Answer:
it has 4 lines of symetery the x - axis,the y-axis,y=x,and y ''Cx every line through the center is a line of symetry
Step-by-step explanation:
which is equivalent to sin^-1 ( sqrt 3/2 )? Give your answer
Give your answer in radians.
Answer: pi/3
Step-by-step explanation:
correct on edge 2020
The equivalent value of trigonometric relation sin⁻¹ ( √3/2 ) = π/3
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric relation be represented as A
Now , the value of A is
sin⁻¹ ( √3/2 ) = θ
Now , the value of θ is calculated by
In a triangle , sin θ = opposite / hypotenuse
So , sin θ = √3/2
The value of θ = 60°
So , the measure of 60° in radians is θ = π/3
Hence , the value of θ from the trigonometric relation is π/3
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A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the edge of the wheel?
In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.
The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.
Then the point has a linear speed of
(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s
The linear velocity of a point on the edge of the wheel is π/2 feet per second.
In this case, the wheel has a radius of 1 foot and makes 1 revolution in 4 seconds.
The circumference of a circle is given by the formula
C = 2πr, where r is the radius of the circle.
So, the circumference of the wheel is 2π(1) = 2π feet.
Now, the linear velocity of the point on the edge of the wheel is the distance traveled (circumference) divided by the time taken, which is:
Linear velocity = Circumference / Time = 2π feet / 4 seconds
Linear velocity = π/2 feet per second
So, the linear velocity of a point on the edge of the wheel is π/2 feet per second.
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PLEASE HELP!! DUE!!!!
Write the slope-intercept form of an equation for the line that passes through the given point and is parallel to the graph of the given equation. (−5, 6) and 12x+9y=3
Answer:
The equation is,
[tex]y = - \frac{4}{3}x - \frac{2}{3} [/tex]
Step-by-step explanation:
When a line is parallel to the other line, they will have the same gradient :
[tex]12x + 9y = 3[/tex]
[tex]9y = - 12x + 3[/tex]
[tex]y = - \frac{12}{9} x + \frac{3}{9} [/tex]
[tex]y = - \frac{4}{3} x + \frac{1}{3} [/tex]
We have already found the gradient. Next, we have to substitute the gradient and coordinates into the slope-form equation, y = mx + b :
[tex]y = mx + b[/tex]
Let m = -4/3,
Let x = -5,
Let y = 6,
[tex]6 = - \frac{ 4}{3} ( - 5) + b[/tex]
[tex]6 = \frac{20}{3} + b[/tex]
[tex]b = 6 - \frac{20}{3} [/tex]
[tex]b = - \frac{2}{3} [/tex]
Livia eats a chicken drumstick with 11 grams of protein. She also eats x cheese sticks, each with 7 grams of protein. The table shows y , the total number of grams of protein that Livia will consume if she eats x cheese sticks. Livia may eat only part of a cheese stick, so x may not always be a whole number.
Step-by-step explanation:
C
Answer:
The answer is C
Step-by-step explanation:
I took the test and got it right :)
hopefully this helps you :)
pls mark brainlest ;)
estimate the limit of x-3/x^2-9
Answer:
b
Step-by-step explanation:
Giving brainliest to CORRECT answer.
Answer:
D
If you put the equation into a calculator, it will show a graph of it.
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
A. X=6 only
Step-by-step explanation:
The smallest multiple of 13 is
Answer:
0
Step-by-step explanation:
The smallest (greater or equal to zero) multiple of 13 is 0
to get a positive multiple of 13 you have to multiply 13 by a natural number:
0 = 13×0
13 = 13×1
26 = 13×2
.
.
.
then the smallest one is 0.
what is the equation of the line parallel to the line y= -2x +4 that passes through the point (0,-2)?
Answer:
y=-2x-2
Step-by-step explanation:
Since this line is supposed to be parallel it will have the same slope.
y=-2x+b
no plug in the (0,-2)
-2=b
y=-2x-2
What statement accurately describes the scatter point?
A. There are three distinct clusters.
B. There are no outliers.
C. There is one outlier.
D. There are two outliers.
Pls help with these questions I can give brainliest thank you all! 9 a and b
Answer:
A. 8 1/4 * 11 1/2 * 14=1328 1/4 ft^2
OR
8 1/4 height times 11 1/2 width times 14 in length equals 1328 1/4 feet squared
B. 8 1/4 * 14 1/2 * 14=1674 3/4
OR
8 1/4 height times 11 1/2 width plus 3 so 14 1/2 width times 14 equals 1674 3/4 feet squared
Step-by-step explanation:
the midpoint of AB is point P at (-16,6) if point A is at (-10,8) what are the coordinates of point B?
Answer:
Denote B(x, y), we have:
-10 + x = 2 x (-16) => x = -22
8 + y = 2 x 6 => y = 4
=> B(-22, 4)
Hope this helps!
:)
Find AB
Round to the nearest tenth.
Answer:4.1
Step-by-step explanation:
c=AB
C=26°
B=122°
b=8
Using sine rule
c/sinC = b/sinB
c/sin26=8/sin122
Sin26=0.4384
Sin122=0.8480
c/0.4384=8/0.8480
Cross multiply
c x 0.8480=8 x 0.4384
c x 0.8480=3.5072
Divide both sides by 0.8480
(c x 0.8480)/0.8480=3.5072/0.8480
c=4.1
What is 256/6561 as a power
Answer:
(2/3)^8
Step-by-step explanation:
Note that 2^8 = 256, and that 3^8 = 6561.
Then 256/6561 = (2/3)^8
The graph of a function is shown below.
D
Which statement best describes section D of the graph?
0 А.
linear and increasing
О В.
linear and decreasing
Ос.
nonlinear and increasing
OD
nonlinear and decreasing
What’s the correct answer for this question?
Answer:
D
Step-by-step explanation:
Izan can use the slope formula to show that the slope of KL and MN are equal.
How does the graph of g(x) = x+5+2 compare to the graph of the parent function f(x) =
х
g(x) is shifted 5 units left and 2 units up from f(x).
g(x) is shifted 5 units right and 2 units up from f(x).
g(x) is shifted 5 units left and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units up from f(x). Therefore, option B is the correct answer.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
The given functions are f(x)=x and g(x)=x+5+2.
Translation rules:
When the shape is moved towards the right by k units, then replace x with x + k.
When the shape is moved up by k units, then replace y with y + k.
So, the translation is g(x) is shifted 5 units right and 2 units up from the parent function.
Therefore, option B is the correct answer.
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A local retailer claims that the mean waiting time is less than 8 minutes. A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes. At α = 0.01, test the retailer's claim. Assume the distribution is normally distributed. Round the test statistic to the nearest thousandth.
Answer:
The claim is not true
Step-by-step explanation:
We are given that A local retailer claims that the mean waiting time is less than 8 minutes.
[tex]H_0:\mu=8[/tex]
[tex]H_a:\mu<8[/tex]
A random sample of 20 waiting times has a mean of 6.3 minutes with a standard deviation of 2.1 minutes.
[tex]\bar{x}=6.3[/tex]
s = 2.1
n = 20
Since n <30 and population standard deviation is unknown
So,we will use t test
So,[tex]t=\frac{x-\mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t=\frac{6.3-8}{\frac{2.1}{\sqrt{20}}}[/tex]
t=-3.62
α = 0.01
Degree of freedom = df=n-1=20-1=19
[tex]t_{df,\frac{\alpha}{2}}=t_{19,\frac{0.01}{2}}=2.861[/tex]
t calculated < t critical
So, we failed to reject null hypothesis
Hence the claim is not true
What whole number when rounding to the nearest hundred is 700
Answer:
honestly quite a lot
Step-by-step explanation:
any number from 650-699, and also from 700-749
Answer:
range, 700-749
Step-by-step explanation:
if three consecutive vertices of parallelogram are A (-1,-3) B (4,2) C (-7,5) find the fourth vertex
Answer:
.
Step-by-step explanation:
.
Work out the size of x
Answer:13°
Step-by-step explanation:
a + b + x=180 sum of angles in a =180°
85° is alternate to a
Therefore a=85°
98° and b are supplementary angles
98+b=180
b=180-98
b=82°
Recall that
a + b + x=180
85+82+x=180
167 + x=180
Collect like terms
x=180-167
x=13°
The value of 8 in the hundreds place is how many times the value of the 8 in the tens place
Answer:8 in the hundreds place is 10 times the value of the 8 in the tens place.
Step-by-step explanation:its easy
The hundreds place is 10 times of the tens place.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Division means the separation of something into different parts, sharing of something among different people, places, etc.
The value of 8 in the hundreds place. If the value of the 8 is in the tens place. Then the number will be 880.
Then the number of times of the hundreds place and tens place will be given by the division of the numbers 800 and 80.
⇒ 800 / 80
⇒ 10
The hundreds place is 10 times of the tens place.
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Find two numbers, if their sum is 97 and their difference is 7.
Answer:
52 and 45
Step-by-step explanation:
Let's call the two numbers x and y.
x+y=97
x-y=7
Let's add together the two equations:
2x=104
x=52
Since 52-y=7, y must be 45. Hope this helps!
If the sum of two numbers be 97 and their difference is 7 then the first number is 52 and second will be 45.
What is a number?An arithmetical value, expressed by a word representing a particular quantity and used in counting and making calculations.
How to calculate a number?let the first number is x. Because the sum of both numbers is 97 then the second number will be 97-x.
We have been given that their difference is 7 so by calculating the difference between the numbers we will get
x-(97-x)=7
x-97+x=7
2x=104
x=52
Calculating the second number through 97-x=97-52=45.
Hence the required numbers are 52 and 45.
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at 3:30 P.M., the water level in a pool is 14 inches. At 4:00 P.M., the water level is 20 inches. At 5:00 P.M., the water level is 32 inches. What is the constant rate of change?
Answer:
6 inches per 1/2 of an hour
Step-by-step explanation:
in between 4 pm and 5 pm, the water level grows by 12 inches. in between 3:30 pm and 4 pm, the water level grows by 6 inches.
Need answer please Precal
Answer:
170.5 is the answer from the TI-84
Step-by-step explanation:
What is the 25th term of this arithmetic sequence?
{8, 5, 2,-1,-4, ...}
Type the correct answer in the box. Use numerals instead of words.
Answer:
Continue the pattern 24 more times by multiplying 24 terms with 3 subtracted per term
24x3=72
subtract 72 to find the term
8-72=-64
Should be -64 but we will still continue the pattern to double check
8,5,2,-1,-4,-7,-10,-13,-16,-19,-22,-25,-28,-31,-34,-37,-40,-43,-46,-49,-52,-55,-58,-61,-64
-64 is the 25th term
Hope this helps
Step-by-step explanation:
Factor as the product of two binomials.
x
2
+
3
x
+
2
=
x2+3x+2=x, squared, plus, 3, x, plus, 2, equals
Answer:
(x+1)(x+2)
Step-by-step explanation:
Answer:
(x-1)(x-2)
Explanation:
To factor x^2-3x+2 as (x+a)(x+b) we need to find number a and b such that a+b=-3 ab=2
Summary of above: (−1)+(−2)=−3
So the integers we are looking for are
−1 and −2
Therefore, x^2-3x+2=(x-1)(x-2)
4 1/3 - (-2/3)=? This is 6th grade i-ready math
Step-by-step explanation:
The answer as a decimal is 5.16666667
Answer:
The answer is 5
Step-by-step explanation:
It is 5 because when you subract a positive number to a negative number it is realy just adding them together so 4 1/3 - (-2/3) is the same as 4 1/3+2/3
1/4 of a foot and 2/ 3 of a foot how much shorter is 1/4 to 2/3
Answer:
.41
Step-by-step explanation:
Take what 2/3 and make it into a decimal. Then do the same with the 1/4. Then you minus the biggest number from the smallest number then it gives you .41.
Find the mean, median, and mode(s) of the data. Choose the measure that best represents the data. Explain your reasoning. Find the mean, median, and mode(s) of the data with and without the outlier. Which measure did the outlier affect the most? 8, 10, 10, 11, 16, 17, 19, 21, 41
Answer:
Mean: 17
Median: 16
Mode: 10
Step-by-step explanation:
8, 10, 10, 11, 16, 17, 19, 21, 41
Median: (the middle number in the number list/data set) 16
Mode: 10
Mean: 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 = 153/9 = 17
The mean is equal to 17. The value of the median is 16 and the value of the mode is 10.
What are mean, mode and median?The mean of the numbers is defined as the ratio of the sum of the total numbers to the total count of the numbers.
The given numbers are,
8, 10, 10, 11, 16, 17, 19, 21, 41
Mean = ( 8 + 10 + 10 + 11 + 16 + 17 + 19 + 21 + 41 ) / 9
Mean = 153/9
Mean = 17
The median is calculated by arranging the numbers in ascending order and the middle term of the data.
8, 10, 10, 11, 16, 17, 19, 21, 41
The median is 16.
The mode is calculated as the highest repetition in the data,
8, 10, 10, 11, 16, 17, 19, 21, 41
Mode: 10
Therefore, the mean is equal to 17. The value of the median is 16 and the value of the mode is 10.
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