How old would you be if you were born 5 years ago?

Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

Answer:

C

Step-by-step explanation:

The y-intercept is (0,5) which narrows it down to A and C.

The "slope" is in the positive sections.

So, it's C.

Hope this helped! :)

Answer:

632.83mm²

Step-by-step explanation:

Applying Pythagorean theorem to triangle SOH

SH² = SO² + OH²

SH = \(\sqrt{(15.4)^2+(7.2)^2}=17mm\)

Since the base of the pyramid is a regular pentagon, angle OAH
is 108°/2 = 54°.

AH = 7.2/tan 54° = 5.23mm

So AB = 2AH = 10.46mm

The area of triangle SAB is:

A1 = 1/2 × SH × AB = 1/2 × 17 × 10.46 = 88.91mm²

The area of all triangles is

A2 = 5 × A1 = 5 × 88.91 = 444.55mm²

The area of the base is:

A3 = (perimeter × apothem)/2 = (5 × 10.46 × 7.2)/2 = 188.28mm²

The surface area of the pyramid is:

A2 + A3 = 444.55 + 188.28 = 632.83mm²

Step-by-step explanation:

the surface area is the sum of the base area (pentagon) and the 5 side triangles (we only need to calculate one and then multiply by 5, as they are all equal).

these side triangles are isoceles triangles (the legs are equally long).

the usual area formula for a pentagon is

1/2 × perimeter × apothem

the apothem is the minimum distance from the center of the pentagon to each of its sides.

in our case this is 7.2 mm.

how to get the perimeter or the length of an individual side of the pentagon ?

if the apothem of a pentagon is given, the side length can be calculated with the formula

side length = 2 × apothem length × tan(180/n)

where 'n' is the number of sides (5 in our case). After getting the side length, the perimeter of the pentagon can be calculated with the formula

perimeter = 5 × side length.

so, in our case

side length = 2 × 7.2 × tan(180/5) = 14.4 × tan(36) =

= 10.4622124... mm

perimeter = 5 × 10.4622124... = 52.31106202... mm

area of the pentagon = 1/2 × perimeter × apothem =

= 1/2 × 52.31106202... × 7.2 = 188.3198233... mm²

now for the side triangles.

the area of such a triangle is

1/2 × baseline × height

baseline = pentagon side length

height we get via Pythagoras from the inner pyramid height and the apothem :

height² = 7.2² + 15.4² = 51.84 + 273.16 = 289

height = 17 mm

area of one side triangle =

1/2 × 10.4622124... × 17 = 88.92880543... mm²

all 5 side triangles are then

444.6440271... mm²

and the total surface area is then

444.6440271... + 188.3198233... = 632.9638504... mm²

≈ 632.96 mm²

The probability that it weighs more than 51 pounds exactly 53 pounds.

Given that, mean weight of 50 pounds and a standard deviation of 0.5 pounds.

We need to find the probability that it weighs more than 51 pounds,

P(X = 53) = 0

z = (51 - 50) / 0.5 = 2.00

P(X > 51) = P(z > 2.00) = 0.0228

z1 = (49 - 50) / 0.5 = -2.00

z2 = (51 - 50) / 0.5 = 2.00

P(49 < X < 51) = P(-2.00 < z < 2.00) = P(z < 2.00) - P(z < -2.00) = 0.9772 - 0.0228 = 0.9544

Hence, the probability that it weighs more than 51 pounds exactly 53 pounds.

Learn more about probability click;

https://brainly.com/question/30034780

#SPJ1

Answer:

The answer is C!

Step-by-step explanation:

Answer:

Have a greattt day;)

Step-by-step explanation:

Answer:

geometric, with a common ratio of 1/2

Step-by-step explanation:

The sequence is geometric because you get successive trems by multiplying the previous term by a certain constant, the 'common ratio'. (If you got each successive term by adding or subtracting  the same constant number each time, that would be an arithmetic sequence.)

In this case, it looks like you get each successive term when you multiply the previous term by 1/2.

Thus, the common ratio is 1/2.

Answer:

x = 19

Step-by-step explanation:

So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°

Use this idea to set up an equation.

x + 16 + 3x - 2 = 90

Combine like terms.

4x + 14 = 90

Subtract 14.

4x = 76

Divide by 4.

x = 19

x = 19

If you are kooking for the angles:

x + 16

= 19 + 16

= 35

and

3x - 2

= 3(19) - 2

= 57 - 2

= 55

Check: 35 + 55=90

Also,

cos35 = sin55

Answer:

2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

x=2x+8/x

x-2x=8/x

-x=8/x

8=-x(x)

8=-x^2

8-(-x^2)=0

8+x^2=0

x^2+8=0

x=2i*sqrt(2), -2i*sqrt(2).

Step-by-step explanation:

\(x = \frac{2x + 8}{x} \)

\( {x}^{2} = 2x + 8\)

\( {x}^{2} - 2x - 8 = 0\)

\((x - 4)(x + 2) = 0\)

\(x = 4\)

or

\(x = - 2\)

Answer:

B is the correct answer. I just took the test :))

Step-by-step explanation:

Option B is correct, Divide R₂ by 2 and R₃  by 3 is the  next step in solving this augmented matrix using the Gauss-Jordan elimination method.

In the Gauss-Jordan elimination method, the goal is to transform the augmented matrix into row-echelon form and then into reduced row-echelon form to solve the system of linear equations.

To achieve this, we perform row operations on the matrix.

In the given augmented matrix:

\(\left[\begin{array}{ccc}1&0&0\\0&2&0\\0&0&3\end{array}\right] .\left[\begin{array}{c}5&8&9\end{array}\right]\)

We can divide R₂ (Row 2) by 2 and R₃ (Row 3) by 3 to simplify the matrix further we do this to make the leading coefficient (the number at the leftmost position in each row) of each row equal to 1, which is a requirement for row-echelon form.

After dividing R₂ by 2 and R₃ by 3, the augmented matrix becomes:

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right] .\left[\begin{array}{c}5&4&3\end{array}\right]\)

To learn more on Matrices click:

https://brainly.com/question/28180105

#SPJ2

Answer:

Marneisha with 9.52 pages.

Step-by-step explanation:

Zev: 56×0.15 = 8.4

Kelly: 64×0.12 = 7.68

Marneisha: 68×0.14 - 9.52

Aleisha: 72×0.10 = 7.2

The Option B statement "the opposite angles are equal" accurately describes a rhombus, as each of the four angles of a rhombus are equal to each other. This means that the opposite sides of the rhombus have the same measure.

A rhombus is a four-sided shape with all sides equal in length. It is also known as a diamond shape. The most important thing to remember about a rhombus is that the opposite angles are equal.

This means that the two angles across from each other on the rhombus have the same measure. This is what is meant by the statement "the opposite angles are equal," and it accurately describes a rhombus.

Learn more about Geometry: https://brainly.com/question/24375372

#SPJ4

All we need to do is, divide the tax cost by the total cost of the item.

32.80 / 410 = 0.08

Multiply to find the percentage.

0.08 * 100% = 8%

Therefore, the tax rate is 8%.

Best of Luck!

Answer:

your getting 400 points sir or maam

Step-by-step explanation:

Answer:

$34.8

Step-by-step explanation:

12p+4e+20

(12x0.85)+(4x1.15)+20

this gives u the answer 34.8 sir or maam.

(1) In diagram 1, the method used is proportional height method.

(2) In diagram 2, the method used is angle of depression method.

(3) In diagram 3, the method used for the indirect measurement  is the angle of elevation method.

The method of measurement of the height of the tree is determined as follows;

(1) In diagram 1, the method used to estimate the height of the tree is proportional height method.

(2) In diagram 2, the method used for the indirect measurement  of the height of the tree is angle of depression method, as indicated in the position of the observer.

(3) In diagram 3, the method used for the indirect measurement  of the height of the tree is the angle of elevation method, as  indicated in the position of the observer.

Learn more about height of trees here: https://brainly.com/question/9655877

#SPJ1

Answer: 1.5, 3.5, 4.5, 6.5, 8.5

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

Answer:

ndndnjxhdhfjhfjdirudjfjutt

It will take 15 days for the hair to grow from 12mm to 16.5mm

By "average rate" in this context, we mean the typical or usual amount of hair growth per unit of time, which is often measured in millimeters per day. This rate can vary slightly depending on factors such as age, gender, genetics, diet, and overall health.

Let's first find out how much the hair needs to grow by subtracting its initial length (12mm) from its target length (16.5mm):

16.5mm - 12mm = 4.5mm

Now we can divide this growth by the average rate of hair growth to find the number of days it will take to grow this much:

4.5mm ÷ 0.3mm/day = 15 days

Therefore, it will take 15 days for the hair to grow from 12mm to 16.5mm.

To know more about average rate:

https://brainly.com/question/17219001

#SPJ1

Here are the correct matches to the expressions to their solutions.

The GCF of 28 and 60 is 4.

(-3/8)+(-5/8) = -4/4 = -1.

-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.

The solution of 0.5 x = -1 is x = -2.

The solution of 1/2 m = 0 is m = 0.

-4 + 5/3 = -11/3.

-2 1/3 - 4 2/3 = -10/3.

4 is not a solution of -4 < x.

1. The GCF of 28 and 60 is 4.

The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:

28 = 2 x 2 x 7

60 = 2 x 2 x 3 x 5

The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.

2. (-3/8)+(-5/8) = -1.

To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.

3. -1/6 DIVIDED BY 1/2 = -1/3.

To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.

4. The solution of 0.5 x = -1 is x = -2.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.

5. The solution of 1 m = 0 is m = 0.

To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.

6. -4 + 5/3 = -11/3.

To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.

7. -2 1/3 - 4 2/3 = -10/3.

To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.

8. 4 is not a solution of -4 < x.

The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.

For more such questions on GCF

https://brainly.com/question/902408

#SPJ8

The theoretical probability of spinning a 4 is 1/6.

The Probability in mathematics is a possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

A spinner labeled 1 to 6.

S = {1, 2, 3, 4, 5, 6}

The theoretical probability of spinning a 4 is,

= 1/6

The image of the spinner is attached in the image below.

Therefore, 1/6 is the probability.

To learn more about the probability;

brainly.com/question/11234923

#SPJ1

The amount of rain required would be 2.5 inches.

What is the addition?

Addition is a mathematical operation that represents the process of combining two or more numbers together. The result of this operation is called the sum. The addition operation is often represented using the symbol "+", and it can be used to add any two or more numbers together.

To beat the record by one-tenth of an inch, an additional 0.1 inches of rain must fall.

Currently, the average amount of rain per day is 12 inches / 5 days = 2.4 inches per day.

So, the amount of rain that must fall on Friday to beat the record by one-tenth of an inch is 2.4 inches + 0.1 inches = 2.5 inches

Hence, the amount of rain required would be 2.5 inches.

To learn more about the addition, visit:

https://brainly.com/question/24536701

#SPJ1

Answer: a>-13

Step-by-step explanation:

Answer:

a= - 13 .......

.......

.......

.....

.....

In a trial run the cutoff time should be 58.78 minutes.

The standard deviation is a metric that reveals how much variance from the mean there is, including spread, dispersion, and spread. A "typical" variation from the mean is shown by the standard deviation. Because it uses the data set's original units of measurement, it is a well-liked measure of variability. When data points are closely spaced from the mean, there is a little variation, and when they are far spaced from the mean, there is a large variation. The standard deviation determines how much the data deviate from the mean.

Given a normal distribution:

Mean = 62.9 minutes

Standard deviation = 6.1 minutes

To cut the bottom 25% riders

Using the relation:

Z score = (score - mean) / standard deviation

Z score for the bottom 25% corresponds to

- 0.674(using tables or calculator)

Hence,

-0.674 = (score - 62.9) / 6.1

-0.674 * 6.1 = score - 62.9

-4.1114 = score - 62.9

-4.1114 + 62.9 = score

Score = 58.78

Hence, in a trial run the cutoff time should be 58.78 minutes.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ1

Answer: A. The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers.

Step-by-step explanation: on Edg 2020

Answer:

a

Step-by-step explanation:

Answer:

72 yd

Step-by-step explanation:

12 x 3=36

6 x 6=36

36 + 36= 72

Answer:

72 yd

Step-by-step explanation:

9×(12-6) = 54

3×6 = 18

54+18 = 72

Answer:

The number of ways of selecting the team is 26,400 ways.

Step-by-step explanation:

Given;

total number boys in the gym, b = 10 boys

total number of girls in the gym, g = 12 girls

number of team to be selected, n = 6

If there must equal number of boys and girls in the team, then the team must consist of 3 boys and 3 girls.

Number of ways of choosing 3 boys from the total of 10 = \(10_C_3\)

Number of ways of choosing 3 girls from a total of 12 = \(12_C_3\)

The number of ways of combining the two possibilities;

\(n = 10_C_3 \times 12_C_3\\\\n = \frac{10!}{7!3!} \ \times \ \frac{12!}{9!3!} \\\\n = \frac{10\times 9 \times 8}{3\times 2} \ \times \ \frac{12\times 11 \times 10}{3\times 2} \\\\n = 120 \times 220\\\\n = 26,400 \ ways\)

Therefore, the number of ways of selecting the team is 26,400 ways.

The ounces of shaving cream will be 230 ounces.

Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).

In this case, Mrs. Liu is mixing glue and shaving cream to make snowman puff paint for her art class. The ounces of glue to ounces of shaving cream must have a ratio of 7:15. If she is mixing 56 ounces of glue ,the shaving cream will be:

= 56 ÷ 7/15

= 56 × 15/7

= 120

Learn more about ratio on

brainly.com/question/2328454

#SPJ1

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

We have,

Let's start by finding the total number of points that Carlos can earn in the class:

Total points

= 5 quizzes x 20 points per quiz

= 100 points

If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.

Total points earned.

= 18 + 19 + 17 + 20

= 74 points

To find the minimum score Carlos needs on the final quiz, we can set up an inequality:

(74 + x) / 5 ≥ 0.9

where x is the score on the final quiz.

Simplifying this inequality.

74 + x ≥ 90

x ≥ 16

Therefore,

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1