¿Que es él área?
¿Que es el perimetro?
¿Que es el volumen?
¿Como se realiza la factorizacion?

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Answer:

D. Bimodal

Explanation:

The given histogram has two creast, each crest represent a mode. So, we can say that this is a bimodal graph. Therefore, the answer is

D. Bimodal.

Given statement solution is :- None of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

To determine the meaning of the slope of the linear model for the given data, let's analyze the information provided. The table represents the distance traveled by a car at different time intervals.

Minutes | Distance Traveled (in miles)

50 | 20

20 | f

40 | 60

100 | a

125 | 80

100 | 100

To find the slope of the linear model, we need to calculate the change in distance divided by the change in time. Let's consider the intervals where the time changes by a fixed amount:

Between 50 minutes and 20 minutes: The distance changes from 20 miles to 'f' miles. We don't have the exact value of 'f', so we can't calculate the slope for this interval.

Between 20 minutes and 40 minutes: The distance changes from 'f' miles to 60 miles. Again, without knowing the value of 'f', we can't calculate the slope for this interval.

Between 40 minutes and 100 minutes: The distance changes from 60 miles to 'a' miles. We don't have the exact value of 'a', so we can't calculate the slope for this interval.

Between 100 minutes and 125 minutes: The distance changes from 'a' miles to 80 miles. Since we still don't have the exact value of 'a', we can't calculate the slope for this interval.

Between 125 minutes and 100 minutes: The distance changes from 80 miles to 100 miles. The time interval is 25 minutes, and the distance change is 100 - 80 = 20 miles.

Therefore, based on the given data, we can conclude that the car travels 20 miles in 25 minutes. To determine the meaning of the slope, we divide the distance change by the time change:

Slope = Distance Change / Time Change

= 20 miles / 25 minutes

= 0.8 miles per minute

So, none of the given options (a, b, c, or d) match the meaning of the slope. The correct interpretation is that the car travels approximately 0.8 miles every minute.

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Answer:

Step-by-step explanation:

Answer:45 degree angle

Step-by-step explanation: am smart

Answer:

1)  695.3 m²

2)  8 ft

3)  172.0 in²

Step-by-step explanation:

To find the area of a regular polygon, we can use the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

Given the polygon is an octagon, n = 8.

Given each side measures 12 m, s = 12.

Substitute the values of n and s into the formula for area and solve for A:

\(\implies A=\dfrac{(12)^2 \cdot 8}{4 \tan\left(\dfrac{180^{\circ}}{8}\right)}\)

\(\implies A=\dfrac{144 \cdot 8}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{1152}{4 \tan\left(22.5^{\circ}\right)}\)

\(\implies A=\dfrac{288}{\tan\left(22.5^{\circ}\right)}\)

\(\implies A=695.29350...\)

Therefore, the area of a regular octagon with side length 12 m is 695.3 m² rounded to the nearest tenth.

\(\hrulefill\)

The sum of an interior angle of a regular polygon and its corresponding exterior angle is always 180°.

If the exterior angle of a polygon measures 40°, then its interior angle measures 140°.

To determine the number of sides of the regular polygon given its interior angle, we can use this formula, where n is the number of sides:

\(\boxed{\textsf{Interior angle of a regular polygon} = \dfrac{180^{\circ}(n-2)}{n}}\)

Therefore:

\(\implies 140^{\circ}=\dfrac{180^{\circ}(n-2)}{n}\)

\(\implies 140^{\circ}n=180^{\circ}n - 360^{\circ}\)

\(\implies 40^{\circ}n=360^{\circ}\)

\(\implies n=\dfrac{360^{\circ}}{40^{\circ}}\)

\(\implies n=9\)

Therefore, the regular polygon has 9 sides.

To determine the length of each side, divide the given perimeter by the number of sides:

\(\implies \sf Side\;length=\dfrac{Perimeter}{\textsf{$n$}}\)

\(\implies \sf Side \;length=\dfrac{72}{9}\)

\(\implies \sf Side \;length=8\;ft\)

Therefore, the length of each side of the regular polygon is 8 ft.

\(\hrulefill\)

The area of a regular polygon can be calculated using the following formula:

\(\boxed{\begin{minipage}{5.5cm}\underline{Area of a regular polygon}\\\\$A=\dfrac{s^2n}{4 \tan\left(\dfrac{180^{\circ}}{n}\right)}$\\\\\\where:\\\phantom{ww}$\bullet$ $n$ is the number of sides.\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}\)

A regular pentagon has 5 sides, so n = 5.

If its perimeter is 50 inches, then the length of one side is 10 inches, so s = 10.

Substitute the values of s and n into the formula and solve for A:

\(\implies A=\dfrac{(10)^2 \cdot 5}{4 \tan\left(\dfrac{180^{\circ}}{5}\right)}\)

\(\implies A=\dfrac{100 \cdot 5}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{500}{4 \tan\left(36^{\circ}\right)}\)

\(\implies A=\dfrac{125}{\tan\left(36^{\circ}\right)}\)

\(\implies A=172.047740...\)

Therefore, the area of a regular pentagon with perimeter 50 inches is 172.0 in² rounded to the nearest tenth.

Answer:

1.695.29 m^2

2.8 feet

3. 172.0477 in^2

Step-by-step explanation:

1. The area of a regular octagon can be found using the formula:

\(\boxed{\bold{Area = 2a^2(1 + \sqrt{2})}}\)

where a is the length of one side of the octagon.

In this case, a = 12 m, so the area is:

\(\bold{Area = 2(12 m)^2(1 + \sqrt{2}) = 288m^2(1 + \sqrt2)=695.29 m^2}\)

Therefore, the Area of a regular octagon is 695.29 m^2

2.

The formula for the exterior angle of a regular polygon is:

\(\boxed{\bold{Exterior \:angle = \frac{360^o}{n}}}\)

where n is the number of sides in the polygon.

In this case, the exterior angle is 40°, so we can set up the following equation:

\(\bold{40^o=\frac{ 360^0 }{n}}\)

\(n=\frac{360}{40}=9\)

Therefore, the polygon has n=9 sides.

Perimeter=72ft.

We have

\(\boxed{\bold{Perimeter = n*s}}\)

where n is the number of sides in the polygon and s is the length of one side.

Substituting Value.

72 feet = 9*s

\(\bold{s =\frac{ 72 \:feet }{ 9}}\)

s = 8 feet

Therefore, the length of each side of the polygon is 8 feet.

3.

Solution:

A regular pentagon has five sides of equal length. If the perimeter of the pentagon is 50 in, then each side has a length = \(\bold{\frac{perimeter}{n}=\frac{50}{5 }= 10 in.}\)

The area of a regular pentagon can be found using the following formula:

\(\boxed{\bold{Area = \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *s^2}}\)

where s is the length of one side of the Pentagon.

In this case, s = 10 in, so the area is:

\(\bold{Area= \frac{1}{4}\sqrt{5(5+2\sqrt{5})} *10^2=172.0477 in^2}\)

Drawing: Attachment

Answer:

The critical value for the 90% confidence interval is \(Z_c = 1.645\).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

90% confidence level

So \(\alpha = 0.1\), z is the value of Z that has a p-value of \(1 - \frac{0.1}{2} = 0.95\), so \(Z = 1.645\).

The critical value for the 90% confidence interval is \(Z_c = 1.645\).

The total amount the mechanic will need in retirement savings to meet their retirement income goa is (B) $950,000, the correct option is B

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

We are given that;

Annual gross wage=  $47,500

Percentage saved= 80%

Draw in 1 year=4%

Now,

To calculate the total amount the mechanic will need in retirement savings to meet their retirement income goal, we can follow these steps:

Determine the retirement income goal: The mechanic wants to live off 80% of their current annual gross wage, which is:

0.8 x $47,500 = $38,000 per year

Calculate the amount of savings needed to generate the retirement income: The mechanic wants to draw 4% of their savings in the first year, so the amount of savings needed to generate $38,000 per year is:

$38,000 / 0.04 = $950,000

Therefore, by the given interest rate answer will be $950,000.

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Answer:

17

Step-by-step explanation:

Answer:b

Step-by-step explanation:

Answer:

Center = P

Radius = 12 cm

Diameter = 2(radius) = 2(12) = 24 cm

Circumference = 2πr = 2(3.14)(12) =75.36 cm

There are infinite radii and diameters in a circle.

Answer:

d

Step-by-step explanation:

lol its dfgfg daisy gainsays

Answer: The total amount Jennifer will owe to the bank on January 31st is $3,458.75

Step-by-step explanation: In September, Jennifer Rick went to Park Bank to borrow $2,500 at 11.75% interest for 4 months. As this loan is a simple interest loan calculated monthly, we need to calculate the total amount she will owe to the bank on January 31st.

We use the formula for simple interest which is:

Interest = Principal x Interest rate x Time

Interest = $2,500 x 11.75/100 x 4/12 = $958.75 (rounding to the nearest cent)

Now we can add the interest to the principal amount to get the total amount that Jennifer will owe to the bank on January 31st.

Total amount = Principal + Interest

Total amount = $2,500 + $958.75 = $3,458.75 (rounding to the nearest cent)

So, the total amount Jennifer will owe to the bank on January 31st is $3,458.75

Answer:

thirty-one billion four-hundred eighty-two million six-hundred seventy-three thousand one hundred ninety

Step-by-step explanation:

All these numbers are in the billions.

I'll do the first one:

thirty-one billion four-hundred eighty two million six-hundred seventy-three thousand one hundred ninety

Answer:

Step-by-step explanation:

HI there!

From the question;

Principal (p) = 300

Annual rate (r) = 3%

Time (t) = 4 yrs

Now;

Interest (I) = \(\frac{p*t*r}{100}\)

             I = \(\frac{300*4*3}{100}\)

             I = \(\frac{3600}{100}\)

Therefore the interest earned is 36.

Again;

New balance (A) = principal + interest

                            = 300+36

Therefore, the new balance is 336.

Hope it helps!

Answer:

I also don't know just search on up 289183773829

GIVEN

• Adrian takes 15 minutes to run around the track = 1 /15

• Jeremy takes 18 minutes to run around the track = 1/18

CALCULATE WHEN THEY BOTH RUN TOGETHER :

x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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Given the frequency and number of possible outcomes, the number of days that must pass before it becomes probable that Janice will have had to pick up lunch at least once is 8.

Note that the probability of any of the staff at the office picking the food is 1/8.

Even if She does not pick up lunch on her first day or second, the number of days that must pass to make sure that Janice picks up lunch AT LEAST once is 1 in 8 days.

The formula to compute the probability of an event is equivalent to the ratio of favorable outputs to the total number of outputs. It is to be noted that probabilities always range between 0 and 1.

The expression is given as:

P (E) = f/O; where

P(E) is the Probability of an event E happening;

f =  The number of possible outcomes for an event (frequency)

n = Total number of outputs that are likely

Hence,

P(E) = 1/8

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The midsegment of the trapezoid PQRS, which has sides P(0, 0), Q(0, 4), R(6, 4), & S(12, 0), is 11.07 units long.

A trapezoid or ellipse is an open, flat shape having three full sides and one pair of parallel sides. The equivalent sides of a trapezium are refer to as the bases, and the non-parallel sides have been known as the legs.

Half of the distances of the two adjacent sides, PQ and RS, make the total width of the trapezoid's middle section.

The vertices' points are designated as P(0, 0), Q(0, 4), R(6, 4), or S. (12, 0).

The sides PQ and RS's lengths are indicated as -.

The line segment PQ = √(x2 - x1)² + (y2 - y1)²

PQ = √(0 - 0)² + (4 - 0)²

PQ = √0² + (4)²

PQ = √0 + 16

PQ = √16

PQ = 4 units

The line segment RS = √(x2 - x1)² + (y2 - y1)²

RS = √(12 - 6)² + (0 - 4)²

RS = √(6)² + (-4)²

RS = √36 + 16

RS = √50

RS = 5√2 units

Adding the lengths of PQ & RS will reveal the mid section.

So, the equation will be -

Midsegment = PQ + RS

Midsegment = 4 + 5√2

Midsegment = 11.07 units

Midsegment length is 11.07 units as a result.

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Step-by-step explanation:

Vertical angles are equal   r = 70 degrees

m∠U = 80°

m∠U + 37° + 63° = 180°

m∠U = 180° -  63° - 37°

m∠U = 80°

m<U be x

Apply angle sum property

\(\\ \rm\rightarrowtail x+37+63=180\)

\(\\ \rm\rightarrowtail x+100=180\)

\(\\ \rm\rightarrowtail x=80\)

Answer:

26.64

Step-by-step explanation:

37% of x = 72

0.37x = 72

isolate x

x = 72*0.37

x = 26.64

Answer:

  70

Step-by-step explanation:

Apparently, you want the ratio of the weights:

  (dino weight)/(car weight) = (2.8×10^5)/(4×10^3)

  = (2.8/4)×10^(5-3) = 0.7×10^2 = 0.7×100

  = 70

The heaviest dinosaur weighed about 70 times the weight of an average car.

_____

Your calculator can do arithmetic in scientific notation. So can any spreadsheet.

The applicable rule of exponents is ...

  (10^a)/(10^b) = 10^(a-b)

Answer:

the person above me is right

Step-by-step explanation:

We want to see which offer is the best one to buy 40 batteries, by using algebra we will see that the best offer is offer-B

Here we just need to see which would be the cost of 40 batteries which each offer.

For offer-A, a pack of 4 costs £2.52 and we have 1/3 off.

For 40 batteries the cost will be 10 times the above quantity, we get:

10* £2.52 =  £25.20

But there is a 1/3 off, so the cost would be 2/3 of the above quantity:

£25.20*(2/3) = £16.80

For offer-B we know that a pack of 5 costs £2.75, so you need to buy 8 of these. And for each 3 you get one free, so you need to buy 6 (and get 2 free ones). The cost of 6 of these is:

6*£2.75 = $16.50

From this, we can conclude that offer-B is the best one.

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Answer:

To calculate the periodic interest rate for an account billed monthly with an APR of 21.99%, we need to divide the APR by the number of billing periods in a year.

Since there are 12 months in a year for a monthly billing cycle, we can divide 21.99% by 12 to get the monthly periodic interest rate.

Periodic Interest Rate = APR / Number of Billing Periods in a Year

Periodic Interest Rate = 21.99% / 12

Periodic Interest Rate = 1.8325%

Rounding this answer to the nearest hundredth, we get a periodic interest rate of 1.83%.

Answer:

15:1

Step-by-step explanation:

30/2=15

2/2 = 1

15:1

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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