Given: m∠AOB = 35°, m∠BOC = 50°. Find: m∠FOD.

Answer: 1) [tex]A = 28ft^{2}[/tex]

2) 55 points

Step-by-step explanation:

1) A= 8w + 18, w=1.25

A = 8(1.25) + 18

A = 10 + 18

A = 28ft^2

2) 25 points to start with, additional 5 points per magazine they sell, m = number of magazines they sell

total points = 25 + 5m

How many if they sell 6?

total = 25 + 5(6)

= 25 + 30

total = 55

The answer is: 33.33%

Since we have the average number of accidents that occurs in 1 month, and it's equal to 3, we can calculate the probability of 1 accident occurs by dividing it into the average number of accidents, using the following formula:

[tex]Probability=\frac{FavorableOutcomes}{Outcomes}*100[/tex]

Where,

Favorable outcomes are the occurrence of the event, for this case, it's equal to 1.

Outcomes are the possible occurrence of the event, for this case, it's equal to 3.

So, by substituting we have:

[tex]Probability=\frac{1}{3}*100[/tex]

[tex]Probability=0.3333*100=33.33[/tex]

So, the probability will be equal to 33.33%

Have a nice day!

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

2/13

Step-by-step explanation:

There are 6 + 4 + 3 = 13 balls all together.

If the first one is green, this will happen with a probability of 4/13. Now there are 12 balls left

There are 6 red balls. 6/12 = 1/2

The probability of the way this happens is 1/2 * 4/13 = 2/13

Final Answer:

The population is the total number of students in the school.

Explanation:

The gym teacher's inquiry regarding the number of students playing a sport pertains to a subset of the larger student body. In statistical terms, the 20 students she questioned represent a sample.

The population, in this context, encapsulates the entirety of students attending the school, irrespective of whether they were asked about their sports participation or not.

When the gym teacher approached 20 students throughout the day, she was essentially drawing information from a limited group within the school. The population, however, extends beyond these 20 individuals to encompass every student enrolled in the institution.

This broader set includes students who might not have been present that day or were not approached by the teacher for their input. Determining the population aids in understanding the context and scale of the sampled data.

For instance, if the gym teacher's goal is to ascertain the percentage of students engaged in sports activities, the population figure (total number of students) becomes crucial for accurate statistical inference.

Consequently, the teacher can use this information to make informed decisions or implement strategies that cater to the entire student body, considering the interests and involvement in sports across the school.

100% - 25% = 75%

$35 x 75/100 = $26.25

The sale price should be $26.25.

a shirt was original $35 and is now 25% off.

Since it is 25% off

So, it should be

= 100% - 25%

= 75%

Now the 75% of $35 should be $26.25.

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Answer:

D.) 15 years

Step-by-step explanation:

7.5% of 550 rabbits would be 41.25

if you are increasing till you get over 1,000

it would take 10.9 almost 11 years to get to 1,000

meaning it would be 15 years when your over 1,000 giving you 1,168.75

Algebra form: y1 - y2, and x1 - x2.

( 2 - 1 ) ( 6 - 3 ).

= 1/3.

slope = 1/3.

Answer:

x=3

Step-by-step explanation:

2x+3=9

2x=6

x=3

Answer:

8

Step-by-step explanation:

b^2 c^-1

Let b=-4 and c =2

(-4)^2 * (2)^-1

The negative exponent means it is in the denominator

(-4)^2 / (2)^1

16/2

8

Answer:

208⅓ ft²

Step-by-step explanation:

The dimensions of Rachel's living room are 80 times the measurements on the scale drawing.

Calculate the width:

                                                                                     w = 80 × 1⅞

Convert the mixed number to an improper fraction     = 80 × 15/8

Cancel the 8s                                                                  = 10 × 15

                                                                                        = 150 in

Convert inches to feet                                                   = 150/12  

Convert the improper fraction to a mixed number      = (144 + 6)/12

                                                                                        = 12⁶/₁₂

Reduce the fraction to lowest terms                             = 12½ ft

Calculate the length

l = 80 × 2½  = 80 × 5/2 = 40 × 5 = 200 in = 200/12 = (192 + 8)/12

l = 16⁸/₁₂ = 16⅔ ft

Calculate the area

A = lw

A = 16⅔ × 12½

Convert the mixed numbers to improper fractions

A = 50/3× 25/2

Cancel the 2s

= 25/3 × 25

Multiply numerators and denominators                        

= 625/3

Convert the improper fraction to a mixed number    

= (624 + 1)/3

= 208⅓ ft²

The area of Rachel's living room is 208⅓ ft².

Answer:

)x + 5)(x - 5)

Step-by-step explanation:

x² - 25 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

x² - 25 = x² - 5² = (x + 5)(x - 5)

Answer:

The answer is 4y

Step-by-step explanation:

This is because when you have a variable and 2 numbers you work backwards to find the number of the x so you do the opposite of adding you subtract,  2 - 6 remember you are working backwards but now you have the answer 4 but there is a variable next to the two so you so you add that to the four.

Answer:

x = 7

Step-by-step explanation:

Order of operations rules require that we do multiplication and division BEFORE addition and subtraction.

Let's start by simplifying the expression.  Adding 15 to both sides results in:

8,000÷(28x+4) = 40.

Multiplying both sides by (28x + 4) results in the simpler:

8000 = 40(28x + 4).

Dividing both sides by 40 results in:

200 = 28x + 4, or

196 = 28x

Solve for x by dividing both sides by 28:

x = 7

Answer:

asfvbrgterwgwertbewgrq3geqgrewrgergergfergewrg

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The measures of a right-angle are;

A right triangle has a 90° angle and two acute angles and the sum of angles should add up to 180°. The leg angles could be  45 to form an  °isosceles triangle.

Answer:

[tex]\large\boxed{B.\ \dfrac{7}{4}}[/tex]

Step-by-step explanation:

[tex]\dfrac{\Delta y}{\Delta x}=\dfrac{14}{8}=\dfrac{14:2}{8:2}=\dfrac{7}{4}[/tex]

Answer:

Step-by-step explanation:

If y = ax² + bx + c has negative value of a, then a parabola is open down.

Look at the picture.

Vertex  = (-4, -4)

Answer:

C)   (-4, -4)

Step-by-step explanation:

Answer:

Count up however many squares are in the grip paper, and if it's not all the way full call it 1/2. Then add your half squares together, then add your whole squares to your half squares

Step-by-step explanation:

Answer:

option C

Step-by-step explanation:

Given table is a linear function when the change in y to change is x is a constant.

From the tables, difference of x is a constant 1

Lets look at the difference of y values

First table

We find the change in y values

[tex]-6+2=-4[/tex]

[tex]-2+6=+4[/tex]

the difference is not a constant. So it is not a linear

Second table

[tex]-5+2=3[/tex]

[tex]-9+5= 4[/tex]

the difference is not a constant. So it is not a linear

Third table

[tex]-10+2= -8[/tex]

[tex]-18+10=-8[/tex]

[tex]-26+18= -8[/tex]

the difference is a constant. So it is a linear function.

Answer:

1) The picture whose width = x and Length = (x + 8) feet

2) Width = 4 feet

   Length = 12 feet

Step-by-step explanation:

A rectangle has one side longer than the other.

Area of a rectangle = product of its sides.

                                  = length × width

Width = x feet

Length = (x + 8) feet

Area = 48

∴ x × (x + 8) = 48

   x² + 8x = 48

  x² + 8x + 4² = 48 + 4²

  (x + 4)² = 64

 x + 4 = √64

x = ±8 - 4

x = - 12        or x = 4

     Since length can not be negative, x = 4

∴ Width = 4 feet

   Length =4 + 8 = 12 feet

The dimensions of the rectangle where its area is 48 square feet and length is 8 feet more than width is 4 feet (width) and 12 feet (length). The question is set on algebra, calculation of area and understanding of shapes.

This problem falls under the category of algebra and involves understanding the concept of shapes, particularly rectangles, and calculation of their area.

We know, the area of a rectangle is calculated as the product of its length and width. Given that the area is 48 square feet and the length is 8 feet more than the width. Let's denote the width as 'w' and the length as 'w + 8'.

So, we can set up the equation as: w * (w + 8) = 48. Solving this quadratic equation will give us the values for 'w' and 'w + 8' or the dimensions of the rectangle.

If you factor the quadratic equation, you get (w - 4)(w + 12) = 0. Setting these factors to zero, we find that w = 4 or w = -12. Since width cannot be negative, the width is 4 feet. And the length, which is 8 feet more than the width, will be 4 + 8 = 12 feet.

For the picture representation, simply imagine or draw a rectangle. Label the shorter side as 4 feet (width) and longer side (length) as 12 feet.

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Answer:

B

Step-by-step explanation:

A parallel line means equal m values, so the slope of the equation has to be 3.

Then, we can plug in the (1,6) to each of the equations with 3 as a slope and see if they are equal to each other.

B. 6 = 3 + 3

B. 6 = 6

So B is the correct equation.

Answer:

The geometric mean is 18

Step-by-step explanation:

To find the geometric mean of two numbers, start by multiplying them together.

12 * 27 = 324

Now take the square root of that number

√324 = 18

Answer:

x=-1/2

Step-by-step explanation:

4x-6=10x-3

Subtract 4x from each side

4x-4x-6=10x-4x-3

-6 =6x-3

Add 3 to each side

-6+3 =6x-3+3

-3 = 6x

Divide each side by 6

-3/6 = 6x/6

-1/2 =x

➷ 4x - 6 = 10x - 3

Add 3 to both sides:

4x - 3 = 10x

Subtract 4x from both sides:

- 3 = 6x

Divide both sides by 6:

x = -1/2

The correct answer would be B. x = -1/2

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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➷ Angles in a triangle equal 180 degrees

180 - (38 + 39) = 103

Angles on a straight line equal 180 degrees

180 - 103 = 77

The correct statement would be the first one as x is greater than 38

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

The tenth in 149.95 is 9. To round it to the nearest tenth, use the hundredth. The hundredth is 5. When rounding, always round up when it is a 5. 95 should be rounded to 100, but it is a decimal. 100 as a decimal is equal to 1. 149 + 1 = 150.

Answer:

149.95 becomes 150 when rounded to the nearest tenth because 149.95 is only .5 away from 150. If it was something like 149.4 it would be rounded to 149.

Answer:

26 units

Step-by-step explanation:

Due to:

in the rect line, left to zero = 13 (absolute value)

in the rect line, right to zero = 13 (absolute value)

So the sum of each absolute value is the distance.

Best regards

Answer:

x = 33

Step-by-step explanation:

There are 180 degrees in a triangle.

There are also 180 degrees in a straight line.

180 - 105 = 75.

Thus, 75+72+x=180.

x=33

Answer:

x=33

Step-by-step explanation:

Step one :

From the screen shot

The sum of angles on a straight line is 180° hence 180°-105°=75°

The unknown angle is 75°

Step two :

To find the angle x° the sum of angles in a triangle is 180°

Therefore

x°+72°+75°=180°

x+147=180

x=180-147

x=33°