Step-by-step explanation:
Let's pretend our point is actually a complex number. That would make the point -2–3i. Why would we do this? Well, rotation of complex numbers is simply a matter of multiplication, in this case by 1∠−90° , or -i.
So to start, you shift the point of rotation to 0+0i, rotate it by multiplying, then shift it back to the axis of rotation.
z=−i[(−2−x0)+(−3−y0)i]+(x0+iy0)
=−3−y0+x0+(2+x0+y0)i
x=Rz
y=Iz
Thus the new point is at (−3+x0−y0,2+x0+y0)
hence (-3,2)
Solve the equation. Find x.
20x + 5 - 0 = 5x + 32.5*2
Michele has 5 coins Worth 0.75 in all. What coins does she have
Answer:
2 quarters, 2 dimes, and 1 nickel
Step-by-step explanation:
25 times 2 = 50
10 times 2 = 20
1 times 5 = 5 +
____________
0.75
The coins can be distributed in the following manner -
2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Michele who has 5 coins Worth 0.75 in all.
We can distribute the coins in the following manner -
2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75
Therefore, the coins can be distributed in the following manner -
2 quarters (2 x 25) + 2 dimes (2 x 10) + 1 nickel (5) = $0.75
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what is one third of 16
Answer:
It is 16over 3or 5.333333333333
Step-by-step explanation:
1/3*16=16/3
16/3=5.33333333333333
5(x-2) over 3 = -x+2
x=[?]
Step-by-step explanation:
X = 8/9
X = 8 Over 9
X = 8 Over 9
x = 2
Step-by-step explanation:
5(x-2) = 3(2-x)
5x-10 = 6-3x
8x = 16
x = 2
the area of the floor of a cubical room is 49m .find the area of 4 walls of a room.
Answer: [tex]196m^2[/tex]
Step-by-step explanation:
since it's a cube the floor is in square shape
area of one wall = [tex]a^2[/tex] area of 4 walls = = [tex]4[/tex]×[tex]49[/tex] = [tex]196[/tex]Answer:
SINCE ITS A CUBE OF FLOOR SHAPE.
area of 1 wall=a²
=4
area of 4 wall=4x49
=169m²Ans.
The first term in an arithmetic sequences is 8. The fourth term in the sequences is -4. The eighth term in the sequences is -20. Write the explicit form that would be used to find the nth term in the sequence. Show the steps you took to write the simplified explicit form.
HURRY PLEASE!!!!!!
Answer:
do you need that or something else
find the greater common factor
2x^2+7x-30
Answer:
ty
Step-by-step explanation:
Help me please! I need this solved.
Answer:
c(10) = 10c i believe
Step-by-step explanation:
or the answer in the picture
A tunnel is constructed with a semielliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet. What is the height of the tunnel 4 feet from the edge? Round your answer to the hundredths place.
4.01 feet
9.37 feet
13.08 feet
29.85 feet
This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.
Given:
A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 80 feet, and the maximum height at the center of the tunnel is 30 feet.
Find:
The height of the tunnel 4 feet from the edge is.
Let us consider,
The center of the concerned ellipse at the centre of its width of 80 feet. Let us consider
[tex]\begin{alligned}2a&=80\\\\a&=\dfrac{80}{2}&=\bold{40\:feet}\end{aligned}[/tex]
Since the maximum height at the centre of the tunnel is 30 feet, we can say that b = 30 feet.
Now, considering the centre of the tunnel as origin, we can write the equation of the ellipse as:
[tex]\bold{\dfrac{x^{2} }{a^{2} } +\dfrac{y^{2} }{b^{2} } =1}[/tex]
If we need to find the height of the tunnel 4 feet from the edge, we are looking for the height of the tunnel at 40 - 4 = 36 feet from the center of the tunnel.
Therefore, we need to find y from the equation of the ellipse, when x = 36 feet.Hence,
[tex]\begin{aligned}\dfrac{36^{2} }{40^{2} } +\dfrac{y^{2} }{30^{2} }&=1\\\dfrac{1296}{1600} +\frac{y^{2} }{900}&=1\\y^{2}&=(1-\frac{1296}{1600} )\times900\\y^{2}&=(1-0.81)\times900\\y^{2}&=0.19\times900\\y^{2}&=171\\y &=\sqrt{171\\\bold{y&=13.08}\end{aligned}[/tex]
Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.
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Answer:
This can be determined by ellipse formula. Therefore, the height of the tunnel 4 feet from the edge is 13.08 feet.
Step-by-step explanation:
because of the reason that the other one said so, and im answering cause i want more points and to maintain my streak, and brainly stop taking down my answers!
For the pair of similar triangles, find the value of x.
2x8
x+8
24
The value of x is a
(Simplify your answer. Use a comma to separate answers as needed.)
Answer: x = 22
Step-by-step explanation:
Compare the 2 triangles
[tex]\frac{2x-8}{24} = \frac{45}{x+8}[/tex]
Cross multiply
(2x-8) (x+8) = 45 x 24
2x^2 + 16x - 8x - 64 = 1080
2x^2 + 8x - 64 - 1080 = 0
2x^2 + 8x - 1144 = 0 ---> divide by 2
x^2 + 4x - 572 = 0
(sum and product)
x^2 - 22x + 26x - 572 = 0
x(x - 22) + 26(x - 22) = 0
(x + 26) (x - 22) = 0
x + 26 = 0
x = -26
x - 22 = 0
x = 22
بلاد سركوليشن سيستم
Which inequality has a solution that is the set of all real numbers?
12 < 14
x < 12
12 > 14
x > 14
Answer:
12<14
x<12
14>12
14>x
Step-by-step explanation:
I dont know if it is correct but I think it is that way try
The scale of a blueprint is 1 in.=20 ft.
The length of a wall in the blueprint is 2.5 in. What is the length of the actual wall?
What is the blueprint length of an entrance that is 5 ft wide?
Answer:
1) 50 feet
2) 0.25 or 1/4 inches
Step-by-step explanation:
If one inch is equal to 20 feet, then multiply 20 by 2.5 to find the length of the actual wall
5 feet is a fourth of 20 feet, and since 1 inch is equal to 20 feet, it would also be a fourth of an inch
5) John Tavares needed some new plants for his apartment. Each tree he purchased was
21.99. If John bought 4 trees and left a 34% tip, how much did he pay in total for the
plants including the tip?
Answer:
$117.87
Step-by-step explanation:
4 trees x $21.99 = $87.96
34% x $87.96 = $29.91 tip
Total = $87.96 + $29.91 = $117.87
A tiger shark swims an average of 32 miles per hour. About how many hours will it take the tiger shark to swim 8 miles?
Answer:
0.25 hours, or 15 minutes
Step-by-step explanation:
Ok, so the rate is 32 miles per hour, so it would take about 1/4 of a hour to go 8 miles (8/32= 0.25)
what is 4 1/3-(-2/3)
passes through (1,4) and is parallel to the line y=2x-3
Answer:
y = 2x + 2
Step-by-step explanation:
Slope = 2
y-intercept: 4 - (2)(1) = 2
i need help with get more math
Answer:
I'm not sure I understand but if you want more math to do look up Quizlet and do some of those tests
2.4x + 7.2 – 4.3 plz.
Answer:
2.4x+2.9
Step-by-step explanation:
What is 193 divided by 16
Answer:
12.0625
Step-by-step explanation:
Please help (view screenshot)
Answer:
h(2)=8
Step-by-step explanation:
The problem basically asks you to substitute 2 in, hence h(2).
Here is your base equation.
h(x)=-x^2+6x
Plug in 2.
h(2)=-2^2+6(2)
Simplify, using PEMDAS.
h(2)=-4+12
h(2)=8
There's your answer!
Hope this helped :)
If 34+5=36, 56+2=39, 27+6=45, 47+5=48, 28+1=33, then what is 41+5?
Answer: 56
Step-by-step explanation:
can someone please help me with this? i don’t understand it at all
Answer: I’m pretty sure they are similar because they have the same interior degree.
Step-by-step explanation:
Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below.
Combine like terms: –10.9p + 3.9 = –9.18
Apply the next steps to solve the equation. What is the solution?
p =
Answer:
I think its um 1.2 im sorry if im wrong
Step-by-step explanation:
Answer:
−10.9
Step-by-step explanation:
−4.6p−6.3p+3.9
Combine −4.6p and −6.3p to get −10.9p.
dp/d (−10.9p+3.9)
−10.9p ^1−1
so it is −10.9
Your friend drinks 2/3 of water. You dink 5/7 of a bottle of water find the difference of the amounts of water lift in each bottle
Answer:
the difference is 1/21
Step-by-step explanation:
2/3 equals 14/21 and 5/7 equals 15/21
Zoom in to see, NEED HELP ASAP please don’t just comment. Given that ABC EDF use the image below.
Answer:
Your missing stuff
Step-by-step explanation:
You are a missing way too many things these questions can not be answered but I'm gonna guess and say df is 17
i need help its math
Answer:
[tex]x=47[/tex]°
Step-by-step explanation:
May I please receive help?
Please?))
Answer:
50°
Step-by-step explanation:
Please leave a “thanks” heart if I helped.
Larry works for a tree farmer and needs to plant new saplings (young trees). He can plant 27 saplings per hour. He needs to plant 178 total saplings and has already planted 16 saplings.
Which equation and answer shows the number of hours (h) it will take for him to plant the rest of the saplings?
Answer:
27h+16=178 I believe would work as an equation for this problem
Step-by-step explanation:
The required time to plant the rest of the saplings is 6 hours, and 27 + 16 = 178 is the required expression.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let the number of hours be h,
He can plant 27 saplings per hour.
He needs to plant 178 total saplings and has already planted 16 saplings.
So, according to the quesiton,
27h + 16 = 178,
27h = 162
h = 162/27
h = 6
Thus, the required time to plant the rest of the saplings is 6 hours,
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A cuboid has
the total surface area 236 CM square if its length and height are 8 cm and 6 CM respectively ?what is the breath?
Answer:
i think its 24 may i please have brainliest i need it for my goal
Step-by-step explanation: