Answers
Answer:
[tex] {x}^{2} + ( \frac{ \sqrt{3} }{2} ) {}^{2} = 1 \\ {x}^{2} = \frac{1}{4} \\ x = \frac{1}{2} \: \: or( \frac{1}{2} ) \\ x > 0 \\ therefore \: \: x = \frac{1}{2} [/tex]
Answer:
[tex]x=-\frac{1}{2}[/tex]
Step-by-step explanation:
equation of a circle: [tex](x - h)^2+(y-k)^2=r^2[/tex]
where (h, k) = center and r = radius
From inspection, we can see that the center of the circle = (0, 0)
and the radius = 1
[tex]\implies (x - 0)^2+(y-0)^2=1^2[/tex]
[tex]\implies x^2+y^2=1[/tex]
Substitute [tex]y=\frac{\sqrt{3}}{2}[/tex] into [tex]x^2+y^2=1[/tex] and solve for [tex]x[/tex]:
[tex]\implies x^2+(\frac{\sqrt{3}}{2})^2=1[/tex]
[tex]\implies x^2+\frac{3}{4}=1[/tex]
[tex]\implies x^2=\frac{1}{4}[/tex]
[tex]\implies x=\pm \sqrt{\frac{1}{4}}[/tex]
[tex]\implies x=\pm\frac{1}{2}[/tex]
As point P is in quadrant 2, [tex]x[/tex] is negative, so [tex]x=-\frac{1}{2}[/tex]
Related Questions
PLZ HELP ILL MARK AS BRAINLIEST
Answers
Answer:
[tex]2,712 \: {yd}^{2} [/tex]
Step-by-step explanation:
Height of cylinder (h) = 24 yd
radius of cylinder (r) = 6 yd
Lateral surface area of the cylinder
[tex] = \pi {r}^{2} h \\ \\ = 3.14 {(6)}^{2}(24) \\ \\ = 2,712.96 \: {yd}^{2} \\ \\ \approx \: 2,712 \: {yd}^{2} [/tex]
what is the square root of 64?
Help ill give brainliest to the one that works
Answers
Answer:
8
Step-by-step explanation:
The square root of 64 is 8
Answer:
8
Step-by-step explanation:
The square root of 64 is 8
8 * 8 = 64
Hope this helps!
To rent a certain meeting room, a collage charges a reservation fee of 49 dollars and an additional fee of 5 dollars and 40 cents per hour. The film club wants to spend at most 81 dollars and 40 cents on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room.
Answers
42 + 8.8t < 112.40
8.8t < 70.40
t < 8
They can rent the room for up to yet not including 8 hours.
Find the inverse of the matrix (3, -2)(-10, 9) if it exists.
Answers
Answer:
The answer is ' A '
Step-by-step explanation:
:D
The inverse of the matrix will be [tex]\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex]. The correct option is A.
What is a matrix?A matrix is a rectangular array or table of numbers, symbols, or expressions that are arranged in rows and columns to represent a mathematical object or a property of such an object in mathematics. For instance, consider a matrix with two rows and three columns.
Given that the matrix is [tex]\left[\begin{array}{cc}3&-2\\-10&9\\\end{array}\right][/tex]. The inverse of the matrix can be solved as below,
[tex]A^{-1} = \dfrac{1}{ad-bc}\left[\begin{array}{cc}d&-b\\-c&a\\\end{array}\right][/tex]
[tex]A^{-1} = \dfrac{1}{3\times9-20}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]
[tex]A^{-1} = \dfrac{1}{7}\left[\begin{array}{cc}9&2\\10&3\\\end{array}\right][/tex]
[tex]A^{-1}=\left[\begin{array}{cc}\dfrac{9}{7}&\dfrac{2}{7}\\\dfrac{10}{7}&\dfrac{3}{7}\\\end{array}\right][/tex].
To know more about matrix follow
https://brainly.com/question/94574
#SPJ2
Male mosquitos have pretty short lifespans. Males of a certain species have lifespans that are strongly skewed to the right with a mean of 888 days and a standard deviation of 666 days. A biologist collects a random sample of 505050 of these male mosquitos and observes them to calculate the sample mean lifespan. We can assume that the mosquitos in each sample are independent.
What will be the shape of the sampling distribution of the sample mean lifespan?
Answers
Answer:
Approximately Normal
Step-by-step explanation:
The sample size is large (n50≥30n), so the sampling distribution of the sample mean will be approximately normal even though the population is skewed.
(-4x-9)+(-2x-7) in simplest term
Answers
Answer:
-6x-16
Step-by-step explanation:
Combine like terms, (-4x-2x) + (-9-7) = -6x - 16
Step-by-step explanation:
We'll be combining like-terms.
Remove the addition sign, as it has no effect to the expression:
[tex] - 4x - 9 - 2x - 7[/tex]
Combine Like-Terms:
[tex] - 6x - 16[/tex]
-6x - 16 is your simplified expression.
4. The Lopez family is buying a new home. The price of their home is
$345,800. They also pay for new furniture. In the amount they pay for
new furniture, the digit 5 is exactly 10 times less than it is in the
amount they paid for the house. What is one possible amount that
they could have paid for furniture?
Answers
One possible amount the could have paid for furniture is $340,500.
Since the Lopez family pay a price of $345,800 for their new home, and also pay an amount for the furniture in which the digit 5 is exactly 10 times less than it is in the amount they paid for the house.
Amount paid for furnitureSince they paid $345,800 for their home and the digit 5 in this amount is in the thousands place, that is 5000.
In the amount paid for the furniture, the digit 5 is exactly 10 times less than in the amount paid for their home.
So, the place of the digit 5 in the amount paid for the furniture is thus 5000 ÷ 10 = 500.
So, the digit 5 is in the hundreds place.
With that in mind, replacing the 8 in the hunderds place in $345,800, one possible amount the could have paid for furniture is $340,500.
So, one possible amount the could have paid for furniture is $340,500.
Learn more about amount paid for furniture here:
https://brainly.com/question/10405316
make h the subject of formula
[tex]a = \frac{1}{2} bh[/tex]
Answers
Answer:
[tex]a = \frac{1}{2} bh \\ \\ h = a \div ( \frac{1}{2}b ) \\ \\ h = a \times \frac{2}{b} \\ \\ h = \frac{2a}{b} [/tex]
Jonathan has 2 solids. One is a right cylinder, and
the other is a sphere. The radius of the base of the
cylinder is the radius of the sphere. The height of
the cylinder is 10 cm. The diameter of the sphere is
12 cm. What is the lateral surface area, in square
centimeters of the cylinder?
O 1847
O 60
O 787
0 120
Answers
If you multiply all of them you would get 787 so your answer would be C.
It would be 787
John has some apples, and two brothers, Jack
and Jim.
John eats 3 of his apples and splits the
remainder equally between himself and each
one of his brothers. Jack and Jim both eat half
the apples they have been given. Together the
three brothers have 4 apples left.
How many apples did John start with?
Answers
John now has X - 3
and splits the remainder equally between himself and his brothers
Each of the brothers now has (X-3)/3 apples (we have to assume here that Jack and Jim didn't have any apples to begin with).
Jack and John both eat half of the apples they have been given
They now have (X-3)/3/2, or just (X-3)/6
Together the three brothers have 4 apples left
Now we say 4 = (X-3)/3 (Jim) + (X-3)/6 (Jack) + (X-3)/6 (John)
From here it's algebra. A nice trick we can do here is to add (X-3)/6 + (X-3)/6 together first, since they have the same denominator:
4 = (X-3)/3 + (X-3)/3
From there we can do the same trick, since now we have two terms that are both something/3:
4 = 2(X-3)/3
Multiply both sides by 3, divide both sides by 2:
6 = X - 3
Add 3 to both sides
9 = X
Answer:
8 or 9
Step-by-step explanation:
John eats 3 gives brothers and himself the remainder they both eat half and both halves are left making it 1 so add up to how much was eaten 3+1=4 and they have 4 left making it 8. Or just say x-3-1=4 and x=8. It can also be 9 so hopefully, someone else answers because if we add the halves remaining to the altogether it becomes 9 instead. Hope it's right and makes sense.
Please a genius help me please
Answers
Answer:
B, D, and F
They match the graph
PLEASE HELP WILL GIVE BRAINLIEST
Answers
So now solve for it to be sure if it is in fact a right triangle.
8^2+15^2=17^2
64+225= 289
289=289
Which means B is the error made.
Hope this helps!
2(x+5) = [ ]x + [ ] what is the answer
Answers
Answer:
2x + 10
Step-by-step explanation:
2(x+5)
(2)(x) + (2)(5)
2x + 10
Answer:
2x + 10
Step-by-step explanation:
2 × X= 2x
2×5=10
so it is 2x + 10
2(x - 10) = 59
What are the steps to come to the correct answer?
Answers
Answer:
39.5
Step-by-step explanation:
Open the bracket by multiplying the numbers in the bracket by 2
2x-20=59
collect like terms(-20 crossing over the equal sign will become +20
2x=59+20
2x=79
Divide both sides by 2
[tex]\frac{2x}{2} =\frac{79}{2}[/tex]
x=39.5
[tex] \sf \large↪2(x - 10) = 59[/tex]
[tex] \: \: [/tex]
[tex] \sf \large \: ↪2x - 20 = 59[/tex][tex] \: \: [/tex]
[tex]\sf \large \: ↪2x = 59 + 20[/tex][tex] \: \: [/tex]
[tex]\sf \large \: ↪2x = 79[/tex]
[tex] \: \: \: [/tex]
[tex] \sf \large \: ↪x = \cancel \frac{79}{2} [/tex][tex] \: \: [/tex]
[tex]\sf \large \color{purple} ↪39.5[/tex][tex] \: \: \: [/tex]
Brainliest if correct
Answers
9y-18 9y-18 9y-18
9y-18 9y-18 9y-18
Danny and Delilah were playing a game where they drew digits and placed them on a game board. Danny built the number 247. Delilah built the number 724. How much greater is the value of the digit 2 in Danny's number than the value of the digit 2 in Delilah's number?
Answers
Answer:
• This student received Met because the student stated that the 2 in Danny’s number is ten times greater than the 2 in Delilah’s number. The student stated that the 4 in Delilah’s number is one tenth the value of the 4 in Danny’s number. The student stated that the 7 in Delilah’s number is 100 times the 7 in Danny’s number.
This student received Progressing because the student correctly stated that Danny’s number was ten times bigger. The student also stated that the 4 in Delilah’s number is ten times smaller. The student stated the value of the digit 7 without referring to how the values compared.
Step-by-step explanation:
hope this helps :) (:
Simplify the expression 6h +(-7.7d) – 16 + 5d - 2.6h.
Answers
Answer:
3.4h-2.7d-16
Step-by-step explanation:
Before we even start, we can already simplify some things
For example, in this equation it says +(-7.7d)
We can simplify this to 6h-7.7d-16+5d-2.6h
Now we have to get all of the common variables together
So the d’s and h’s have to be combined together in this equation
This makes a new equation of 3.4h-2.7d-16
That is our answer!
Determine whether the given value is a solution of the equation.
Answers
Answer:
84 is a solution.
Step-by-step explanation:
To find out if 84 is a solution or not, we plug in the value and simplify.
(84)/14 = 66 = 6Therefore, 84 is a solution.
Find the area and the circumference of a circle with radius 3 cm.
Write your answers in terms of it, and be sure to include the correct units in your answers.
Answers
1. Observe problem
Solve for the area and Circumference of a circle who's radius is 3 cm
Area for circle formula:
pi*r^2=
9pi
I simplicity is needed, 9 pi is around
28.2743338823cm^2
Circumference for circle formula: 2*pi*r
which is
6pi
if simplicity is again needed, its around
18.8495559215cm
What is the bar model for 20-x=6
Answers
Answer:
14
Step-by-step explanation:
20-x=6
20-14=6
hope this will help you
Really confused as to what I need to do. I tried to solve for Y and got 69 but that didn't work. Am I supposed to use a^2 + b^2= c^2? How do I do that when there are multiply letters? I really feel like there's just something I'm not seeing. Help is really appreciated, and please explain your answer.
Answers
Answer:
t = [tex]\sqrt{63} \\[/tex] or 7.94
Step-by-step explanation:
Yes, you have to use the Pythagorean theorem
A^2+B^2=C^2
So, A=9, B=t, C=12
9^2+t^2=12^2
81+t^2=144
-81 -81
t^2 = 63
t = [tex]\sqrt{63} \\[/tex]
in decimal 7.94
Hope this helps :)
pls give brainliest
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
The x -intercept is
.
The y -intercept is
.
Answers
Answer:
x -intercept is 4
y -intercept is -2
Step-by-step explanation:
SOLUTION:
(x -intercept)
-4x+8y= -16
-4x+8×0= -16
-4x+0= -16
-4x/-4 = -16/-4 (divide both sides by -4)
x=4
______________________
(y -intercept)
-4x+8y= -16
-4×0+8y= -16
0+8y= -16
8y/8 = -16/8 (divide both sides by 8)
y= -2
•| HOPE IT HELPS |•
if x varies direcly as y and x=9 when y=3 find x when y=12
Answers
Answer:
36
Step-by-step explanation:
x = 9 and y = 3
3 times 3 equal 9 so if y is 12 then 12 x 3 = 36
If 600 people submitted the survey above, how many were in the 21-30 year old group? A) 112 B) 122 C) 132 D) 142
Answers
The survey is an illustration of expected value
132 people in the survey were in the 21 - 30 year old group
How to determine the number of people in the groupFrom the complete question, 22% of people are in the 21 - 30 year old group
Given that 600 people were surveyed.
The number of people in the 21 - 30 year old group would be:
n = 22% * 600
This gives
n = 132
Hence, 132 people in the survey were in the 21 - 30 year old group
Read more about expected values at:
https://brainly.com/question/15858152
WILL GIVE BRAINLIEST AND 15 POINTS!
Answers
Answer:
Rational
Step-by-step explanation:
[tex]\sqrt[3]{125}[/tex] is also equivalent to 5
The definition of a rational number is any whole number, fraction, or decimal that ends or repeats, while an irrational number is any number that cannot be turned into a fraction.
5 is a whole number, and therefore, is a rational number.
Answer:
rational
hope it helps you
HELPPPPPPPPPPPPHHHHHHH
Answers
Answer:
26.3
Step-by-step explanation:
Given two sides of a triangle, find a range of possible lengths for the third side.
4 cm, 17 cm
Answers
Evaluate the following
2/3 + 11/3 – 1/3
Answers
Answer:
12/3 which is =4
Step-by-step explanation:
for adding fractions you keep the denominator the same and just add or subtract the numerators
2+11-1=12
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
x+2
x+4
Answers
Answer:
A=x²+6x+8
Step-by-step explanation:
Answer: A=x²+6x+8
Step-by-step explanation: Since we are looking to find the area of the entire rectangle, we would use the formula. is the length and is width. You would approach this problem like any other area of the rectangle problem, except you are dealing with polynomials instead.
Brainliest if correct
Answers
Answer:
w = 3
Step-by-step explanation:
-2 = w -5
Add 5 to both sides of the equation
-2+5=2-5+5
Simplify
w = 3
[RevyBreeze]