A tabletop in the shape of a trapizoid has an area 8607 square centimeters. its longer base measures 123 centimeters, and the shorter base is 105 centimeters what is the height?​

Answers

Answer 1

Answer:

286.94 cm

Step-by-step explanation:

Data:

             Area = 8,607

             b1 = 105

             b2 = 123

      Area = 1/2 * (b1 + b2) * h

      h = 2 * Area/b1 + b2

      h = 2 * 8,607/105 + 123

     h = 286.94 cm

I'm not sure if it's right but that's what my calculator gave me.


Related Questions


Need help with this

Answers

oh wow that’s a lot that’s crazy

Please help!!!!!!!!!!!

Answers

Answer:

Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm

Step-by-step explanation:

I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.

Answer:

1. I think 30ft 2. I think 4m 3.I think 10mm

Prove that a+b/2≥√ab

Answers

Start by squaring both sides got remove the sqrt
[(a+b)/2]^2 ≥ ab
(a^2 +2ab +b^2 )/4≥ ab
Multiply both sides by 4
a^2 +2ab +b^2 ≥ 4ab
Subtract 2ab from both sides
a^2 + b^2 ≥ 2ab
Subtract 2ab from both sides
a^2 - 2ab + b^2 ≥ 0
Use quadratic equation to solve where a = 1 and b = -2b
2b ± sqrt[(-2b)^2 - (4x1xb^2)]/(2x1)
2b ± sqrt[4b^2 - 4b^2]/2
(2b ± 0)/2
a = b
Substituting for b in the equation a^2 + b^2 ≥ 2ab
2a^2 ≥ 2a^2

solve for x: 5/2x = 15/2 x=3

Answers

Answer:

3

Step-by-step explanation:

5/2⋅=15/2⋅=3

Help me out pls and thank you very much !!!!!!!

Answers

Answer:

8

Step-by-step explanation:

Since this is a rectangle, the opposite sides are congruent.

So the lengths of DG and EF are equal

3x + 5 = 29

3x = 29 - 5

3x = 24

x = 24/3

x = 8

If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?

(3, -5)
(3, 5)
(-5, 3)
(5, -3)

Answers

You just swap the ordered pair units around. It’d be (-5, 3)

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

How to determine which of the following must be an ordered pair of the inverse of f(x)

To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.

Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.

Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:

x = f(y)

Substituting f(3) = -5:

3 = f(y)

Therefore, the inverse function of f(x) is y = 3.

Now, let's check which of the given ordered pairs satisfies the inverse function:

- For (3, -5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.

- For (3, 5):

When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.

- For (-5, 3):

When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.

- For (5, -3):

When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.

Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).

Learn more about inverse function at https://brainly.com/question/3831584

#SPJ2

Help plz need the answer asap

Answers

Answer:

The video is blocked but you can type your question on here1

Step-by-step explanation:

Find the slope of the line.

The slope of the line is ___.

Answers

Points: (-2,-4) and (2,6)
Use formula: (y2-y1)/(x2-x1)
(6-(-4))/(2-(-2)) = 10/4
The slope is 10/4

Answer:

5/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-(-4))/(2-(-2))

m=(6+4)/(2+2)

m=10/4

simplify

m=5/2

I'll give points and brainalist for answer / explanation

Answers

Answer:

D. 28.26 in²

Step-by-step explanation:

Area of a circle= πr²

r= 3

π= 3.14

A= (3.14)(3)²

A= 28.26 in²

Jordan is flying a kite, which gets caught in the top of a tree. The angle of elevation made by the string on the ground is 44 degrees. The distance from the bottom of the string to the base of three is 90 feet. What is the height of the tree​

Answers

Answer:

87 Feet

Step-by-step explanation:

It's been a while since I used trigonometry, but here is what I got.

We know that 44 degrees in the angle from the string to the base of the ground.

We also know that the length from that angle to the base of the tree is 90 feet.

So using the SOH, CAH, TOA rule we know that to figure out the opposite side (x) length using the adjacent side (90) length we need to use tangent of 44 degrees.

The equation should be tan(44°) = x/90

Tan(44°)=0.96589

Now you multiply that number by 90 to find x.

Hope that helped, let me know if it did or not.

A 7-kg bag of apple for $10 ________ per kg

Answers

Answer:

10/7= $1.43 per kg

...........

0.7 kg = $1

7 kg - $10

? kg - $1

7 / 10 = 0.7

0.7 kg = $1

Let me know if I did something wrong :)

What is the value of n

Answers

Answer: n=10
Explanation: sin(30°)=n/20 multiply 20 to sin(30°) and you get 10

You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.

Answers

Answer:

The expected rate of return is 6.3%.

The standard deviation is of 11.29%.

Step-by-step explanation:

Expected rate of return

Multiply each rate by its probability. So

[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]

The expected rate of return is 6.3%.

Standard deviation:

Square root of the difference squared between each value and the mean, multiplied by the probability. So

[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]

The standard deviation is of 11.29%.

Using Postulates and/or Theorems learned in Unit 1, determine whether PRQ MRN.
Show all your work and explain why the triangles are similar or why they are not
Please help and give a good explanation

Answers

Answer:

RM / RP = 10/18 = 5/9

RN/RQ = 7/21 = 1/3

Since the two ratios are not the same, triangle PRQ is not similar to triangle MRN.

Step-by-step explanation:

The triangles PRQ and MRN are not similar.

Similar triangles:

Triangles are similar if their corresponding angles are congruent and the corresponding sides are in proportion.

This means the ratio of there corresponding sides must be equal. The corresponding angles must be the same . Therefore, the following rules must apply:

∠R = ∠R

∠Q = ∠N

∠P = ∠M

The following proportion rule must apply below:

PR / MR = RQ / RN = PQ / MN

18 / 10 = 21 / 7

9 : 5 ≠ 3 : 1

Therefore, the triangles are not similar

learn more on similar triangles here: https://brainly.com/question/10810713

Y=x+3
2x+y=-6
Find the solution :

Answers

Answer:

Your solution is (-3,0)

Step-by-step explanation:

Hi,

We know what Y is, so we can plug it into the second equation.

2x + y = -6

2x + (x + 3) = -6

Now, add the like terms...

3x + 3 = -6

3x = -9

x = -3

Now, plug x back in to find y.

y = x + 3

y = (-3) + 3

y = 0

Your solution is (-3,0)

Hope this helps :)

You are going to visit your aunt who lives 25 miles away . You have already traveled 7.7 miles. What percentage of the trip is still ahead of you?

Answers

The percentage of the trip that is still ahead of you is 69.2%.

What is the percentage?

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

You are going to visit your aunt who lives 25 miles away. You have already traveled 7.7 miles.

The percentage of the trip that is still ahead of you is calculated as,

P = [(25 - 7.7) / 25] x 100

P = (17.3 / 25) x 100

P = 0.692 x 100

P = 69.2%

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 118 miles in a day. Round your answer to four decimal places.

Answers

Answer:

0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day.

This means that [tex]\mu = 90, \sigma = 36[/tex]

Find the probability that a truck drives less than 118 miles in a day.

This is the pvalue of Z when X = 118. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{118 - 90}{36}[/tex]

[tex]Z = 0.78[/tex]

[tex]Z = 0.78[/tex] has a pvalue of 0.7823

0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.

-X-6
constant.
coefficient:
variable

Answers

Answer:

constant: -6

Coefficient: -1

Variable: x

Step-by-step explanation:

PLS HELP ME OUT WITH THIS
Student A: 78, 99, 80, 85, 95, 79, 85, 96
Student B: 100, 80, 79, 75, 92, 93, 75, 78, 84

Student A Mean:

Student A Mean Absolute Deviation:

Student B Mean:

Student B Mean Absolute Deviation:

Answers

Student A Mean:

(78 + 99 + 80 + 85 + 95 + 79 + 85 + 96)/8 = 87.125

Student A Mean Absolute Deviation: 7.15625

Student B Mean:

(100+ 80+ 79+75+92+ 93+75+ 78+ 84) / 9 = 84

Student B Mean Absolute Deviation: 7.33

You move right 3 units. You end at (5, 2). Where did you start?

Answers

Answer:

8,2

Step-by-step explanation:

ANSWER:
You started at (2,2)

EXPLANATION:
you subtract the 5 by 3 because moving to the right affects the x axis, and (x,y), so the 5 is what is being affected

g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)

Answers

Answer:

0.0062 = 0.62% probability that the sample mean is less than $650.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of $675 and a standard deviation of $80.

This means that [tex]\mu = 675, \sigma = 80[/tex]

A random sample of 64 families in this city paying for childcare is selected.

This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]

Find the probability that the sample mean is less than $650.

This is the pvalue of Z when X = 650.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{650 - 675}{10}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

0.0062 = 0.62% probability that the sample mean is less than $650.

The probability that the sample mean is less than $650 is 0.62%.

The z score is given by:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]

From the normal distribution table:

P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%

The probability that the sample mean is less than $650 is 0.62%.

Find out more at: https://brainly.com/question/15016913

6/15=3/x
HELPP PLEASE

Answers

Answer:

15/2 or 7.5 :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{6}{15} = \frac{3}{x}[/tex]

simply cross multiply

[tex]6x = 45[/tex]

divide both sides by 6

[tex]\frac{6x}{6} = \frac{45}{6}[/tex]

hence x will be equal to [tex]7.5[/tex]

Is it required to for it to be in decimals?

Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?

A-5
B-6
C-7
D-8
E-9

Answers

Answer: E) 9

Step-by-step explanation:

1.12/4 = 0.28

2.52/0.28 = 9

Answer:

9

Step-by-step explanation:

To find how much each apple costs, you have to divide the price by how many apples he brought.

1.12/4 = 0.28

Each apple costs $0.28

Now, you have to divide 2.52 by 0.28.

2.52/0.28 = 9

He can buy 9 apples at the same price with $2.52.

PLEASE HELP DUE IN 3 minutes

Answers

Answer:

Answer is B

Step-by-step explanation:

12x+6n-36 in standard form

Answers

6n+12x-36 . hope this helps

The answers please. Don’t know how to do #1

Answers

Your correct. It is what you put down

Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)

Answers

here you go! hopefully this helps :))

For each of the following coordinate
pairs, write the Quadrant where they would
be located. You do not have to use Roman
numerals.

(-3, 2) Quadrant ?
(-6, -8) Quadrant ?
(4, 10) Quadrant ?
(9,-5) Quadrant ?

Answers

4, 3, 1, 2 are the answers

Cayle the cat 3.1.4 Suppose I am conducting a test of significance where the null hypothesis is my cat Cayle will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that she will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.002. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals

Answers

Answer: hello the options related to your question is missing attached below are the missing options

answer : Neither the 95% nor the 99% intervals will contain 0.25  ( B )

Step-by-step explanation:

Given that ;

H0 : = 0.25

Ha : ≠ 0.25

p-value = 0.002

also 95% and 99% confidence intervals are constructed

p value = 0.002        i.e. < 0.01  ∝ < 0.05 ∝

This means that we reject null hypothesis in both cases when  (∝ =0.05 and ∝ = 0.01 )

Hence The true statement about my confidence intervals is :

Neither the 95% nor the 99% intervals will contain 0.25

Find the equation of the linear function represented by the table below in slope-
intercept form.

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

slope:

11 - (-1) / 2 - (-2) = 12/4 = 3

slope intercept form is y = mx + b, so right now you have m = 3:

y = 3x + b

now, since you know x = -2 and y =-1 is a solution, you can plug those values in:

-1 = 3 * -2 + b

-1 = -6 + b

5 = b

This means the equation is y = 3x + 5

Other Questions
PLEASE HELP ITS DUE IN AN HOUR!!!!!! Write an equation in point-slope form of the line that passes through the point (5, 1) and has a slope of -3 please i will give you brainly -1,89 I need step by step How do i find surface area of a triangler prisim Which form of water is not considered as a resource? A) groundwater B) glacial ice C) ocean water D) water vapor E) surface water About the FBI Have you ever wanted to work for the FBI? Here is a little history on the Federal Bureau of Investigation. The FBI started in 1908. It was known as the Bureau of Investigation then. On July 26, 1908, the Attorney General selected ten Special Agents of the Bureau of Investigation. They were called the Special Agent Task Force. In 1933, the Bureaus name was changed to the Division of Investigation. It was changed again in 1935 to the Federal Bureau of Investigation. It is known as that today. All agents carry a special wallet that has their picture in it. They use this wallet to identify themselves to people when they are working. It is called a credential. There are two different kinds of credentials. They change depending on which division in the FBI you work in and your rank as an agent. The FBI has changed what they investigate as the times have changed. In 1908, there were different crimes than the crimes that exist today. Also, there were fewer types of crimes than today. A good example of this is car theft. In 1908, almost no one had a car. As more people bought cars, the number of car thefts increased. Many years ago, the FBI investigated crimes like bank robbery, kidnapping, and car thefts that go across state lines. Today, there are over 350 violations of the law that the FBI investigates. The different violations are broken down into several categories. The FBI looks into violent crime, organized crime, white collar crime, terrorism, foreign counterintelligence, civil rights, and applicant matters. The FBI has many ways of solving those crimes and finding the criminals. One of them is through fingerprint identification. Fingerprints are a great way to tell people apart because everyones fingerprints are unique. This means that no two people in the world have the same fingerprints! Other ways of identifying people, like hair color, height, and weight, may change as a person gets older. Fingerprints stay the same no matter what. There are over 250 million sets of fingerprint records on file. If all the fingerprint cards on file were stacked on top of one another, they would equal 133 stacks, each the size of the Empire State Building! Finding space to keep all of these fingerprint cards is difficult. This is one of the reasons the FBI is now putting cards in a digital format. That means the images can be stored on computers. All fingerprint cards at the FBI are eight-inch squares, a little smaller than a piece of notebook paper, and are thinner than a piece of cardboard. The FBI gets over 37,000 of these fingerprint cards every day, seven days a week! 32% of these cards now come to the FBI as digital images. Not all fingerprint cards on file are of criminals. Some records are civil prints. Civil prints are taken of people who work for the government or apply for a job with the government. Still interested in being an agent? Check out the FBIs official website for more information: www.fbi.gov.What was one effect of more people owning cars? A. People did not want to steal cars anymore. B. The FBI stopped driving cars to work. C. The FBI did not do any more fingerprints. D. The FBI investigated more car thefts.It's D Brainliest for correct answer :) Describe the (red cross) agencys networking system. Radiation from which type of decay has the most energy?A. Alpha decayB. Electromagnetic decayC. Beta decayD. Gamma decayPls answer quick look at the photo due soon What is 5/3s+19/15= -3/5? 7. How did World War II impact the economy of the United States? | Help please pleaseee calculate the percentage mass of oxgen in water, H2O Simplify:-3/8+ (-1/4) name one scp and tell me what it does Help plzzzzzzxhshshxyxush Please help !!!!!!!!!!! The base of the pyramid is a right triangleThe volume is ____ cubic cm. are Equilateral triangles always acute triangles.