MNOP is trapezium. The distance between MN and PQ is 21cm and MN= 28cm, while PQ= 25cm. Find the area.

Answers

Answer 1

Answer:

556.5 cm²

Step-by-step explanation:

Area of trapezium :

Area = 1/2 (a + b)h

a = base length 1

b = base length 2

h = height

From the information given :

Distance between MN and PQ = Height, h = 21 cm

Base MN, a = 28 cm

Base PQ, b = 25 cm

Hence,

Area = 1/2 (28 + 25) * 21

Area = 1/2 (53) * 21

Area = 556.5 cm²


Related Questions

Nurse Jackson examines immunization records for this past winter at the school where she works. Got flu Didn't get flu Total Vaccinated 120 380 500 Not vaccinated 160 140 300 Total 280 520 800 How many students were not vaccinated and did not get the flu? O A. 300 B. 380 O C. 160 D. 140​

Answers

Answer:

140

Step-by-step explanation:

ap3x

Which shape contains exactly two pairs of parallel lines?

Trapezoid
Rectangle
Equilateral triangle
Acute triangle

Answers

Answer:

Rectangle is the correct answer hope it helps you have a great day keep smiling be happy stay safe ☺️

Answer:  B) Rectangle

A rectangle is a special type of parallelogram. Any parallelogram has two pairs of opposite parallel sides. A rectangle is a parallelogram where all four angles are the same, and all four angles are 90 degrees.

Keep in mind that not all parallelograms are rectangles, but any rectangle is always a parallelogram.

In slight contrast, a trapezoid has exactly one pair of parallel lines, while the other pair of opposite sides are not parallel. Triangles of any kind can be ruled out because they don't have any parallel sides at all.

[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]

Answers

I DONT KNOW LOL PLS STOP CHEATING

Please help with 19 and 20 find domain and range

Answers

19. domain (-infinity, infinity) range (-infinity, approaching but never reaching 3) 20. range (-infinity, infinity) domain (approaching but never reaching 2, infinity)

(Sorry, I forgot to post the graph on the last one) The table below shows the water temperature at certain depths of a lake. Using an logarithmic model, write an equation for the curve of best fit, then estimate the depth of water at a temperature of 50 degrees F.

Answers

Answer:

B

Step-by-step explanation:

Mrk me BRAINLIEST PLZZZZZZZZ

Find the mode of these numbers:
4,4,6,6,2,2,6,2,4,2

Answers

Answer:

Hello! answer: 2

Step-by-step explanation:

The mode is just the number shown the most in the set of numbers so 2 is the mode because 2 is shown the most Hope that helps!

The mode is 2


You can use calculatorsoup.com if you have anyone more questions like this

Find the area of this triangle

Answers

Answer:

6km² sounds like a reasonable answer

Four lines are shown in the graph below.



Which line has the slope with the greatest value?

A
line A

B
line B

C
line C

D
line D

Answers

Answer:

D

Step-by-step explanation:

A vertical line will have the steepest slope

If two triangles are congruent, then all three___and all three___are congruent.

Answers

Answer:

Angles and Sides (or sides and angles, doesn't matter).

Step-by-step explanation:

Congruent triangles all have the same angle measures and side lengths.

Please mark me as brainliest!!!!!!!

If y varies directly as x and y = 64 when x = 16, what is the value of y when x = 12 ?

Answers

Answer:  Y=48

Y is 4 times more than x. If x=12, y=48. Notice in the first part of the question, if you divide 64 by 4, you get 16. This means in order to get your answer, you must mulitiply x by 4 to get y. 12x4=48.

Brainliest please?

                                         XxRoadToAcexX

               

Find the surface area of the ball shown. Use 3.14 for pie.

Radius is 17cm

The ball has a surface area of about ? Cm^2

Answers

Answer:

[tex] \displaystyle S _{ \text{sphere}} =3629.84 {cm}^{2} [/tex]

Step-by-step explanation:

we are given a ball

remember that,a ball is a Sphere

thus,

[tex] \displaystyle S _{ \text{sphere}} = 4\pi {r}^{2} [/tex]

given that, redious is 17 cm

substitute:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times {17}^{2} [/tex]

simplify square:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times \pi \times 289[/tex]

substitute the approximate value of π:

[tex] \displaystyle S _{ \text{sphere}} = 4 \times 3.14 \times 289[/tex]

simplify multiplication:

[tex] \displaystyle S _{ \text{sphere}} =3629.84[/tex]

hence, the surface area of the sphere is 3629.84 cm²

A circle has a sector with area \dfrac{17}{2}\pi 2 17 ​ πstart fraction, 17, divided by, 2, end fraction, pi and central angle of \purple{\dfrac{17}{9}\pi} 9 17 ​ πstart color #9d38bd, start fraction, 17, divided by, 9, end fraction, pi, end color #9d38bd radians . What is the area of the circle?

Answers

Answer:

The area of the circle is equal to [tex]9\pi[/tex].

Step-by-step explanation:

Given that,

The area of sector is, [tex]\dfrac{17}{2}\pi[/tex]

The central angle is [tex]\dfrac{17}{9}\pi[/tex]

We need to find the area of circle.

We know that,

[tex]\text{Area of sector}=\dfrac{\text{central angle}}{2\pi}\times \text{Area of circle}\\\\\text{Area of circle}=\dfrac{2\pi \times \text{Area of sector}}{\text{central angle}}\\\\=\dfrac{2\pi \times \dfrac{17\pi}{2}}{\dfrac{17\pi }{9}}\\\\=9\pi[/tex]

So, the area of the circle is equal to [tex]9\pi[/tex].

In a hatch chemical process, two catalysts arc being compared for their effect on the output of the process reaction. A sample of 12 batches was prepared using catalyst 1 and a sample of 10 batches was obtained using catalyst 2. The 12 batches for which catalyst 1 was used gave an average yield of 85 with a sample standard deviation of 4, and the second sample gave an average of 81 and a sample standard deviation of 5. Find a 90% confidence interval for the difference between the population means, assuming that the populations are approximately normally distributed with equal variances

Answers

Answer:

The 90% confidence interval, C.I = (0.693, 0.7307)

Step-by-step explanation:

Catalysts 1 and catalyst 2 have the following statistical data;

Catalyst 1

The number of batches in the sample, n₁ = 12

The average yield by the 12 batches of catalyst 1, [tex]\overline x_1[/tex] = 85

The sample standard deviation, s₁ = 4

Catalyst 2

The number of batches in the sample, n₂ = 10

The average yield, [tex]\overline x_2[/tex] = 81

The standard deviation, s₂ = 5

F-test = s₂²/s₁² = 5²/4² = 1.5625

The degrees of freedom, df = n₁ + n₂ - 2

∴ df = 12 + 10 - 2 = 20

The critical-t at 90% confidence level = 1.725

The F-test < The critical-t, we pool the variance

The 90% confidence interval with the assumption of equal variance is given as follows;

[tex]The \ 90\% \ confidence \ interval= \left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2} \times (s_p) \times \sqrt{\dfrac{1^{2}}{n_{1}}+\dfrac{1^{2}}{n_{2}}}[/tex]

[tex]s_p =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]

Therefore;

[tex]s_p[/tex] = √((12 - 1)×4² + (10 - 1)×5²)/(12 + 10 - 2)) ≈ 4.48

Therefore, we get;

[tex]C.I. = \left (85- 81 \right )\pm 1.725 \times 4.48 \times \sqrt{\dfrac{1}{12}+\dfrac{1}{10}}[/tex]

The 90% confidence interval, C.I = 0.693 < μ₁ - μ₂ < 7.307 = (0.693, 0.7307).

A 36-foot guy wire is attached to a utility pole to provide support for the pole. The wire forms a 60° angle with the ground. How high up the pole is the wire attached? Write your answer in simplest form. The wire is attached to the pole feet above the ground. ​

Answers

Answer:

20 ft is where it's attached

The Friendly Car Rentals rents cars for $35 a day. In addition to the car rental fees, there is a one time $9 fuel charge.

Answers

Answer:

What is the question to this?

help I don’t know the answer

Answers

Report this clown who put the first answer he’s trying to get your ip

What is the approximate distance from the origin to the point (−5, 6, −1)? Round to the nearest tenth.
o3.2 units
o3.5 units
o7.7 units
o7.9 units

Answers

Answer:the answer is o.7.7

Step-by-step explanation:

The answer would be o7.7 units

A truck driver is hauling furniture for a moving job. He travels an average
of 40 miles per hour. It takes a total of 17 hours to reach his destination.
How many miles is it to his destination?

Answers

Answer:

680 miles

Step-by-step explanation:

Multiply the mph by the total hours to get your answer

40 × 17 = 680

Have a great day! :)

Answer:

680 Miles

Step-by-step explanation: Miles per hour  times Hours

40 times 17

Debbie has at most $60 to spend on clothes. She wants to buy a pair of jeans for $22 and the rest on t-shirts. Write an inequality that represents the relationship between the amount of money Debbie has and how much she can spend on t-shirts.

Answers

Answer:

22+8x less then or equal to 60

Step-by-step explanation:

Debbie has at most $60 to spend

Then it will be <=60

Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.

And

Let x be the number of t-shirts

Then the cost of x t-shirts will be 8x

Putting this in to inequality will be:

The inequality to find the maximum number of t-shirts is:

How do you write 4.7x10^1 in standard form?

Answers

Answer:

Hello I am here to help!!

Step-by-step explanation:

The answer is 47

It's written as 47! <3

1 is subtracted from the division of a number and 9. The result is -2.​

Answers

Answer:

The number is - 9.

Step-by-step explanation:

(y ÷ 9) - 1 = - 2

(y ÷ 9) - 1 + 1 = - 2 + 1

y ÷ 9 = - 1

y ÷ 9 × 9 = - 1 × 9

y = - 9

HELP FOR BRAQINLIETS
T

Answers

Answer:

A -3-[tex]\sqrt{5\\} \\[/tex]

Step-by-step explanation:

I use the quadratic formula to solve

Answer:

D. -6 + 2[tex]\sqrt{5}[/tex]

Step-by-step explanation:

The answer is D because to solve for X you use the quadratic formula which is...

-b±[tex]\sqrt{b^{2} - 4ac}[/tex]

now just plug in which would be

-6±[tex]\sqrt{6^{2} - 4(1)(4) }[/tex]

then solve and the final answer would be

-6 ± 2[tex]\sqrt{5}[/tex] but there is only one answer for this which is a positive that is how I got  

-6 + 2[tex]\sqrt{5}[/tex]

Need help fast djs and she usdhsbsurbdidbidbdidbdidbdixbd

Answers

Answer:

∠BCD=95°

Step-by-step explanation:

∠B+∠D=127+43=170

360-170=190

∠A=∠C

∠A+∠C=190

∠C+∠C=190

∠C=190/2=95°

mops and buckets are sold in a shop. 9 mops cost £72. the ratio of the cost of a mop to the cost of a bucket is 4:7. work out the cost of 6 buckets​

Answers

Answer: 52 pound because if it’s 4:7 7 add 4 = 11 divide that by 72 gets you 52

Tengo que leerme un libro de 1267 páginas en 3 semanas. La primera semana he leído 189 páginas y la segunda el triple que en la primera, ¿cuántas páginas me quedan por leer en la tercera semana?

Answers

Answer:

Quedan 511 páginas por leer en la tercera semana.

Step-by-step explanation:

Si el libro tiene 1267 y debe leerse en 3 semanas, se ha leído 189 páginas en la primera semana y 567 páginas en la segunda semana, es decir, el triple del número de páginas leídas en la semana anterior, la cantidad de páginas por leer para la tercera se determina mediante la siguiente sustracción:

[tex]x = 1267 - 189 - 567[/tex]

[tex]x = 511[/tex]

Quedan 511 páginas por leer en la tercera semana.

will you have enough room for a dance floor that is 8 m x 8 m please explain why or why not


asap ​

Answers

8mx8m will not be enough room the average room for a dance floor is 15 x 15

8. Chloe received $20.00 for her birthday. She
bought 3 books for $3.59 each. How much
money does Chloe have left?

Answers

Answer: $9.23

because you multiply 3.59 by 3 to get $10.77 which was spent then you subtract $10.77 from $20.

A bag contains apps and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answers

Complete Question

A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answer:

Step-by-step explanation:

Which shows how to determine the volume of the pyramid?

Answers

Answer:

d would be correct

Step-by-step explanation:

A pyramid is a polyhedron formed by connecting a polygonal base and an a a p e x. The basic formula for pyramid volume is the same as for a cone: volume = (1/3) times  base area times height, where height is the height from the base to the a p e x. That formula is working for any type of base polygon and oblique and right pyramids.

If a=-2 and b = 3, what is the value of -3a2b?
1.
-36
2.
36
3.
-54
4.
54

Answers

Answer:
36
Explanation:

Answer:it’s -36

Step-by-step explanation:

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