The sum of length of the parallel sides of a trapezium exists 300 cm.
What is meant by trapezium?A trapezoid, which is often referred to as a trapezium, is a flat, closed object with four straight sides and one set of parallel sides. A trapezium's parallel bases and non-parallel legs are referred to as its bases and legs, respectively. Also possible are parallel legs on a trapezium.
Four sides, four corners/vertices, and four angles make up a trapezium, which is a closed shape or polygon. A trapezium has parallel sides on each of its opposing angles.
One set of the sides of a trapezium is parallel only. Since no trapezium is a rectangle, they are not all the same.
Area of trapezium = (a + b)/2 × h
where h is the perpendicular height, and a and b are parallel sides.
So, (a + b) exists sum of length of bases of a trapezium.
Let the equation be
Area of trapezium = (a + b)/2 × h
substitute the values in the above equation, we get
⇒ 4.2 × 100² = (a + b) / 2 × 280 {1 m = 100 cm}
simplifying the equation, we get
⇒ (84/280) × 10000 = a + b
⇒ a + b = 300 cm
Therefore, the sum of length of the parallel sides of a trapezium exists 300 cm.
The complete question is:
Find the sum of length of the parallel sides of a trapezium whose area is 4.2 m² and whose height is 280 cm.
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The sum of length of the parallel sides of a trapezium exists 300 cm.
What is meant by trapezium?A trapezoid, also known as a trapezium, is a closed, flat object with one pair of parallel sides and four straight sides. The parallel bases and the non-parallel legs of a trapezium are called the bases and the legs, respectively. A trapezium with parallel legs is another option.
A trapezium is a closed shape or polygon with four sides, four corners, and four angles. Each of the opposing sides of a trapezium has parallel sides.
A trapezium has only one set of parallel sides. They are not all the same since no trapezium is a rectangle.
Area of trapezium = (a + b)/2 × h
where h is the perpendicular height, and a and b are parallel sides.
So, (a + b) exists sum of length of bases of a trapezium.
Let the equation be
Area of trapezium = (a + b)/2 × h
substitute the values in the above equation, we get
⇒ 4.2 × 100² = (a + b) / 2 × 280 {1 m = 100 cm}
simplifying the equation, we get
⇒ (84/280) × 10000 = a + b
⇒ a + b = 300 cm
Therefore, the sum of length of the parallel sides of a trapezium exists 300 cm.
The complete question is:
Find the sum of length of the parallel sides of a trapezium whose area is 4.2 m² and whose height is 280 cm.
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The the mesure of……..
The measure of angle B is 82°
What is angle ?
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
∠A = 180° - 143°
= 37°
∠A + ∠B + ∠C = 180°
37° + ∠B + 61° = 180
∠B = 180 - 61 - 37
= 82°
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A train travels 315 km in the same time that a car travels 265 km. If the train travels on average 20 km/h faster than the car, find the average speed of the car and the time taken to travel 265 km.
Answer: 106 km/h,2.5 hr
Step-by-step explanation:
Given
The train travels 315 km in the same time car travels 265 km
The average speed of the train is 20 kmph faster than car
Suppose, speed of the car is v and it travels 265 km in t hours
[tex]\therefore \dfrac{315}{v+20}=\dfrac{265}{v}\\\\\Rightarrow 315v=265\left (v+20\right)\\\\\Rightarrow 315v=265v+5300\\\Rightarrow 50v=5300\\\Rightarrow v=106\ km/h[/tex]
Time taken to travel is
[tex]\Rightarrow t=\dfrac{265}{106}}\\\\\Rightarrow t=2.5\ h[/tex]
SOMEBODY PLEASE HELP ME AND GIVE THE ANSWERS TO THIS!
Answer:
1.v divided by n 2. im not sure how much money you have 3.true
Step-by-step explanation:
Steve ran a 26-mile race at an average speed of 4 miles per hour. If Adam ran the same race at an average speed of 3 miles per hour, how many minutes longer did Adam take to complete the race than did Steve?
Answer:
Adam took 132 minutes longer than Steve.
Step-by-step explanation:
Let's find the time that takes Steve and Adam to complete the race. We will use the equation:
[tex] V = \frac{d}{t} [/tex]
Where:
d: is the distance = 26 miles
t: is the time =?
V: is the speed
For Steve we have the following time:
[tex] t_{s} = \frac{d}{V_{s}} = \frac{26 mi}{4 mi/h} = 6.5 h*\frac{60 min}{1 h} = 390 min [/tex]
And the time of Adam is:
[tex] t_{a} = \frac{d}{V_{a}} = \frac{26 mi}{3 mi/h} = 8.7 h*\frac{60 min}{1 h} = 522 min [/tex]
So, the difference between the time of Adam and Steve is:
[tex] \Delta t = t_{a} - t_{s} = 522 min - 390 min = 132 min [/tex]
Hence, Adam took 132 minutes longer than Steve.
I hope it helps you!
Does anyone know how to solve this?
Answer:
domain[-5,-3)U(4,3)
range-(4,-4)
Step-by-step explanation
parentheses are used when the circle is open and brackets are used when the circle is filled in, domain is the x axis and range is the y axis
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 4
6th terms of given geometric progression whose common ratio is 3/2 and first term is 4 is 243/8 using the farmula ar^(n-1).
What is a geometric sequence?
A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers. Learn development in mathematics here as well. Here, each phrase is multiplied by the common ratio to generate the subsequent term, which is a non-zero value. A geometric series with a common ratio of 2 is 2, 4, 8, 16, 32, 64, etc.
Geometric Progression takes the following general form: a, ar, ar^2, ar^3, ar^4,..., ar^(n-1).
a = First term where
The common Ratio is r.
nth term = ar^(n-1)
6th terms ar^(6-1) = ar^5.
given is that r =3/2. a = 4.
6th term = 4 * (3/2)^5
= 4 * 3^5/2^5
=4*243/4*8
=243/8.
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Range of 63, 42, 28, 45, 36, 48, 32, 40, 57, 49
the H hotel charges $150 per night for a family suite. They also charge 11% sales tax. How much would be paid in tax for one night in the family suite?
Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.
n/q=b/a
please help
Answer:
[tex]a = \frac{bq}{n}[/tex]
Step-by-step explanation:
If we are trying to solve for "a", then we need it to be alone on one side of the equation.
[tex]\frac{n}{q} = \frac{b}{a}[/tex]
[tex]\frac{an}{q} = b[/tex]
[tex]a = \frac{bq}{n}[/tex]
1) Find the value of the expression.
6- y
for y = 2.6
Answer:
Answer:
1.3
Step-by-step explanation:
3.5 - y
y= 2.2
So substitute the Values and do 3.5 - 2.2 and you get 1.3 as answer
I hope This helped!
Answer:
1.3
Step-by-step explanation:
mrk me brainliest plzzzzzzzzz
the perimeter of a rectangle is 48 yards. The length is 14 yards.
Answer:
10 yards
Step-by-step explanation:
We know that to find the perimeter you have to multiply the length and width by 2 and add
We already know that the length is 14 yards
Multiply 14 by 2
14*2=28
Subtract 48 by 28 (the total of both the length and width multiplied by 2)
48-28=20
Divide 20 by 2
20/2=10
And your answer is 10 yards as the width
10+10+14+14=48 yards
Find the approximate area of the circle in the image. Use 3.14 for at
diameter = 9 in
O 20.25 square inches
O 63.585 square inches
O 254.34 square inches
O 81 square inches
7(2x - 8) = -2x + 8
Daredevil Danny determine the values of a,b, and c show your work
Answer:
y = ax^2 + bx + ct
Step-by-step explanation:
Ayuda la tengo que entregar hoy
Answer:
Step-by-step explanation:
1.6
2.30
3.?
4.60
5.84
6.330
A farmer sells 8. 5 kilograms of apples and pears at the farmer's market. 3/4 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market? Express your answer in fraction and decimal form. Solve on paper. Then check your work on Zearn. The farmer sold kg or kg of pears
In fraction form, this is 6.375/8.5, or 3/4.In decimal form, this is 0.75.
What is fraction?Fraction is a mathematical expression which represents a part of a whole. It consists of a numerator and a denominator which are separated by a fraction bar. The numerator is the number of parts and the denominator is the total number of parts in the whole. Fractions can be used to represent parts of a whole number or parts of a physical object. Fractions can also be used to express ratios or rates.
To solve on paper, we can use the following equation:
Pears = 8.5 kg - (3/4 x 8.5 kg)
Pears = 8.5 kg - (6.375 kg)
Pears = 2.125 kg
Therefore, the farmer sold 2.125 kg of pears at the farmer's market in fraction form, and 0.75 in decimal form.
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lines are and s are parallel. what is m1
Answer:
30 degrees
Step-by-step explanation:
PLEASE HELP (sorry for uploading alot I just want to good grade on this) NO LINKS PLEASE. RIGHT ANSWER GETS BRAINLIST
Answer:
C. Function 1: Difference of 1
Step-by-step explanation:
Function 1
m = ∆y / ∆x = 6/2 = 3
Function 2
Slope intercept form
m = 2
-------------------------
Function 1 is greater
Difference
3 - 2 = 1
what is the area of this figure?
Answer:
392 m^2
Step-by-step explanation:
I made a video explaining it for you! I promise it’s not unrelated to the question. Here it is:
https://youtu.be/AcVNod4o-_w
this is confusing for me please someone help T-T
Answer:
x = 39
y = 129
Step-by-step explanation:
to find x you do
x +51 = 90
subtract 51 from both sides
x = 39
to find y
we already know part of y is a right angle (90 degrees)
so we need to find the tiny other part
this tiny other part is equal to x
so
90 +39 = 129
PLEASE HELP ASAP WILL MARK BRAINLEST!!!
Answer:
HELLLLLLLLLLLLLLLLLL NO
Step-by-step explanation:
HOW TO DO THIS QUESTION PLEASE
9514 1404 393
Answer:
3x +2y = 6
Step-by-step explanation:
The scale of the axes of the supplied graph are not shown. We must infer what they are from the equation of the given line.
The given equation is in slope-intercept form, so we can read the y-intercept from the equation as being -1. This is 1 major grid square below the x-axis.
y = mx + b . . . . . . . line with slope m and y-intercept b
The x-intercept is found by setting y=0 and solving for x.
y = x -1
0 = x -1
1 = x . . . . . . add 1 to both sides
The x-intercept of 1 is shown on the graph as 2 major grid squares from the y-axis. This tells us each major grid square is 1/2 unit in the x-direction and 1 unit in the y-direction.
__
Knowing the scaling of the axes, we can determine that the x-intercept of line L is 2, and the y-intercept is 3.
There are several different useful forms of the equation for a line. One of them is "intercept form":
x/(x-intercept) + y/(y-intercept) = 1
Using the above intercept values, this is ...
x/2 + y/3 = 1
Multiplying by 6 puts this in standard form:
3x +2y = 6 . . . . . . . standard form equation for line L
__
If we solve for y, we can find the slope-intercept form.
2y = -3x +6
y = -3/2x +3
DEF is a equilateral triangle solve for X
Answer:
x=12√3
Step-by-step explanation:
we can split the triangle into two right triangles
since we know that DEF is an equilateral triangle, that means that we will be dealing with a 30°-60°-90° special right triangle
since it is a 30°-60°-90° triangle,
x=12√3
The point P(2k, k) is equidistant from A(-2, 4) and B (7,-5). Find the value of k.
If point P(2k, k) is equidistant from A(-2, 4) and B (7,-5), the numerical value of k is 3.
What is the numerical value of k?The distance formula used in finding the distance between two points is expressed as;
d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
The distance between P(2k, k) and A(-2, 4) is:
d = √((2k - (-2))² + (k - 4)²)
d = √((2k +2)² + (k - 4)²)
The distance between P(2k, k) and B(7, -5) is:
d = √((2k - 7)² + (k - (-5))²)
d = √((2k - 7)² + (k + 5)² )
Since the distances are equal, we can set the two equations for d equal to each other and solve for k.
√((2k +2)² + (k - 4)²) = √((2k - 7)² + (k + 5)² )
Square both sides
(2k +2)² + (k - 4)² = (2k - 7)² + (k + 5)²
(2k +2)² + (k - 4)² = 5k² - 18k + 74
5k² + 20 = 5k² - 18k + 74
Collect like terms
5k² - 5k² + 18k = 74 - 20
18k = 74 - 20
18k = 54
k = 54/18
k = 3
Therefore, the value of k is 3.
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If ∆ABC ~ ∆XYZ, then: ∠C ~ ???
Answer:
[tex]\huge\mathfrak\red{Answer...} \\ \\\huge\mathfrak\purple{angle \: z} \\ \\ \huge\mathfrak\pink{hope \: it \: helps..}[/tex]
Which of these are statistical questions that you could ask to gather data on the types of transportation to school?
Select all that apply.
A.
Does Thomas ride the bus to school?
B.
How do students in sixth grade get to school?
C.
How many miles do you travel to and from school each day?
D.
What is the height of a school bus?
E.
Do any students own bicycles?
Answer:
A statistical question is a question that can be answered by collecting data that vary. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question.
The closest ones are - B and E
How do you tell if something is a difference of squares?
A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.
what is perfect square ?Perfect squares result from squaring an integer. One such example is the number 81, which is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since it can be generated by squaring the number 12, which results in 12. 169 is a perfect square since it can be squared to produce the number 13. mathematics-specific language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the result is referred to as a square number, a perfect square, or simply "a square". Accordingly, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.
given
A binomial is a difference of squares if both terms are perfect squares. Remember that we might first need to filter out a common element.
If a binomial is found to be a difference of squares, it is factored into two binomials. the first being the first term's square root less the second term's square root.
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Can someone help with this !!!!
Answer:
[tex]f(g(4)) = f(4^2-3) = f(13) = 13 + 7 = 20[/tex]
[tex]g(f(5)) = g(5 + 7) = g(12) = 12^2-3 = 141[/tex]
[tex]f(f(1)) = f(1 + 7) = f(8) = 8 + 7 = 15[/tex]
3/5+3 3/4=. They are all fractions btw also if you can please show work I need help ♀️
Answer:
[tex]4\frac{7}{20}[/tex]
Step-by-step explanation:
Mold has started to grow in
the bathroom. When I first
noticed it there was 3cm².
The next day there was 4.5
cm². I noticed each day it
grew by 50%.
The amount of mold after n days is 3 × (1.5)ⁿ⁻¹.
What is Geometric Progression?Geometric progression is a sequence of numbers such that the ratio of two consecutive numbers is the same for whole sequence.
This ratio is common ratio.
At first, mold was 3 cm², then 4.5 cm², and it was increasing each day by 50%.
a₁ = 3
a₂ = 4.5
a₃ = 4.5 + (4.5 × 50%) = 6.75
.............
Here the common ratio, r = a₂/a₁ = a₃/a₂ = ..... = 1.5
n th term of a GP = a rⁿ⁻¹, where a is the first term and r is the common ratio.
Area of mold after n days = 3 × (1.5)ⁿ⁻¹
Hence the mold at any time can be calculated by the formula 3 × (1.5)ⁿ⁻¹.
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