Step-by-step explanation:
If I'm not wrong it should be 27.93
Describe the region enclosed by the circle x^2 +y^2 = 11x in polar coordinates.
Answer:
the region of the circle in polar coordinate can be expressed as:
[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]
Step-by-step explanation:
Given that:
[tex]x^2 +y^2 = 11x[/tex]
This implies that :
[tex](x-5.5)^2 + y^2 = 5.5^2[/tex]
center (5.5, 0) and radius = 5.5
The relation between the cartesian coordinates (x,y) and the polar coordinates (r, θ) is as follows:
x = rcosθ
y = rsinθ
Thus, [tex]x^2 + y^2 = r^2[/tex]
[tex]x^2 + y^2 = 11x[/tex]
[tex](rcos \theta)^2 + (r sin \theta)^2 = 11(rcos \theta)[/tex]
[tex]r^2 = 11r cos \theta[/tex]
Thus, the angle θ runs between [tex]- \dfrac{\pi}{2}[/tex] to [tex]\dfrac{\pi}{2}[/tex]
Therefore, the region of the circle in polar coordinate can be expressed as:
[tex]\mathbf{- \dfrac{\pi}{2} \leq \theta \leq \dfrac{\pi}{2} , 0 \leq r \leq 11 cos \theta}[/tex]
The required region is,
[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]
Given circle is,
[tex]x^2 +y^2 = 11x[/tex]
Computation:
Solving the given circle,
[tex]x^2-11x+y^2=0\\x^2-2(\frac{11x}{2})+y^2=0[/tex]
Adding [tex]\frac{11}{2}[/tex] both sides we get,
[tex]x^2-2(\frac{11x}{2})+\frac{121}{4}+y^2=\frac{121}{4}\\(x-\frac{11}{2})^2+y^2=(\frac{11}{2})^2[/tex]
It represents a circle having the radius [tex]\frac{11}{2}[/tex] and centred at [tex](\frac{11}{2},0)[/tex]
So, in polar coordinate,
[tex]x=\frac{11}{2}+\frac{11}{2}cos\theta , 0\leq \theta\leq2\pi \\y=\frac{11}{2}sin\theta ,0\leq r \leq \frac{11}{2}[/tex]
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The senior class had a car wash to raise money for the senior trip. It cost them $35 for supplies. They washed 75 cars and charged $6 for each car.
Which of the following expressions represents the money they raised for their trip?
Answer: $415
Step-by-step explanation: 75 x $6 = 450. 450 - 35 = 415
racional o irracional 1/9
Answer:
rational or racional
Step-by-step explanation:
The ground temperature at Brigham Airport is 17 °C. The temperature decreases by 4.9 °C for every increase of 1 kilometer above the ground. What is the
temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
should be -7.5
Step-by-step explanation:
4.9×5=24.5
17-24.5=-7.5
say you have (-4,-4) and (8,4)
which ones are the y2, y1, x2, and x1
Which set of ordered pairs does not represent a function
The Second one {(-8,-7), (4,-2), (2,9), (-8,8)}
Step-by-step explanation:A function only gives ONE out put for a given value. But the second set has two outputs if we input -8, it gives you -7 and 8 so this must not be a function.
The unit for density is a derived unit. True or False
Answer:
true
Step-by-step explanation:
Answer:
TRUE is the answer.
The unit for density is a derived unit.
mZSRW =
need a fast answer thanks!
Answer:
The answer is 95 degrees.
Step-by-step explanation: rtw and srw are vertical angles and therefore have the same angle measure
PLs give brainliest if someone else answers!
The measurement of the angle ∠ SRW in the given figure is 95°
What are angles?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Angles formed by two rays lie in the plane that contains the rays.
Angles are also formed by the intersection of two planes.
Given is a figure, lines VS and TW are intersecting at the point R, making angles, TRV, TRS, VRW and SRW,
We need to find the measurement of the angle SRW,
Here, we can see that the angles TRV and SRW, are vertically opposite angles,
Vertically opposite angles :-
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.
Therefore, we can say that, ∠ TRV = ∠ SRW
Since, ∠ TRV = 95°
Therefore, ∠ SRW = 95°
Hence, the measurement of the angle ∠ SRW in the given figure is 95°
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Find the difference of -4 -(5)
Please help me out on this
a repairman works 70 hours. charges $75 plus $40 per hour. What is the y intercept
Answer:
40
Step-by-step explanation:
Four sisters buy a total of 3 1/2 feet of ribbon . The sisters want to share the ribbon equally how many feet of ribbon will each sister receive? 3/8 ft , 1/4 ft,1/2 ft, 7/8 ft
Answer:
each sister receives (7/8) ft of ribbon
Step-by-step explanation:
Let's start by writing the total amount of ribbon in fraction form:
3 1/2 = 3 + (1/2) = (7/2)
Now, we need to perform the division: (7/2) divided by 4
in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):
(7/2) divided 4 = (7/2) x (1/4)
and we multiply the fractions obtaining:
(7/8)
So, each sister receives (7/8) ft of ribbon
The coordinates of three of the vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex? What are coordinates of the fourth vertex?
Answer:
probability is one for the position of the fourth vertex
it's co ordinates will be (2,2)
[7,8] is the difference between
2 vectors with components [a, 5] and
(-4,-3). What is a
Answer:
The value of [tex]a[/tex] is 3.
Step-by-step explanation:
Let be [tex]\vec a = \langle a, 5 \rangle[/tex] and [tex]\vec b = \langle -4,-3 \rangle[/tex], the difference between the two vectors is:
[tex]\vec c = \vec b - \vec a[/tex]
[tex]\vec c = \langle a, 5\rangle - \langle -4,-3 \rangle[/tex]
[tex]\vec c = \langle a+4,8 \rangle[/tex]
If we know that [tex]\vec c = \langle 7,8 \rangle[/tex], the value of [tex]a[/tex] is:
[tex]\langle 7, 8 \rangle = \langle a+4, 8\rangle[/tex]
In which,
[tex]a + 4 = 7[/tex]
[tex]a = 3[/tex]
The value of [tex]a[/tex] is 3.
Determine the unit rate then determine which is a better buy.
Option A: A 4 pack of 3.2-ounce servings of applesauce for $2.50 or Option B: 24 ounces of applesauce for $3.69
Answer:
Option B
Step-by-step explanation:
For option A:
4 pack of 3.2-ounce servings of applesauce cost $2.50. This implies that 4 × 3.2 ounce = 12.8 ounce servings of applesauce cost $2.50. Hence:
The unit rate = $2.50 / 12.8 ounce = $0.1953 per ounce
For option B:
24-ounce servings of applesauce cost $3.69. Hence:
The unit rate = $3.69 / 24 ounce = $0.15375 per ounce
From the unit rates of option A and option B, option B has a lesser unit rate, hence option B is a better buy.
I did 24 hours on my speed paint if i did it for 4 more days how many minutes would that be?
Answer:
7,200 minutes.
Step-by-step explanation:
5 days * (24 hours / 1 day) = 5 * 24 hours = 120 hours
120 hours * (60 minutes / 1 hour) = 120 * 60 minutes = 7,200 minutes.
Hope this helps, and I love your art!
Answer:
7,200
Step-by-step explanation:
Determine whether the given value is a statistic or a parameter.
A survey found that 75% of all respondents were optimistic.
Choose the correct answer below.
A. The value is a parameter because it is a numerical measurement describing some characteristic of a sample.
B. The value is a parameter because it is a numerical measurement describing some characteristic of a population. C. The value is a statistic because it is a numerical measurement describing some characteristic of a population.
D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.
Answer:
D. The value is a statistic because it is a numerical measurement describing some characteristic of a sample.
Step-by-step explanation:
A survey found that 75% of all respondents were optimistic. We consider 75% of all respondents is a sample from over all population, so it's a statistic. Value of statistics are e.g sample mean, sample proportion etc .
It is important to understand that the numerical measurement describing some characteristic of a population is called as parameter. e.g. population mean , population proportion etc. Hence, it is not correct.
You run 1/12 miles in 1/2 minutes. How many miles per hour do you run?
Answer:
10 miles per hour
Step-by-step explanation:
1/12 miles
------------------
1/2 minute
1/12 ÷1/2
Copy dot flip
1/12 * 2/1
1/6 miles per minute
We need to convert minutes to hours
1 hours = 60 minutes
1/6 miles / minutes * 60 minutes/ hour
= 60/6 miles per hour
10 miles / hour
will give brainlist Very unlikely answer choices: A. 1 B. 0.01 C. 0.9 D. 0 E. 0.6 F. 0.5 G. 0.35
Answer:
B) 0.01
Step-by-step explanation:
If they want to know which one is very unlikely, you could turn them into percents.
1=100%
0.01=1%
0.9=90%
0=0%
0.6=60%
0.5=50%
0.35=35%
Since 0% is "impossible", not just "very unlikely", I'd go with 1%, which is B) 0.01
This is assuming I'm understanding your question correctly, since it doesn't actually ask a question.
What number multiplied by itself 3 times equals 10
Answer:
2.1544
Step-by-step explanation:
[tex]\sqrt[3]{10}[/tex] = 2.1544
check: 2.1544^3
c. When the cost of flour was Rs 28 per kg, the weight of a bread was 496 gram.
What will be the weight of bread if the cost of flour increases to Rs 32 per kg?
Answer:
hope it helps
plz mark as brainliest
Answer:
when cost of flour was 28 then cost of bread is 496
so the coost of bread if flour cost 32 = 496*32/28=566.86
Step-by-step explanation:
need help!! which is tight?
Answer:
65°
Step-by-step explanation:
Complimentary angles are two angles that add up to 90°
So, to find the unknown angle, simply subtract 25 from 90.
90-25=65
The other angle is 65°
Joe drops a pebble into the sea. The pebble drops 2 inches every second. How many inches below sea level does it drop after 6 seconds?
Answer:
12 inches
Step-by-step explanation:
Point G ia on line segment FH Given FG = 5x + 2 GH = 3x -1 and FH = 9 determine the numerical length of FG
Answer:
Step-by-step explanation:
FG=7
To one decimal place, 93 must lie between
and
Answer:
9.3
Step-by-step explanation:
To move one decimal you move one digit left.
8i to the power of 62
Answer: -8
Step-by-step explanation:
a gallon of paint can cover about 350 square feet of wall space. You have measured a wall to be 210 inches by 120 inches. Will one gallon of paint be enough to cover the wall?
1 foot = 12 inches.
210/12 = 17.5 feet
120/12 = 10 feet
17.5 x 10 = 175 square feet
175 is less than 350 so yes one gallon will be enough.
Answer: yes
Step-by-step explanation: because it is only 175 ft of wall
Which statement is true?
A function is a relation where each output value is assigned to exactly one input value.
The domain of a function is the set of all output values, or y-values, for which the function is defined.
The range of a function is the set of all input values, or x-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y.
Answer:
To write the equation y = ax + b in function notation, substitute f(x) for y
Step-by-step explanation:
The only true statement is the last one.
__
A function assigns exactly one output value to each input value.
The domain is the set of all input, or x-values.
The range is the set of all output, or y-values.
y=ax+b can be written in function notation by replacing y with f(x).
Answer:
The last one: To write the equation y = ax + b in function notation, substitute f(x) for y.
Step-by-step explanation:
A relation is a mapping from a set of input values, called the domain, to a set of output values, called the range. In a relation, each element in the domain can be assigned to one or more elements in the range.
A function is a relation where each input value is assigned to exactly one output value.
The domain of a function is the set of all input values, or x-values, for which the function is defined.
The range of a function is the set of all output values, or y-values, for which the function is defined.
To write the equation y = ax + b in function notation, substitute f(x) for y, resulting in the function f(x) = ax + b.
calculate the annswer when the largest prime number that is a factor of 35 is multiplied by the smallest prime number that is a factor of 15
Answer: 155
Step-by-step explanation:
A board of length (6x4 + 9x2- 21) meters is to be cut into three pieces of the same length. Find the length of each
piece.
Answer:
(2x⁴ + 3x² -7)
Step-by-step explanation:
Length is
(6x⁴ + 9x²- 21)It is to be divided by 3.
Note when dividing the polynomial by any value each of the terms is divides by same value:
(6x⁴ + 9x²- 21)/3 = 6x⁴/3 + 9x²/3 - 21/3 = 2x⁴ + 3x² -7Each piece is (2x⁴ + 3x² -7) meters long