the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively determine the area of trapezium
Answers
Answer:
903 sq. cm.
Step-by-step explanation:
It is given that the length of two parallel sides of a trapezium are 91 cm and 51 cm and the length of two other side 37 CM and 13 cm respectively.
Now draw a dotted line as shown in the below figure. So, we have a triangle with sides 13 cm, 37 cm, 40cm and a parallelogram with sides 51 cm, 13 cm.
Area of parallelogram is
[tex]A_1=base\times height[/tex]
[tex]A_1=51\times 13[/tex]
[tex]A_1=663[/tex]
Using heron's formula, area of triangle is
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where, [tex]s=\dfrac{a+b+c}{2}[/tex].
The sides of triangle are 13cm, 37 cm, and 40 cm.
[tex]s=\dfrac{13+37+40}{2}=45[/tex]
Area of triangle is
[tex]A=\sqrt{45(45-13)(45-37)(45-40)}=240[/tex]
The area of trapezium is
[tex]A=A_1+A_2=663+240=903[/tex]
Therefore, the area of trapezium is 903 sq. cm.
Related Questions
Divide (10x^3 + 19x^2 + x - 7) by (5x + 2)
Answers
Answer:
2x² + 3x - 1 - 5/(5x +2)
Step-by-step explanation:
2x² + 3x - 1
__________________
5x + 2 | 10x³ + 19x² + x - 7
| -10x³ - 4x²
| 15x² + x
| - 15x² - 6x
| - 5x - 7
| 5x +2
| - 5
2x² + 3x - 1 - 5/(5x +2)
point A (-3,-5) and point M is at (-1,-7) what are the coordinates point of be
point M is the midpoint off point A and point B
Answers
Answer: B = (1,-9)
Step-by-step explanation:
[tex]x_M=\frac{x_A+x_B}{2} \\\\y_M=\frac{y_A+y_B}{2} \\\\\\x_B = 2x_M-x_A=2(-1)-(-3)=1\\\\y_B = 2y_M-y_A=2(-7)-(-5)=-9\\[/tex]
Answer:
the answer is b
Step-by-step explanation:
Please help me with my question!!
Answers
Answer:
B
Step-by-step explanation:
When you add two fractions with an equal denominator, you can simply add together the numerators. If it is a mixed fraction, you leave the integer alone unless the sum of the numerators is greater than the denominator, in which case you rewrite the fraction appropriately.
6/19 + 1 2/19= 1+ (6+2)/19 = 1 8/19, not 1 9/19. Therefore, the correct answer is choice B. Hope this helps!
What is the last step when finding the area of a compound shape?
Answers
Using the formula then calculator to get the ans and we must never forget to write the unit in squared form.
If you add the digits in a two-digit number and multiply the sum by 7, you get the original number. If you reverse the digits in the two-digit
number, the new number is 18 more than the sum of its two digits. What is the original number?
O A 42
B. 24
C. 64
D.46
E.36
Answers
Answer: A - 42
Step-by-step explanation:
Let x= ones digit, y=tens digit
1st (original number) :
7(x+y)=10y + x
2nd (new number by reversing the digits): 18+x+y=10x+y
simplifying:
1st condition: 6x=3y
2nd condition: x=2
substituting x=2 to 6x=3y
y=4
Answer:
The answer is 42 but let me tell you this question made my brain cell work an all nighter from how bad I am at riddles LOL
Step-by-step explanation:
Which expression does not represent "the sum of n and 6"?
O6 + n
On +6
O on
Answers
Answer:
n+6
Step-by-step explanation:
sum means add
n+6
WILL GIVE BRAINLIEST 5TH GRADE ASAP PLS HELP
what is 2sqrt(5)
Answers
Answer:
The answer is (rounded) 4.47213
Step-by-step explanation:
Have a nice day!
Answer:
The correct choice is 4.47213
Step-by-step explanation:
If a polynomial function f(x) has roots 0, 4, and 3+ sqrt 11, what must also be a root of f(x)?
a. 3+i sqrt 11
b. -3+i sqrt 11
c. 3- sqrt 11
d. -3- sqrt 11
Answers
Answer:
The answer is C 3- sqrt 11
Step-by-step explanation:
Please help! Correct answer only!
In a raffle, one ticket out of 250 will win a $230 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$__
Answers
Answer:
$0.92
Step-by-step explanation:
Since only one ticket out of the 250 wins a 230 dollar prize, the expected payoff is 230/250=0.92. Hope this helps!
Factorise 7a^3b^2 - 14a^2b^3
Answers
Answer:
[tex]7a^2b^2\left(a-2b\right)[/tex]
Step-by-step explanation:
[tex]7a^3b^2 - 14a^2b^3[/tex]
[tex]7a^2b^2(a)-7a^2b^2(-2b)[/tex]
[tex]=7a^2b^2\left(a-2b\right)[/tex]
Please answer correctly !!!!!! Will mark brainliest answer !!!!!!!!!!
Answers
Answer:
see below
Step-by-step explanation:
1. 0 = (r + 1)(r + 8)
Using Zero Product Property, r = -1, r = -8
2. h(r) = (r + 1)(r + 8)
= r² + 9r + 8
= (r + 9/2)² - 81/4 + 8
= (r + 4.5)² - 12.25 (Complete the square)
Vertex: (-4.5, -12.25)
Which of the following is not true if the polygon is a square?
O A. slopers. slopesc = -1, slope slopesc = -1, sloped slope = -1,
and slope AB
• Slopezd = -1
B. The slopes of the adjacent line segments are equal.
O C. AB = BC = CD = AD
O D. slopezp=slopego
Answers
Answer:
the slopes of the adjacent line segments are equal......
Step-by-step explanation:
hope it's helpful
Predecessor and successor of 999
Answers
There are 350 Families lives in the small town of America. A poll of 50 families revealed the mean annual church contribution is $550 with the standard deviation of $ 75.Construct the 95% confidence interval for the mean annual contribution
Answers
Answer:
$550+/-$20.79
= ( $529.21, $570.79)
Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $550
Standard deviation r = $75
Number of samples n = 50
Confidence interval = 95%
z(at 95% confidence) = 1.96
Substituting the values we have;
$550+/-1.96($75/√50)
$550+/-1.96($10.60660171779)
$550+/-$20.7889393668
$550+/-$20.79
= ( $529.21, $570.79)
Therefore, the 95% confidence interval (a,b) = ( $529.21, $570.79)
If (x - 1)/x = 20, then x =
O a. -21
O b.-19
c. -1/19
O d.-1/21
Answers
Answer:
-1/19 = x
Step-by-step explanation:
(x - 1)/x = 20
Multiply each side by x
(x - 1)/x *x = 20*x
x-1 = 20x
Subtract x from each side
x-1-x = 20x-x
-1 = 19x
Divide each side by 19
-1/19 = x
Which inequality matches the graph?
A.−3x + 2y > 7
B.3x − 2y < 7
C.−2x + 3y > 7
D.2x − 3y < 7
Answers
That’s because I checked in the graphing calculator below and that was the answer!
Hope this helps
The upper and lower quartiles are the _______________ of each half of the data.
A. mean
B. mode
C. median
D. none of the above
Answers
Answer:
A..... I guess the answer must be A
in fantasy football, Real Performance statistics from actual players are used to generate mock scores for Imaginary teams and virtual games. What kind of data source is this?
Answers
Answer:
[tex]\fbox{\begin{minipage}{8em}Option B: Survey\end{minipage}}[/tex]
Step-by-step explanation:
The data is collected from actual players, from real world, not simulation.
=> Option A-Simulation is incorrect.
The data is all collected subjectively from actual players, and has not been manipulated purposely, like in an experiment, yet.
=> Option C-Experiment is incorrect.
The data is collected subjectively and used directly to generate mock scores without any manipulation.
The data can be considered the results of survey.
=> Option B-Survey is correct
Hope this helps!
:)
Answer: Simulation
Step-by-step explanation:
I took the quiz
Brainliest?????! Answer ASAP!
Answers
Answer:
12
Step-by-step explanation:
12
Two opposite sides of a parallelogram are 3x-8 and 10x+13. Find the measure of all sides
Answers
Answer:
Step-by-step explanation:
Using the parallelogram theorem
3x-8 = 10x+13
-7x = 21
x = -3
Substitute
3(-3) - 8
-17
10(-3) + 13
-17
Can anyone help me with 9th-grade geometry?
Answers
Answer:
See below.
Step-by-step explanation:
From the given info the 2 triangles are isosceles with AE = FR and ET = RP because the 2 sets of base angles are equal.
As the base angles are congruent m < E = m < R.
So the are 2 triangles are congruent by SAS, ASA and AAS.
What is the average rate of change for this exponential function for the
interval from x = 2 to x = 4?
Answers
it is two i think. hope i could help
Plzzzzz urgenttttt❤️❤️❤️
Answers
D. 2322.50
Step-by-step explanation:
I hope it's right.
Is the relation a function? Why or why not?
{(-8, -4).(-2, 0), (1, 3).(-2.6)}
Answers
Answer:
No it's not a function. (-2, 0) and (-2, 6) don't pass the vertical line test.
Step-by-step explanation:
Given the statement:
Little sisters are annoying.
If you are a little sister, then you are annoying. This is the_
converse
original statement
contrapositive
inverse
Hypothesis
conclusion
Answers
Answer:
conclusion
Step-by-step explanation:
We are given a single statement:
"Little sisters are annoying."
A hypothesis regarding that statement is then proposed:
You are a little sister.
The only two possible interpretations from the information given are that you either are annoying or not. Since little sisters are annoying, if you are a little sister, the only possible logical conclusion is that you are annoying.
The answer is conclusion.
It would be conclusion
“Little sisters is annoying”
Probability Race game
Read the whole thing even the scenario
Question 2: Why is picking horse 1 a really bad idea? What is its probability of winning?
Answers
Answer:
P(1) = 0
Step-by-step explanation:
The sum of 1 is impossible so that horse will never get to move
The probability of winning is zero
Answer:
p(1) = 0
Step-by-step explanation:
The horse can't move at all (why it's a bad idea)
The probability of winning is 0
Hope this helps!
Please help! Correct answer only!
For a fundraiser, there is a raffle with 50 tickets. One ticket will win a $180 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answers
Answer:
$ 3.60 ; Type in 3.60
Step-by-step explanation:
Consider the steps below;
[tex]Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars[/tex]
Solution ; " Expected Payoff " ⇒ $ 3.60
find the value of x
Answers
Answer:
x = -14
Step-by-step explanation:
Look at the image attatched. I have labeled the angles for better explanation.
We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:
108 = x + 122.
We then solve this by getting:
x = 108 - 122
which gives us the answer of
x = -14
Answer: x = -14
Step-by-step explanation:
a) Top triangle, top angle: Using the Linear Pair Postulate, 180° - 126° = 54°
b) Top triangle, bottom left angle: Congruent sides implies congruent angles = 54°
c) Bottom triangle, top left angle: Using the Complimentary Angles Postulate, 90° - 54° = 36°
d) Bottom triangle, bottom angle: Congruent sides implies congruent angles = 36°
Triangle Sum Theorem states that the sum of the three angles must equal 180°.
36° + ∠2 + 36° = 180°
36° + (x + 22) + 36° = 180°
x + 194 = 180
x = -14
PLS HELP ME!!!! ASAP I WILL MARK BRAINLIEST!!!!!!
Answers
Answer:
(-3)^3 x^5
Step-by-step explanation:
x*x*x*x*x *(-3)*(-3)*(-3)
There are 5 x terms
x^5
There are 3 (-3) terms
(-3)^3
Multiply theses together
(-3)^3 x^5
The right answer is (-3)^3 x^5
please see the attached picture for full solution
hope it helps...
Good luck on your assignment..
Mrs. Whitlow gives her dog, Ekon, a weekly allowance to spend on treats. This week, Ekon
received $2.20 in nickels and dimes. If there is a total of 26 coins, how many of each coin did
Ekon get?
(Solve using systems of linear equation)
Answers
Answer:
8 nickels and 18 dimes
Step-by-step explanation:
Make a system of equations:
n + d = 26
5n +10d = 220
Solve by elimination by multiplying the top equation by -5. This gives you:
-5n -5d = -130
5n +10d = 220
Then solve to get 5d= 90, then d= 18.
Then plug 18 for d in the equation n + d= 26, so n + 18= 26
n= 8
