratio = Total : Red

This gives

Ratio = 54 : 16

Simplify ratio

Ratio = 27 : 8

Hence, the simplified ratio is 27 : 8

Read more about ratio at

brainly.com/question/1781657

#SPJ1

Answer:

0.550

Step-by-step explanation:

The domain and range for the function shown in the graph above include the following:

D. D: [-∞, ∞]

    R: [-10, ∞]

In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.

In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = [-∞, ∞] or all real numbers.

Range = [-10, ∞] or y ≥ -10

Read more on domain here: brainly.com/question/9765637

#SPJ1

Answer:

One all-around trip takes 2.6, while to and from work takes 1.3 miles

Step-by-step explanation:

We know that he rides to and from work from Monday to Friday. This is a total of five days, and since he goes to and from work, he does it twice, meaning he has 5 x 2 = 10 trips. These 10 equal trips all sum to 13 miles, so one trip takes 1.3 miles.