A tabletop in the shape of a trapezoid has an area of 5029 square cenimeters. Its longer base measures 123 cenimeters, and the shorter base is 65 cenimeters. What is the height?​

Answers

Answer 1

Answer:

Length of height = 53.5 cm

Step-by-step explanation:

Given:

Area of trapezoid = 5,029 cm²

Length of longer base = 123 cm

Length of shorter base = 65 cm

Find:

Length of height

Computation:

Area of trapezoid = [(a+b)/2]h

5,029 = [(123 + 65)/2]h

5,029 = [(188)/2]h

5,029 = [94]h

Length of height = 53.5 cm


Related Questions

Please help! Also how do you know?

Answers

Answer:

A. All four sides must be congruent.

Step-by-step explanation:

A quadrilateral has four sides. A rhombus has four equal sides, which are congruent. The angles can be different. It doesn't have four lines of symmetry. One triangles sums to 180 degrees not 4. 4 triangles would sum up to 720 degrees

We wish to analyze the temperature during summer months for the northeaster part of the US proportion or mean

Answers

Answer:That would be mean

The mean is the average number. To get the average number you add up all of the numbers, then divide by how many numbers there are.

8.)
1 point
Does (0,7) make the equation y = 3x + -7 true?

Answers

Answer:

YES

Step-by-step explanation:

The 7 in (0,7) is the y-intercept given in the equation y = 3x + 7

The following triangle is equilaterial triangle. Solve for the unknown variable.

Answers

Answer:

d

Step-by-step explanation:

Since the triangle is equilateral then the 3 sides are congruent, then

2x = 6 ( divide both sides by 2 )

x = 3

and

3y = 6 ( divide both sides by 3 )

y = 2

Thus x = 3 and y = 2 → d

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level. What expression shows how much farther Adam can see to the horizon? In simplest terms, Adam can see a√b feet farther than Pam.

Answers

Answer:

B

A=2

B=6

Step-by-step explanation:

The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Calculation of the expression:

Since

Pam's eye–level height is 256 feet above sea level and Adam's eye–level height is 400 feet above sea level.

So here the expression be like The expression that shows how much farther Adam can see to the horizon should be considered as the d = 400 - 256 and d = 256 - 400.

Learn more about an expression here: https://brainly.com/question/4700495

I need help I'm confused

Answers

(4x+27) = (16x-21)
12x = 6
so x = 2
then you just add the 2 into where the x is placed

If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?

Answers

Answer:

108 cubic units

Step-by-step explanation:

If X = 2 units, Y = 9 units, and Z = 6 units, then what is the volume of the rectangular prism shown above?

Volume of a rectangular prism XYZ = Length × Width × Height

= 2 unit × 9 unit × 6 unit

= 108 cubic units

can i please get some help

Answers

Answer: x=0

Step-by-step explanation: This is number 9

12=-4(-6x-3)

-4(-6x-3)=12

-4(-6x-3)/-4=12/-4

-6x-3=-3

-6x-3+3=-3+3

-6x/-6=0/-6

x=0

Convert 7x - y = -9 to slope-intercept form. Simplify your answer.

Answers

It’s y = 7x + 9 in slope intercept form

7x - y = -9
-y = -9 - 7x
y = 9 +7x
y = 7x + 9

The equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

Equation of a line in Slope-intercept Form

If "m" is the slope of a line and "b" is the y-intercept, the equation of the line in slope-intercept form is given as: y = mx + b.

Thus, given the equation, 7x - y = -9, rewrite/convert to slope-intercept form as follows:

7x - y = -9

-y = -7x - 9

Divide both sides by -1

y = 7x + 9

Therefore, the equation of a line, 7x - y = -9, converted to slope-intercept form is: y = 7x + 9

Learn more about slope-intercept form on:

https://brainly.com/question/4074386

Plsssss help me this is urgent.
Which tank has the greater volume?
Tank A has a diameter of 10 ft and a height of 3 ft. Tank B has a diameter of 6 ft and a height of 8 ft

A.Tank B has a greater volume.

B.Tank A and Tank B have the same volume.

C.Tank A has a greater volume

Answers

Tank A has a greater volume.

A castle has to be guarded 24 hours a day. 7 nights are ordered to split each day guard duty equally. How long will each night spend on guard duty in one day?

Answers

Answer:

3.43 hours

Step-by-step explanation:

A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day guard duty equally. How long will each knight spend on guard duty in one day?

From the above question:

7 knights = 24 hours

1 knight = x hours

Cross Multiply

7 knights × x hours = 1 knight × 24 hours

x hours = 1 knight × 24 hours/ 7 knights

x hours = 3.4285714286 hours

Approximately = 3.43 hours

Therefore, each knight would spend 3.43 hours on guard duty in one day

The circumference of the
wheel on Beyoncé's bicycle
is 63 inches. What is the
diameter of the bicycle
wheel to the nearest inch?
Use 3.14 for a.

Answers

To the nearest inch it'll be

d×3.14=63

= 20 inches

ridiculous a s s s questions​

Answers

An enzyme is a type of protein found within a cell. Enzymes create chemical reactions in the body. They actually speed up the rate of a chemical reaction to help support life. The enzymes in your body help to perform very important tasks.

what is the slope and y-intercept to -3x + y = 1

Answers

Answer:

Slope = 3

Y intercept = 1

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept.

So in your question

-3x+y=1

add 3x to each side to get

y = 3x+1

3 is m

1 is b

so the slope is 3

the y intecept is 1

1. TEMPERATURE Suppose the temperature
outside is dropping 3 degrees each
hour. How much will the temperature
drop in 8 hour?

Answers

it’ll drop by 24 degrees in 8 hours
3x8=24

Enter your solution without units below. 5cm 5cm 4cm 12cm 6cm

Answers

Answer: if ur looking 4 the surface area, then its 216 cm2.

Step-by-step explanation:

a= 1/2 b h

a= 1/2 (6) (4)

a= 12

12x2=24

a=lw

a= 12(5)

a= 60

60x2= 120

a=lw

a= 6(12)

a= 72

24+72+120= 216

welppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

They are all acute triangles or iscoles triangles

Step-by-step explanation:

A rectangular wall is 4x-5 units high and 2x+7 units long. Which polynomial best represents the area of the wall in square units?

Answers

Answer:

8x^2 + 18x - 35.

Step-by-step explanation:

Area = (4x - 5)(2x + 7)

= 8x^2 + 28x - 10x - 35

= 8x^2 + 18x - 35.

Take a factor out of the square root:

Answers

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

You flip a coin 30 times, about how many times would you expect to tails to appear?

Answers

Answer:

15 heads out of 30

Step-by-step explanation:

The total number of possible sequences of coin flips can be determined by raising the number of outcomes, which is 2 for any coin (heads or tails), to the power of the number of times the coin is flipped, given by the question as 30. Therefore,  230  is the total number of different sequences for 30 coin flips.

We can use combinatorial math to find the number of sequences with exactly 15 heads, which is 30 choose 15 or  (3015) . The probability we are looking for will be the number of sequences with 15 heads divided by the total possible sequences.

Now we can express the whole probability in math notation, and calculate an answer (rounded to 4 decimal places):

(3015)230=1551175201073741824≈0.1445≈14.45%

15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on. If you graphed all of the outcomes, you will find it follows a normal distribution, or Bell curve, with the outcome of 15 heads, located at the peak.

If the coin is tossed 30 times then the expected value of the tails to appear is 15 which means tails will appear 15 times.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

The expected value and variance of X are:

[tex]E(X) = np\\[/tex]

You flip a coin 30 times then the expected value will be

The probability of getting tails is 0.5 then the expected value will be

[tex]E(X) = 0.5 \times 30\\\\E(X) = 15\\[/tex]

Learn more about binomial distribution here:

https://brainly.com/question/13609688

11. What is the value of x?
X
X-
2
x + 5
x + 1

Answers

da - x+5

Explicación

cualquier expresión multiplicada por 1 es igual a si mismo

x-2x+s

agrupe los términos semejantes

-x+5

Find the points of intersection of the circles.

Answers

Answer:

D. (5,0) and (5,10)

Step-by-step explanation:

Find the product. Express your answer as a mixed number in simplest form.

2 1/6 × 4 1/2

Answers

Answer: 1 1/2, 3/2, or 1.5

Step-by-step explanation: Convert expression into unproper fractions, 13/6, and 9/2. Then by changing 13/6 into a denominator with 2, you multiply and it equals 1 1/2.

100 POINTS, MAHNIFIA PLEASE ANSWER!
SCAMMERS WILL NOT BE TOLERATED!

Answers

Answer:

- 3.4(21) = - 71.4

(- 2.3)(- 7.9) = 18.17

9.24 ÷ - 7 = -1.32

(- 8.5) ÷ (- 3.4) = 2.5

- 6.85 ÷ 0.5 = - 13.7

One jar has 13 pennies, a second jar has 7 pennies, a 3rd jar has 10 pennies, and a 4th jar has 30 pennies. On average how many pennies does each
jar have?

Answers

Answer:

60

Step-by-step explanation:

13+7=20  20=10=30  30+30= 60

Hope this helps!

Answer:15

Step-by-step explanation:

sorry this isn’t in text form… But thank you if you’re willing to provide help!

Answers

Answer:

Blank 1: y=3x+10

Blank 2: y= 40

Step-by-step explanation:

Let the cost of gift wrap be y and the number of gifts be x.

Department

An upfront fee of $10 means that Mr Bentley needs to pay $10 first, and this $10 is only paid once on top of the cost of wrapping each gift.

y= 3x +10

Niece

A flat fee of $40 means that no matter how many gifts the niece wraps, Mr Bentley only pays $40.

y= 40

To find out when the two plans cost the same, equate the two equations together. Then, solve for x.

3x +10= 40

3x= 40 -10 (-10 on both sides)

3x= 30

x= 30 ÷3

x= 10

Thus when Mr Bentley has 10 gifts to be wrapped, the 2 plans costs the same.

4.
Your math test has 38 questions and is worth 200 points. The test consists
of multiple-choice questions worth 4 points each and open-ended questions
worth 20 points each. How many of each type of question are there?

... please solve this using if systems of equations

Answers

Answer:

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Step-by-step explanation:

Let

Number of multiple-choice questions = x

Number of open-ended questions = y

x + y = 38 (1)

4x + 20y = 200 (2)

From (1)

x = 38 - y

Substitute x = 38 - y into (2)

4x + 20y = 200

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

y = 48/16

y = 3

Substitute y = 3 into (1)

x + y = 38

x + 3 = 38

x = 38 - 3

x = 35

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

What is 1/12 divided by 36

Answers

Answer:

link to answer

https://visualfractions.com/calculator/divide-fractions/what-is-1-12-divided-by-36-36/

Answer:

This is 0.002 but I think you mean

36 divided by 1/12=

3

Can anyone help me out?????

Answers

Answer:

30

Step-by-step explanation:

12×5=60 60÷1/2=30

srry if I was wrong

12×5=60 60÷1/2=30 i hope it's right!! :)

the length of a rectangle is 7 cm more than its width and the area is 30 cm find the length, width and the perimeter

Answers

Answer:

Step-by-step explanation:

let width=x

length=x+7

x(x+7)=30

x²+7x-30=0

x²+10x-3x-30=0

x(x+10)-3(x+10)=0

(x+10)(x-3)=0

either x=-10 (rejected being negative)

or x=3

width=3 cm

length=3+7=10 cm

Perimeter=2(10+3)=2×13=26 cm

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