Answer:
The area y>x will belong to the trapezoidal area. Thus, the area of the trapezoid = 0.5*(4+1)*3 = 15/2. Finally, the required probability = trapezoid ...
Step-by-step explanation:
last one… someone help please.
Answer:
32 degrees
a triangle is = to 180 degrees
easy problem nice about of points
Answer:
1
Step-by-step explanation: i am not sure
does anyone have an answer to this question?
Answer:
8.9 cm to 1 dec. place.
Step-by-step explanation:
First, use Pythagoras to find the length of BD.
BD^2 = 6^2 + 7^2 = 85
BD = √85.
BM = √85 / 2.
Consider the triangle TBM, by Pythagoras:
TB^2 = BM^2 + MT^2
MT^2 = 10^2 - (√85 / 2 )^2
= 100 - 21.25
= 78.75.
MT = 8.874
29. Martin has some dollar notes. 20% of the notes are $10 notes, 40% of
the remainder are $5 notes and the rest are $2 notes. He has a total
of $1026. How many notes does Martin have altogether?
Answer:
225 notesStep-by-step explanation:
Let the number of notes is x.
20% of notes is:
0.2x40% of the remainder is:
40% of 0.8x, so it is 0.8x*0.4 = 0.32xRemaining notes are:
x - 0.2x - 0.32x = 0.48xTotal of the notes:
0.2x*10 + 0.32x*5 + 0.48x*2 = 10262x + 1.6x + 0.96x = 10264.56x = 1026x = 1026/4.56x = 225help me on these questions pls
Answer: Beau and Kai are the similar triangles. If you add 55 and 61 degrees you come up to 116. Since their are 180 degrees in a triangle, you know that the other angle needs to be 64 degrees. On Kai's the 55 and 64 degrees come up to 119 degrees leaving 61 degrees for the unknown angle. Each has an angle with 55 degrees, 64 degrees, and 61 degrees
Step-by-step explanation:
Factor 26r3s 52r5 â€"" 39r2s4. What is the resulting expression? 13(2r3s 4r5 â€"" 3r2s4) 13r2s(2r 4r3 â€"" 3s3) 13r2(2rs 4r3 â€"" 3s4) 13r2(26r3s 52r5 â€"" 39r2s4).
The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)
We want to factor the algebraic expression;
26r³s + 52r^(5) - 39r²s⁴
Now, we need to first find the highest common factor here and factorize out.
First of all for the letters;
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus,in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
Read more about factorization of algebraic expression at; https://brainly.com/question/11434122
Carmen is given a parallelogram and is trying to prove that the opposite angles of a parallelogram are congruent. She draws a parallelogram and a diagonal as shown.Along with the definition of a parallelogram, which pair of reasons can Carmen use for her proof?
Angles theorem and Reflexive property of congurence
The solution is
Each diagonal of a parallelogram separates it into two congruent triangles
So , ΔABC ≅ ΔCDA
Opposite angles are congruent
So , ∠B ≅ ∠D
What is a Parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the parallelogram be ABCD
Now , AC is a diagonal of the parallelogram
According to the postulates of parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
And ,
From the figure , we can deduct that ΔABC ≅ ΔCDA by
Angle A is congruent to angle C, and angle D is congruent to angle B
So , from congruent triangle theorem ΔABC ≅ ΔCDA
And ,
∠B ≅ ∠D
Because Opposite angles are congruent of a parallelogram
Hence , Each diagonal of a parallelogram separates it into two congruent triangles
So , ΔABC ≅ ΔCDA
Opposite angles are congruent
So , ∠B ≅ ∠D
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what is the value of the expression 5 + 6 x (5 - 2) + 9
find gain percent when cost price is rs 804 and selling price is rs 1004
Selling Price = 1004r
Cost Price = 804r
1004-804=200r
Gain% = 200/804 · 100 = 20000/804 = 23.80% or 29%
GIVING BRAINLIEST please its due in 10 min and please show work
Samantha invests a total of $18,000 in two accounts. The first account earned an annual interest rate of 11% and the second account earned an annual interest of 7%. At the end of one year, the total amount of money gained was $1,680.00. How much was invested into each account?
$ was invested in the account that earned 11% and
$ was invested in the account that earned 7%.
Answer:
Step-by-step explanation:
X + Y = 28500 (Equation 1).
1.11X + .9Y = 29010 (Equation 2).
HELP FAST!!!! A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. Is t a function of G? Explain your reasoning.
Answer:
27
Step-by-step explanation:
just do 5+10+12
determine if the two triangles are congruent.If they are state how u know
Answer:
17) Congruent because two sides are congruent and so is the 90 degree vertical angle.
18) Congruent because they have a congruent leg and congruent angle, and they share a side which is congruent to itself. (SAS)
19) Congruent because all three sides are congruent (SSS)
20) congruent, all three sides are the same (SSS)
4. Jeremy is starting a juice-bar business. The cost to start the business is $32,000 and the
monthly costs are $4,000. He has been earning $5,600 every month in revenue. In how many
months will Jeremy's business break-even and earn a profit?
Answer:
Step-by-step explanation: Ok so the important thing is to figure out how much he makes each month. if he earns 5,600 but the cost are 4,000 he makes 1,600 every month. To figure out how many months it will take we divide 32,000 by 1,600 to get 20. that is when he breaks even, 20 months. To make a profit it will be 21 months.
Select all the expressions that equal:
-7 - (- 12)
below:
Answer:
c and e
Step-by-step explanation:
[tex]-7-(-12) = -7 +12 = 12 +(-7)[/tex]
help please ,,,,,,,,,
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1:
m = 0.125, b = - 3
y = (1/8)x + (-3)
y = 0.125x - 3
(Graph is attached)
Answer:
Step-By-Step explanation:
Formula for any straight line is
y = mx + c
where m = slope, c = constant
Given: y = -3, m = 1/8
Substitute into formula
(y - intercept occurs when x = 0)
-3 = 1/8(0) + c
-3 = 0 + c
c = -3
y = 1/8x - 3
What is the slope of the line
HELP MEEEE PLEASEEEE!!!!!
The graph of the step function g(x) = -x] + 3 is
shown.
What is the domain of g(x)?
5
O {xx is a real number}
O {x|x is an integer}
O {XI-2 s x <5)
O {xl-1 sxs5}
Answer:
{x| -2 ≤ x < 5}
Step-by-step explanation:
The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C
Look here for visuals:
The domain of the step function g(x) is (c) {x I -2 <= x <5 }
The domain of a function is the set of input values the function can take.
From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle
The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values
Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }
Read more about domain at:
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Write the equation of the line that passes through the given points.
(0,−5) and (9,−1)
Answer:
y=4/9x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-5))/(9-0)
m=(-1+5)/9
m=4/9
y-y1=m(x-x1)
y-(-5)=4/9(x-0)
y+5=4/9(x)
y+5=4/9x
y=4/9x-5
Find the value of x, y and z in the rhombus below
Answer:
... ................................
Quien me ayuda? pls!!!
Answer:
The answer is B
Step-by-step explanation:
You need to find the derivitive of the equation and ,ultiply by B!!!
(x+5)²=
(5x+9)²=
(10x²+12)²=
(x³+2x)²=
These are the coordinates of a
quadrilateral. Determine whether it is
also a trapezoid, parallelogram, or
neither.
J(5,5), K(8,6), L(9,9), M(6,8)
A. trapezoid
B. parallelogram
C. neither
Answer:
parallelogram is the answer
Answer:
Step-by-step explanation:
The quadrilateral is a parallelogram ( more precisely is the rhombus )
Find the ratio of the following is175and210
Answer:
5:6
Step-by-step explanation:
175/210
Divide both sides by 5
175/5 : 210/5
35 : 42
Divide both sides by 7
35/7 : 42/7
5 : 6
The ratio of 175 and 210 in its simplest form is; 5:6
What Is a ratio
A ratio is the simplest form to which the quotient of two numbers can be represented.
The ratio of 175 and 210 can be evaluated by considering their HCF, highest common factor.
Their HCF is 35;Hence, the ratio of 175 and 210 is ; 5:6
Read more on ratios;
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What is the slope-intercept equation of the line below?
O A. y=-2x+1
B. y = 2x + 1
Oo
C. y = -2x-1
O D. y = 2x-1
Answer:
C
Step-by-step explanation:
It has a negative slope and it crosses the y axis at -1
Which expression is equivalent lo the following complex fraction?
Answer:
[tex] \frac{ - 1}{2} [/tex]
Hope this helps you !!How i can answer this question
Answer:
4k+11
Step-by-step explanation:
There you go. Happy to help.
The drama club is selling tickets to their play to raise money for the show's expenses:
Each student ticket sells for $5 and each adult ticket sells for $7.50
The auditorium can hold no more than 75 people.
The drama club must make a minimum of $450 from ticket sales to cover the show's costs.
If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
see attached
Step-by-step explanation:
The two inequalities you want to plot are ...
x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people
5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs
__
These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.
The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.
On of the points in the potential solution area is shown in the attached graph:
(x, y) = (25, 50) . . . . fills the theater, gives $500 revenue
CARD #2:
Bobby says the
dilation can be
represented by
(x, y).
A figure on a
coordinate plane is
dilated. Point A(3,9)
is dilated to A'l, 3).
Betty says the
dilation can be
represented by
(3x, 3y).
Answer:
When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky). For enlargements, k > 1.
Thank you will give thanks + more + brainliest!!!!
Given the system of linear equations:
{x+6y=6 y= 1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answer:
You must graph this on a graphing site
Step-by-step explanation:
Use one from enternet and type in the equation!!
Jordan goes to a high school with 1900 students. He surveyed a random sample of 240 students about their favorite sport, and 150 said that football was their favorite sport. Jordan reported to the school newspaper that football is the favorite sport of 1188 students. What inference did Jordan make? PLSS HELP QUICK !!
Answer: answer b
Step-by-step explanation: