What is the area of trapezoid ABCD? Enter your answer as a decimal or whole number in the box. Do not round at any steps.
The area of the trapezoid is given as 100. See the explanation for the same below.
What is a Trapezoid?A trapezoid is a quadrilateral with at least one set of parallel sides in American and Canadian English. A trapezoid is known as a trapezium in British and other varieties of English.
To find the length of each side of the trapezoid, you need to use the distance formula.
AB = (-1,5) and (3,2)
BC = (3,2) and (0,-2)
CD = (0,-2) and (-13, -11)
AD or DA = (-1,5) and(-13, -11)
Now, just use the distance formula for each line.
The Distance Formula is given as: d=√((x2 – x1)² + (y2 – y1)²).
Distance AB = √((3 – (-1))² + (2 – 5)²).
= √(4)² + (-3)²
= √(16+9)
= √25
AB = 5
lets us repeat this for the other section we will get:
Doing so gives us for all the points:
AB = 5
BC = 5
CD = 15.811388300842
DA or AD = 20
Note that:
The height is AD, the first base is AB and the second base is BC. We can plug the values for these sides into the trapezoid area formula, which is:
A = (base 1 + base 2) / 2 x height.
A = (5+5)/2 x 20
A = 5 x 20
A = 100.
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15 times 3 plus 12 time 2 using a t chart
Answer:
69
Step-by-step explanation:
15*3=45
12*2=24
45+24= 69
Answer: 114
Step-by-step explanation:
15×3+12×2
15×3=45
45+12=57
57×2=114
at the end of the season, a team’s ratio of wins to losses was 3:5. if there were no ties, what percentage of its games did the team win? (show work)
A.) 33 1/3%
B.) 37 1/2%
C.) 40%
D.) 62 1/2%
E.) 75%
As per given data of end of the season , ratio of teams win to losses is 3:5 and no ties, then percentage of game win by team is equal 37 1/2%.
As given in the question,
For the given dat of end of season,
Ratio of teams win to losses is equal to 3:5
Let x be the percentage of game
As per given ratio we have,
3x+ 5x =100%
⇒ 8x = 100
⇒x =100/ 8
⇒ x= 12.5
Percentage of winning the game by team = 3x
= 3(12.5)
= 37.5%
= 37 1/2%
Therefore, for given data of end of the season , ratio of teams win to losses is 3:5 and no ties, then percentage of game win by team is equal 37 1/2%.
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Help me: Brainliest +lots of points
The line segment joining points (2,6) and (6,2) forms a diagonal of a square. Which of the following could be the coordinates of another vertex of that square?
Answer:
(2,2) and (6,6) would be the other two points to the square.
Step-by-step explanation:
Answer:
(2,2) or (6,6)
Step-by-step explanation:
looking at the graph you can see the diagonal of a square and I just followed the points if that make sense please tell me if you need more
which number should replace s to make the equation below TRUE?
s divided by 4 = 7
The number that should replace s to make the equation true is 28.
What number should replace s?An equation in mathematics is an expression that has an equal to sign, =. An expression is a statement in mathematics that is made up of at least one variable and number.
s divided by 4 = 7
s ÷ 4 = 7
In order to determine the value of s, multiply both sides of the equation by 7. Multiplication is the process that is used in mathematics to determine the product of two or more numbers. The sign that represents multiplication is × . Multiplication is a mathematical operation. Other operations in mathematics are addition, subtraction and division.
(s ÷ 4) x 4 = 7 x 4
s = 28
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Which of the following functions is graphed below?
The most appropriate choice for function and graph of a function will be given by-
Option D is correct
What is function and graph of a function?
A function from A to B is a rule that assigns to each element of A a unique element of B.
Set of all points of the form (x, f(x)) is called graph of a function.
Here,
There is a hollow circle on y = 5 line and the function continues upwards
Also,
[tex]=\lim_{x \to 1} y(x)\\= \lim_{x \to 1} x^2 + 4\\= 1^2 + 4\\=5[/tex]
Now, there is a solid circle on y = -1 line and the function continues downward
So there is an equality on x = 1 downward
Now f(1) = [tex]1^3-2[/tex]
= -1
So the appropriate graph will be
[tex]\left \{ {x^3 - 2, {x \leq 1} \atop x^2+1, {x > 1}} \right.[/tex]
D is correct
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Complete Question
Which of the following functions is graphed below?
The image has been attached
-3[10+4(x-2)] all subtracted from 20
The value of the expression is 74 - 12x
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to evaluate the expression?The expression is given as
-3[10+4(x-2)] all subtracted from 20
When represented as an expression, we have the following mathematical representation
20 - (-3[10+4(x-2)])
Open the brackets in the above expression
So, we have
20 - (-3[10+4(x-2)]) = 20 - (-30+12(x-2)])
Open the brackets in the above expression
So, we have
20 - (-3[10+4(x-2)]) = 20 - (-30 + 12x - 24)
Open the last brackets in the above expression
So, we have
20 - (-3[10+4(x-2)]) = 20 + 30 - 12x + 24
Evaluate the like terms in the above expression
So, we have
20 - (-3[10+4(x-2)]) = 74 - 12x
Hence, the equivalent expression of the expression "-3[10+4(x-2)] all subtracted from 20" is 74 - 12x
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1a)Determine whether the relation is a function. (3,-3) (-3,3) (2,-2) (-2,-3) and explain.
1b)If the relation in 1a is a one to one?explain.
I really need help on this question but if anyone wants to help it would be greatly appreciated! 20 points for this!
Part a
It is a function because each x-value matches with only one y-value.
Part b
No, because the x-values of 3 and -2 both correspond to a y-value of -3.
Simplify (9x^3+2x^2-5x+4)-(5x^3-7x+4)
[tex]=9x^{3} +2x^{2} -5x+4-5x^{3} +7x-4\\=9x^{3} -5x^{3} +2x^{2} -5x+7x+4-4\\=4x^{3} +2x^{2} +2x[/tex]
Be remined for the second expression affects the signs of all the terms inside the brackets.
In the diagram below, KJ is congruent to LJ. If m of angle J = 98° and m of angle K = 11x+8, determine the value of x.
If it is windy, then we will go sailing today.
A. If we go sailing today, then it is windy.
B. If it is windy, then we will not go sailing today.
C. If we do not go sailing today, then it is not windy.
D.If it is not windy, then we will not go sailing today.
14.2 to 1 decimal place
A circle P is circumscribed about a regular hexagon ABCDEF
a. central
b. exterior
c. interior
d. inscribed
It is True to state that Arcs AB, BC, CD, DE, EF, FA in the circumscribed hexagon are all equal. See the explanation below.
What is a regular hexagon?In geometry, a hexagon is a six-sided polygon. A regular hexagon is one in which the lengths of all the sides and the measurements of all the angles are identical. The sides of a regular hexagon are therefore equivalent.
Allow point P to be the hexagon's and circle's center.
The dimension of arc AB is the same as the measure of central angle APB, which are both 360/6 = 60 degrees. This also applies to the other arc measurements. The whole 360-degree circle is divided into six equal parts, each measuring 60 degrees.
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Full Question:
Although the question seems incomplete you may have been referring to this:
A circle P is circumscribed about a regular hexagon ABCDEF
Arcs AB, BC, CD, DE, EF, FA are all equal
Select one:
a. False
b. True
solve for X on each of them and find the measurements of the angles
The unknown angles are as follows:
∠1 = 67.9°, ∠2 = 22.08°∠1 = 129°, ∠2 = 51°∠1 = 13.5°, ∠2 = 13.5°How to solve angles?complementary angles are angles that sum up to 90 degrees.
in other words, When two angles add to 90°, we say they "Complement" each other.
Therefore,
9x + 2x + 7 = 90
11x = 90 - 7
11x = 83
x = 83 / 11
x = 7.54
Therefore,
∠1 = 9(7.54) = 67.9°
∠2 = 2(7.54) + 7 = 22.08°
Supplementary angles are angles that sum up to 180 degrees.
Therefore,
3x + 8 + 9x = 180
12x + 8 = 180
12x = 180 - 8
12x = 172
x = 172 / 12
x = 14.3
Hence,
∠1 = 9(14.3) = 129°
∠2 = 180 - 129 = 51°
Vertically opposite angles share the same vertex. Vertically opposite angles are equal.
Therefore,
9x = 3x + 9
9x - 3x = 9
6x = 9
x = 9 / 6
x = 3 / 2
x = 1.5
Therefore,
∠1 = 9(1.5) = 13.5°
∠2 = 13.5°
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In a cinema there are 28 rows and in each row is 22 seats Each ticket coast 8.10 work out an estimate for the total income from the ticket sales
As there are 28 rows and in each row has 22 seats, then, the estimate of the total income from the ticket sales equals to $4,989.60.
What is known as total income?In a general sense, a total income means the gross income from all sources less certain deductions such as expenses, allowances and reliefs. But in the question context, it means the revenue, which is the total amount of income generated by the sale of goods and offering of services related to the primary operations of the business.
Given data
Cinema have 28 rows
Cinema have 22 seats per row
Each ticket cost 8.10
Total Income = $8,10 * 28 rows * 22 seats
Total Income = $4989.60
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PLEASEEEE HELP LE OUT!!!
The steps a student preformed to solve the equation 7h - ( 3h - 5) = 2(h - 7 ) are shown below. Explain each step the student preformed to solve the equation
Answer:
[tex]{ \sf{7h - (3h - 5) = 2(h - 7)}} \\ \\ { \sf{7h - 3h + 5 = 2h - 14}}[/tex]
[distributive property open brackets ]
[tex]{ \sf{4h + 5 = 2h - 14}}[/tex]
[simplification of either sides]
[tex]{ \sf{4h - 2h = - 14 - 5}}[/tex]
[operating similar terms]
[tex]{ \sf{2h = - 19}} \\ [/tex]
[simplification]
[tex]{ \sf{h = \frac{ - 19}{2} }}[/tex]
a refrigerator was originally priced at $250. it was then put on sale for 20% of. what is the number of dollars in the final price of the refrigerator if an additional 15% is taken off from the sale price?
The final price of the refrigerator after the additional 15% discount is $170
Given
The original sale price of the refrigerator = was $250
Given a 20 % discount on the original price, the new sale price would be as follows
Sale price = original price - Discount
= [tex]250-(\frac{20}{100} )250[/tex]
Sale price = $200
After this an additional 15% discount is given on new sale price.
So again deducting the discount from the sale price we get,
Sale price = 200 - discount(15%)
= [tex]200-(\frac{15}{100} )200[/tex]
Sale price = 170
Hence the final sale price after discount is $170
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A submarine to study changes in the sea level of the Pacific Ocean
descends 420 feet below sea level. 3 hours later, it makes an ascent
of 170 feet. What is the submarine's new position?
ANSWER QUICK!!!!
You use floor tiles to help you learn a new dance move. You move 2 tiles right and 3 tiles up. Then you move 1 tile left and 1 tile down. Rewrite the composition as a single translation.
The given composition as a single translation is (x,y)→(x+1,y+2) .
In the question,
two translation are given , we have to write the composition of two translation in a single translation ,
we choose arbitrary points (x,y) in the tile , and find the horizontal and vertical shift in the coordinates of point after both translations .
let A(x,y) be an arbitrary point in the tile
So , by the first translation
"move 2 tiles right and 3 tiles up" ,
after first translation, the coordinates are A'(x+2,y+3)
The second translation "you move 1 tile left and 1 tile down" , will map A'(x+2,y+3) to
A"(x+2-1 , y+3-1)
= A"(x+1 , y+2)
Therefore , the single translation rule for the composition is (x,y)→(x+1,y+2) .
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Evaluate u + xy, if u = 18, x = 10, and y = 8
The value of u + xy, if u = 18, x = 10, and y = 8 is 98
What are algebraic expressions?
Algebraic expressions are defined as mathematical expressions that are made up of constants, variables, coefficients, terms and factors.
These algebraic expressions are also composed of arithmetic operations, such as;
SubtractionAdditionDivisionMultiplicationParenthesesBracket, etcGiven the expression;
u + xy
Where;
u = 18x = 10y = 8Now, substitute the values into the expression;
18 + 10(8)
expand the bracket
18 + 80
Add the values
98
Hence, the value is 98
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I'm stuck in this word problem pls help me ty
Answer:
GREAT question i have no idea
Step-by-step explanation:
tony uses 12 4 1 and 7 to make a new number
Answer:
ishbekshbrishdhtjekdhhfjeid
what is 7/30 as a decimal
Answer: 7/30 as a decimal is 0.23333333333333
Hope this helps!
why is the answer that tho
Answer:
question tho??
Please help!!! How are tjhey parallel!?
Answer:
yeah
Step-by-step explanation:
They do not intersect???
What math is being used here? (Subject names)# 3
K
Assume that when human resource managers are randomly selected, 64% say job applicants should follow up within
two weeks. If 7 human resource managers are randomly selected, find the probability that exactly 4 of them say job
applicants should follow up within two weeks.
The probability is.
(Round to four decimal places as needed.)
BCEXIS
Using the binomial distribution, there is a 0.2740 = 27.40% probability that exactly 4 of them say job applicants should follow up within two weeks.
For each manager, there are only two possible outcomes, either they say that job applicants should follow up within two weeks, or they do not say it. The opinion of a manger is independent of the opinion of any other manager, hence the binomial distribution is used to solve this question.
What is the binomial distribution formula?The formula for the probability of x successes is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.In the context of this problem, the parameters are given as follows:
n = 7, p = 0.64.
The probability of exactly 4 saying that applicants should follow up within two weeks is P(X = 4), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7,4}.(0.64)^{4}.(0.36)^{3} = 0.2740[/tex]
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PLEASE HELP ASAP!!!!!!!!!!
Answer:
picture pls
Step-by-step explanation:
I need clearer pic pls
In the figure shown, lines fand g are parallel.
Select the angle that is congruent to angle 1.
(A.) Angle 2
(B.) Angle 6
C.) Angle 7
D. Angle 8
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The given point were reflected about the line y = x and the coordinates the reflected point (-5 , 3) is (3, - 5)
According to the question, given that
point reflected line y =x,
Reflected point coordinates of (-5, 3), then find the coordinates of the point after in the line of symmetry :
(-5, 3) → (3, - 5)
A reflection is referred to as a twist in geometry. A reflection is the mirror image of shape . A line, called the line of reflection, will agree an image to reflect without change it. When all of the points in a figure are evenly spaced apart from one another, the two figures are said to reflect each other. The reflected picture should have the same size and shape as the original, but it faces the opposite way. Changes in position during contemplation may also result in translation. Pre-image and image are terms used to refer to the same thing in this context. ABC and A'B'C are used to represent the pre-image and image, respectively.
A reflection point is similar to staring at a flipped mirror picture of yourself.
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