in trapezium abcd diagonals ac and bd intersect at o ar(COD) = 24cm² ar( AOB) = 96 cm² find the area of trapezium
Answer:
The area of the trapezium is 216 cm²
Step-by-step explanation:
The parameters of the trapezium are;
The point of intersection of the diagonals ac and bd = point o
The area of ΔCOD = 24 cm²
The area of ΔAOB = 96 cm²
Let h represent the height of the trapezium and let x represent the height of triangle ΔCOD, we have;
The height of ΔAOB = h - x
Therefore;
The area of ΔCOD = (1/2) × The length of CD × x = 24
∴ The length of CD = 24/((1/2) × x) = 48/x
The area of ΔAOB = (1/2) × The length of AB × (h - x) = 96
The length of AB = 96/((1/2) × (h - x)) = 192/(h - x)
The area of the trapezium, A = ((48/x + 192/(h - x))/2) × h
We note that ΔCOD ~ ΔAOB, therefore;
(AB)²/(CD)² = (h - x)²/x² = (arΔAOB)/(arΔCOD) = 96/24 = 4
∴ √((h - x)²/x²) = (h - x)/x = √4 = 2
∴ h - x = 2·x
h = 2·x + x = 3·x
A = ((48/x + 192/(h - x))/2) × h
∴ A = ((48/x + 192/(2·x))/2) × 3·x = ((48 + 192/(2))/2) × 3 = 216
The area of the trapezium, A = 216 cm².
The polynomial is missing the coefficient of the third and last terms.
8x^3 - 144x²y + _xy² - _y^3
In order to divide polynomials using synthetic division, you must be dividing by a linear expression and the leading coefficient (first number) must be a 1. For example, you can use synthetic division to divide by x + 3 or x – 6, but you cannot use synthetic division to divide by x2 + 2 or 3x2 – x + 7. If the leading coefficient is not a 1, then you must divide by the leading coefficient to turn the leading coefficient into a 1. For example, 3x – 1 would becomex minus 1/3 and 2x + 7 would becomex plus 7/2. If synthetic division will not work, then you must use long division.
Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
4/8 = 1/2
Step-by-step explanation:
hope it thepled u
I need help with this question
Answer:
38°.
Step-by-step explanation:
A triangle adds up to 180°.
CAB= 78°
But we minus 78° from 46°:
32°.
As a triangle adds up to 180°,
110+32= 142°.
180-142= 38°.
To see if we are correct:
38+32+110= 180°.
Hope this is okay!
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (- 1, - 1)?
Answer:
y=-1x-1
Step-by-step explanation:
it should be this
Answer:
D. y+1=3(x+1)
hi dev lol hahahahhahahahahahahahahahahahahaha
Answer: hi
Step-by-step explanation: siodrifjojseidufjsoidhfidshiufhoiersdnfiojdriofjoiedsjfpoiejdpoigheroiuhgoiutrhfbiukghvioruefdhgbiuktrhdfiougkhneoiuwhsrdtifu[tex]\lim_{n \to \infty} a_n \geq \alpha \leq \sqrt{x} \\ \pi \geq \lim_{n \to \infty} a_n \left \{ {{y=2} \atop {x=2}} \right. x^{2} \frac{x}{y} \frac{x}{y}[/tex]
Answer:
oh no
Step-by-step explanation:
⇔⇔∈∈ω∵↑↑±±±±±±±[tex]\lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \neq \neq \neq \neq \neq \neq \neq x^{2}[/tex]←⊂∈∈∈∈∈ωωωωωωωωωωωωωωωω∧∨∧∧∧∧An aeroplane flies 1860 miles in 4 hours. What is its average speed?
Answer:
The average speed is 465 mph
Step-by-step explanation:
1860/4 = 465
Answer:
The average speed is 465 mph
Step-by-step explanation:
Average speed = distance/time
1860 miles / 4 hours = 465 mph
cant figure it out. pls help
[tex]\longrightarrow{\green{x\:=\:6}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
➝[tex] \:\frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]
➝[tex] \: 2(3x + 2) = 4(x + 4)[/tex]
➝[tex] \: 6x + 4 = 4x + 16[/tex]
➝[tex] \: 6x - 4x = 16 - 4[/tex]
➝[tex]\:2x = 12[/tex]
➝[tex] \: x = \frac{12}{2} [/tex]
➝[tex] \: x = 6[/tex]
Therefore, the value of [tex]x[/tex] is 6.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
➪ [tex] \: \frac{3x + 2}{4} = \frac{x + 4}{2} [/tex]
➪ [tex] \:\frac{3 \times 6 + 2}{4} = \frac{6 + 4}{2} [/tex]
➪ [tex] \:\frac{18 + 2}{4} = \frac{10}{2} [/tex]
➪ [tex] \:\frac{20}{4} = 5[/tex]
➪ [tex] \: 5 = 5[/tex]
➪ [tex] \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{❦}}}}}[/tex]
The isosceles triangle theorem says "If two sides of a triangle are congruent,
then the angles opposite those sides are congruent."
If you are using this figure to prove the isosceles triangle theorem, which of
the following would be the best strategy?
S
Answer:
Draw QS so that S is the midpoint of PR, then prove ΔPQS is congruent to ΔRQS using SSS.
Step-by-step explanation:
Explanation,
(For Proper Question And Diagram Please Find In attachment)
Draw QS, so that S is the midpoint of PR .Solution,
Now, We know that PS = SR ( S is Midpoint of PR)QS = QS (Common Side) and PQ=QR (given Isosceles Triangle)then triangles are congruent and thus ∠QPS equals to ∠QRS.Thus, the triangle PQR is then the isosceles Triangle.Name the marked angle in 2 different ways
Answer:
∠TSR ∠S
Hope this helps! :)
Question please help me
9514 1404 393
Answer:
3x -y -30 = 0
Step-by-step explanation:
The reference line for the intercept can be written in standard form as ...
2x +5y = 20
Setting y=0 and solving for x, we find the x-intercept to be ...
2x = 20
x = 20/2 = 10
__
The line perpendicular to the first reference line can use the same x- and y-coordinates, but swapped, with one of them negated. If the line is right-shifted from the origin to the x-intercept point, its equation will be ...
3(x -10) -y = 0
In general form, this is ...
3x -y -30 = 0
_____
Additional comments
Perpendicular lines have slopes that are opposite reciprocals of each other. The slope of a line in general form is ...
m = -(coefficient of x)/(coefficient of y)
The opposite reciprocal of this can be had by swapping the coefficients and negating one of them.
In general form, we like to have the first coefficient positive, so we choose to negate the (new) y-coefficient in this problem.
The general form equation ax+by=0 would define a line through the origin. Using the usual methods for translating functions, we can make the line go through point (h, k) by writing the equation as a(x-h)+b(y-k) = 0. This is the method we used to make the line have the desired x-intercept.
PLEASE HELP ME
PLEASE HELP ME
Find the lateral surface area of
the following square pyramid:
4 cm
6 cm
LA = [?] cm2
Answer:
Surrounding area of pyramid = area of a side face multiplied by 4
Step-by-step explanation:
The area of a side face is the area of the triangle:
[tex]\frac{1}{2} *6*4[/tex] = 12
So the perimeter of the pyramid is:
12×4=48
Explanation: because the side faces have the same area.
This is math all right.
Answer:
1 and 3
Step-by-step explanation:
Please help. I only have a little bit of time left. Find the volume of this sphere. Round to the nearest tenth. 7 in Formulas for Spheres S.A. = 40 V = [?] in3
Answer:
V = 1436.0 in ^3 with 3.14 for pi
or
V = 1436.8 in ^3 with the pi button
Step-by-step explanation:
V = 4/3 pi r^3
The radius is 7
V = 4/3 pi (7)^3
V = 4/3 ( 3.14) (7)^3
V =1436.02666 in ^3
V = 1436.0 in ^3
If you use the pi button
V = 4/3 pi 7^3
V = 1436.75504
V = 1436.8 in ^3
28. An aquarium is 7 feet long, 4 feet wide, and 4.8 feet deep. What is the volume of the tank?
Answer:
V =134.4 ft^3
Step-by-step explanation:
Volume is
V = l*w*h
V = 7*4*4.8
V =134.4 ft^3
help help help due today
Answer:
sin 52°= AB/x
sin 52°=AB/7.7
AB= 6.06 m
Three trees are planted. The direct distance from tree A to tree B is 200 feet. The direct distance from tree B to tree C is 300 feet. Which of the choices could be the direct distance from tree A to tree C?
Answer:
500ft
Step-by-step explanation:
DISTANCE BETWEEN TWO POINTS
We want to firstly assume that the the three trees lies on the same line
so tress A,B and C are on the same line
Given
The direct distance between A to B= 200 ft
The direct distance between B to C= 300 ft
hence A to C= 200+300= 500ft
let us do a graphical representation for better understanding
A----B-----------C
200ft 300ft
A---------- -----C
500ft
A to C= 500ft
Please help need answer. NO LINKS
Answer:
Answer choice C) 3a-3
Step-by-step explanation:
Your perimeter is of (10a-6). The first step would be multiply 2a by 2 since you have to sides. Which would give you to 4a. Next you will have to subtract 4a from (10a-6). This would give you 6a-6. Finally divide by two and you will get 3a-3.
Please help no files just type it in please and thank you <3333
Answer:
9
Step-by-step explanation:
5×9=45
Hope this helps! :)
Answer:
9
Step-by-step explanation:
5x9=45
45 ÷ 5 = 9
45 ÷ 9 = 5
Which numbers are written in scientific notation? Check all that apply.
–10.8 × 104
2.7 × 10–3
6.1 × 105
9.582 × 106
21.5 × 10–11
Answer:
[tex]2.7 \times 10^{ - 3} [/tex]
[tex]6.1 \times 10^{5} [/tex]
[tex]9.582 \times 10^{6} [/tex]
Step-by-step explanation:
-
Answer:
B,C,D
Step-by-step explanation:
Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they won’t climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremy’s time constraint? Explain why or why not.
Answer: no Jeremys time is not constraint
Step-by-step explanation: The amount of minutes to climb up 1 foot of height would take around 2 to 3 minutes, however if you divide 950 with 2 you will get 475 minutes to climb, if we also convert to 475 into hours that will be 7.92 hours . so overall he will climb extra 92 minutes (i really hope this kinda helped)
Identify the domain of the function shown in the graph. Which answer is it?
x is all real numbers.
Step-by-step explanation:
The domain is the possible values of x.
In this case, when y = 1.5, x can be any number. In other words, all real numbers.
Additionally, the domain can be represented as:
Df = {x: x <== all real numbers} or
Df = {x: x <== R}
the question how old is my mathematics teacher is an example of non statistical question which of the following make it a statistical question?
Include options please
The statistical question is "What is the typical age of the grade 7 Mathematics teacher?"
How to determine the statistical question?The question is given as:
"how old is my mathematics teacher?"
A statistical question is such that requires statistical data to be answered or completed.
A statistical question for "how old is my mathematics teacher?" could be "What is the typical age of the grade 7 Mathematics teacher"
Read more about statistical question at:
https://brainly.com/question/15980493
PLEASE HELP QUICK, NO FAKE ANSWERS
The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):
A graph with two linear functions; f of x passes through 1, 3 and 3, 13, and g of x passes through negative 1, 3 and 1, 13.
Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)
Part B: Solve for k in each type of transformation.
Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x).
Step-by-step explanation:
(A) We can shift f(x) to the left or up, both resulting in a transformation to g(x) if the values are right.
If we shift all of the values of f(x) to the left, forming a horizontal translation, we can get g(x)
Similarly, if we shift all of the values of f(x) up, forming a vertical translation, we can get g(x)
(B) k represents how much a graph is shifted up or down. In a horizontal translation, we do not shift k up or down, making it 0
In our second, we can make k 10 as the values of g(x) are 10 steps higher than
(C) First, we can see that the values of g(x) are two steps to the left of f(x). As shifts a graph to the left h units, we can turn into to get g(x)
Next, as stated previously, we can see that the values of g(x) are 10 steps higher than f(x). As fx* + k shifts a graph up k units, we can turn into +10 to get g(x)
* this is f(x), needed to bypass content filter
If a triangle has one interior angle measuring 102°, what is a possible pair of measurements for the other two
interior angles
it edmentum guided notes so it has to be a writing answer
Answer:
a2+a3=78
a2 and a3 must both be positive numbers that add up to 78
so a2 = a3 = 39
a1=102, a2=39, a3=39
Step-by-step explanation:
a1=102
a1+ a2 + a3=180 (all interrior angles of a triangle add up to 180)
a2+a3=78
a2 and a3 must both be positive numbers that add up to 78
A kite is flying 96 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 63º. Find the length of the string. Round your answer to the
nearest tenth.
Answer:
107.7 ft
Step-by-step explanation:
the length of string = 96 /sin 63°
= 107.7 ft
an angle is 21 degree more than twice its complement find it
QUICK
ASAP now before tomorrow Please
Answer: 67°
Step-by-step explanation:
Complementary angle refers to the angle that when added together will be equal to 90°.
Let the measurement of the angle's complement be x.
Therefore, the angles are x and 2x + 21. Since it's a complementary angle, therefore,
x + 2x + 21 = 90
3x + 21 = 90
3x = 90 - 21
3x = 69
x = 69°/3
x = 23°
Therefore, the angle will be:
= 2x + 21
= 2(23°) + 21°
= 46° + 21°
= 67°
The angle is 67°.
I know the answer but yes here points
Whats the greater number 1.32 or 1.34
1.34
Step-by-step explanation:
1.34 1.34 1.34 1.34 1.34
Select the correct answer from the drop-down menu. James is competing in the shot put event for his track team. His best attempt can be modeled using the quadratic function below, where x represents the horizontal distance, in feet, the shot traveled and h(x) represents the height, in feet, of the shot. h(x) = -0.05.12 + I +6 feet. It continues to increase until x= feet, and then In this situation, the height of the shot starts to increase when x = the height decreases until x= feet.
Answer:
What I did not understand the question properly.Is it a original question
What is the area of ABC?
This value is approximate.
=========================================================
Work Shown:
area = 0.5*side1*side2*sin(included angle)
area = 0.5*AB*AC*sin(A)
area = 0.5*11*18*sin(55)
area = 81.0960523846101
area = 81.1 cm^2
The cm^2 refers to "square cm".
Notice that the angle must be between the two sides, hence the "included".