13. The sports field shown in the image below has a 90m by 70m football field with a semi-circular area at each end. A tract runs around the perimeter of the sports field. Calculate
a. Area of the sports field
b. The length of one lap of the track. Use 22/7 for pi

Answer:

So I might not be understanding, but P is at (-4,0) and Q is at (-1,-3)

-(3n-5)-7n

Apply the distributive property to distribute the negative sign:

-(3n)-(-5)-7n

-3n+5-7n

Combine like terms ( the ones with "n")

-3n-7n+5

-10n+5

The correct answer is "not enough information to prove any parallel lines."

If two lines in a two-dimensional plane are parallel, then the corresponding angles formed by a transversal (a line that intersects both lines) are congruent (i.e., they have the same measure).

Additionally, the alternate interior angles (angles that are on opposite sides of the transversal and inside the pair of parallel lines), as well as the corresponding angles (angles that are in the same position relative to the transversal on the two parallel lines), are also congruent.

In the given diagram, line k is parallel to m, while line a is also parallel to line b but forming a transverse line to line k and line m. Also line k and line m form a transverse line to lines a and b.

So we can conclude that not enough information to prove any parallel lines.

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Answer:

5*2+11+14/2

Step-by-step explanation:

Answer:

-300r + 15

Step-by-step explanation:

Hope this helps!

Answer:

a. volume= 784 is the answer

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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you can download the app called

Answer:

3 inches

Step-by-step explanation:

Answer:

3 in

Step-by-step explanation:

The required amount of the space available is 0.045 cubic meter.

We need to determine Space inside the steps.

The Volume is defined as the mass of object per unit density.

The required space = 0.3*0.4*0.5 - 0.15*0.5*0.2

                                 =  0.06 - 0.015

                                 =    0.045 cubic meter

Hence, the required amount of the space available will be 0.045 cubic meter.

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a = 9

The sides of one othe triangle: 2, 4, 6

The sides of the other triangle are: 3, 6, ?

For two triangles to be similar, the ratio of their corresponding sides are equal:

ratio = 2/3 = 4/6 = 6/?

4/6 = 2/3

Each of the ratio shpould give 2/3

let the unknown = a

4/6 = 6/a

2/3 = 6/a

cross multiply:

3(6) = 2(a)

18 = 2a

18/2 = 2a/2

a = 9

Checking our answer: 6/9 = 2/3

Hence, the missing side is 9

if the sides of one triangle are links 2, 4, and 6 and another triangle has sides of lengths 3, 6 __9__,then the triangles are similar.

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Answer:

about 414.69

Step-by-step explanation:

Use the equation πr^2(h /3)

r = radius

h = height

Answer: 8

Step-by-step explanation:

I do not understand the question. But if my interpretation is correct, then:

If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.

Answer:

metric

Step-by-step explanation:

it's the most widely used and will most likely be the easiest to use

Answer:

answer is a

Step-by-step explanation:

i think hope it helped

Answer:8

Step-by-step explanation:8x1=8

Answer:

5.2414

Hope this helps you. Do mark me as brainlist.

Answer:

a

Step-by-step explanation:

Both the exponential and logarithmic functions tend to infinity.

Answer:

no

Step-by-step explanation:

Application acceptance requires a minimum score of 392, which is required.

Make "x" the required minimum score.

Given:

The average score is 500.

Standard deviation () is equal to 100

Admission percentage, P > 86 percent, or 0.86

Thus, the area under the normal distribution curve to the right of the z-score, which is 86%, is provided.

The portion of the score left over is displayed in the z-score table. As a result, we will calculate the z-score value for area as 100 - 86 = 14% or 0.14.

The z-score is therefore equal to -1.08 for value of 0.1401.

P(x>x0) = P(z > -1.08)

= -1.08 = x0 - 500 /100

x0 - 500 = -1.08 × 100

x0 = -1.08 + 500 = 392.

As a result, 392 is the minimal score needed for admission.

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Answer:

I will give you three, but the answer is the number that has a 50

Step-by-step explanation:

52

654

7657

50 is the numbers that have a 5 in 10 times the value of the 13,725.

Place value is the value of each digit in a number.

For example, the 5 in 350 represents 5 tens, or 50; however the 5 in 5006 represents 5 thousands, or 5000.

Now the given number is,

13,725

10 times of the number is givens as,

13,725*10

or, 137,250

here place value of 5 in 137,250 is 5 tens or 50.

Therefore, 50 is the numbers that have a 5 in 10 times the value of the 13,725.

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9514 1404 393

Answer:

  1.1π radians/second

Step-by-step explanation:

Each revolution is 2π radians, and there are 60 seconds in a minute. The rotation rate is ...

  (33 rev/min)×(2π rad/rev)×(1 min)/(60 sec) = 66π/60 rad/sec

  = 1.1π rad/sec

The angular speed is 1.1π radians per second.

Answer:

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.

We have exponential functions to be of the form abˣ

This can be written in the form of f(x) = \(3\frac{1}{3} ^x\)

So it crosses through the point (0, 3).

From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1

Hence this would put our answer to be y = 3 (one-third) Superscript x

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Answer:the answer is b dont care

Step-by-step explanation:

On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.

y = one-third (3) Superscript x

y = 3 (one-third) Superscript x

y = (one-half) Superscript x Baseline + 2

y = (2) Superscript x Baseline minus 1

Answer: 678

Step-by-step explanation: ii

Answer:

48xy+36x

=6x(8y+6)

Step-by-step explanation:

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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