Answer:
Yes
Step-by-step explanation:
Another identity problem...
Answer:
cot(x)=-sqrt(3)/3
Step-by-step explanation:
I'm going to use the Pythagorean Identity sin^2(x)+cos^2(x)=1 to find the sine value since cotangent value is the cosine value over sine value.
Plug in:
sin^2(x)+(-1/2)^2=1
Simplify:
sin^2(x)+1/4=1
Subtract 1/4 on both sidea:
sin^2(x)=3/4
Square root both sides:
sin(x)=sqrt(3)/2. [Sine is positive since x is in 2nd quadrant]
cot(x)=(-1/2)/(sqrt(3)/2))
cot(x)=-1/sqrt(3)
Rationalize denominator by multiplying by sqrt(3)/sqrt(3):
cot(x)=-sqrt(3)/3
cot(x)=
The number of hours that each of 6 students spent reading last week is shown in the bar graph below. For the data in the bar graph, which measure is the LEAST? *
1 point
Captionless Image
4. Given point A (3, 8) and point B (-5, 1). Find the following:
a.) The coordinates of the midpoint of segment AB. Write your answer in this form: (x, y) (7 points)
b.) Using the distance formula, find the length of segment AB. Round to the nearest hundredth. (7 points)
c.) Find the slope of segment AB. (if your answer is a fraction, use the "/" symbol) (7 points)
Answer:
a) (-1,4.5)
b)10.63 units
c)7/8
Step-by-step explanation:
a) To find this, we use the midpoint formula
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
(x1,y1) = (3,8)
(x2,y2) = (-5,1)
(x,y) = (3 -5)/2 , (8 + 1)/2 = (-1, 4.5)
b) To calculate the distance D between two points, we use the formula;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-3)^2 + (1-8)^2
D = √(-8)^2 + (-7)^2
D = √64 + 49
D = √113
D = 10.63 units
C) We use the slope formula here
m = (y2-y1)/(x2-x1)
m = (1-8)/(-5-3) = -7/-8 = 7/8
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
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2
I need help with these
What is 2 of 1,800,000÷3?
Answer:
Of is a keyword for multiplication.
So, your equation is really 2 X 1,800,000÷3=?
Final answer: 1,200,000
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
3.xºy+ 9. Simplify
(please help bro +[ )
Answer:
[tex] {x}^{0} y + 9 \\ = y + 9[/tex]
In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0
respectively. If the coefficient skewness is , use the information to answer
questions 9 and 10.
9. What is the approximate value of the third quartile
(Q3 ), correct to 2 decimal places?
Answer:
[tex]Q_3 = 56.45[/tex] --- The third quartile
[tex]Var = 370.18[/tex] -- Variance
Step-by-step explanation:
Given
[tex]Q_1 = 30.8[/tex] -- First quartile
[tex]Q_2 = 48.5[/tex] --- Median
[tex]\bar x = 42[/tex] --- Mean
[tex]Skp = -0.38[/tex] --- Coefficient of skewness
Solving (9): The third quartile [tex]Q_3[/tex]
This is calculated from
[tex]Skp = \frac{Q_1 + Q_3 - 2Q_2}{Q_3 - Q_1}[/tex]
So, we have:
[tex]-0.38 = \frac{30.8 + Q_3- 2*48.5}{Q_3 - 30.8}[/tex]
Cross Multiply
[tex]-0.38 (Q_3 - 30.8)= 30.8 + Q_3- 2*48.5[/tex]
Open bracket
[tex]-0.38Q_3 + 11.704= 30.8 + Q_3- 97.0[/tex]
Collect like terms
[tex]-0.38Q_3 -Q_3= 30.8 - 97.0- 11.704[/tex]
[tex]-1.38Q_3= -77.904[/tex]
Divide both sides -1.38
[tex]Q_3 = \frac{-77.904}{-1.38}[/tex]
[tex]Q_3 = 56.45[/tex] --- approximated
Solving (b): The variance
First, calculate the standard deviation from:
[tex]3IQR = 4SD[/tex]
[tex]IQR= Q_3 - Q_1[/tex]
So:
[tex]3IQR = 4SD[/tex]
[tex]3(Q_3 - Q_1) = 4SD[/tex]
Make SD the subject
[tex]SD = \frac{3}{4}(Q_3 - Q_1)[/tex]
[tex]SD = \frac{3}{4}(56.45 - 30.8)[/tex]
[tex]SD = \frac{3}{4}*25.65[/tex]
[tex]SD = \frac{3*25.65}{4}[/tex]
[tex]SD = \frac{76.95}{4}[/tex]
[tex]SD = 19.24[/tex]
So, the variance is:
[tex]Var = SD^2[/tex]
[tex]Var = 19.24^2[/tex]
[tex]Var = 370.18[/tex]
WILL GIVE BRAINLIEST!! YOU MUST SHOW YOUR WORK! THANKS!
Jonathan is building a circular pond attached to a corner of his house. He wants to put bricks around the entire pond, including the sides that are against the house. The radius of the pond is 6ft.
Approximately how many feet of bricks does Jonathan need for the border of his pond? (Use 3.14 as an estimate for...I can’t put the sign....)
A. 28.26 ft
B. 30.84 ft
C. 37.68 ft
D. 40.26 ft
E. 46.68 ft
The formula for the circumference of a circle is 2 x 3.14 x radius
2 x 3.14 x 6 = 37.68
Find the length of arc AB with an angle measure of 15 degrees and radius of 10 cm. Round to the nearest hundredth place if you get a continuous decimal when dividing with 360 degrees.
Answer:
AB ≈ 2.62 cm
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{15}{360}[/tex]
= 2π × 10 × [tex]\frac{1}{24}[/tex]
= [tex]\frac{20\pi }{24}[/tex]
≈ 2.62 cm ( to the nearest hundredth )
change x-2y=4 into slope-intercept form.
Answer:
y = (1/2)x - 2
Step-by-step explanation:
Slope intercept form: y = mx + c
x - 2y = 4
-2y = -x + 4
[tex]\frac{-2y}{-2}=\frac{-x}{-2}+\frac{4}{-2}\\\\y = \frac{1}{2}x - 2[/tex]
X-2y=5 2x-4y=10
Put both equations in slope-intercept form
Solve the systems of equations by substitution
Solve the systems of equations by graphing
ONE HUNDRED POINTS HURRY
Step-by-step explanation:
X-2y=5 ; 2x-4y=10
• x - 2y = 5 • 2x -4y = 10
-2y = -x+5 -4y= -2x +10
y1 = ½x - 5/2 y2 = ½x -5/2
• => y1 = y2
½x -5/2 = ½x -5/2
the systems have no solution
• graph as attached
Answer:
[tex]\textsf{Equation 1}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
[tex]\textsf{Equation 2}: \quad y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
True for all x (infinitely many solutions)
Step-by-step explanation:
Slope-intercept form of a linear equation:
[tex]y = mx + b[/tex]
(where m is the slope and b is the y-intercept)
Given equations:
[tex]\begin{cases}x-2y=5\\2x-4y=10\end{cases}[/tex]
To put both equations in slope-intercept form, rearrange both equations to make y the subject:
Equation 1
[tex]\implies x-2y=5[/tex]
[tex]\implies x-2y+2y=5+2y[/tex]
[tex]\implies x=5+2y[/tex]
[tex]\implies x-5=5+2y-5[/tex]
[tex]\implies 2y=x-5[/tex]
[tex]\implies 2y \div 2=(x-5) \div 2[/tex]
[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
Equation 2
[tex]\implies 2x-4y=10[/tex]
[tex]\implies 2x-4y+4y=10+4y[/tex]
[tex]\implies 2x=10+4y[/tex]
[tex]\implies 2x-10=10+4y-10[/tex]
[tex]\implies 4y=2x-10[/tex]
[tex]\implies 4y \div 4=(2x-10) \div 4[/tex]
[tex]\implies y=\dfrac{1}{2}x-\dfrac{5}{2}[/tex]
Therefore, both equations are the same as they have the same slope and y-intercept.
As both equations are the same, this system of equations is called an equivalent system.
To solve a system of equations by substitution, substitute one equation into the other:
[tex]\implies \dfrac{1}{2}x-\dfrac{5}{2}= \dfrac{1}{2}x-\dfrac{5}{2}[/tex]
As both sides are equal, the solution is true for all x.
The solution to a graphed system of equations is the point(s) of intersection.
When graphing the given system of equations, as the lines are the same, they will be on top of each other. They are called coincident lines and have infinitely many solutions since the lines have the same slope and same y-intercept.
Learn more about systems of equations here:
https://brainly.com/question/21447811
https://brainly.com/question/27357423
write the equation of a circle that has a center of (-2,1) and a radius 3
The answer:
(x+2)²+(y–1)²=9
what is the value of an that makes the equation to 5m×(5^-7)^m=5^12
Answer:
I think the answer is 11 because 244140625/(5^3*5^(-2)*5^11)
m=11
[tex] \huge \bf\pink{a} \purple{n} \pink{s} \purple{w} \pink{e} \purple{r}[/tex]
[tex]5m = 60 \\ m = \frac{60}{5} = 12[/tex]
pls help someone !!!!!!!
Answer:
Has a slope of [tex]\frac{3}{4}[/tex] and passes through the point (0,1)
Step-by-step explanation:
We can eliminate half the answer choices by finding whether the line passes through (1,0) or (0,1). Coordinates are read as (x,y), therefore the line passes through (0,1). The slope of the line y=x has a slope of 1. Looking at the graph, we can see that the increasing interval of the line is tilted down ever so slightly, therefore the slope must be less than one.
Therefore, the answer is has a slope of [tex]\frac{3}{4}[/tex] and passes through the point (0,1).
Answer:
Its C, or the third option.
Step-by-step explanation:
Rise/run on this graph is 3/4
and y-intercept is (0, 1)
so C, or third option is correct.
Please help me Im confused on this problem
Answer:
b = 6 sqrt(2)
Step-by-step explanation:
Since this is right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
3^2 + b^2 = 9^2
9+b^2 = 81
b^2 = 81-9
b^2 = 72
Take the square root of each side
sqrt(b^2) = sqrt(72)
b = sqrt(36*2)
b = 6 sqrt(2)
PLEASE HELP I WILL MARK BRAINLIEST
Cubcivtiv tyk ok givyog Answer: gg
Step-by-step explanation:
if -1 is a zero of polynomial ax^²-x²+x+4, find the value of a
Answer:
a = -2
Step-by-step explanation:
Given that,
-1 is a zero of the polynomial. i.e. x = -1.
The polynomial is :
p(x) = ax²-x²+x+4
We need to find the value of a.
Put x = -1 in the above polynomial.
p(1) = a(-1)²-(-1)²+(-1)+4
For zeroes,
p(1) = 0
a(-1)²-(-1)²+(-1)+4 = 0
a-1-1+4 = 0
a = -2
So, the value of a is equal to -2.
what is the equivalent decimal to 3/3
Answer:
answer is 1
Step-by-step explanation:
3 and 3 gets cancel .when you divide the same number answer is always 1
y’all i’m stuck help me
======================================================
Explanation:
Think of 25 as 25/1 and 5 as 5/1
Choice E is really saying [tex]\frac{25}{1} \div \frac{5}{1}[/tex] which becomes [tex]\frac{25}{1} \times \frac{1}{5}[/tex]. Note the second fraction flips and we change to a multiplication sign.
------------
Or you could think of it like this:
[tex]25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5[/tex]
to help see why the answer is E.
Answer:
E
Step-by-step explanation:
[tex]\frac{3}{4}- \frac{2}{3}[/tex]
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
We require the fractions to have the same common denominator
The LCM of 4 and 3 is 12 , then
[tex]\frac{3(3)}{4(3)}[/tex] - [tex]\frac{2(4)}{3(4)}[/tex]
= [tex]\frac{9}{12}[/tex] - [tex]\frac{8}{12}[/tex]
= [tex]\frac{1}{12}[/tex]
40 points
hey whats the answer
pls show step explanation
Answer:.
Answer:1.we have dividend =divisor*quotient+remainder=
(x²+2x-1)(x²-2x+1)+(-4x+1)
=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1
=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1
=x⁴-4x²
Dividend is x⁴-4x².
2.
Multiplier is a-a²+1.
Answer:
[tex]i \: hope \: the \: above \: picture \\ helps[/tex]
[tex]have \: a \: nice \: day \: [/tex]
[tex]#Liliflim[/tex]
What is the answer for this question (What does the equation 100+0.05p=0.25p represent?)
Answer:
100+0.30p
hope this helps
have a good day :)
Step-by-step explanation:
Please help me with at least one problem i’m sort of confused on them but I was able to get one. And I will mark brainiest
Answer:
1. 5.75 * 33 = $189.75
The bakers income is $189.75
2. 2 * y - 8 / 4 when y = 7
2 * 7 - 8 / 4 = 12
3. 76 + 4 * y^2 + 1 when y = 3
76 + 4 * 3^2 + 1 = 113
pliss solve and give evidence
Answer:
4f + 3g
Step-by-step explanation:
g + 3f + f + g + g
3f + f = 4f
g + g = 2g + g = 3g
4f + 3g
What is L x W X H mean
Answer:
lincth times with times hight
Step-by-step explanation:
can someone please help me find f
Which is greater 5.97 or 5.946????
Answer:
5.97
Step-by-step explanation:
Answer:
5.97
Step-by-step explanation:
5.946 = 5.94
5.97>5.94
I need help again sorry-
Answer:
f(x) = - 2(x - 3)² + 2
Step-by-step explanation:
Given
f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )
= - 2(x² - 6x) - 16
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16
= - 2(x - 3)² + 18 - 16
= - 2(x - 3)² + 2
Are complementary angles adjacent?
A) Always
B) Sometimes
C) Never
Answer:
Always
Assumption:
At least how I know it.