Find the midpoint of the line segment joining the points.
(-2,-1) and (-10, 10)

Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Given:

The graph of a function \(y=h(x)\).

To find:

The interval where \(h(x)>0\).

Solution:

From the given graph graph it is clear that, the function before x=0 and after x=3.6 lies above the x-axis. So, \(h(x)>0\) for \(x<0\) and \(x>3.6\).

The function between x=0 and x=3.6 lies below the x-axis. So, \(h(x)<0\) for \(0<x<3.6\).

Now,

For \(-1<x<0\), the graph of h(x) is above the x-axis. So, \(h(x)>0\).

For \(0<x<1\), the graph of h(x) is below the x-axis. So, \(h(x)<0\).

For \(1<x<2\), the graph of h(x) is below the x-axis. So, \(h(x)<0\).

Only for the interval \(-1<x<0\), we get \(h(x)>0\).

Therefore, the correct option is A.

Answer:

$74.96

Step-by-step explanation:

$79.80 × 0.12 = 9.576 (discount)

$79.80 - $9.576 = $70.224

$70.224 × 0.0675 = 4.74012 (add for sales tax)

$70.224 + $4.74012 = $74.96412

Answer:

\(BC=5.1\)

\(B=23^{\circ}\)

\(C=116^{\circ}\)

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

In this case, A is the angle, and BC is the side opposite angle A, so:

\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)

Substitute the given side lengths and angle in the formula, and solve for BC:

\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-42\cos 41^{\circ}\)

\(BC^2=58-42\cos 41^{\circ}\)

\(BC=\sqrt{58-42\cos 41^{\circ}}\)

\(BC=5.12856682...\)

\(BC=5.1\; \sf (nearest\;tenth)\)

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)

Therefore:

\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)

\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)

\(B=22.5672442...^{\circ}\)

\(B=23^{\circ}\)

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)

\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)

\(180^{\circ}-C=63.5672442...^{\circ}\)

\(C=180^{\circ}-63.5672442...^{\circ}\)

\(C=116.432755...^{\circ}\)

\(C=116^{\circ}\)

\(\hrulefill\)

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

First blank would be 25, Second blank would be 75.

Step-by-step explanation:

In order to figure out the blanks, we must figure out the original function first.

How do we do that?

-> we put in the points that we already have- in to equation:

    y = ax + b

If we put the 6, 10 in to x, y , we would get :

10 = 6a + b

If we put the 12, 20 in to x, y , we would get :

20 = 12a + b

because these share the "+b" they can be subtracted.

           10   = 6a + b

-           20 = 12a + b

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

and this would be :

-10 = -6a, a = 5/3.

we can partly complete the equation.

y = 5/3x + b, and by putting in the numbers, we can figure out that b=0.

The full equation have : y = 5/3x

now, put 15 and 45 in to the x and see what you get!

y=25, 75

Have a nice day :)

Answer:

C π/2

Step-by-step explanation:

Amplitude: 1

Period: π2

Phase Shift: None

Vertical Shift: None

The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

The Mean is defined as the ratio of sum of numbers present in the data to the total numbers present in the data. Median is defined as the ratio of sum of middle numbers present in the data. Mode is defined as the most recurring number present in the data. Midrange is the ratio of the largest and smallest number in the data to 2.

Let's see how to calculate Mean, Median, Mode and Midrange.

Mean = 13 + 15 + 18 + 18 + 21 / 5

Mean = 85 / 5

Mean = 17

Median = 18 (as it is the middle term of the data)

Mode = 18 (as it is most recurring number)

Midrange = 21 + 13 / 2

Midrange = 34 / 2

Midrange = 17

Therefore, The Mean is 17, Median is 18, Mode is 18 and, Midrange is 17.

To study more about Mean, Median Mode:

https://brainly.com/question/14532771

https://brainly.com/question/542771

c) Mode: 15 (appears 6 times)

Mean: 15.25

Median: 15

d) Probability of being 13 years old: 2/20 = 0.1 or 10%

e) Probability of being 14 or 16 years old: 6/20 = 0.3 or 30%

f) Probability of not having 15 years old: 1 - (6/20) = 14/20 = 0.7 or 70%

a) To create a table and calculate the absolute frequency, relative frequency, and percentual frequency, we organize the given ages in ascending order:

13 13 14 14 15 15 15 15 15 16 16 17 17 17 18 18

Age Absolute Frequency Relative Frequency Percentual Frequency

13 2 2/16 12.5%

14 2 2/16 12.5%

15 5 5/16 31.25%

16 2 2/16 12.5%

17 3 3/16 18.75%

18 2 2/16 12.5%

b) To represent the data graphically with a histogram, we plot the ages on the x-axis and the absolute frequency on the y-axis:

c) To calculate the mode, mean, and median:

Mode: The mode is the most frequently occurring age in the dataset. In this case, the mode is 15, as it appears 5 times.

Mean: The mean is the average of all the ages. To calculate it, we sum up all the ages and divide by the total number of ages:

(13 + 13 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 17 + 17 + 17 + 18 + 18) / 20 = 306 / 20 = 15.3

Median: The median is the middle value in the dataset when arranged in ascending order. In this case, the median is 15 since it falls in the middle.

d) To calculate the probability of having 13 years old, we divide the absolute frequency of 13 (2) by the total number of ages (20):

Probability of 13 years old = 2/20 = 0.1 or 10%

e) To calculate the probability of having 14 or 16 years old, we add the absolute frequencies of 14 and 16 (2 + 2 = 4) and divide by the total number of ages (20):

Probability of 14 or 16 years old = 4/20 = 0.2 or 20%

f) To calculate the probability of not having 15 years old, we subtract the absolute frequency of 15 (5) from the total number of ages (20):

Probability of not having 15 years old = (20 - 5)/20 = 0.75 or 75%

for such more question on Probability

https://brainly.com/question/13604758

#SPJ8

Answer: 8:30, 16:60, 32:120

Shuttles A and B will leave the station together for the second time after 40 minutes

Given the following

Shuttles A and B will leave the station together for the second time at;

Looking for the LCM of 8 and 10

8  = 2 * 2 * 2

10 = 2 * 5

LCM = 2 * 2 * 2 * 5

LCM = 8 * 5

LCM = 40 minutes

Hence Shuttles A and B will leave the station together for the second time after 40 minutes

Learn more on LCM  here: https://brainly.com/question/16054958

The quadrilateral that has vertices (2,0), (0,-2), (-2,4) and (-4,2) is option

b. rectangle

To determine the special quadrilateral that is formed by connecting the midpoints of the sides of the quadrilateral with vertices (2,0), (0,-2), (-2,4) and (-4,2), we can find the midpoints of each side and then determine the shape formed by these points.

The midpoint of a line segment is the point that is exactly halfway between the two endpoints of the line segment. To find the midpoint of a line segment, we can take the average of the x-coordinates of the endpoints and the average of the y-coordinates of the endpoints.

We can find the midpoint of the side between (2,0) and (0,-2) by taking the average of the x-coordinates (2 and 0) and the average of the y-coordinates (0 and -2), which gives us the point (1,-1).

We can find the midpoint of the side between (0,-2) and (-2,4) by taking the average of the x-coordinates (0 and -2) and the average of the y-coordinates (-2 and 4), which gives us the point (-1,1).

We can find the midpoint of the side between (-2,4) and (-4,2) by taking the average of the x-coordinates (-2 and -4) and the average of the y-coordinates (4 and 2), which gives us the point (-3,3).

We can find the midpoint of the side between (-4,2) and (2,0) by taking the average of the x-coordinates (-4 and 2) and the average of the y-coordinates (2 and 0), which gives us the point (-1,1).

Therefore, the special quadrilateral formed by connecting the midpoints of the sides of the given quadrilateral is a rectangle.

Learn more about quadrilateral from

https://brainly.com/question/23935806

#SPJ1

Answer: Here is the answer! This is the answer I saw on the web. Sorry if this annoys you or gets you mad but it has the correct answer.  https://www.chegg.com/homework-help/questions-and-answers/jamal-asked-draw-circle-given-center-two-points-circle-isn-t-told-point--points-4-7-3-6-1--q74284191

Answer:

Paula get \(\$144\) and Kawai get \(\$168\).

Step-by-step explanation:

Given: Paula and Kawai shared \(\$312\) in the ratio of \(6:7\).

To find: How much money  did each person get?

Solution:

We have,

Paula and Kawai shared \(\$312\) in the ratio of \(6:7\).

So, let Paula get \(\$6x\) and Kawai get \(\$7x\).

As per the question,

\(6x+7x=312\)

\(\implies13x=312\)

\(\implies x=\frac{312}{13} =24\)

Therefore, Paula get \(6\times 24=\$144\), and Kawai get \(7\times 24=\$168\).

Hence, Paula get \(\$144\) and Kawai get \(\$168\).

Answer:

7/6 cups

Step-by-step explanation:

Mug is 2/7 full

Amount of water in the mug = 1/3 cup

Assume the full capacity of the mug = m

Then the current capacity of water in mug = (2/7) of m = (2/7)m

Current capacity of water in mug is equivalent to 1/3 cup of water

Hence,

(2/7)m = 1/3

2m/7 = 1/3

Cross multiply

(2m * 3) = 7 * 1

6m = 7

m = 7/6

m = 1 1/6 cups

Answer:

We can use the formula for compound interest to find the future value (FV) of Natalie's investment:

FV = P * (1 + r/n)^(n*t)

Where:

P is the principal amount (the initial investment), which is $2,000 in this case

r is the annual interest rate as a decimal, which is 11% or 0.11

n is the number of times the interest is compounded per year, which is 12 since interest is compounded monthly

t is the number of years, which is 20

Substituting the values into the formula, we get:

FV =

2

,

000

∗

(

1

+

0.11

/

12

)

(

12

∗

20

)

�

�

=

2,000 * (1.00917)^240

FV = $18,255.74

Therefore, after 20 years of compounded monthly interest at a rate of 11%, Natalie's investment of 2,000 will be worth approximately 18,256.

Answer:

$17,870

Step-by-step explanation:

You must use the formula for compound interest.

A = P(1 + r/n)^nt

I suggest you look it up at some point so that you can do these more easily in the future!

Answer: 10.361

Step-by-step explanation:

Answer:

6555

Step-by-step explanation:

Again you can you Distributive property to answer this question here is how-To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Answer:

6555

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

The distance from below the water ground which is -45 to 0 is 45 meters. From the surface of the water to the helipad is 25 meters. When you add together 45 and 25 you get that the distance between the ground below the water to the helipad is 65 meters.

Answer:

Which type of problem ...lol u have to mention this too

Answer:

what problem do u have

Step-by-step explanation:

please mark me as brainlest

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Since $31.65 x 20 = $633, the carpet's total cost includes both installation and delivery.

Describe a yard.

In both the British Imperial and US Customary Systems of Measurement, a yard is a unit of length. It corresponds to 3 feet or 36 inches. Yd is its emblem. Medium-sized object length is frequently measured using it.

How do you convert square yards to area feet?

To get the area value, multiply it by 9. To change the area from square feet to square yards, all you need to do is that. For instance, you must multiply 27 by 9 to convert 27 square feet to square yards.

Floor space is 15 x 12 ft², or 180 ft².

We know that 9ft² is 1 yard

So 180ft2 = 1/9*180 square yard

               = 20 square yard

Cost of 1 square yard = carpet cost + installation cost

                                  = $27.50 + $4.15

                                  = $31.65

Cost of 20 square yard = 20 * 31.65

                                    = $633

As a result, Wendy's room's carpet costs $633.

To know more about yards visit:

https://brainly.com/question/14516546

#SPJ1

\(3y \geqslant 13 - 9\)

\(3y \geqslant 4\)

\(y \geqslant \frac{4}{3} \)

\(3y \leqslant 13 - 1\)

\(3y \leqslant 12\)

\(y \leqslant 4\)

\( \frac{4}{3} \leqslant y \leqslant 4\)

Answer:

Step-by-step explanation:

k (porportionality)=y/x

our point on the graph is (4,3) so our constant of porportionality is 3/4

El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

For similar questions on Novecientos

https://brainly.com/question/1753221

#SPJ8

Answer:

70% or 175 students

Step-by-step explanation:

3/10 is equivalent to 30/100 which is the same thing as 30 percent

\(101c - 5c + 4c = 100c \\ \\ 12q - 4 + 10q - 4q + 9 \\ 12q + 10q - 4q - 4 + 9 \\ 18q + 5 \\ \\ 21k - 20k + 3k = 4k \\ \\ 181x + 91x - 23x = 249x\)

The probability of getting at least two heads is 0.965

Given that

Number of times fair coin tossed = 8

Since we know

The probability of getting head  in single toss = 1/2

And  probability of getting tail  in single toss = 1/2

Now, there are 247 combinations to get least two heads (256—1–8=247).

Therefore,

The probability of getting at least two heads

=  247/256 or 0.965…

To learn more about probability visit:

https://brainly.com/question/13604758

#SPJ1

Answer:

12.25\(\pi\) sq m

Step-by-step explanation:

if circumference is 7\(\pi\) then the diameter is 7

Area = \(\pi\)r²

A = (3.5)²\(\pi\)

A = 12.25\(\pi\)