Answer:
x = 4cos(t) – 1 and y = 4sin(t) + 3
Step-by-step explanation:
Equation of a circle:
The equation of a circle has the following format:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
In which:
The centre is is [tex](x_0,y_0)[/tex] and r is the radius. The parametric equations are given by:
[tex]x(t) = r\cos{(t)} + x_0[/tex]
[tex]y(t) = r\sin{(t)} + y_0[/tex]
In this question:
[tex](x + 1)^2 + (y - 3)^2 = 4^2[/tex]
This means that the centre is [tex](-1,3)[/tex] and the radius is 4. So, the answer is:
x = 4cos(t) – 1 and y = 4sin(t) + 3
I have no idea what to do help me solve this please and please provide an explanation.
Question: what is the value of x?
Answer:
x = 48 (in degrees, I assume)
Step-by-step explanation:
Note that the two horizontal lines have those extra arrowheads on them? The red ones? That notation means those lines are parallel to each other.
In geometry, we learn that when two parallel lines are crossed by a third line (called a 'transversal'), alternate interior angles are congruent.
The two angles with labeled quantities are alternate exterior angles. They are 'alternate' because they are on opposite sides of the transversal line, and 'exterior' because they are above and below the the two horizontal lines, not contained in the interior area between them.
Therefore, 2x + 2 = x + 50
-x - 2 = -x - 2
x = 48
this one anyone can help
Answer:
Diagram 1:
a = 54°
b = 54°
Diagram 2:
a = 74°
b = 106°
c = 106°
d = 65°
e = 65°
Step-by-step explanation:
Diagram 1:
a = 54° (alternate angles are equal)
b = a (vertically opposite angles are equal)
a = 54°
Therefore,
b = 54°
Diagram 2:
a = 74° (alternate angles are equal)
a + b = 180 (sum of angles on a straight line)
74 + b = 180
Collect like terms
b = 180 – 74
b = 106°
74 + c = 180 (sum of angles on a straight line)
74 + c = 180
Collect like terms
c = 180 – 74
c = 106°
d = 65° (corresponding angles are equal)
e = d (vertically opposite angles are equal)
d = 65°
Therefore,
e = 65°
i'm a little bit confused about this question.
Answer:
4
Step-by-step explanation:
Can anyone help me I will really appreciate it.
Answer:
-9 = Yes
8 = Yes
-8 = Yes
9 = No
I need help please it’s due tomorrow
Answer:
<E(it is obtuse), <C, <D
The angle opposite to the longer side is greater than the angle opposite to the shorter side
^^for the second one use the same logic <C, <B, <A
If triangle ABC is similar to triangle PQR, find the value of x and y.
Answer:
x = 9
y = 6
Step-by-step explanation:
ΔABC ~ ΔPQR
Therefore, corresponding sides of these similar triangles will be in the proportional.
[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]
[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]
[tex]\frac{6}{x}= \frac{8}{12}[/tex]
x = [tex]\frac{12\times 6}{8}[/tex]
x = 9
Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]
y = [tex]\frac{12\times 4}{8}[/tex]
y = 6
erica watch 1/2 of a movie in the morning and she watched some at night and by the end of the day she still had 1/3 of left how much did she watch at night?
The graphs of two linear equations are shown.
y = 3x – 3
y= 2x - 8
Which is the solution of this system of equations?
The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 6 feet. Approximately how many square
feet of the turf need to be painted for a base circle? Use 3.14 for it and round your answer to the nearest tenth.
O 7.5 square feet
O 9.4 square feet
O 18.9 square feet
O 28.3 square feet
Answer:
28.3
Step-by-step explanation:
pi r^2 = area of circle
6/2 = radius
3.14(3)^2
28.26 -> 28.3
X+3y=-2
3x+4y=-6
USE SYSTEMS BY SUBSTITUTION.
X=
Y=
Answer:
X=-2
Y=0
Step-by-step explanation:
X+y=-2 = x=-2-y
3x+4y=-6
3(-2-y)+4y=-6
-6-3y+4y=-6
y=0
x+3(0)=-2
x=-2
Answer:
[tex]\boxed {\boxed {\sf (-2,0)}}[/tex]
Step-by-step explanation:
To solve by substitution we must first isolate 1 variable in an equation.
Let's use the first equation.
[tex]x+3y= -2[/tex]
Subtract 3y from both sides to isolate the variable x.
[tex]x+3y-3y= -2 -3y[/tex]
[tex]x= -2 -3y[/tex]
Now we can substitute the expression (-2-3y) in for x in the second equation.
[tex]3x+4y= -6[/tex]
[tex]3(-2-3y)+4y= -6[/tex]
Distribute the 3. Multiply each term inside the parentheses by 3.
[tex](3*-2)+ (3*-3y)+4y=-6\\-6-9y+4y=-6[/tex]
Combine the like terms on the left side.
[tex]-6-5y= -6[/tex]
Add 6 to both sides to isolate the variable.
[tex]-6+6-5y=-6+6\\-5y=0[/tex]
Divide both sides by -5.
[tex]-5y/-5=0/-5 \\y=0[/tex]
Now we know that y is equal to 0 and can substitute it into the first equation and find x.
[tex]x+3(0)=-2[/tex]
[tex]x+0=-2 \\x= -2[/tex]
x is equal to -2 and y is equal to 0.
A box contains tiles that cover 8.5 square feet of floor area. Pamela needs to install the tiles on 518.50 square feet of floor. How many boxes of tile does she need?
Jose deposits S300 into an account that pays simple interest at a rate of 6% per year. How much interest will he be paid in the first 3 years?
Answer:
$54
Step-by-step explanation:
300 times 0.06 times 3
0.06 times 3 = 0.18
300 times 0.18 = 54
The simple interest is $54
Answer:
$54
Step-by-step explanation:
A = P(1 + rt)
300(1 + (0.06 × 3)) = 354
What is the solution to the inequality 7x + 2 < -3x + 1?
Ο Α. α
<
3
4
ОВ. І
>
Alco
1
2
<
10
O D.
2
>
10
Answer:
and DJ ssksb did did isbn dhe9susaew7s ene 8th box hcm box bro sb d
Step-by-step explanation:
ishdbd works zjsbdjs s nsie djsid
Find the nth term of the following arithmetic sequence.
f(1) = -7, d=3, n = 17
Answer:
f(n)=17+3(n-1)
f(17)=65
Step-by-step explanation:
arithmetic sequences are in form:
f(n)=f(o)+d(n-1)
f(1)=17=f(0)
f(n)=17+3(n-1)
f(17)=17+3(16)=65
In ΔTUV, the measure of ∠V=90°, the measure of ∠T=55°, and VT = 56 feet. Find the length of TU to the nearest tenth of a foot.
Answer:
97.6
Step-by-step explanation:
Answer:
97.6
Step-by-step explanation:
I NEED HELP NOW PLZ!!!
Answer:
c
Step-by-step explanation:
x=-8
y= -5
therefore y=-5
and c is the answer
cogenuity Quiz
Find the value of 6^3.
OA) 6
ОВ) 36
OC) 72
OD) 216
Answer: OD) 216
Step-by-step explanation: 6^3 multiple it three times 6x6x6=216
A baby girl weighed 6 pounds at birth and 8
pounds one month later. How many ounces
did the baby gain in her first month of life?
A. 16 ounces
В.
64 ounces
C. 32 ounces
D. 48 ounces
Answer: C
Step-by-step explanation:
1 pound is equivalent to 16 ounces. She earned 2 pounds in 1 month, meaning that you have to multiply 16 times 2, which gives 32 ounces. Hope this can help you! Have a great day/night!
what is the area of this square (look at the picture)
Answer:
484
Step-by-step explanation:
22 times 22
Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?
Answer:
He made $414.90 in all.
Step-by-step explanation:
56.25 * 6 = $337.50
25.80 * 3 = $77.40
77.40 + 337.50 = $414.90
A) 1080°
C) 720°
B) 1800°
D) 1620
Answer:
D- I hope I helped you. Good luck.
Matthew and Lizbeth are college students. Matthew has $87 in his bank account. He spends $45 on groceries. He deposits $30 into his account. Then he spends $112 on books for school. Lizbeth has $41 in her bank account. She deposits $50 into her account. Lizbeth says that if she spends $130 on books she will have a greater debt than Matthew. Show are explain why Lizbeth's thinking is correct or incorrect. Enter your work or explanation in the box provided.
Answer:
$365
Step-by-step explanation:
did the math
Which of the following best describes term response variable
The dependent variable responds to variations in the separate variable manipulated during the experiment. It allows you to understand whereas if changes involved possess or are not significantly linked or whether they are because of certain factors.
The variable may change as that of the explained variable modifications.It's (dependent variable), which wishes to predict and explain is a response variable.An explanatory variable explains the changes.It can be anything that affects the variable response.It was only on the y-axis always (the vertical axis).Learn more:
brainly.com/question/5598457
Which of the following are characteristics of the cubic parent function? Select all that apply .
Answer:
A C & D
Step-step explanation:
There were 5 girls to every boy that attended the Spring Semester Mixer last year. At this rate, how many attended the mixer if 150 girls attended the mixer,
Answer:
150:30
Step-by-step explanation:
It's essentially saying 5:1, 5 girls to one boy.
so with this in mind.
150:x
150/5
30
therefore
150:30
Answer:
30 boys attended the mixer. ( Wow 5 girls for a boy thats alot )
Step-by-step explanation:
1. Divide 150 girls by 5 ( 5 for every boy ) = 30 boys.
Thats it lol.
Btw can I have brainliest if I got it correct please?
What is the midpoint of the line segment with endpoints (-2,-2) and (4, 6)
Answer:
(1, 2)
Step-by-step explanation:
Use the midpoint formula
x1 + x2 / 2 , y1 + y2 / 2
-2 + 4 / 2 , -2 + 6 / 2 =
( 1, 2 )
Which one, please?!
Quickly!
Answer:
c) FJ and GH
Step-by-step explanation:
1.
Krishna dai bought 40 bulbs for Rs. 800. 10 of them were broken.
He sold all remaining bulbs at Rs. 30 each. Find his profit or loss
percent
Answer:
He loses 100 Rs. during the process of buying and selling.
Step-by-step explanation:
1. When he bought 40 bulbs for 800 it meant that every bulb is 20 Rs. worth.
2. 10 of them were broken which means its -200 Rs. from the 800 he spent which leads to him losing 200 Rs.
3. He sold the remaining for 30 Rs. each and he had 30, which means 30 x 30 = 900 Rs.
4. We see that he got 100 more Rs. from the original price he bought the 40 bulbs for but 10 bulbs were lost throughout the way.
( Now there are 2 scenarios in this case )
1. The 10 remaining bulbs were to be lost as in the part of the profit he gained from selling the light bulbs for 30 Rs. which would lead to him losing 200 Rs. because he couldve sold the 10 if they werent broken.
2. The 10 remaining bulbs were to be lost as in part of the original price he bought them for which was 20 Rs. per light bulb which means that if they werent broken he couldve sold them for 100 Rs. .
( Now you may ask me why isnt it 300 Rs. in the first scenario and 200 Rs. in the second its because he gained 100 Rs. in the process of selling the light bulbs that werent broken. So we add 100 Rs. in both scenarios/cases )
I chose the second scenario because it seemed very reasonable to me, but you do as you see preferable.
I hope this helped have a good day!
Answer:
Profit %= 50%
Step-by-step explanation:
Price for 40 bulbs: Rs.800
Price for 1 bulb each: 800/40= Rs 20
Price for 10 bulbs= 10*20=Rs. 200
This means that Rs. 200 were wasted due to 10 bulbs being broken.
The remaining bulbs; 30 are sold at a price of Rs 30 each.....
In reality, the price of the remaining 30 bulbs: 30*20=600
Since the 30 bulbs are sold at the price of 30, they altogether cost 30*30=900
Profit= SP-CP; Profit= 900- 600= Rs 300
Profit%= 300*100/600= 50%
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.
This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan
Answer:
The correct answer is B. Financial analysis.
Step-by-step explanation:
Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.
Answer:
B.
Step-by-step explanation: