Find the midpoint of the segment with the following endpoints. (6,1) and (2,10)

Answer:

0.21

Step-by-step explanation:

divide the length value by 100  21 centimeters in meters is 0.21

Answer:

0.21 its the k12 test.

Step-by-step explanation:

Answer:

80% of 75 is 60

Step-by-step explanation:

0.80x=60

x=60/0.80

x=75

The length of the arcs are;

1. s = 6. 4π

2. s = 11. 0π

The formula for calculating the length of an arc is expressed as;

s = rθ

Such that;

From the information given, we have that;

s = 4.25 × 3π/2

Multiply the values, we get

s = 12.75π/2

Divide by the coefficient , we get;

s = 6. 4π

2. The length of the arc would be;

s = 6.62 × 5π/3

Multiply the values, we have;

s = 33. 1π/3

Divide by the value, we get;

s = 11. 0π

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Answer:

a =17.08

b = 16.97

Step-by-step explanation:

What are the values of a and b?

Using pythagoras therem';

Hyp^2 = opp^2 + adj^2

Get the value of b;

18^2 = b^2 + 6^2

324 = b^2 + 36

b^2 = 324 - 36

b^2 = 288

b = √288

b = 16.97

Get the value of a;

b^2 + 2^2 = a^2

288 + 4 = a^2

292 = a^2

a^2  = 292

a = √292

a= 17.09

Standard sheet of paper in Europe has a greater area i.e. 29.7 cm. long and 21 cm wide.

1 in = 2.54 cm (in Europe)

In SI units standard-sized paper is 21.0 cm by 29.7 cm, which is equivalent to 8.268 in by 11.693 in.

In U.S.

U.S. sized standard paper is 8.0 in by 11.0 in therefore the SI (internationally) sized paper is longer.

Standard sheet of paper in Europe has a greater area than standard sheet of paper in U.S.

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Answer:

I dont know. Im sorry im struggling with this problem too. I hope you get an answer :)

Answer:

897

Step-by-step explanation:

"Product" in math refers to multiplication, so you would just multiply the two to get 897.

Answer:

897

Step-by-step explanation

multilpy

Answer:

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

We have that:

6 + 8 = 14 students, which means that \(N = 14\)

6 grade 11 students means that \(k = 6\)

Teams of 4 members means that \(n = 4\)

What is the probability that the team has at least 2 grade 11 students?

This is:

\(P(X \geq 2) = 1 - P(X < 2)\)

In which

\(P(X < 2) = P(X = 0) + P(X = 1)\)

So

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}\)

\(P(X = 0) = h(0,14,4,6) = \frac{C_{6,0}*C_{8,4}}{C_{14,4}} = 0.0699\)

\(P(X = 1) = h(1,14,4,6) = \frac{C_{6,1}*C_{8,3}}{C_{14,4}} = 0.3357\)

Then

\(P(X < 2) = P(X = 0) + P(X = 1) = 0.0699 + 0.3357 = 0.4056\)

\(P(X \geq 2) = 1 - P(X < 2) = 1 - 0.4056 = 0.5944\)

0.5944 = 59.44% probability that the team has at least 2 grade 11 students

In the parallelogram ABCD the measure of ∠BEC is obtained as 113°.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

It is given that ABCD is a parallelogram.

The measure of ∠EAD = 30°.

The measure of ∠EDA = 37°.

In the parallelogram ∠EBC = ∠EDA as they form alternate interior angles pair.

Similarly, ∠ECB = ∠EAD as they form alternate interior angles pair.

The measure of ∠ECB = 30°.

The measure of ∠EBC = 37°.

Since EBC forms a triangle, so the sum of the angles of a triangle is 180°.

The equation is -

∠ECB + ∠EBC + ∠BEC = 180°

Substitute the values into the equation -

30° + 37° + ∠BEC = 180°

67° + ∠BEC = 180°

∠BEC = 180° - 67°

∠BEC = 113°

Therefore, the measure of ∠BEC = 113°.

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Answer:

Step-by-step explanation:

The two angles at E that are enclosed by DE and CE (<DEC) and AE and BE (AEB) are vertically opposite. Therefore you have 2 sides and an included angle.

The Postulate  is SAS

Answer:

Step-by-step explanation:

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

The right response is 400%. In other words, Johnny moves at four times the pace of Jane.

We must compare the speeds of Johnny and Jane in relation to one another in order to get their ratio. According to the issue, Jane moves at a pace that is 1/4 that of Johnny. In other words, Jane moves at a speed that is one-fourth that of Johnny.

We may compare the speeds as a fraction to figure out the ratio:

Johnny's speed divided by Jane's speed equals 4/1.

This indicates that Johnny is moving at a speed that is four times that of Jane. We can express Johnny's speed as 400% of Jane's speed in percentage terms.

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The rate (in km/h) at which the distance from the plane to the radar station is increasing a minute later is 0 km/h (rounded to the nearest whole number).

To solve this problem, we can use the concepts of trigonometry and related rates.

Let's denote the distance from the plane to the radar station as D(t), where t represents time. We want to find the rate at which D is changing with respect to time (dD/dt) one minute later.

Given:

The plane is flying with a constant speed of 360 km/h.

The plane passes over the radar station at an altitude of 1 km.

The plane is climbing at an angle of 30°.

We can visualize the situation as a right triangle, with the ground radar station at one vertex, the plane at another vertex, and the distance between them (D) as the hypotenuse. The altitude of the plane forms a vertical side, and the horizontal distance between the plane and the radar station forms the other side.

We can use the trigonometric relationship of sine to relate the altitude, angle, and hypotenuse:

sin(30°) = 1/D.

To find dD/dt, we can differentiate both sides of this equation with respect to time:

cos(30°) * d(30°)/dt = -1/D^2 * dD/dt.

Since the plane is flying with a constant speed, the rate of change of the angle (d(30°)/dt) is zero. Thus, the equation simplifies to:

cos(30°) * 0 = -1/D^2 * dD/dt.

We can substitute the known values:

cos(30°) = √3/2,

D = 1 km.

Therefore, we have:

√3/2 * 0 = -1/(1^2) * dD/dt.

Simplifying further:

0 = -1 * dD/dt.

This implies that the rate at which the distance from the plane to the radar station is changing is zero. In other words, the distance remains constant.

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Step-by-step explanation:

Look at the points  (0,-3)  and  ( 3,0)

slope,  m = rise / run =   3 / 3 =  1  

Answer:

1

Step-by-step explanation:

y=x+3

Answer:

8400 yd^2

Step-by-step explanation:

600x 6 because its six times

3600

L+L+W+W=p

8400 yd ^2

Based on the frequency table given,

a) The minimum number of dogs that could have a mass of more than 26 kg is of: 5.

b) The maximum number of dogs that could have a mass of more than 26 kg is of: 16.

The frequency table displays the number of times each value, or range of values, appears in the data-set.

where 11 weights are between 20 and 30,  and all of the dogs in the interval 20 × 30 have weights less than 26 kg, the lowest number of dogs that might have a mass more than 26 kg is 5.

This  implies that only the dogs in the period 30 x 40 would have a mass greater than 26 kg.

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Answer:

1/4

1/8

1/12

1/100

1/1000

1/10000

Answer:

The radius is 1 unit.

Step-by-step explanation:

The radius of a circle is half of its diameter. 2/2=1 unit

Answer:

\(\huge\boxed{\sf{Ordered\:Pair:\:(-6, 3)}}\)

Step-by-step explanation:

Hello.

We need to find the coordinates of Denver.

Let's take a look at the coordinate plane and see if we can determine the coordinates of Denver.

The x-coordinate comes first. Look at the x-axis.

The x-coordinate of Denver is

-6

The y-coordinate of Denver is

3

The ordered pair is

(-6, 3)

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

hii good morning the answer is (-6, 3)

Answer:

negative

Step-by-step explanation:

positive -> as x increases, y increases

negative -> as x increases, y decreases

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.

A. The grams of rice served for 64 portion is 8960 grams.

B. The expression for the total weight in grams of rice needed for p portions is  140p.

C. The portion when a total weight of 11340 grams was served is 81 portion

D. The expression  for the number of portions served if the total rice weighed t grams is t / 140

The school cafeteria serves portions of fried rice that are 140 grams each.

A.

64 portions of rice are served. The grams of rice served is as follows:

1 portion = 140 grams

64 portions = ?

cross multiply

grams of rice served = 64 × 140

grams of rice served = 8960 grams

B.

The expression for the total weight in grams of rice needed for p portions is as follows:

total weight = 140p

C.

The portion when a total weight of 11340 grams was served is as follows:

140 grams = 1 portion

11340 grams = ?

portion = 11340 / 140

portion = 81 portion

D.

The expression  for the number of portions served if the total rice weighed t grams is as follows:

portion = t / 140

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The equation of the line that passes through the point (6,-5) and has a slope of -1/6 is y = (-1/6)x  - 4.

We know that, the slope intercept form of a line is given by:-

y = mx + c

Where,

m represents the slope of the line,

c represents the y -intercept and,

(x,y) represent the coordinates of each of the ordered pairs in the line

Hence, we can write,

m = -1/6

One of the ordered pairs, (x,y) is (6,-5).

Hence, we can write,

-5 = (-1/6)*6 + c

-5 = -1 + c

c = -5 + 1

c = - 4

Hence, the equation of the line is given by:-

y = (-1/6)x  - 4

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Answer:

d y dx=0

Explanation:

From the given

y=sin2x+cos2x

The right side of the equation is

=1

y=1

d y d x=d d x(1)=0

or we can do it this way.

y = sin2x+cos2x

d y d x=2

⋅(sinx)2−1

⋅

d d x(sinx)+2

(cosx)2−1 d d x(cosx)

d y d x=2⋅

sinx⋅cosx+2⋅cosx⋅(−sinx)

dydx=2⋅sinx⋅cosx−2⋅sinx⋅cosx

dydx=0

God bless....I hope the explanation is useful.

Since we have

\(y = \dfrac{\sin^2(x)}{\cos^2(x)} = \tan^2(x)\)

by definition of tangent, differentiating with the chain rule gives

\(\dfrac{dy}{dx} = \boxed{2 \tan(x) \sec^2(x)}\)

(second choice)