The possible coordinates of C and D are: C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)
How to determine the coordinates of C and D?The given parameters are:
A = (4,3)
B = (4,-5)
Perimeter, P = 30 units
Since points A and B are on the same x-coordinate, then the distance between them is:
AB = 3 - - 5
AB = 8
The perimeter of the rectangle is calculated using:
P = 2 *(AB + CD)
This gives
2 * (8 + CD) = 30
Divide by 2
8 + CD = 15
Subtract 8 from both sides
CD = 7
This means that points C and D are 7 units from points A and B, respectively.
If A = (4,3) and B = (4,-5), then the possible coordinates of C and D are:
C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)
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4. The chart above shows the results of survey taken by a movie theater. The theater asked what genre the mover goers preferred to see. If the theater owner asked 100 people, how many people would prefer Drama? Round to the nearest whole number. Show your work.
The Cost of operating the theater if there are 100 people at a show is 20,000Rs.
The theater is a place where the movies are shown on big screens and Speakers are used for the clear audio of the movie.
In a theater, there will be 3 to 4 shows for a movie or a different movie.
Theater can consist of 250 - 300 seats and can cost up to 250rs for a seat.
What is the meaning of cost?The average cost of a college education has gone up dramatically.
Consider a ticket cost of 200rs.
For 100 people in a show,
Cost = 200 × 100
Cost = 20,000.
Hence the cost of operating a theater if there are 100 people at a show is 20,000Rs.
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You just drove your car 450 miles and used 50 gallons of gas. You know that the gas tank on your car holds 16 1/2 gallons of gas.
What is the most number of miles you can drive on one tank of gas?
Answer: 148.5 miles
Step-by-step explanation:
450/50 gals= 9 miles can be driven for every 1 gallon.
Since we now know that our car uses 1 gallon of gas for every 9 miles we drive, we can now multiply the 9 miles with the 16 1/2= 16.5. So 16.5x9=148.5.
With our 16 1/2 gas tank, we can travel at least 148.5 miles before running out of gas.
Given f(a, b) = 3a2 – 2ab + 5b2 , determine (a) f(-2, 3) and (b) f(x+y, x-y)
Answer:
1) 45
2) 6x^2-4xy+10y^2
Step-by-step explanation:
1) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine (a) f(-2, 3)
Replace a with (-2) and b with (3):
3(-2)^2-2(-2)(3)+5(3)^2
3(4)-2(-6)+5(9) *Took care of exponents and performed some multiplication in the middle term.
12-12+45 *performed more multiplication
0+45 *additive inverses property applied
45 *performed some addition
2) Given f(a, b) = 3a^2 – 2ab + 5b^2 , determine f(x+y, x-y)
Replace a with (x+y) and b with (x-x-y):
3(x+y)^2-2(x+y)(x-y)+5(x-y)^2
*Explained binomial squares
3(x^2+2xy+y^2)-2(x+y)(x-y)+5(x^2-2xy+y^2)
*Expand product of the sum of two numbers with the difference of said numbers
3(x^2+2xy+y^2)-2(x^2-y^2)+5(x^2-2xy+y^2)
*Distribute
3x^2+6xy+3y^2-2x^2+2y^2+5x^2-10xy+5y^2)
*Combine like terms
6x^2-4xy+10y^2
Suppose we want to choose 3 letters, without replacement, from the 4 letters A, B, C, and D.
Answer:A) 24 waysB) 4 waysStep-by-step explanation:a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways
Step-by-step explanation:
a) permutation occurrs when order of choices matters.N = 4P3 = 4!/(4-3)! = 4!/1!N = 24 waysb) combination occurs when order of choices doesn't matter.N = 4C3 = 4!/3!(4-3)! = 4!/3!(1!)N = 4 ways(hope this helps:)
Use the nun
Se
2+n=8
Which is true?
A.n=4
B.n= 6
C.n=8
D.n= 10
E.n = 16
Answer:
it it B
Step-by-step explanation:
DUBLE POINTS BECAUSE OF SEMESTER TESTING
Jacques plays a game that involves drawing cards to move around the board. He uses a uniform probability model to determine the probability that he will win on his next turn. There are 8 blue cards, 8 green cards, 8 red cards, 8 yellow cards, and 8 orange cards. Jacques needs either a blue or an orange card to win on his next turn.
What is P(blue or orange)?
1/20
1/4
3/10
2/5
total no of cards = 40
p(blue) = 8 out of 40
p(orange) = 8 out of 40
p(blue or orange ) = 16 out of 40
16÷40 = 2/5.
the normal return on investment considered effective inflation and purchasing power inflation rate positive the normal rate return will be go to the real real return on investment
Answer:
What is the normal rate of return?
Normal rate of return . ' means the average rate of return that a firm would receive in an industry when conditions of perfect competition prevail.
Step-by-step explanation:
A training field is formed by joining a rectangle and two semicircles, as shown below. The rectangle is 86m long and 64m wide. Find the area of the training field. Use the value 3.14 for π, and do not round your answer. Be sure to include the correct unit in your answer. 64m 86m
To solve this problem, we have to find the area of the semi circles and the area of the rectangle and add them up together.
The area of the field is equal to 8719.36m^2
Area of the FieldLet us start by finding the area of the rectangle.
Data;
width = 86mlength = 64mArea of a rectangle is given as
[tex]a = length * width \\a = 86 * 64\\a = 5504m^2\\[/tex]
The area of the rectangle is 5504m^2
Area of the semicircle
The formula of a semi circle is given as
[tex]A = \frac{1}{2} \pi r^2[/tex]
But since we have two semi circles here, we can simply multiply it by two and the formula becomes
[tex]A = 2 * \frac{1}{2} \pi r^2\\A = \pi r^2[/tex]
But in the question, we have the diameter of the semi circle as the length of the rectangle.
[tex]radius = \frac{diameter}{2} \\radius = \frac{64}{2} \\radius = 32m[/tex]
The radius of the semicircle is 32m
Area of the semicircle is
[tex]A = \pi r^2\\A = 3.14 * 32^2\\A = 3215.36m^2[/tex]
The area of the field is
[tex]area of field = 3215.36 + 5504\\area = 8719.36m^2[/tex]
The area of the field is equal to 8719.36m^2
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the perimeter of a rectangle is 84cm if the width of rectanle is 16 cm Find its lenth
Answer:
26 cm
Step-by-step explanation:
Formula for Perimeter
Perimeter = 2(Length + Width)Solving (given Perimeter is 84 cm and width is 16 cm)
84 = 2(Length + 16)42 = Length + 16Length = 42 - 16Length = 26 cmAnswer:
L= 26cm
Step-by-step explanation:
Perimeter= 2(l x w)
Perimeter= 84cm
Width= 16cm
Length=?
84= 2l + 32
2l = 84-32
2l= 52
L= 52/2
L= 26cm
if the average of 8 numbers is 12 what is the sum of 8 numbers
Answer:
Step-by-step explanation:
i do not feel like saying all the info soooo yea the answer is drumroll pls
16 i think well thats what i got
Find the sum of the first 14 terms of the finite geometric series given as:
0.5+ (-1) +2+...
The sum of the first 14 terms of the finite geometric series 0.5+ (-1) +2+... is -2730.5
How to determine the sum of the series?The series is given as:
0.5+ (-1) +2+...
The above series is a geometric series, with the following parameters:
First term, a = 0.5Common ratio, r = -2Number of terms, n = 14The sum of the first 14 terms is calculated using:
[tex]S_n= a *(1 - r^n) \div (1 - r)[/tex]
So, we have:
[tex]S_{14}= 0.5 *(1 - (-2)^{14}) \div (1 + 2)[/tex]
Evaluate
[tex]S_{14}= -2730.5[/tex]
Hence, the sum of the series is -2730.5
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what is the slope of the line that passes thought the points (4,-6) and (-2,3)? write your answer on simplest form.
Step-by-step explanation:
[tex] \frac{y - y0}{x - x0} \\ \frac{ - 6 - 3}{ 4 + 2} \\ - \frac{9}{6} = - \frac{3}{2} = 1.5[/tex]
Express 29 l 360 ml into ml.
Answer:
569 millimetres because 290 +36 ml is 569
It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?
Your answer
A cylinder has a volume of 200 cm³. If the height of the cylinder is 10 cm, what is the radius of the cylinder
Answer:
2.5
Step-by-step explanation:
The radius of a cylinder formula is
R = √(V / π × h)Plug in
R = √(200 / 3.14 × 10)So . .
R = √(6.4)R = 2.5
( I rounded to the tenth decimal place so you know!)
what is the value of x for 3x^2 - x + 9 = 0
Correct option is A)
Consider the given equation,
3
2x
+10.3
x
−9=0
Let ,y=3
x
Now ,
y
2
−10y+9=0
y
2
−9y−y+9=0
y(y−9)−1(y−9)=0
(y−9)(y−1)=0
When,
x−9=0
x=9
Now ,
9=3
x
3
2
=3
x
x=2
When,
y−1=0
y=1
3
x
=1
3
x
=3
0
x=0
x=0,x=2
This is the answer
help im very confusedddddddddddddddd
31. (05.08 MC)
What is the equation for a geometric sequence with a first term of 3 and a second term of -9?
Answer:
[tex]a_n=3(-3)^{n-1}[/tex]
Step-by-step explanation:
Geometric sequence
General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termr is the common ratioGiven:
[tex]a_1=3[/tex][tex]a_2=-9[/tex]To find the common ratio r, divide consecutive terms:
[tex]\implies r=\dfrac{a_2}{a_1}=\dfrac{-9}{3}=-3[/tex]
Therefore, the equation is:
[tex]a_n=3(-3)^{n-1}[/tex]
53) Darryl wants to buy socks for $15.27. He
gives the cashier $20. What is his
change?
Answer:
$4.73
Step-by-step explanation:
just do 20 minus 15.27
How many solution that following equation has? 2x +4= 2x-5 0 1 02 O infinitely many
Answer:
NO SOLUTIONStep-by-step explanation:
2x +4 = 2x - 5
4 + 5 = 2x - 2x
9 = 0
NO SOLUTION
Given the figure below, find the values of x and z. z° 68° +14x84°
Answer:
z° = 68°
x = 2
Step-by-step explanation:
[tex](14x+84)^{0} =\frac{360-2(68)}{2} =112[/tex]
[tex]14x=112-84=28[/tex]
[tex]x=\frac{28}{14} =2[/tex]
Hope this helps
A couple Invested $6100 in an account some of it went into a savings account paying 3% annual simple interest . The rest was invested in a riskier mini - mall development plan paying 11% annual simple interest . The combined interest earned for the first year was $503 . How much money was invested at each rate ?
Answer:
4387.63
Step-by-step explanation:
what is the measure of an angle if the hypotenuse is 13 and adjacent side is 12?
[tex]cos(\theta)=\cfrac{\stackrel{adjacent}{12}}{\underset{hypotenuse}{13}}\implies cos^{-1}[cos(\theta)]=cos^{-1}\left( \cfrac{12}{13} \right) \\\\\\ \theta =cos^{-1}\left( \cfrac{12}{13} \right)\implies \theta \approx 22.62^o[/tex]
Make sure your calculator is in Degree mode.
Mrs. Jones decided to buy some pencils for her class. She bought 5 packages of pencils, and each package contained 57 pencils.
There are 19 students in her class and she divided up the pencils so that each student had the same amount of pencils. If there
were no pencils left over, how many pencils did each student get?
A. 24
B. 95
C. 3
D. 15
Answer:
15 pencils
Step-by-step explanation:
5 pencils * 57 pencils is 285 total pencils
285 / 19 = 15
alternatively you can do 57/19 * 5, which is also 15
simplify −4+x≤9 PLEASEE
Answer: HEYAA :))
I THINK YOUR ANSWER IS x≤13
Step-by-step explanation:
Solve for x by simplifying both sides of the inequality, then isolating the variable.
HOPEFULLY THIS HELPS YOOUUU
- MATTHEW ~^^
- - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Simplify -4+x≤9.
[tex]\diamond\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
❖ Add 4 on both sides:-
x≤9+4
x≤13
✯ So the values of x less than or equal to 13 will make this inequality true.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - -
NO LINKS!!!
Erica is playing Target One Fractions. She has these cards: 1,2,3,4,6.
a. Which three cards should she choose to make a whole number and a fraction that have a product close to 1?
b. Write an expression for the problem Erica will solve.
c. Solve the problem.
d. What is Erica's score for this round?
Answer:
a. 2, 3, 6
b. a/b × c = 1
c. a = 2, b = 6, c = 3 or a = 3, b = 6, c = 2
Step-by-step explanation:
Apparently, Erica wants to multiply a fraction by a whole number to get a result of 1. That means the fraction is the multiplicative inverse of the whole number.
__
a.There is only one set of three unique numbers among those given such that one of them is a composite number with the other two as factors. Erica must choose 2, 3, and 6.
__
b.If the three numbers are represented by a, b, c, Erica wants ...
a/b × c = 1
__
c.Multiplying the equation by b gives ...
ac = b
Among the numbers 1–6, only 2×3 = 6 will satisfy this equation. Erica can choose either of ...
a = 2, b = 6, c = 3 ⇒ (2/6)×3 = 1
a = 3, b = 6, c = 2 ⇒ (3/6)×2 = 1
__
d.No scoring information is provided.
Solve the equation.
4x – 2 = -3x2 + 3x
x = [ ? ],
Answer:
[tex]x = - 4[/tex]
Step-by-step explanation:
[tex]4x - 2 = - 3 \times 2 + 3x[/tex]
Calculate the product:
[tex]4x - 2 = - 6 + 3x[/tex]
Rearrange the terms:
[tex]4x - 3x = - 6 + 2[/tex]
Combine like terms:
[tex]x = - 6 + 2[/tex]
Calculate:
[tex]x = - 4[/tex]
Answer:
x = 1/2
Step-by-step explanation:
Combine exponents
4x-x-2=-3^2+3xx
4x-x-2=-3x^2+3x^2
Combine like terms
4x-2=-3x^2+3x^2
4x-2=0
Add 2 to both sides
4x-2=0
4x-2+2=0+2
Simplify:
Add the numbers
4x-2+2=0+2
4x=0+2
Add the numbers again
4x=0+2
4x=2
Divide both sides by the same factor
4x=2
4x/4 = 2/4
Simplify:
Cancel terms that are in both the numerator and denominator
4x/4 = 2/4
X= 2/4
Divid the numbers
X= 2/4
X= 1/2
Solution/ Answer
x= 1/2
Hope this helps
Can someone pls help me ! 20 points !
Answer:
60/13
Step-by-step explanation:
help will mark Brainliest
Answer:
A.
Step-by-step explanation:
16 multiplied by 2 is not 30
Hope this helps! ;-)
Answer:
a/top left
Step-by-step explanation:
16 x 2 is 32 not 30
Find the measure of the indicated angle to the nearest degree
Answer:
C
Step-by-step explanation:
All triangles come up to a 180 degrees so you can add and then subtract