Calculate the area of this trapezium

Calculate The Area Of This Trapezium

Answers

Answer 1

Answer:

72 cm²

Step-by-step explanation:

The area (A) of a trapezium is calculated as

A = [tex]\frac{1}{2}[/tex] h (a + b)

where h is the perpendicular height and a, b the parallel bases

Here h = 6 , a = 15, b = 9 , thus

A = [tex]\frac{1}{2}[/tex] × 6 × (15 + 9) = 3 × 24 = 72 cm²

Answer 2

Answer:

= 72 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (9cm + 15cm)×6cm/2

= 24cm×3cm

= 72 cm²


Related Questions

PLSSSSSSSSSSSSSSS HELP>>> Solve the following inequality. Write your answer as one inequality with no spaces. -12 < 3x-1 < 3

Answers

Answer:

-11/3<x<4/3

Step-by-step explanation:

I attached the explanation:

If a translation maps point (3, 2) to (5.3); or T:(3, 2) - (5, 3), indicate the image for (2, 4).

Answers

Answer:

(4,5)

Step-by-step explanation:

The x coordinate moves from 3 to 5 which is +2

The y coordinate moves from 2 to 3 which is +1

We move the point (2,4)

(2+2, 4+1) becomes (4,5)

Help me please and thanks

Answers

Answer:

C =43.96 ft

Step-by-step explanation:

The circumference of a circle is given by

C = pi * d where d is the diameter

C = 3.14 * 14

C =43.96 ft

Answer:

i cant see the bottom

Step-by-step explanation:

A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 16 adults are randomly selected,
find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight
correction?
The probability that no more than 1 of the 16 adults require eyesight correction is
(Round to three decimal places as needed.)

Answers

Answer:

P (X≤1) = 0.000

Step-by-step explanation:

Data given:

p = 79% = 0.79

q = 1 - 0.79 = 0.21

n = 16

P (no more than 1 in 16 adults) = P (X≤1)

P (X≤1) = P (X=0) + P (X=1)

We can find the probability by using binomial functions:

[tex]P=\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}[/tex]

P(X=0):

P(X=0) = (16! / 0!(16-0)!) · 0.79⁰ · 0.21¹⁶

Use calculator to solve:

P(X=0) = 0.000000000798

P(X=1):

P(X=1) = (16! / 1!(16-1)!) · 0.79¹ · 0.21¹⁵

Use calculator to solve:

P(X=1) = 0.000000034506

P(X≤1)

P (X≤1) = P (X=0) + P (X=1)

P (X≤1) = 0.000000000798 + 0.000000034506

P (X≤1) = 0.00000003530

P (X≤1) = 0.000

As 1 is a very low number, its probability is very small



I NEED HELP PLEASE

Select the correct answer.


Which set of coordinates satisfies the equations x-2y= -1 and 2x + 3y= 12?

Answers

Answer:

(3,2)

Step-by-step explanation:

The solution that satisfies both equations is where the two lines intersects.

The two graphs intersect at x=3 and y =2

(3,2) hope this helps good luck

PLEASE ANSWER ASAP! A copy machine reduces an original document using the ratio 5:3. What was the original length of a segment if, on the copy, it is 7.5 in. long? *Please provide an explanation!

Answers

Answer:

Divide the 7.5 by 3 to see how much bigger the ratio has to be.

7.5 / 3 = 2.5 so the ratio is 2.5 times bigger

multiply 5 by 2.5 to make the ratio equal and find the answer

5 x 2.5 = 12.5

It was 12.5 long and became 7.5 long

hope this helps. If you have any questions you may ask.

Step-by-step explanation:

I really need plz help ASAP the right answer will be marked of brainlest

Answers

Answer:

40

Step-by-step explanation:

5*4*2

Answer:

40

Step-by-step explanation:

5*2*4

5 units from each point * 4 points * 2

The measure of angle 3 is 42°
What is the measure of angle 1 in degrees

Answers

Answer:

48 degrees

Step-by-step explanation:

Angle 2 is a right angle.

Right angles are 90 degrees.

A line is 180 degrees.

Angle 1, 5, and 2 form a line.

180-90=90

That means that Angles 1 and 5 add up to 90 degrees.

We know that Angle 3 is 42 degrees.

Angle 3 and 5 are Vertical angles.

Vertical angles are always congruent.

This means that Angle 5 is also 42 degrees.

As we discussed earlier, Angles 1 and 5 are complementary. (Add up to 90 degrees)

42+x=90

Subtract 42 from both sides.

x=48

m<1=48

Answer:

It is 48 degrees because I took the test

Step-by-step explanation:

For one month, Terry recorded the time at which her school bus arrived. She organized her results in a frequency table. Find the experimental probability that the bus will arrive between 8:20 and 8:24.

Answers

Answer:

Experimental Probability is found:

P = 11/24

Step-by-step explanation:

Experimental Probability can be defined as the ration of the number of times (frequency) a desirable event has occurred, to the Total number of time (total frequency) the activity has been performed.

Probability = P = Frequency of an event / Total Frequency

To find the total frequency, we add all three of the given frequencies:

Total Frequency = 10 + 11 + 3

Total Frequency = 24

Frequency of the event (times bus arrived between 8:20 to 8:24) = 11

So, experimental probabilty is found as:

P = 11/24

help me with the right answer

Answers

Answer:

x = 3

y = 1

Step-by-step explanation:

9x - y = 26  ---------------(I)

9x + y = 28 ---------------(II)

9x - y = 26

9x = 26 + y

Substitute 9x = 26 + y in equation (II)

26 + y + y = 28               {add like terms}

26 + 2y = 28             {subtract 26 from both sides}

         2y = 28 - 26

        2y = 2    {divide both sides by 2}

           y = 2/2

y = 1

Substitute y =1 in equation (I)

9x - 1 = 26

9x = 26 + 1

9x = 27

x = 27/9

x = 3

x = 3

y = 1

Answer:

Brainliest!!!

Step-by-step explanation:

See picture

(x^4)^2 perform the indicated operation

Answers

Answer:

[tex]x^8[/tex]

Step-by-step explanation:

Since you are doing [tex]x^4[/tex] squared, you have to multiply the exponents.

4 * 2 = 8

[tex]x^8[/tex]

Answer:

[tex]x^8[/tex]

Step-by-step explanation:

[tex](x^4)^2[/tex]

Apply the law of exponents, where:

[tex](x^a)^b=x^{ab}[/tex]

[tex](x^4)^2=x^{4 \times 2}=x^8[/tex]

Write the equation of a line that is parallel to z = 8 and that passes through the point (-3,-2).

Answers

Answer:
y=8x+22

z=8
(-3,-2)

y=mx+b
-2=8(-3)+b
-2=-24+b
22=b

y=8x+22

The graph of f(x) =x^2 is shown.
g(x) = (x + 2)^2 - 1
Graph the parabola by first plotting the vertex and then plotting a second point on the parabola.

Help plzz

Answers

Answer:

Brainly User

The equation given is f(x) = x^2 - 12x + 27

Based on its form, it is a parabola. First, factor the quadratic equation:

f(x) = (x-9) (x-3)

Plot in the x-y plane, assign values of x and solve for the values of y. 

x       y

1       16

2      7

3      0

0      27

-1     40

-2    55     

-3    72

David earned a fixed salary each month. In January, he spent $400 and
saved the rest. In February, he spent 10% more and his savings dropped by
20%. What was David's savings in January?​

Answers

Answer:

if he spent %10 more 400.110/100 he spent 440

he spent 40 more and his savings dropped %20 this means 40 is %20 of his total saving 40.5=200

Answer:

$200.

Step-by-step explanation:

Let his fixed monthly salary be x dollars.

Then he saved x-400 dollars in January.

He spent 10% more in February which is $440 so his savings were x-440 dollars, which is 0.20 less than in January. So we have the equation:

(x - 400)  - (x - 440) = 0.20(x - 400)

0.80(x - 400) =  x - 440

0.8x -  320 - x = -440

-0.20x = - 120

x = $600

So his saving in January were  600 - 400 = $200.

Find the equation of the line through point (-5,5) and perpendicular to y = 5/9x - 4

Answers

Answer:

[tex]9x+5y=-20[/tex]

Step-by-step explanation:

[tex]y = \frac{5}{9} x - 4[/tex]

compare with that y=mx+c

where m=slope .

So after comparing we get m=[tex]\frac{5}{9}[/tex]

As the lines are perpendicular

[tex]m1*m2=\ -1[/tex]

[tex]m2 \ =\ \frac{-1}{m1}[/tex]

therefore m2=[tex]\frac{-9}{5}[/tex]

Now from the equation

[tex]y - b = m(x - a )[/tex] this equation passing to the point (-5,5) with m=[tex]\frac{-9}{5}[/tex]

[tex]y-5=\frac{-9}{5} (x+5)\\5y-25=-9x\ -45\\9x+5y=-20[/tex]

Therefore equation is

[tex]9x+5y=-20[/tex]

HELP PLZ

Answers

Answer:

Step-by-step explanation:

Take a look at the first possible answer choice:  (-3x) + 3 + (-2x) + 1 simplifies to -3x - 2x + 3 + 1, or -5x + 4.

Its A. ☜ its right trust me  thats right

Write 260 the expression as an exponent with the base of: 8

Answers

Answer: do you have the answer chooses?

Step-by-step explanation:

Find the equation of the line below. ​

Answers

Answer:

Option A. is the right choice.

Step-by-step explanation:

y-intercept is 0, and slope is negative.

[tex]\mathrm{Slope\:}\left(0,\:0\right),\:\left(3,\:-1\right):\\\\\quad m=\frac{-1-0}{3-0}=-\frac{1}{3}[/tex]

Best Regards!

Answer:

A. [tex] y= - \frac{1}{3} x[/tex]

Step-by-step explanation:

Line is passing through the point [tex] (3,\:-1)=(x_1, \:y_1) [/tex] and origin [tex] (0,\: 0)=(x_2, \: y_2) [/tex]

Equation of line in two point form is given as :

[tex] \frac {y-y_1}{y_1 - y_2} = \frac{x-x_1}{x_1 - x_2} \\\\

\therefore \frac{y-(-1)}{-1-0}= \frac{x-3}{3-0}\\\\

\therefore \frac{y+1}{-1}= \frac{x-3}{3} \\\\

\therefore 3(y+1) = - 1(x-3)\\\\

\therefore 3y + 3 = - x +3\\\\

\therefore 3y = - x +3-3\\\\

\therefore 3y = - x\\\\

\huge \orange {\boxed {\therefore y= - \frac{1}{3} x}} [/tex]

What is the volume of the sphere below?
A. 817 units 3
B. 36 units 3
C. 27 units3
D. 12 units 3

Answers

Answer:

B)

Step-by-step explanation:

r= 3 units

[tex]Volume=\frac{4}{3}\pi r^{3}\\\\=\frac{4}{3}*\pi *3*3*3\\\\=4*\pi *3*3\\\\[/tex]

= 36π unit³

Answer:

 B 36π units³

Step-by-step explanation:

V = 4πr³/3

r = 3

V = 4·π·3·3²/3

= 4π·9

= 36π units³

HELP! 10 POINTS AND BRAINLIEST

Answers

Answer:

Yes it's D

Step-by-step explanation:

Multiply coordinates by 2. :P

The average (mean) of 90 numbers is 60, and the average of 60 numbers is 90. What is the average of all the numbers? I will mark brainliest for the best explanation

Answers

Answer: 72

Step-by-step explanation:

Total Score of 90 nos

90 x 60 = 5400

Total score of 60 nos

60 x 90 = 5400

Average of (90 + 60) = 10800 / 150 = 72

Answer:

72

Step-by-step explanation:

You need to find the average of all the number.  However, you are given two averages that have unequal numbers.  To solve, you need to multiply each average by the amount of number it has in it.

90 × 60 = 5400

60 × 90 = 5400

You need to find the total amount of number as well as the total value of the numbers.

90 + 60 = 150

5400 + 5400 = 10800

Divide the total value by the total amount of number to find the average.

10800/150 = 72

The total average is 72.

Miguel wants to bike a total of 100 miles over the course of one week in the summer. He logs how much he bikes each day in the table below. Miguel’s Biking Log Day Miles Completed Monday 16.3 Tuesday 14 and one-half Wednesday 18.75 Thursday 12 and one-fourth Friday 22 and three-fifths How many total miles does Miguel need to ride on Saturday and Sunday to meet his goal? 15 and three-fifths miles 45 and one-fifth miles 62 and one-half miles 84 and two-fifths miles IM TIMED ASAP PLEASE HURRY

Answers

Answer:

15 and three-fifths miles

Step-by-step explanation:

First you add all the miles he rides.

Mon+Tue+Wed+Thu+Fri=84.4miles

Then you do 100m-84.4m=15.6

Answer:

I believe 15 and 3/5 miles is your answer.

Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0 A. (x − 5)2 = 36 B. (x − 10)2 = 21 C. (x − 10)2 = 36 D. (x − 5)2 = 21

Answers

Answer:

A. (x - 5)² = 36

Step-by-step explanation:

Step 1: Isolate x

x² - 10x = 11

Step 2: Complete the Square

x² - 10x + 25 = 11 + 25

(x - 5)² = 36

And we have our answer!

A store down the street is selling a bicycle for 45% off the retail price. The bicycle regularly sells for $115.00. What is the sale price of the game? A. $51.75 B. $61.75 C. $61.25 D. $63.25

Answers

Answer:

D

Step-by-step explanation:

100%-45%=55%

$115*55%=$63.25

Answer:

the answer is D

Step-by-step explanation:

have a nice day!!

A man withdrew some money from the bank. He gave 1/2 of it to his sons and 1/3 to his daughter. If he had $500.00 left, how much did he take from the bank?

Answers

Answer:

916.67

Step-by-step explanation:

1/2 of 500.00

1/2×500.00

=250.00

1/3 of 500.00

1/3×500.00

=166.67

then add them

250.00+166.67

=416.67

then take 500.00 add with 467.67

500.00+416.67

=916.67

What is the measure of
A. 60°
B. 30°
ОО
C. 90°
D. Cannot be determined

Answers

Answer: 60ᴼ

Step-by-step explanation:

The sum of the angles equals 180ᴼ and there are 3 equivalent angles in an equilateral triangle. In an equilateral triangle, all 3 sides have the same length as well.

180 / 3 = 60

60ᴼ per angle

60°; every triangle is equal to 180°

A scientist invents a car that can travel for many hours without stopping for fuel. The car travels around a track at 54 miles an hour for 24 hours. At the end of the 24 hours, how far has the car traveled?

Answers

Answer: 1,296 m iles

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Distance = Speed rate x time

speed rate = 54 miles per hourtime = 24 hours

Replacing with the values given and solving for D (distance)

D = 54 mph x 24 h = 1,296 m

The car traveled 1,296 miles

Feel free to ask for more if needed or if you did not understand something.

Solve for x.
2
5.
3
8
001 – Joo
4

Answers

More information is needed.

Suppose a contest allows you to spin a wheel for a prize..

Answers

Answer:

Step-by-step explanation:

I pretty sure its A

hope it helps

-Delilah

What is the y-intercept of a line that has a slope of –3 and passes through point (–5, 4)? –17 , –11 , 7 , 19

Answers

Answer:

-11

Step-by-step explanation:

There is enough information to put the equation in point slope form.

[tex]y-y_1=m(x-x_1)[/tex]

We are given the point of (-5,4) and the slope of -3.

[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-4=-3(x+5)}[/tex]

Now, we can take the point slope equation and convert it into slope intercept form.

[tex]y-4=-3(x+5)\\\\\left \{ {{-3*x=-3x} \atop {-3*5=-15}} \right.\\\\ y-4=-3x-15\\\\y-4+4=-3x-15+4\\\\\boxed{y=-3x-11}[/tex]

The y-intercept should be -11.

Answer:

B

Step-by-step explanation:

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