Absulate value of |-78|​

Answer:

10.8

Step-by-step explanation:

We need to use the cosine:

cos(26deg) * 12 ~= 0.89879404629 * 12 ~= 10.7855285556 ~= 10.8

La esculturas triangulares tendrán las siguientes medidas 16.66 cm, 40 cm y 23.32 cm.

Es la suma total de los lados del triángulo, en este caso el perímetro total es de 80.

Se pueden calcular usando el total y la información sobre cada lado:

Finalmente calcule cada lado:

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Answer:

(6, 3)

Step-by-step explanation:

\(Midpoint (x_{m},y_{m})=(\frac{x_A + x_B}{2}, \frac{y_A + y_B}{2})\\\\=(\frac{3 + 9}{2}, \frac{6 + 0}{2})\\\\=(\frac{12}{2}, \frac{6}{2})\\\\Midpoint of a line segment (x_M, y_M) = (6, 3)\)

How to Calculate Midpoint?

The x-coordinate of the midpoint M of the segment \(\overline{AB}\) is the arithmetic mean of the x-coordinates of the endpoints of the segment  \(\overline{AB}\). Similarly, the y-coordinate of the midpoint M of the segment  \(\overline{AB}\) is the arithmetic mean of the y-coordinates of the endpoints of the segment  \(\overline{AB}\).

Answer:

I think it's A

Step-by-step explanation:

225x + 400 ≥ 2200

225x ≥ 1800

x ≥ 8

At the end of the fifth day, a bricklayer has laid 324 bricks on the job.

Multiplication is a mathematical arithmetic operation.

It is also a process of adding the same types of expression to some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given, a bricklayer lays 4 bricks on the first day on the job.

On each day thereafter, he lays three times the number of bricks he laid on the previous day.

And he continued his pattern.

Let x be the number of bricks he laid in the previous day.

Then according to the question,

The number of bricks in total is = 3x

For the second day, x =4

Number of the bricks he laid on the second day = 12

Now the x =12 for the third day.

Number of the bricks he laid on the third day = 36

Now x = 36 for the fourth day.

Number of the bricks he laid on the fourth day = 108

Now the x = 108 for the fifth day.

Number of the bricks he laid on the fifth day = 324

Therefore, 324 bricks he has laid at the end of the fifth day.

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Answer:  Those both would be 21 with work ....

Given information:Position of a particle moving along the x-axis varies in time according to the expression x = 3t², where x is in meters and t is in seconds.

To determine the position at the following times. a. t = 3.30 s, b. t = 3.30 s + Δt xf and c. Evaluate the limit of Δx/Δt as Δt approaches zero to find the velocity at t = 3.30 s. a. To find the position when t = 3.30 s, substitute t = 3.30 s in x = 3t².x = 3t² = 3(3.30)² = 32.67 metersTherefore, the position at t = 3.30 s is 32.67 meters.

b. To find the position when t = 3.30 s + Δt, substitute t = 3.30 s + Δt in x = 3t².x = 3t² = 3(3.30 s + Δt)² = 3(10.89 + 6.6Δt + Δt²) = 32.67 + 19.8Δt + 3Δt²Therefore, the position when t = 3.30 s + Δt is 32.67 + 19.8Δt + 3Δt².c. Velocity is given by Δx/Δt.Δx/Δt = [x(t + Δt) - x(t)]/ΔtBy substituting the given values, we have;Δx/Δt = [x(3.30 + Δt) - x(3.30)]/Δt= [3(3.30 + Δt)² - 3(3.30)²]/Δt= 19.8 + 6ΔtTaking the limit of Δx/Δt as Δt → 0, we have;Δx/Δt = 19.8 + 6(0)Δt = 19.8Therefore, the velocity at t = 3.30 s is 19.8 m/s.

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Answer: (9,8) A

Step-by-step explanation: how the mandle 10 30  6 150 144

The required experimental probability that the next batter will get a hit is 2/11.

A number that indicates how likely an event is to occur is called its probability. It is communicated as a number in the reach from 0 and 1, or, utilizing rate documentation, in the reach from 0% to 100 percent. The higher the probability, the more likely the event is to occur.

The experimental probability of an event happening is defined as the number of times the event occurs divided by the total number of trials or events.

In this case, we are given that 4 out of 22 batters have gotten a hit so far. Therefore, the experimental probability that the next batter will get a hit is:

P(hit) = Number of hits / Total number of batters

P(hit) = 4/22

Simplifying:

P(hit) = 2/11

Therefore, the experimental probability that the next batter will get a hit is 2/11.

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Answer:

Step-by-step explanation:

An isosceles triangle is one that has 2 sides that are the same length, like ours here. Because of the Isosceles Triangle Theorem, if 2 side lengths are congruent, then the angles opposite those sides are congruent, as well. That means that both base angles are 53 degrees. However, we are looking for the altitude, or height, of the triangle. That changes everything. Drawing in the height serves to cut the triangle in half, splitting both the vertex angle (the angle at the top of the triangle) and the base exactly in half. Now we have 2 right triangles which are mirror images of each other. We only need concentrate on one of these triangles. What the triangle looks like now:

One base angle is 90 degrees and the other is 53 degrees. By the Triangle Angle-Sum Theorem, the third angle has to be a degree measure which ensures that all the angles add up to 180. Therefore, the third angle measures 180 - 90 - 53 = 37. Even still, besides knowing all the angle measures, we really don't need any besides the 53 degree one.

As far as side lengths go, the base is 12 (because the height cut it in half). To find a missing side in a right triangle you either use Pythagorean's Theorem or right triangle trig, depending upon the info you're given. We only have enough to use right triangle trig.

We have the base angle of 53, which is our reference angle, the side next to, or adjacent to, the reference angle, and we are looking for the side length opposite the reference angle. This is the tan ratio where

\(tan\theta=\frac{opp}{adj}\)  where tangent of the reference angle is equal to the side opposite the reference angle over the side adjacent to the reference angle. Filling in that ratio:

\(tan53=\frac{opp}{12}\) and multiply both sides by 12 to get

12tan53 = opp and do this on your calculator to get that

opp = 15.9 inches

Answer:

14 i hope this leads you into the good

Answer:

yeah the answer is 12

Step-by-step explanation:

G day mate I hope u get it right

Answer: 32.7

Step-by-step explanation:

The amount of money that I will have at the end of 20 years would be =$4,480. That is option D

Compound interest is defined as the interest that is being earned on an account which is based on the rate and the time the investment was made.

The total amount invested (p)= $2,000

The rate of investment (r) = 5%

The time of investment(t)= 12 year

The compound interest warm from that account;

= P×T×R/100.

= 2,000×12×5/100

= 120000/100

= $1200

For the next 8 years with the rate of 8% ;

= 2,000×8×8/100

= 128000/100

= $1280

The total compound interest = $1200+$1280= $2,480

Therefore, the amount of money that I will have at the end of 10 years would be = 2000+2480 = $4,480

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The mean is approximately 5.47, the median is 5, and the mode is 5 for the given data set of yogurt pretzels.

The given data set represents the number of yogurt pretzels in various bags. The numbers in the data set are: 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 7, 7, 8.To summarize the data set, we can calculate the measures of central tendency, such as the mean, median, and mode:

Mean: The mean is calculated by summing up all the values and dividing by the total count. In this case, the sum is 82, and there are 15 values. So, the mean is 82/15 ≈ 5.47.

Median: The median is the middle value when the data set is arranged in ascending or descending order. In this case, the median is 5, as it lies in the middle when the values are sorted.

Mode: The mode is the value that appears most frequently. In this data set, the mode is 5, as it occurs six times, more than any other number.

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Harper and Dean raced each other in gym class. Harper ran 100 m in 14. 56

seconds. Dean ran the same distance in 15. 12 seconds. Therefore, Harper 0.56 second faster than Dean.

Distance:

Distance is a numerical or sometimes qualitative measurement of the distance between objects or points. In physics or common usage, distance can refer to a physical length or an estimate based on other criteria. Since spatial cognition is a rich source of conceptual metaphors in human thought, the term is also often used metaphorically to refer to a measure of the amount of difference between two similar objects (such as statistical distance or distance between changing probability distributions) text strings) or some degree of separation (like the distance between people in a social network). Most of these concepts of distance, whether physical or metaphorical, are formalized in mathematics using the concept of metric spaces.

In the social sciences, distance can refer to qualitative measures of separation, such as social or psychological distance.

Given that:

Harper ran 100 m in 14. 56 seconds. Dean ran the same distance in 15. 12 seconds.

Now, The faster Harper ran than dean is:

15.12- 14.56 = 0.56 seconds.

Therefore, Harper 0.56 second faster than Dean.

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Answer:

Rewriting the expression \((3^\frac{2}{3})^\frac{1}{6}\) with a rational exponent as a radical expression we get \(\mathbf{\sqrt[9]{3} }\)

Step-by-step explanation:

We need to rewrite the expression \((3^\frac{2}{3})^\frac{1}{6}\) with a rational exponent as a radical expression.

The expression given is:

\((3^\frac{2}{3})^\frac{1}{6}\)

First we will simply the expression using exponent rule \((a^m)^n=a^{mn}\)

\((3^\frac{2}{3})^\frac{1}{6}\\=(3^\frac{2}{18})\)

As we know 2 and 18 are both divisible by 2, we can write

\(=(3^\frac{1}{9})\)

Now we know that \(a^\frac{1}{9}=\sqrt[9]{a}\)

Using this we get

\(=\sqrt[9]{3}\)

So, rewriting the expression \((3^\frac{2}{3})^\frac{1}{6}\) with a rational exponent as a radical expression we get \(\mathbf{\sqrt[9]{3} }\)

The unit rate in chapters per hour is 21/16 hours

Greg read 7/8 hours in 2/3 chapter

The unit rate can be calculated as follows

7/8= 2/3

1= x

cross multiply both sides

2/3x= 7/8

x= 7/8 ÷ 2/3

x= 7/8 × 3/2

x= 21/16

Hence 21/16 chapters is read in one hour

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The equation of f(x) is given as follows:

f(x) = (x + 2)(x - 3).

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

The roots for this problem are given as follows:

Hence the function in factored form is defined as follows:

f(x) = a(x + 2)(x - 3)

From point (2,-4), when x = 2, f(x) = -4, hence the leading coefficient a is obtained as follows:

-4 = a(4)(-1)

-4a = -4

a = 1.

Hence the function is:

f(x) = (x + 2)(x - 3).

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If two variables are correlated, a change in one must directly produce a change in the other. (False)

Correlation is a statistical measure that indicates the extent to which two or more variables fluctuate together. It is a value between -1 and 1 that represents the strength of the relationship between two variables.

False. If two variables are correlated, a change in one may or may not directly produce a change in the other. Correlation means that there is a relationship between two variables, but it does not necessarily mean that one causes the other. It's possible for two variables to be correlated without any causal relationship between them.

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Answer:

y = - 9x + 14

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 4, 50 ) and (x₂, y₂ ) = (5, - 31 )

m = \(\frac{-31-50}{5-(-4)}\) = \(\frac{-81}{5+4}\) = \(\frac{-81}{9}\) = - 9 , then

y = - 9x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, - 31 )

- 31 = - 9(5) + c = - 45 + c ( add 45 to both sides )

14 = c

y = - 9x + 14 ← equation of line

Answer:

The estimated answer would be 9

Step-by-step explanation:

The answer I received in the calculator was 8.94422. Since the tenths, place value(9) is closer to 9.0 than 8.0, we round up. I hope this helps you.

Answer: did you make that up ??

Step-by-step explanation:

Answer:

A. Alternate interior

B. Transitive property

C. Converse alternate interior angles theorem.

Answer:

parent function is the simplest form of the type of function given.

The transformation from the first equation to the second one can be found by finding , , and for each equation.

Find , , and for .

Find , , and for .

The horizontal shift depends on the value of . The horizontal shift is described as:

- The graph is shifted to the left units.

- The graph is shifted to the right units.

Horizontal Shift: None

The vertical shift depends on the value of . The vertical shift is described as:

- The graph is shifted up units.

- The graph is shifted down units.

Vertical Shift: None

The sign of describes the reflection across the x-

The method to get the  future cash flow using the cumulative present value factor is explained.

To calculate the numbers you mentioned, you need to use the cumulative present value factor (PV factor) formula. The PV factor represents the present value of a future cash flow discounted at a given interest rate.

To calculate the cumulative PV factor at 2.5% for 12 periods (10.25776),

you need to multiply the PV factor for each period. The formula for the PV factor is 1 / (1 + interest rate) ^ number of periods.

For example, to calculate the PV factor for each period, you would use the following formula: 1 / (1 + 0.025) ^ period number.

Then, multiply these PV factors for each period to get the cumulative PV factor for 12 periods.

To calculate the cumulative PV factor at 2.5% for the 13th to 37th period (13.69955), you would follow the same steps as above.

However, instead of multiplying the PV factors for all 37 periods, you would subtract the cumulative PV factor for 12 periods from the cumulative PV factor for 37 periods.

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Answer:

66

Step-by-step explanation:

∠HEI = 48

∠ICH = 180 - ∠HEI

         = 180 - 48

∠ICH = 132

∠ABD = ∠ICH / 2

          = 132/2

∠ABD = 66