ABG

If Jake spins the spinner 32 times during the course of the game, what is a reasonable estimate for the number of times the spinner

will land on a number smaller than 4?


3 times

B

6 times

С

12 times

D

22 times

Answer:

Step-by-step explanation:

1. Let us assume that we are solving for the frame of the deck alone

2. And also from the given parameters the deck has a rectangular shape

we know that the total amount of woods to be used is same as the perimeter of the rectangle.

Given that

length l= 60 ft

width w= 8 ft

The formula for the perimeter of a rectangle is given as

Perimeter= 2l+2w

perimeter= 2*60+ 2*8

perimeter= 120+16

perimeter= 136 ft

Hence in other to construct the frame of the deck Adam needs a total of 136 ft of woods

Using 3 different methods, we can find that YZ = 25m

Method 1:

For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations -

sin(θ) = (opposite side)/Hypotenuse

cos(θ) = (adjacent side)/Hypotenuse

tan(θ) = (opposite side)/(adjacent side)

Now, in the given image we can see that:

θ = 30°

H = 50m

XY = adjacent side

YZ = opposite side.

We want to find YZ, so with the known things, we can use the first relation:

sin(30°) = YZ/50m

YZ = sin(30°) * 50m

YZ = 1/2 *50m

YZ = 25m

Method 2:

We know that the sum of the measure of all the internal angles of a triangle is always equal to 180°.

In a right-angled triangle, we have an angle equal to 90°.

Then we can write -

Z + 90° + 30° = 180°

Z = 180° - 90° - 30°

Z = 60°

From this angle, the side YZ is the adjacent side, then we can use the second trigonometric relation:

cos (60°) = YZ/50m

YZ = cos(60°) * 50m

YZ = 1/2 *50m

YZ = 25m

Method 3:

With the same angle of 60° we could find side XY, the opposite side as follows:

sin(60°) = XY/50m

XY = sin(60°) * 50m

XY = √3/2 *50m

XY = 25m

Now that we know one of the sides, we can use the last trigonometric relation-

tan(60°) = XY/YZ

tan(60°) = 43.3m/YZ

YZ =  43.3m/tan(60°)

YZ = 25m

Read more about trigonometric ratios:

brainly.com/question/24349828

#SPJ4

The complete question is -

Describe three ways to determine the measure of segment YZ.

Triangle XYZ is shown. Angle XYZ is a right angle and angle ZXY is 30 degrees. The length of hypotenuse XZ is 50 meters.

This is a retrospective observational study.

A retrospective study looks back in time at events that have already happened and analyzes data that were collected in the past. In this case, the study looks at women who were diagnosed with breast cancer at one hospital in 1992 and tracks their survival rates over five years. No intervention or treatment is being imposed on the patients; the researchers are simply observing and analyzing data that have already been collected.

The study is also observational because the researchers are not manipulating any variables or treatments. They are simply observing and recording what happens to the patients based on factors such as race and cancer diagnosis.

Know more about observational study here:

https://brainly.com/question/28191144

#SPJ11

Answer:

Exact Form  x = -8/3

Mixed Number Form : -2 2/3

Hope this help <3

Answer:

\(x = - \frac{8}{3} \)

Step-by-step explanation:

3x = -8

3x ÷ 3 = -8 ÷ 3

x = -8 ÷ 3

x = -8/3

The cost of each music video is $1.99.

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given total cost of 2 music videos, a TV series and a movie is $42.95

and TV series cost 2 times as much as the movie,

cost of the movie = $12.99

cost of  TV series = 2*12.99

cost of  TV series = $25.98

let the cost of a video be x

so according to condition,

2x + cost of  TV series + cost of the movie = $42.95

2x + 25.98 + 12.99 = 42.95

2x = 42.95 - 25.98 - 12.99

2x = 3.98

x = 3.98/2

x = $1.99

Hence the cost of a music video is $1.99.

Learn more about arithmetic operations;

https://brainly.com/question/25834626

#SPJ1

Answer:

452.16

Step-by-step explanation:

i got it right on test

The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

We have to given that;

Height of cylinder = 6 cm

And, Diameter of cylinder = 12 cm

Hence, We get;

⇒ Radius of cylinder = 12 / 2 = 6 cm

We know that;

The formula for the total surface area of a given cylinder whose radius is r and height is h is,

TSA = 2πr (h + r)

Hence, We get;

TSA = 2πr (h + r)

TSA = 2 × 3.14 × 6 (6 + 6)

TSA = 37.68 × 12

TSA = 452.16 cm²

Thus, The surface area of the cylinder is,

⇒ TSA = 452.16 cm²

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

Answer:

5%

Step-by-step explanation:

2000/40000 = 0.05

All you do is divide both numbers and you'll get the decimal form which in this case is 0.05 which means 5%.

Answer:

5%

Step-by-step explanation:

2000/40000 x 100 = 5%

The 5% discount is 8.10, Namas divide 42 between the percentage follow me and give me crown.

A discount is a reduction in the price of a product or service offered to customers. It is a common marketing strategy used by businesses to attract customers and increase sales. Discounts can be offered in various forms, such as percentage off, dollar off, or buy-one-get-one-free deals.

Discounts are often used to clear out old inventory, promote new products or services, and to reward customer loyalty. They can be temporary or ongoing, and the amount of the discount can vary depending on the product, service, or promotion. Customers benefit from discounts as they can purchase products or services at a lower price, saving them money. Businesses benefit from discounts as they can increase sales volume, clear out inventory, and attract new customers.

To learn more about Discount visit here:

brainly.com/question/3541148

#SPJ4

Complete Question:-

Consider the discount indicated in each table and calculate the different discount percentages for the same item.

Answer:

it should be c

Step-by-step explanation:

Answer:

The anser is C

Step-by-step explanation:

both are equal to 12

Answer:

4/45

Step-by-step explanation:

8 - 4

9   5

=  8 × 5 - 4 × 9

       9 × 5   5 × 9

=  40 - 36

       45   45

=  40 – 36

            45

=  4

      45

8/9 - 4/5

= 4/45

Answer:

It has no solution.

Answer:

Actually i think it does have a solution, if it does it would be a=1/4, 3

If i'm wrong i am very sorry..... So, if that not right then your answer is that it has no solution.....

Stay safe and have a Merry Christmas!!!!!!! :D

To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.

To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).

Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).

Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).

This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.

know more about volume :brainly.com/question/6071957

#SPJ11

To solve for \(V_2\) in the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) with the given values \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\), we can rearrange the equation to isolate \(V_2\). The solution for \(V_2\) is approximately 12.1.

To explain the solution further, we start with the equation \(M_1 \cdot V_1 = M_2 \cdot V_2\) and the given values: \(M_1 = 22.7\), \(V_1 = 2.70\), and \(M_2 = 5.24\).

Rearranging the equation to solve for \(V_2\), we divide both sides of the equation by \(M_2\): \(\frac{{M_1 \cdot V_1}}{{M_2}} = V_2\).

Substituting the given values, we have \(\frac{{22.7 \cdot 2.70}}{{5.24}}\), which can be evaluated to find \(V_2 \approx 12.1\).

This calculation is based on the principle of the dilution formula, which states that the initial concentration and volume of a solution are equal to the final concentration and volume when diluted. By rearranging the equation and plugging in the given values, we can determine the unknown volume, \(V_2\), in the equation. The resulting value of 12.1 indicates the volume required to achieve the desired concentration in the dilution process.

know more about volume :brainly.com/question/6071957

#SPJ11

The equation of line which has slope -3/4 and passes through a point (-5,4) is given by          

y = -3/4x  +1/4

We have been given,

                       Slope = m = -3/4

                       Point = (x1,y1) = (-5,4)

The general slope-intercept form is given as,

              y = mx + c

                 where m = slope

                               c = intercept

Further, the formula to find the equation of line when we have been given one point and the slope is as follows,

            (y-y1) = m(x-x1)            (1)

Now putting the required value in equation (1) we will get,

       (y-4) = -3/4(x+5)

        y-4 = -3/4x – 15/4

         y = -3/4x – 15/4 + 4

         y = -3/4x  +1/4

Thus, the equation of line which has slope -3/4 and passes through a point (-5,4) is given by          

y = -3/4x  +1/4

Learn more about slope intercept form here : https://brainly.com/question/19440459

#SPJ9

When the larger number is divided by the smaller, the quotient is 2 and the remainder is 4 then the two numbers are 18 and 7.

The first number would be x, leaving the other number to be x+11 (which would make it the bigger number) the quotient is:

\($\frac{x+11}{x}\)

Since it had a remainder of 4, it meant that the numerator was 4 more than having the divisor going in evenly ( had 4 left over) or it would have gone in exactly 2 times

It will take away 4 from the number being divided into (for it was just 4 too big for the divisor going in evenly) making

\($\frac{x+11-4}{x}=2$$\)

combine on top

\($\frac{x+7}{x}=2$$\)

Multiply both sides by x so it cancels on the left side with the denominator, giving

x + 7 = 2 x

subtract the x from both sides leaving

7 = x

So 7 was the first number and 18(x+11) is the second number

For more questions on numbers

https://brainly.com/question/9458155

#SPJ4

Answer:

A -2*-2 ≠- 4

Step-by-step explanation:

sqrt(-4)

The answer is an imaginary number

-2*-2 = 4 not -4

Answer:

\(\sqrt{-4} \neq -2 \\\)  because -2 times -2 equals 4 not -4.

Therefore A. \(-2^{2}\neq 4\) is the answer to this question.

If you need help on similar problems feel free to ask, hope I helped :)

Answer:

3 1/3 gallons

Step-by-step explanation:

It is more helpful to think of the wall as 5 sections. if two sections used 4/3, by logic one section uses 2/3 (because 4/3 ÷ 2 = 2/3). since there are 5 sections, 2/3 × 5 you get 10/3. turn it into a mixed fraction and you get 3 1/3.

Answer:

angle 2

Step-by-step explanation:

alternate interior angles are angles formed when two parallel or non parallel line are intersected by a transversal ....

The value of sin 0° is: OA) -√√33

To find the value of sin 8, given that cos 0° = and the angle is in quadrant IV, we can use the fundamental identity:

sin²θ + cos²θ = 1

Since cos 0° = , we have cos²0° + sin²0° = 1. Since the angle is in quadrant IV, cosθ is positive and sinθ is negative.

Let's solve for sinθ:

cos²0° + sin²0° = 1

( )² + sin²0° = 1

sin²0° = 1

sin²0° = 1 -

sin²0° =

sin0° = ±√

Since the angle is in quadrant IV and sinθ is negative in quadrant IV, we have:

sin 0° = -√

Therefore, the value of sin 0° is:

OA) -√√33

Learn more about value from

https://brainly.com/question/30390056

#SPJ11

Answer:

9

Step-by-step explanation:

keep adding

6(x-3)=3x+9

6x-18=3x+9

6x-3x=18+9

3x=27

x=27 ÷3

x=9

Hope this will help you

The solution is x = 9, which is an option (B).

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's simplify the equation by distributing 6 on the left-hand side:

6x - 18 = 3x + 9

Now, let's isolate the x terms on one side and the constant terms on the other side:

6x - 3x = 9 + 18

3x = 27

x = 9

Therefore, the solution to the equation 6(x - 3) = 3x + 9 is x = 9, which is option B.

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ7

Answer:

8

Step-by-step explanation:

Answer:

Rs 6900

Step-by-step explanation:

To calculate the tax amount the girl should pay in a year, we need to determine the taxable income and then apply the corresponding tax rates.

The taxable income is calculated by subtracting the tax-free allowance from the girl's early income:

Taxable Income = Early Income - Tax-Free Allowance

Taxable Income = 150,000 - 100,000

Taxable Income = 50,000

Now, we can calculate the tax amount based on the given tax rates:

For the first 20,000 rupees, the tax rate is 12%:

Tax on First 20,000 = 20,000 * 0.12

Tax on First 20,000 = 2,400

For the remaining taxable income (30,000 rupees), the tax rate is 15%:

Tax on Remaining 30,000 = 30,000 * 0.15

Tax on Remaining 30,000 = 4,500

Finally, we add the two tax amounts to get the total tax she should pay in a year:

Total Tax = Tax on First 20,000 + Tax on Remaining 30,000

Total Tax = 2,400 + 4,500

Total Tax = 6,900

Therefore, the girl should pay 6,900 rupees in tax in a year.

Answer:

Step-by-step explanation:

i am assuming that it wants you to find x so here is what i got.

I reccomend drawing it out

(3) 25+16÷4x= 13(x-1)      

its in this formate because HI + IG will give you HG

25+4x=13x-13

25+13=13x-4x   (moved the X's so they can be suptracted)

38=9x

38÷9 = 9x÷9

x≈4.2

same thing goes for the rest

(4) 16x-19+12x+9=0

16x+12x-19+9=0

28x-10=0

28x=-10/28

x= 5/14

(5) 18x-2-7x+3=0

18x-7x-2+3=0

11x-1=0

11x=1

x= 1/11

Answer:

a. five, twelve, thirteen

Answer:

22 + h = 53

Step-by-step explanation:

I don't know if I am correct

Answer:

The answer is 31, H=31

Step-by-step explanation:

53-22=31 :)

Answer:

C

Step-by-step explanation:

22.00*0.08=1.76

22.00+1.76 = 23.76

Answer:

c

Step-by-step explanation:

22*0.08=1.76

the total would be the cost plus tax

22+1.76=23.76

hope this helps :3

Answer:

See below

Step-by-step explanation:

See graph below

just an addition to the great reply above by jsimpson11000

Check the picture below.

An estimate for the total volume of food and water you've ingested in the last day is 3000-5000 milliliters. On average, the heart pumps about 5 liters of blood per minute. 10-20% or more error I'm expecting. Calculating heart blood volume compared to food and drink consumption is crucial for understanding circulation and liver function.

D.1 Estimating the amount of food and water consumed in a day can be difficult without specific measurements, but a rough estimate can be made based on typical intake amounts. On average, a person may consume 2-3 liters of water and 1000-2000 calories per day, resulting in an estimated total volume of 3000-5000 milliliters.

D.2 The amount of blood pumped by the heart varies from person to person and depends on factors such as heart rate and overall health. On average, the heart pumps about 5 liters of blood per minute, which is much larger than the estimated volume of food and water intake.

D.3 Estimating food and water intake and blood flow is prone to error due to variability and uncertainties in personal measurements. Individuals' habits, health, and physical activity levels can affect these estimates, potentially resulting in a significant error of 10-20% or more.

D.4 The calculation of the heart's blood volume compared to food and drink consumption is crucial for understanding the circulation system and liver role.

The liver processes nutrients, detoxifies, and produces blood components, while the heart is responsible for circulating blood throughout the body. The vast difference in volume between the two is emphasized, emphasizing the heart's crucial role in maintaining circulation.

To know more about blood refer here:

https://brainly.com/question/30828552#

#SPJ11