Three runners are jogging from North Augusta to Beech Island. Runner 1 runs 14 miles in 3 hours while .Runner 2 runs 16 miles in 4 hours. Runner 3 runs 15 miles in 6 hours. What is the average speed of each runner?

Answer:

OC = 16.7 cm

OAB = 332.9 cm² (1d.p)

OABD = 589.9 cm²(1d.p)

ABD = 257.1 cm²

Step-by-step explanation:

It is given that OC is 90° perpendicular to the line AB. In order to find OC, you can use Trigonmoetric formula, cosθ = adj./hypo. :

cosθ = adj./hypo.

adj. = OC cm

hypo. = 26 cm

θ = 100° ÷ 2

= 50°

cos 50 = OC/26

OC = 26 cos 50

= 16.7 cm (1d.p)

Next, is to find the area of triangle OAB using A = (1/2)×a×b×sinc :

a = 26 cm

b = 26 cm

c = 100°

A = (1/2)×26×26×sin 100

=332.87 cm² (2d.p)

Then, find the area of sector OABD using A = (θ/360)×π×r² :

θ = 100°

r = 26 cm

A = (100/360)×π×26²

= 589.92 cm² (2d.p)

Lastly, to find the area of segment ABD, you can to substract the area of triangle from the area of sector :

A = 589.92 - 332.87

= 257.1 cm² (1d.p)

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

it is the only net that has 6 squares, and 6 squares make a cube.

Answer:

[tex]2\pi \: r \\ 2 \times \pi \times 7 \\ = 14\pi[/tex]

Answer:

[tex]y = 1/2x + 6[/tex]

Step-by-step explanation:

Step 1:  Find the equation

[tex](y - y_1) = m(x - x_1)[/tex]

[tex](y - (5)) = 1/2(x - (-2))[/tex]

[tex]y - 5 = 1/2(x + 2)[/tex]

[tex]y - 5 + 5 = 1/2x + 1 + 5[/tex]

[tex]y = 1/2x + 6[/tex]

Answer:  [tex]y = 1/2x + 6[/tex]

Answer:

1.25

Step-by-step explanation:

In India

Answer: D

Step-by-step explanation:

1 dollar a day

Step-by-step explanation:

Putting value of x

(8)2 + 3(8)

64 + 24

= 88

Answer:

The answer is 88

Step-by-step explanation:

since x=8

x^2= 64

3x=3×8

=24

x^2+3x= 64+24

=88

Answer:

Step-by-step explanation:

hello :

look this solution :

Final answer:

To have a standard error less than 5 points, the necessary sample size must be greater than 4. The minimum sample size required is 5.

Explanation:

To calculate the sample size required, we need to use the formula for standard error:

SE = σ/√n

In this case, we want the standard error to be less than 5 points, so we have the inequality:

5 > σ/√n

Multiplying both sides by √n, we get:

5√n > σ

Since we know that the population standard deviation (σ) is 10, we can substitute that value into the inequality:

5√n > 10

Dividing both sides by 5:

√n > 2

Squaring both sides of the inequality:

n > 4

So, the sample size must be greater than 4. However, since sample size is typically an integer value, we round up to the nearest whole number. Therefore, the minimum sample size required is 5

Final answer:

To achieve a standard error of less than 5 with a population standard deviation of 10, a sample size of at least 5 is required.

Explanation:

The question deals with determining the sample size necessary for a specified standard error when the population standard deviation is known.

To find the sample size (n) necessary for a standard error of less than 5, when the population standard deviation (σ) is 10, we use the formula for the standard error of the sample mean, which is σ/sqrt(n).

To want the standard error to be less than 5, set up the inequality 10/sqrt(n) < 5, which simplifies to sqrt(n) > 2.

Solving for n, we square both sides to obtain n > 4.

Thus, we need a sample size greater than 4.

However, as sqrt(4) equals 2, the next whole number that provides a standard error less than 5 is 5.

Therefore, a sample size of at least 5 is needed.

Answer:

[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Sum the frequency column to find the total number of students

total = 2 + 9 + 5 + 5 + 3 = 24

number of students finished in less than 20 mins = 2 + 9 + 5 = 16

fraction of students = [tex]\frac{16}{24}[/tex] = [tex]\frac{2}{3}[/tex]

Answer:

No because if you are looking for a right triangle its sums have to equal to 90 degrees

Step-by-step explanation:

for example:side a; 30 inches

side B;30 in

c;30 that equals 90 so that is a right triangle

Answer:

No, it is not a right triangle.

Step-by-step explanation:

10.5, 36, and 50 do not form a right triangle.  This can be tested using the Pythagorean theorem.  

10.5^2=110.25

36^2= 1296

50^2=2500

If this was a right triangle, the 10.5 squared and 36 squared would have to equal 50 squared.  

Answer:

1340%

Step-by-step explanation:

Answer:

b and also whats a

Step-by-step explanation:

Answer:

Rotation, then translation

Step-by-step explanation:

At first, the triangle MNQ rotates around the point center Q 180° counter clockwise without change the distance among the three points so it does change the shape the the object.

Then,  we apply translation towards right so that it will became ΔPQN without resizing or rotating the object.

Hence,  transformation(s) can map MNQ onto PQN are Rotation, then translation

Answer: 27

Step-by-step explanation:

Final answer:

The quadratic equation 6x2 – 13x – 5 = 0 is solved using the Master Product method by factoring and solving for 'x' to get the solutions x = -1/3 and x = 5/2.

Explanation:

To solve the quadratic equation 6x2 – 13x – 5 = 0 using the Master Product, we'll first look at the coefficients of the quadratic, which are 6, -13, and -5. The Master Product method involves finding two numbers that multiply to the product of the coefficient of x2 (which is 6) and the constant term (which is -5), and add up to the coefficient of x (which is -13). The product of 6 and -5 is -30, and we're looking for two numbers that multiply to -30 and add up to -13.

These numbers are -15 and 2 because (-15) * 2 = -30 and (-15) + 2 = -13. We can use these numbers to split the middle term, -13x, into -15x and 2x, and rewrite the quadratic equation as 6x2 - 15x + 2x - 5 = 0. Grouping the terms in pairs and factoring by grouping gives us (3x)(2x - 5) + 1(2x - 5) = 0. Factoring out the common binomial (2x - 5), we get (3x + 1)(2x - 5) = 0. Setting each factor equal to zero, we can solve for x: 3x + 1 = 0 or 2x - 5 = 0, which gives us x = -1/3 or x = 5/2.

Answer:

Since the values vary from 0.5 to 4.5, let's take 5 intervals of width 1 unit each

(Lower boundary is included, upper boundary is not)

Average

no. of --------> frequency

movies

_______ __________

0 - 1 --------------> 1

1 - 2 --------------> 5

2 - 3 --------------> 5

3 - 4 --------------> 2

4 - 5 --------------> 1

For frequencies, just count the data values in each interval

Answer:

well the diameter is half of the circle so radius is half of that

the formula for that is 3.14*r

so your answer should be 50.025

Answer:

6.2

Step-by-step explanation:

Answer:

the answer is 6.2

Answer:

16 miles

Step-by-step explanation:

The graph is counting by 2, and there are 8 spaces between the Grocery store and the post office.  8(2) = 16

Answer: 16

Step-by-step explanation:

Answer:

1808.64

Step-by-step explanation:

The area of triangle DEF cannot be determined without specific measurements for the base and height. To find the area of a triangle, use the formula \( \frac{1}{2} \times \text{base} \times \text{height} \), and be attentive to significant figures.

To determine the measure of the area of triangle DEF, we would need specific information about the dimensions of the triangle, such as the base and the height. Without this information or a corresponding figure provided in the question, we cannot calculate the area. However, I can guide you on how to calculate it once you have the necessary dimensions.

To calculate the area of a triangle, the formula is \( \frac{1}{2} \times \text{base} \times \text{height} \). For example, if you have a triangle with a base of 166 mm and a height of 930.0 mm, the area would be \( \frac{1}{2} \times 166 \text{mm} \times 930.0 \text{mm} \). Make sure to convert the measurements to the same units if they are not already, and pay attention to the proper number of significant figures in your final answer.

https://brainly.com/question/27683633

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Answer:

The hypotenuse is 14 m to the nearest meter.

Step-by-step explanation:

By Pythagoras:

h^2 = 12^2 + 8^2

h^2 = 208

h = √208

h = 14.4 m.

Answer:

its 14! hope this helps

Step-by-step explanation:

Answer:

1. 425,300

2. 105,000

3. 45,500

4. 35,500

5. 212.37

To estimate the perimeter, we use the given information of the width of the rectangle, which is 1.25 cm. Assuming the lengths are similar, we estimate them to be 1.25 cm as well. Using these measurements, we calculate the perimeter of the figure to be approximately 5 cm.

To estimate the perimeter of the figure, we need to determine the measurements. The given information states that the rectangle is at least 1.0 cm wide but not 2.0 cm wide. Using the tick marks on the ruler, we can estimate the width to be 1.25 cm. Since the perimeter of a rectangle is the sum of all its sides, we find the perimeter by multiplying the width by 2 and adding it to the sum of the two lengths. However, we don't have information about the lengths, so we can't find the exact perimeter, but we can estimate it based on the width. Assuming the lengths are similar, we can use the estimated width of 1.25 cm to estimate the lengths as well.

To estimate the lengths, we can assume that each length is greater than the width. Let's assume the lengths are also 1.25 cm. The perimeter can then be estimated by multiplying the width by 2 and adding it to the sum of the two lengths: (1.25 cm * 2) + (1.25 cm + 1.25 cm) = 2.5 cm + 2.5 cm = 5 cm. Therefore, we estimate the perimeter of the figure to be approximately 5 cm.

The estimated perimeter of the pentagon is 19 units.

To estimate the perimeter of the given pentagon, we need to find the length of each side and add them together. The pentagon has a base of four units and the other sides are three units each.

To find the perimeter, we add the lengths of all the sides. In this case, the base has a length of four units, and there are five sides of three units each.

Calculating the perimeter:
4 + 3 + 3 + 3 + 3 + 3 = 19 units

Therefore, the estimated perimeter of the pentagon is 19 units.

Answer:

1. [tex]\frac{5}{162}[/tex]

2. [tex]\frac{3}{8}[/tex]

Step-by-step explanation:

For the first problem, the probability of spinning an odd number is [tex]\frac{5}{9}[/tex]. The probability of landing on heads is [tex]\frac{1}{2}[/tex], and then the probability of landing on a 3 is [tex]\frac{1}{9}[/tex]. Multiplying all of these together, you get [tex]\frac{5}{162}[/tex]. For the second problem, the probability of spinning a number greater than one is [tex]\frac{3}{4}[/tex], and the probability of landing on tails is [tex]\frac{1}{2}[/tex]. Multiplying these together, you get [tex]\frac{3}{8}[/tex]. Hope this helps!

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

12 – 15x > 22

Suntract 12 from both sides:

12-15x-12 > 22-12

Simplify:

15x > 10

Multiply both sides by -1 (reverse the inequality):

(15x)(-1)<(10)(-1)

Simplify:

15x < -10

Divide both sides by 15:

15x/15 < -10/15

Simplify:

x < -2/3

Your Answer Is x < -2/3

plz mark me as brainliest :)

Answer:

x < [tex]\frac{-2}{3}[/tex]       OR       x < -0.67

Step-by-step explanation:

The first step is to subtract 12 from both sides, like so:

12 - 15x > 22

-12           -12

__________

-15x > 10

Then, divide both sides by -15:

-15x > 10

x > [tex]\frac{-10}{15}[/tex]

Simplify:

x > [tex]\frac{-2}{3}[/tex]

When you multiply/divide by a negative number, you must flip the sign around. In this case, we divided by a negative number:

x < [tex]\frac{-2}{3}[/tex]       OR       x < -0.67

Answer:

X = -12.54 (I am a Math Class Topper in both 6th Grade an 7th Grade)

Step-by-step explanation:

5 x .27 = 1.35

8x - (3 x .27) = .81

1.35 + 8x - .81 = 7x - 12

        - 7x           - 7x

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

1.35 + X - .81 = -12

              + .81 +.81

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

1.35 + X = -11.19

-1.35         -1.35

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

X = -12.54