Which is the length of the arc MPN expressed in terms of pie?

For the given triangle, x = 5.1 cm and y = 6.1 cm.

Step-by-step explanation:  

Step 1:  

In the given triangle, the angle is 50°. It is given that the opposite side has a length of y cm and the adjacent side has a length of y cm.   The hypotenuse of the triangle measures 8 cm.

To determine the length of the opposite side of the triangle, we use the sin of the given angle.  

To determine the length of the adjacent side of the triangle, we use the cos of the given angle.  

[tex]sin \theta = \frac{oppositeside}{hypotenuse} , cos \theta = \frac{adjacentside}{hypotenuse}.[/tex]

Step 2:  

In the given triangle,  

The length of the opposite side = y cm,  

The length of the adjacent side = x cm,  

The length of the hypotenuse = 8 cm,  

The angle of the triangle = 50°.

[tex]sin \theta = \frac{oppositeside}{hypotenuse} , sin 50 = \frac{y}{8}.[/tex]

[tex]y = 0.7660 (8) = 6.128.[/tex]

[tex]cos \theta = \frac{adjacentside}{hypotenuse} , cos 50 = \frac{x}{8}.[/tex]

[tex]x = 0.6427 (8) = 5.1416.[/tex]

So x = 5.1416 cm and y = 6.128 cm. Rounding these off to one decimal place, we get x = 5.1 cm and y = 6.1 cm.

Answer:

Each shirt cost $12

Step-by-step explanation:

First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.

6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41

Hence we have two equations, and we solve them simultaneously.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.

6s+3t=79.5 (Equation 1)

3s+2t=41 (Equation 2)

We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the

2(6s+3t=79.5)

12s+6t=159 Equation 3

3(3s+2t=41)

9s+6t=123 Equation 4

We subtract equation 4 from equation 3.

12s+6t=159

9s+6t=123

12s-9s=3s

6t-6t=0

159-123=36

We therefore have

3s=36

Divide both sides by 3

s=36/3

s=12

One shirt cost $12

Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].

Solution:

Slope (m) = [tex]\frac{2}{3}[/tex]

Point [tex](x_1, y_1)=(-5, -6)[/tex]

Point - slope form:

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

[tex]$y-(-6)=\frac{2}{3}(x-(-5))[/tex]

[tex]$y+6=\frac{2}{3}(x+5)[/tex]

[tex]$y+6=\frac{2}{3}x+\frac{10}{3}[/tex]

Subtract 6 from both sides.

[tex]$y+6-6=\frac{2}{3}x+\frac{10}{3}-6[/tex]

[tex]$y=\frac{2}{3}x+\frac{10-18}{3}[/tex]

[tex]$y=\frac{2}{3}x-\frac{8}{3}[/tex]

Equation of the line is [tex]y=\frac{2}{3}x-\frac{8}{3}[/tex].

The image of the graph is attached below.

Answer:

Equation of the line is

Step-by-step explanation:

Graphs of proportional relationships visually depict how two or more variables are interrelated using line graphs, pie graphs, and bar graphs. Line graphs show direct relationships with a constant rate of change, pie graphs represent portions of a whole, and bar graphs compare quantities through the height of bars.

When interpreting graphs of proportional relationships, it's essential to recognize that these graphs illustrate how two variables correlate with one another. In line graphs, a straight line that passes through the origin indicates a direct proportionality, meaning as one variable increases, the other increases at a constant rate. For instance, if a line graph shows the relationship between hours worked and income earned, the line's slope denotes the rate of earning per hour, showcasing a proportional increase in income with more hours worked.

Pie graphs are used to represent how a whole is divided into parts, with the size of each 'slice' showing the percentage of the total. An example could be a budget allotment where each slice represents what percentage of the budget is spent on specific categories, like marketing or research and development.

Lastly, bar graphs can also indicate proportional relationships through the height of the bars. For example, if a bar graph displays the population sizes of different countries, each bar's height is proportional to the population of that country. When bars are segmented, they can show subgroups within that population, such as age demographics or income brackets.

Answer:

-8

Step-by-step explanation:

The answer is -8 because y=4 so 4-12=-8

Answer:

If the situation is: Sebastian has researched the following scoring schemes: one that has 5 question choices, one that has 4 question choices, and two that have 3 question choices. Which scoring scheme is the most favorable to the test taker?

Then I believe the answer is scheme D

Step-by-step explanation:

edge ( Brainliest if you can)

The perimeter of the triangle = 60 cm

Solution:

The given triangle is a right triangle.

Base of the triangle = 15 cm

Hypotenuse = 25 cm

Let the unknown side of the triangle be x.

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

[tex]x^2+15^2=25^2[/tex]

[tex]x^2+225=625[/tex]

Subtract 225 from both sides,

[tex]x^2=400[/tex]

Taking square root on both sides, we get

x = 20

The unknown side of the triangle is 20 cm.

The perimeter of the triangle = Sum of the sides of the triangle

                                                 = 15 cm + 25 cm + 20 cm

                                                 = 60 cm

The perimeter of the triangle = 60 cm

Answer:

A..., 1, 1/2", 1/4", 1/8"...

Step-by-step explanation:

Answer:

she incorrectly multiplied 90 times 0.9

Step-by-step explanation:

Probability that the total number rolled would be 1 , 2 , 3  is [tex]\frac{1}{6}[/tex] or 0.167 each .

Step-by-step explanation:

Here we have , a pair of 1-6 number generators is tossed once,   . We need to find that  what is the probability that the total number rolled would be..1?.... 2?.... 3?​. Tossed once, and number of outcomes are { 1,2,3,4,5,6 } out of which we need to find probability that the total number rolled would be 1 , 2 , 3 .

Probability for 1: Number 1 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Probability for 2:Number 2 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

Probability for 3:Number 3 will come out of 6 digits present there so,

[tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{favorable-outcomes}{total-outcomes}[/tex]

⇒ [tex]Probability = \frac{1}{6}[/tex]

⇒ [tex]Probability = 0.167[/tex]

The length of the side of the hexagon or square is 24 units.

Step-by-step explanation:

It is given that, a square and a regular hexagon have side of the same length.

The length is not given in the problem. So, let us assume the length of the side of hexagon or square as 'x'.

The additional information given is that, the perimeter of the square increased by 48 units will be equal to the perimeter of the hexagon.

To calculate the length x of square and hexagon :

Comparing both the perimeters of square and hexagon,

⇒ (4x + 48) = 6x

⇒ 48 = 6x-4x

⇒ 2x = 48

⇒ x = 48/2

⇒ x = 24 units.

The length of the side of the hexagon or square is 24 units.

Answer:

100 degrees

Step-by-step explanation:

A straight line pretty much means you have 180 degrees.

180 - 115 = 65

A triangle has 180 degrees

x = 180 - 15 - 65 = 100

Answer:

what are you looking for

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x 3)(x – 3)

(x5 3)(x – 3)

(x3 3)(x2 – 3)

(x3 3)(x3 – 3)

Answer:

(x3 + 3)(x3 – 3)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To find Volume, you multiply length, width and height.

10x4=40

40x5=200

Answer:

D)200yd^3

Step-by-step explanation:

all you have to do is times 4*5*10=200 to get the volume

The mean absolute deviation for the given data set is 45.1.

To find the mean absolute deviation for a given data set, follow these steps:

Find the mean of the data set by adding up all the values and dividing by the total number of values.

For each value in the data set, find the absolute difference between the value and the mean.

Find the average of these absolute differences by summing them up and dividing by the total number of values.

In this case, the data set is {122,132,155,198,213,225,261,280}.

The mean of this data set is 196. The absolute differences from the mean are: 74, 64, 41, 2, 17, 29, 65, 84.

The average of these absolute differences is 45.1. Therefore, the mean absolute deviation for the data set is 45.1.

Answer:

James is 58 and Tyson is 39 years old.

Step-by-step explanation:

x + y = 97

x - y = 19    +

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

2x = 116

x = 58

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

y = 97 - 58

y = 39

To find the ages of two friends based on the sum and difference of their ages.

James and Tyson are two friends whose ages sum up to 97 and have a difference of 19. To find their ages, we can set up a system of equations:

Therefore, James is 58 years old, and Tyson is 39 years old.

Answer:

[tex]x=40^o[/tex]

Step-by-step explanation:

the picture of the question in the attached figure

step 1

Find the measure of the interior angle of a regular nonagon

The formula to calculate the measure of the interior angle in any polygon is given by

[tex]\frac{(n-2)180^o}{n}[/tex]

where

n is the number of sides

In this problem we have

n=9 sides

substitute

[tex]\frac{(9-2)180^o}{9}=140^o[/tex]

step 2

Find the value of x

Remember that

The sum of the interior angle and the exterior angle in any vertex of the polygon must be equal to 180 degrees

so

[tex]x+140^o=180^o[/tex]

solve for x

[tex]x=180^o-140^o=40^o[/tex]

The volume of the tent is option A) 226 ft³

Step-by-step explanation:

The given data are,

To find the volume of the tent :

The volume of the tent can be found using the formula for volume of the cone, since the tent is in the shape of a cone.

Volume of the cone = (1/3)πr²h

where, r is the radius of the cone. The diameter is given as 12 ft. Therefore, to find the radius = diameter /2 = 12/2 = 6 ft.

The radius, r = 6 ft.

The height h of the cone is h= 6 ft.

Volume of the cone = (1/3)× 3.14× 6²× 6.

⇒ (1/3)× 3.14× 216

⇒ 678.24 / 3

⇒ 226.08 (which is approximately 226)

⇒ 226 cubic. ft

Therefore, the volume of the tent is option A) 226 ft³

Answer:

[tex]\huge\boxed{(-1)(4-c)=c-4}[/tex]

Step-by-step explanation:

[tex]\text{The distributive proeperty:}\ a(b+c)=ab+ac\\\\(-1)(4-c)=(-1)(4)+(-1)(-c)=-4+c=c-4[/tex]

Answer:

-36/7 or -5.14287

Step-by-step explanation:

so I would get rid of parentheses you do not need them

[tex]\frac{-6+-30}{5--2}[/tex]=[tex]\frac{-36}{7}[/tex](because when two negative come before two numbers like -x-y they are being added but negative is present to the result of the sum, when one negative sign comes after a number and the other negative sign comes before a number, like x--y they are being added as well but negative is not present to the result of the sum)

-36/7=-5.1428

hope this helps!

Answer:

17,810.58

Step-by-step explanation:

A = $ 17,810.58

A = P + I where

P (principal) = $ 10,000.00

I (interest) = $ 7,810.58

Step-by-step explanation:

we can write it in %form:

100% of the total income Annual income= $32,000 (given in question)

1%=$320. (divide both sides by 100 to solve by 1%)

8%=$320×8

(multiply by 8 both side to get money saved)

8%= *$2,560*

Answer:

12cm is the answer as the two lowest sides must be more in size than its longest side. 10+12=22

Step-by-step explanation:

Final answer:

The possible length of the third side of a triangle with two sides measuring 10 cm and 18 cm, according to the Triangle Inequality Theorem, must be more than 8 cm and less than 28 cm. Therefore, the valid measures among the given options are 8 cm and 12 cm.

Explanation:

The question concerns determining the possible length of the third side of a triangle when the lengths of the other two sides are given. The Triangle Inequality Theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Using this theorem, if we have sides measuring 10 cm and 18 cm, the possible lengths of the third side could be more than the difference of the two given sides and less than their sum. Therefore, the third side must be greater than 8 cm and less than 28 cm.

Among the given options, 6 cm is not a possible length because it is less than 8 cm and would not satisfy the Triangle Inequality Theorem. Similarly, 30 cm is not a possible length because it exceeds the sum of the two given sides. However, both 12 cm and 8 cm are possible lengths for the third side since both values are within the allowable range.

Answer: 1/100 or 0.01

Answer:

1 cm = 0.01 m

Step-by-step explanation:

Divide both sides of 1 meter = 100 centimeters by 100 to obtain an expression for the value of 1 cm:

  1 meter        100 cm

---------------- = -------------

 100                 100

Reducing this, we find that:  1 cm = 0.01 m

Answer:   17lbs of carrots

Step-by-step explanation:

The type of triangle is acute angled triangle.

Solution:

Let us first define the type of triangles based on angles.

If all angles of a triangle are less than 90°, then it is acute angled triangle.

If any one angle of a triangle is exactly 90°, then it is right angled triangle.

If any one angle of a triangle is more than 90°, then it is obtuse angled triangle.

Given angles of a triangle:

47°, 68° and 65°

Here all the three angles are less than 90°.

Hence it is a acute angled triangle.

Answer:

C I think.

Step-by-step explanation:

=============================================

Why this is the answer:

The rectangle has 3 circles packed inside it each with the same radius r. The diameter of each circle is 2r, so 3 of them result in a total rectangle length of 3*2r = 6r.

While one circle has a circumference of C = 2*pi*r = 2*3.14*r = 6.28r

Comparing 6.28r and 6r, we see that 6.28r is larger than 6r

6.28r > 6r

6.28 > 6 ... dividing both sides by r (the inequality sign doesn't change because r > 0)

This is true for any value of r.

Answer:

[tex]-5 \frac{4}{5}[/tex]

Step-by-step explanation:

That's the answer

Answer:

I guess the answer would be -5 and 4/5.

Hope this helps!