Answers
Answer:
[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]
Related Questions
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 73%. You would like to be 95% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required
Answers
Answer:
A sample size of 474 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Based on previous evidence, you believe the population proportion is approximately 73%.
This means that [tex]\pi = 0.73[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2[/tex]
[tex]n = 473.24[/tex]
Rounding up:
A sample size of 474 is required.
A triangle has sides 12, 35, and 37. Identify whether the triangle is right, acute, or obtuse.
Answers
Answer:
Right triangle
Step-by-step explanation:
Using pythagorean theorem,
[tex]c^2 = a^2 + b^2\\37^2 = 12^2 + 35^2 \\1369 = 144 + 1225\\1369 = 1369[/tex]
Hence satisfied. So it is right triangle.
Chelsea is designing a window with different-shaped pieces of glass. The shapes she is using are listed below.
Hexagons
Rectangles
Squares
Trapezoids
Which of the shapes she is using can also be classified as a quadrilateral?
Answers
Answer:
rectangle, square and trapezoids can be classified as quadrilaterals
I need to know this question asap
Answers
Answer:
.
Step-by-step explanation:
HELP ASAP
I NEED HELP
Answers
Answer:
1;27
Step-by-step explanation:
For the following set of data, find the population standard deviation, to
the nearest thousandth.
45, 30, 35, 20, 21, 46, 16, 37
Answers
=====================================================
Explanation:
Before we can find the standard deviation, we need to find the sample mean which is xbar.
Xbar is found by adding up the values and dividing by n = 8 since there are 8 values in this data set
xbar = (sum of values)/n
xbar = (45+30+35+20+21+46+16+37)/8
xbar = 31.25
Refer to the spreadsheet table below in the attached image. The first column is the column of x values, which is the data set given to us. The next column over is the expression x-xbar, which will have us subtract xbar from each data value.
Example: x-xbar = 30-31.25 = -1.25 in row 2
From there, we square everything in that second column to form the third column. Adding everything in that third column results in the yellow highlighted value 919.5
---------------
The next step is to divide that over n = 8 to get 919.5/n = 919.5/8 = 114.9375
This is the population variance. Apply the square root to get the population standard deviation
sqrt(variance) = sqrt(114.9375) = 10.7208908
which is approximate. This rounds to 10.721
---------------
Note: if you wanted the sample standard deviation, then you'd divide by n-1 = 8-1 = 7. However, the other steps mentioned are identical.
1.
a. Find the lengths of the unlabeled sides.
Answers
Answer:
The first one-6.324 (This number actually goes on forever), The second one-10
Step-by-step explanation:
1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324
2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10
Find mEC.
5x - 27)
(2x - 5)
D
Answers
Answer:
Arc EC = 58°
Step-by-step explanation:
First, find the value of x.
m<D = ½(arc EC) => Inscribed Angles Theorem
Substitute
2x - 5 = ½(5x - 27)
Multiply both sides by 2
2(2x - 5) = 5x - 27
4x - 10 = 5x - 27
Collect like terms
4x - 5x = 10 - 27
-x = -17
Divide both sides by -1
x = 17
Find arc EC:
Arc EC = 5x - 27
Plug in the value of x
Arc EC = 5(17) - 27 = 85 - 27
Arc EC = 58°
Help me please I am not sure about the answer
Answers
Answer:
(a)
[tex] {x}^{2} + 2x \\ = x(x + 2)[/tex]
(b)
[tex]2 {x}^{2} - 6x \\ = 2x(x - 3)[/tex]
(c)
[tex]15x - 10 {x}^{3} \\ = 5x(3 - 2 {x}^{2} )[/tex]
(d)
[tex]9 {x}^{2} + 3 {x}^{3} \\ 3 {x}^{2} (3 + x)[/tex]
write an equivalent expression: −12(−2x+4y)
Answers
Answer:
24x-48y
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
−12(−2x+4y) = 24x - 48y
______
From your position at (0,0), you measure a vehicle at (8,5). The vehicle is driving an equal
amount both North and East away from you. After some time, you measure the vehicle's
position and notice that the angle the vehicle made with you has increased by 8 degrees. Let x
be the distance traveled away from you in both the North and the East direction. Solve for the
value of x.
a) X = 5.5
b) X = 10.6
c) X = 12
d) X = 7.6
Answers
Answer:
Line goes 11.2583303 meters in the x direction (east) and 7.5 meters in the y direction (north) .
Step-by-step explanation:
i hope i help have a great day :))
i need help ive been stuck on these questions
Answers
Move the values to the boxes to complete the inequality statement.
5<____<7<____<9____<11
Helppp
Answers
Answers:
first blank = not sure (see explanation below)second blank = 3*sqrt(6)third blank = 3pi============================================================
Explanation:
Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.
We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9
Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11
As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.
The table represents data measuring the sound pressure level for noises with various sound pressures. If the sound pressure level is calculated based on the sound pressure, which regression equation models the data?
Answers
Answer: y=93.62logx + 19.81
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
What is the fraction of 100 and 3,000
Answers
[tex]\huge \bf{Question:-}[/tex]
What is the fraction of 100 and 3,000.
[tex]\huge\bf{Answer:-}[/tex]
[tex] \bf{ \frac{100}{3000} } \: simplified \: to \: lowest \: term \: is : - [/tex]
[tex] \bf \pink{ \frac{1}{30}} [/tex]
=1/30
=0.0333333333
−10x 2 +70x
factor the expression completely
Answers
Answer:
[tex]-10x^2 + 70 x = 10x(-x + 7)[/tex]
Explanation :
[tex]-10x^2 + 70x = -10\cdot x\cdot x + 7 \cdot 10 \cdot x[/tex]
'x' and '10' are common in the first and second term. so we take them outside the parenthesis and write the remaining terms inside.
That is, 10 x (-x + 7)
mark wants to fence 4 rectangular gardens with a length of 9 1/4 amd a width of 4 1/2 what is the total length of fenceing mark needs to surround all four gardens
Answers
Step-by-step explanation:
length of each rectangle= 9 1/14=127/14
breadth of each rectangle=5=4 1/2= 9/2
so perimeter of 1 rectangle= 2(l+r)
=2(127/14+ 9/2)
=2(127+63)/14
=2×190/14
=190/7
=27.14 feet
so total length of fencing= 4×27.14
=108.57 feet
hope you understand the solution and good luck!!
QUICK GIVING BRAINLIEST TO CORRECT ANSWER
Answers
Answer:
Step-by-step explanation:
Top and bottom
Area = L*W
L = 4
W = 2
Area = 4 * 2 = 8
But there are two of them (2 * 8) 16
Left and right
Area = L * W
L = 3
W = 2
Area = 2 *3 = 6
But there are two of them 12
From back
L*W = 4*3
But there are two of them 24
Total 52
Which set of angle meausres would determine a triangle
Answers
Answer:
180 degrees
Step-by-step explanation:
Area of the circle 42 m round nearest hundred
Answers
Answer:
Using the formula
A
=
π
r
2
Solving for
r
r
=
A
π
=
42
π
≈
3.65637
need help will give brainiest
Answers
Answer:
1. Triangles HIJ and KML
2. Triangles RST and YXZ
3. Reflexive property and Congruent Property
Step-by-step explanation:
Step-by-step explanation:
for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence
What number is shown on the number line
Answers
Answer:
Hey mate.....pls attach the pic..........
Give the exact value of the trigonometric function below:
sin (45)
Answers
firstable its not 45
its sin(-240)=sin(60)
sin(60)=√3/2
sin45=√2/2
suppose 3 years ago Rose was 24 years older than her daughter at present Rose is 5 times as old as her daughter how old will be the daughter in three years time
Answers
Answer:
Let Rose be R
Let her daughter be D
"3" yrs ago.
Subtract 3 from their ages
Rose was then (R-3) yrs old.
Daughter ..........(D-3)yrs old
So 3yrs ago.... Rose was 24yrs older than D.
Meaning
R=24+D
Which 3yrs ago can be expressed as
(R-3)=24+(D-3)
R - 3 = 24 + D - 3
R - D=24-3 + 3
R-D=24--------1
Now
At present.
R is 5times as old as Daughter
Meaning R = 5D-------2
Substituting into eqn 1
R-D=24
5D-D=24
4D=24
D=6yrs
Substitute D=6 into any equation of choice to get R
R-D=24
R=24+D
R=24+6
R=30yrs
Now we have Roses's age to be 30yrs and Daughter's age to be 6yrs.
We're asked to find the daughter's age in 3yrs time...
Meaning ....D+3
=6+3 = 9yrs
DAUGHTER WOULD BE 9YRS OLD IN 3YRS TIME.
Which is a chord of circle P?
Answers
Answer:
QR
Step-by-step explanation:
A chord is a line that joins two points on the outside of the circle
QR and KL are chords
ILL GIVE BRAINLIEST
Answers
Answer:
[tex] \sin(x _{1} ) = \frac{1}{2} \\ \sin(x _{1} ) = \sin(30 ) \\ x_{1} = 30 \\ \cos(x _{1}) = \cos(30 ) \\ \cos(x _{1}) = \frac{ \sqrt{3} }{2} [/tex]
(1.2 x 10^4)+(2.5 x 10^3)
Answers
2) 2.5 x 10^3= 2500
3) 12000+2500
= 14500
When money loses some of its value over time, it is caused by
A. purchasing power
B. FICA
C. recalculating worth
D. inflation
Answers
Answer:
D: Inflation
money loses value over time because there may be new laws or regulations that will make the value change i think thats part of it but it is D
Evaluate the expression when x=7 and y=-3. x2+2y
Answers
Answer:
Step-by-step explanation:
x = 7, y = -3 2x + 2y
2 (7) + 2 (-3) = 14 - 6 = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{x^2 + 2y}}\\\large\boxed{\mathsf{= 7^2 + 2(-3)}}\\\large\boxed{\mathsf{= 7\times7 + 2(-3)}}\\\large\boxed{\mathsf{= 49 + 2(-3)}}\\\large\boxed{\mathsf{= 49 - 6}}\\\large\boxed{= 43}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{43}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The diameter of a circle is 2 meters. What is the circles circumftance
Answers
Answer:
2π or 6.284 meters
Step-by-step explanation:
Circumference = πd
= 2π