What is the height of the trapezoid?

What Is The Height Of The Trapezoid?

Answers

Answer 1

Answer:

  11 units

Step-by-step explanation:

The height of a trapezoid is the distance between the parallel bases.

__

Here, one base lies on the horizontal line y=5, and the other lies on the horizontal line y = -6. The distance between them is ...

  5 -(-6) = 5 +6 = 11

You can also find this distance by counting the grid squares between the two parallel lines.

The height of the trapezoid is 11 units.

_____

Additional comment

The base lengths are ...

  AB = 2 -(-5) = 7

  CD = 8 -(-7) = 15

The area is 1/2(b1 +b2)h = (1/2)(7 +15)(11) = 121 square units.


Related Questions

In slope-intercept form, write the equation of the line parallel to y=3x+4 that passes through (−5, 8).

y=_x+_
fill in the blanks

Answers

Answer:

y = 3x+13

Step-by-step explanation:

I would like to ask you if you know how to differentiate an equation to get a slope ?. I always use calculus to get a slope. The slope i found was 3 so i used y-y1 = m(x-x1) formula.

Answer:   y = 3x+13

Step-by-step explanation:

The slope i found was 3 so i used y-y1 = m(x-x1) formula.

Select the correct answer.
E
B
2
7
B
C
0
b D
Polygon ABCDE is reflected to produce polygon ABCDE. What is the equation for the line of reflection?
ОА У-0
OB. X=0
OC x=2
OD. y=1

Answers

Answer:

B. x = 0

Step-by-step explanation:

we notice that a point and it’s image have the same y-coordinate and opposite x-coordinates

Example :

A(-2 , 2) is a point and A(2 , 2) it’s image by the reflection

[tex]y_{A}=2=y_{A^{\prime }}[/tex]

[tex]x_{A}=-2=-x_{A^{\prime }}[/tex]

Then the reflection is across the y-axis

Or The equation of the y-axis is  x = 0

Lillian and Mackenzie clean rooms at a hotel. Today, they cleaned the same number of rooms, but Mackenzie worked fewer hours. Tomorrow, their shifts are the same length. Who will likely clean more rooms?

Answers

Answer:Mackenzie

Step-by-step explanation:

Answer:

Step-by-step explanation:

Mackenzie

A family buys a studio apartment for $240,000. They pay a down payment of $48,000.
a. Their down payment is what percent of the purchase price?
b. What percent of the purchase price would an $84,000 down payment be?
a. The down payment is
(Type a whole number.)
% of the purchase price.

Answers

Answer:

A. 20%  B. 35%

Step-by-step explanation:

a. (48,000 divided by 240,000) x 100 = 20

B. (84,000 divided by 240,000) x 100 = 35

A lion can run at a speed of 1.43 kilometers per minute. How fast can the lion run in miles per hour

Answers

The loin's speed in miles per hour will be 53.31 miles per hour.

What is velocity?

Velocity is defined as the ratio of the distance moved by the object at a particular time. The velocity is a vector quantity so it needs both the magnitude and the direction.

It is given that:-

lion can run at a speed of 1.43 kilometres per minute.How fast can the lion run in miles per hour

Now to find the speed of a lion in miles per hour we have the following relationship.

[tex]1\ \ \ \dfrac{KM}{min} \ = \ 37.28\ \ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1\ \ \ \dfrac{KM}{min} \ \times 1.43\ = \ 37.28 \times 1.43\ \ \ \dfrac{Miles }{hour}[/tex]

[tex]1.43\ \ \ \dfrac{KM}{min} \ = \ 53.3\ \ \dfrac{Miles }{hour}[/tex]

Therefore the loin's speed in miles per hour will be 53.31 miles per hour.

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Estimate the value of

Answers

Answer:

The given equation results in 1.98, so the answer is D) 2

✏ [tex]\sf Solve[/tex]

[tex]\sqrt{2} = 1.41\\\\1.41 * 3.14 = 4.4274\\\\\sqrt{5} = 2.23\\\\\frac{4.4274}{2.23} = 1.98[/tex]

rewrite! Write an new and equivalent equation that is easier to solve

Answers

[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]

[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]

we will multiply 7 with bracket

[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]

Now we will take (-21) on LHS to RHS

[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]

Now we will do squaring both sides

[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{\sqrt{m+1} - 3)=\frac{21}{7}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=3}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{\sqrt{m+1} =6}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Get the power of 2 in both sides.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{( \sqrt{m + 1})^2 = 6^2}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{m+1=36}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{m=35}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

So the answer is m = 35

Convert from radians to degrees. Use pi = 3.14. Round your answer to the nearest tenth of a degree.

1.4 radians = _____

A. 80.3*

B. 25.7*

C. 40.1*

D. 15*

E. 131.8*

Need an answer STAT. Please :( I’ll give brainliest Fr

Answers

[tex]1.4 ~ \text{Radians}\\\\=\left( 1.4 \times \dfrac{180}{\pi}\right)^{\circ}\\\\=\left( \dfrac{252}{3.14}\right)^{\circ}\\\\=(80.3)^{\circ}[/tex]

[tex]\text{Hence the answer is A.}[/tex]

i need help with 7th grade math please need help ASAP + brainleist

Answers

Answer:

Area : π mm²

Circumference : 2π mm

Step-by-step explanation:

Finding area :

πr²π x 1²π mm²

Finding circumference :

2πr2 x π x 12π mm

Comedy Drama Action Horror
Day 1 5 7 3 1
Day 2 2 11 4 5

5. Based on the above chart, which conclusion can be drawn from the data?

a. Horror is the most popular genre.
b. Drama is the most popular genre.
c. People like comedies because they like to laugh.
d. People don’t like horror movies because they don’t like to be scared.

Answers

Answer:

B. Drama is the most popular genre

Step-by-step explanation:

Day 1:

⇒ Comedy: 5

    Drama: 7

    Action: 3

    Horror: 1

Day 2:

⇒ Comedy: 2

    Drama: 11

    Action: 4

    Horror: 5

With this information we can start ruling out our answer choices.

A. horror is the most popular genre

Lets see, both of the sum of both days for Horror is 6, for Action is 7, Drama is 18, and Comedy is 7, with this we can conclude that horror is actually the least popular genre

B. Drama is the most popular genre

Using the information we gathered previously, we know Drama is the most popular genre, therefore this option is a high possibility.

C. People like comedies because they like to laugh

Although, I personally love comedies for this reason, this chart does not prove that people like comedies for this reason.

D. People don't like horror movies because they don't like to be scared

As for option C, the chart does not prove that is the case!

Therefore we can conclude that option B is the best choice.

Solve the system of equations.
y=x²-5
y= -2x+3
A. (-2, 7) and (4,-5)
OB. (-4, 11) and (2, -1)
OC. (2,-1) and (4,-5)
OD. (-4, 11) and (-2,7)

Answers

[tex]y= x^2 -5~~~~~~...(i)\\\\y = -2x +3~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~~~x^2 -5 = -2x+3\\\\\implies x^2 -5 +2x -3 = 0\\\\\implies x^2 +2x -8 = 0 \\\\\implies x^2 +4x -2x -8 = 0\\\\\implies x(x+4) -2(x+4) = 0\\\\\implies ( x+4)(x-2) = 0\\ \\\implies x = -4,~ x = 2\\\\\text{Substitute x = 2 in eq (ii)}:\\\\y = -2(2) +3 = -4 +3 = -1\\\\\text{Substitute}~ x = -4 ~\text{in eq (ii)}:\\\\y = -2(-4) +3 = 8 +3 = 11\\\\\text{So,} ~(x, y)=\{(2,-1), (-4,11) \}\\\\\text{Hence the answer is option B.}[/tex]

Sum and Difference Identities
Find the value of the expression.
cos(-pi/12)
What would -pi/12 be the sum or difference of?

Answers

Notice that

1/6 - 1/4 = -1/12

Then

cos(-π/12) = cos(π/6 - π/4)

cos(-π/12) = cos(π/6) cos(π/4) + sin(π/6) sin(π/4)

cos(-π/12) = (√3/2) (1/√2) + (1/2) (1/√2)

cos(-π/12) = (√6 + √2)/4


Between which x-values and y-values does the cluster lie

Answers

Answer:

See below ~

Step-by-step explanation:

x-values :

Lowest : 2Highest : 10Lies between 2 and 10

y-values :

Lowest = 4Highest = 11Lies between 4 and 11

Answer:B

Step-by-step explanation: The cluster is the 5 points in the bottom right corner or; between x-values 8 and 10 and y-values 4 and 6.

Use the box plots comparing the number of boy dogs and number of girl dogs attending doggy daycare each day for a month to answer the questions.

Answers

The boxplots 1 and 2 represent the distribution of data using a five number summary for the male and the female attendance

(a) The IQR of the male's data

The first box plot represents the male's boxplot.

So, we have:

Upper quartile (Q3) = 14Lower quartile (Q1) = 2

The IQR is the difference between the above values

IQR = Q3 - Q1

So, we have:

IQR = 14 - 2 = 12

So: the IQR for the males' data is 12

(b) The difference in the median values

From the first and second boxplots, we have:

Median male = 10Median female = 18

The difference (d) between these values is

d = 18 - 10

d = 8

So: the difference between the median values of each data set is 8

(c) The distribution of data

This is dependent on whether the dataset has an outlier or not.

From the figure, we have:

Male's data: presence of an outlier - use medianFemale's data: absence of an outlier - use mean

So: the male dataset is measured by median, while the mean is a better measure of center for the female's data

(d) Reason for outliers

A possible reason for outliers is sampling problems

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Answer:

I took the test but my quewstion was a little different sorry

How many helmets must the company make and sell to break even? helmets

Answers

Answer: 600

Step-by-step explanation: i took test and got it right

Answer: 600

Step-by-step explanation:

Select all of the values of x that make the inequality -x+6= or grater than 10
true.

Answers

Answer:

2/5

1

3/2

Step-by-step explanation:

Note that:

> = Greater than

< = Less than

≤ = Less than or equal to

≥ = Greater than or equal to

Solution:

Since it given that 27/7n > 4/3

It means that

27/7n is greater than 4/3.

Now going through all answer choices:

----------------------------------------------------------------------------------------------------------

27/7(2/5) = 1 19/35

1 19/35 is greater than 4/3

Thus, 2/5 is true.

----------------------------------------------------------------------------------------------------------

27/7(1/3) = 1 2/7

1 2/7 isn't greater than 4/3

Thus, 1/3 is false.

----------------------------------------------------------------------------------------------------------

27/7(1) = 3 6/7

3 6/7 is greater than 4/3

Thus, 1 is true.

----------------------------------------------------------------------------------------------------------

27/7(2/9) = 6/7

6/7 isn't greater than 4/3

Thus, 2/9 is false.

----------------------------------------------------------------------------------------------------------

27/7(3/2)=5 11/14

5 11/14 is greater than 4/3

Thus, 3/2 is true.

----------------------------------------------------------------------------------------------------------

[Matthew1756654]

Yellow Bird launches from point (10,0). His flight path reaches a maximum height of 22 yards and lands at point (42, 0).

Answers

The Equation for the launch of the yellow bird is y = -0.1( x - 26 )² + 20

what will be the equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values

Given:

Starting position of the bird = ( 10 , 0 )

Final position of the bird = ( 42 , 0 )

Maximum Height of the bird = 20 yards

To find: Equation that represent this condition.

Clearly, Birds flight path is not a straight line. It has a curved path.

So, the path bird follow is a PARABOLA.

Standard Equation of the parabola in vertex form, y = a( x - h )² + k

where ( h , k ) is the vertex of the parabola.

In our Question , vertex is the point at the highest position.

Vertex will be 20 yard above the mid point of the starting and final position.

Using Mid-Point Formula,

Mid-Point of ( 10 , 0 ) & ( 42 , 0 ) =

Now, the vertex = ( 26 , 0 + 20 ) = ( 26 , 20 )

⇒ Equation, y = a( x - 26 )² + 20

Now, we find value of by substituting value of (10 , 0) in the equation,

⇒ 0 = a( 10 - 26 )² + 20

a( -16 )² = -20

a(256) = -20

a = -20/256

a = −0.078125

a ≈ -0.1

Therefore, The Equation is y = -0.1( x - 26 )² + 20

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James sees a truck at the dealership for $50,000
base price, $1,400 premium interior, $1,700
navigation touch-screen, and $2,200 smart
traffic sensors. If his current vehicle is worth
$5,000 and he's offered a 80% trade-in rate,
what is the total cost of the car after the $1,200
destination fee?
A. $41,900
B. $52,500
C. $51,500
D. $56,500

Answers

The total cost of the car after the $1,200 destination fee is B. $52,500.

How to calculate the total cost?

To calculate the total cost of the car after the trade-in rate and the destination fee, we shall subtract the trade-in value from the total price of the new car, and then add the destination fee.

Given:

Base price of the car = $50,000

Premium interior = $1,400

Navigation touch-screen = $1,700

Smart traffic sensors = $2,200

Total price before the trade-in

= $50,000 + $1,400 + $1,700 + $2,200 = $55,300.

The trade-in rate = 80% of the trade-in value, which is $5,000.

So, the trade-in value = 80% * $5,000 = $4,000.

Subtract the trade-in value from the total price:

$55,300 - $4,000 = $51,300.

Finally, add the destination fee of $1,200 to the destination fee:

Total cost of the car = $51,300 + $1,200

= $52,500.

Therefore, the total cost of the car after the $1,200 destination fee is $52,500.

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30% tip on a bill of $150.47

Answers

Answer:

45.141 or if you round 45.14

Step-by-step explanation:

150.47 x 0.30 = 45.141

10 POINTS PLEASE HELP

Answers

Answer:

m∠A = 49°

Step-by-step explanation:

According to Angle Sum Property,

angles of the Δ add up to 180°∠A + ∠B + ∠D = 180°5x - 6 + 7x - 24 + 78 = 18012x + 48 = 180x + 4 = 15x = 11

m∠A

5x - 65(11) - 655 - 649°

Solve for X, will mark brainliest if right

Answers

Answer:

x = 8

Step-by-step explanation:

The sides are in proportion.

[tex]\frac{RG}{FG} =\frac{SH}{FH}[/tex]40 / 7x + 14 = 44 / 33 + 4440 / 7x + 14 = 44/77 = 4/740(7) = 4(7x + 14)280 = 28x + 5610 = x + 2x = 8

units and Lino Plots
More
Bags of Oranges
х
Jordan fills several bags with oranges. This line plot
shows the weight of each bag.
How many more pounds does one of the heaviest
bags weigh than one of the lightest bags?
Enter your answer as a mixed number by filling in the
boxes.
х
х
х
х
х
х
х
х
xx
xx
X X
X X
X X X
х
х
х
х
х
х
х
х
X
8
8
4 44 45 46 45 5 5 5 5 5
55 55
Weight (lb)
Ib
1
2
3
4
4
5
6
1

Answers

Answer:

1 1/8 or 9/8

Step-by-step explanation:

5 1/2 - 4 3/8 = 1/ 1/8

3. Can you form a right triangle with the three lengths given? Why or why not?
4 m, 6 m, 7 m
Oyes; 42 +6² * 7²
no; 4 + 6 # 7
yes; 4 + 6 = 7
Ono; 4² +62 * 7²

Answers

Answer:

No

Step-by-step explanation:

To get if values can create a right angled triangle use the pythogras theory a squared plus b squared equals c squared

So in this case 4 squared plus 6 squared don't equal to 7 squared

a number minus 4 is less than thirteen

Answers

I would think that for it to be less then thirteen it would either be 12 or 11

What is the volume of the rectangular prism?
Type the answer in the boxes below.

Answers

Answer:

3.75 cubic centimeters

Step-by-step explanation:

1.5*2.5*1 cubic centimeters

Answer:

3/20

Step-by-step explanation:

1/2 x 3/5 x 1/2

L x W x H is the formula

Length x Width x Height

count the squares, they're each 1/2 so multiply the number of squares with 1/2.

For example, the rectangular prism is 3 squares high, which means it's 3/6, and that simplifies to 1/2. Now you have your height. You do the same for the width and length.

Hope this helps <3

2.* Use the slope (m) and y-intercept (b)
to describe the system.
(1) x + y = -1
(2) -x - y=-1
F. Intersecting lines
G. Same lines, m > 0
H. Same lines, m < 0
J. Parallel lines, m > 0
K. Parallel lines, m < 0

Answers

Answer:

the answer is for this particular problem is F

Match the graph with the correct equation.
y-1 = -4(x + 5)
y-1 = -1/4(x + 5)
y+1 = -1/4(x + 5)
y-1 = -1/4(x + 5)

Answers

Your answer is : y+1=-1/4(x+5)

If the area of one circle with radius 7 is 153.86 square units, what's the area of another circle that has a radius of 12 units?

Answers

Answer: 452.16

Step-by-step explanation:

give Brainliest please help​

Answers

Answer:

  (b)  a square

Step-by-step explanation:

It usually works well to plot the points, connect the dots, and assess the nature of the figure.

__

Here the points are on horizontal and vertical lines that are the same distance apart. The figure is a square.

Raj stacked a box that is 24/100 meter tall on top of a box that is 4/10. How tall are the two boxes when stacked

Answers

Answer:

The answer will be 28/110 .

The answer is 24/100 + 4/10 = 24/100 + 40/100 =64/100 metres
Other Questions
please help me. i need answers asap. please correct answers architecture of mesopotamian civilization If cleaning and sanitizing a food surface during production, which type of hygiene are you demonstrating Show what you know: work out the problems below and submit a photo of your work to receive full credit.The Florida A&M Rattlers are decorating campus for homecoming weekend. Students use 3 rolls of orange streamers for every 2 rolls of green streamers for every dorm they decorate.Draw a model that represents the ratio of different colored streamers. Draw a model that shows the number of orange and green streamers needed to decorate 3 dorm rooms. Maritime tropical air masses form over _____ and bring _____ air.a:the ocean , warmb:the ocean ,coolc:land,warmd:land,cool The figure below shows three quadrilaterals on a coordinate grid: A coordinate grid is shown from positive 8 to negative 8 on the x axis and from positive 8 to negative 8 on the y axis. An image of a rectangle labeled M is shown on ordered pair negative 1, negative 1 and negative 3, negative 1 and negative 3, negative 2 and negative 1, negative 2. Another image of a rectangle labeled N is shown on ordered pair negative 2, negative 2 and negative 6, negative 2 and negative 6, negative 4 and negative 2, negative 4. Another image of a rectangle labeled O is shown on ordered pair 1, 1 and 1, 2, and 3 , 2 and 3, 1. Which of the following statements is true about the three quadrilaterals? N and O are similar and congruent. M and N are similar and congruent. M and O are similar but not congruent. M and N are similar but not congruent. Type the correct answer in the box. Use numerals instead of wordsIn circle A. DB has a length 6.47 centimeters. What is m DAB in radians? Round your answer to two decimal places. 2.9 cm B m DAB= radiansI NEED HELP ASAP! help with this question Northern Trail Outfitters held an event for hikers to blaze the trail for the new year. Their marketing team collected over a million new lead records to upload into Salesforce. What is the recommended method for uploading this data Do you agree that the prime minister's powers should be limited? Why/why not? Which equation is y = 9x2 9x 1 rewritten in vertex form? y = 9 (x one-half) squared minus thirteen-fourths y = 9 (x one-half) squared minus 1 y = 9 (x one-half) squared five-fourths y = 9 (x one-half) squared minus five-fourths 50 POINTS PLS ANSWER!!!!In your opinion, is photo manipulation harmful for our society? Why or why not? Most Irish immigrants settled in the WHAT?ONLY SHORT ANSWER!() Choose the sentence that corrects the unclear pronoun.(A) both the teachers and the classes are popular, and the students are experts in their field.(B)both the teachers and the classes are popular, and the students are experts in their field (C)both the teachers and the classes are popular, and both are experts in their field Does milk make you grow taller? whats mean and median of 11, 18, 5, 20, 8, 124, 17? There are too _______ air pollution in our country. It's worrying!*fewlittlemuchmanya few 55.24Find the area of the parallelogram.square units What is the meaning of the wheel flying off the Stagecoach? A proton has a charge , what gives it a charge?