Answer:
16.7 Units
Step-by-step explanation:
To find the length of r, you set up the equation as sin(45)= 4.9/r. Then you get r by itself changing it to r = 4.9/sin(45). Then you can find that r = 6.9. Since this is an isosceles triangle, n^1 has to be equal to 4.9. Then you add all the side lengths together. 4.9 + 4.9 + 6.9 = 16.7 units
Answer:
it is b
Step-by-step explanation:
just because it is ...
Please help! I will mark you the brainliest! In rectangle shown B and F are midpoints of AC and AE, respectively. Find the ratio of the area of quadrilateral ABDF to the area of the rectangle.
Answer:
The awnser is 50:100 or simplified 1:2
Step-by-step explanation:
The ratio of ABDF is exactly half of ACDE since F is the midpoint of AE and B is the midpoint of AC
PLZ ANSWER If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?
Answer:
y=(x-2)^2
Step-by-step explanation:
just simply change the sign.
Use DeMoivre's Theorem to find the following. Write your answer in
standard form.
Answer:
Option C.
Step-by-step explanation:
The given expression is
[tex]\left(\sqrt{2}cis \dfrac{9\pi}{20}\right)^5[/tex]
It can be rewritten as
[tex]\left(\sqrt{2}\cos \dfrac{9\pi}{20}+i\sin\dfrac{9\pi}{20}\right)^5[/tex]
According to De moivre's Theorem:
[tex][r(\cos\theta+i\sin \theta)]^n=r^n(\cos n\theta +i\sin n\theta)[/tex]
Using De moivre's Theorem, we get
[tex](\sqrt{2})^5\left(\cos \dfrac{9\pi\times 5}{20}+i\sin\dfrac{9\pi\times 5}{20}\right)[/tex]
[tex]=4\sqrt{2}\left(\cos \dfrac{9\pi}{4}+i\sin\dfrac{9\pi}{4}\right)[/tex]
[tex]=4\sqrt{2}\left(\cos (2\pi +\dfrac{\pi}{4})+i\sin (2\pi+\dfrac{\pi}{4})\right)[/tex]
[tex]=4\sqrt{2}\left(\cos \dfrac{\pi}{4}+i\sin \dfrac{\pi}{4}\right)[/tex]
[tex]=4\sqrt{2}\left(\dfrac{1}{\sqrt{2}}+i\dfrac{1}{\sqrt{2}}\right)[/tex]
[tex]=4+4i[/tex]
Therefore, the correct option is C.
Which equation could generate the curve in the graph below?
Answer:
The answer is option 1.
Step-by-step explanation:
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercept).
Option 1,
[tex]y = 3 {x}^{2} - 2x + 1[/tex]
[tex]D = {( - 2)}^{2} - 4(3)(1)[/tex]
[tex]D = - 8[/tex]
[tex]D < 0[/tex]
Option 2,
[tex]y = 3 {x}^{2} - 6x + 3[/tex]
[tex]D = {( - 6)}^{2} - 4(3)(3)[/tex]
[tex]D = 0[/tex]
Option 3,
[tex]y = 3 {x}^{2} - 7x + 1[/tex]
[tex]D = {( - 7)}^{2} - 4(3)(1)[/tex]
[tex]D = 37[/tex]
[tex]D > 0[/tex]
Option 4,
[tex]y = 3 {x}^{2} - 4x - 2[/tex]
[tex]D = {( - 4)}^{2} - 4(3)( - 2)[/tex]
[tex]D = 40[/tex]
[tex]D > 0[/tex]
As you look at the graph, the curve does not meet x-axis so the discriminant must be less than 0.
The given curve in the graph is generated by the equation y =3x² - 2x +1. The correct option is A.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
In order to find the equation, you have to apply Discriminant Law, D = b² - 4ac. When D < 0, the equation has no real roots (no x-intercept). When D = 0, it has 2 and equal roots (1 x-intercept). When D > 0, it has 2 distinct roots (2 x-intercepts).
Option 1,
y =3x² - 2x +1
D = b² - 4ac
D = ( -2 )² - ( 4 x 3 x 1 )
D = 4 - 12
D = -6
D < 0
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Select the correct answer from each drop-down menu. At a business conference, there were 10 social workers, 16 doctors, 5 lawyers, and 2 journalists. If a person is picked at random from the entire group, it is to be/likely/unlikey/niether. be a lawyer, and it is to be a doctor.
Answer:
If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
Step-by-step explanation:
I honestly don't know the answer and that the person above me makes no sense.
he said "If a person is picked at random from the entire group, it is
unlikely
to be a lawyer, and it is.....
Unlikely was right but likely was wrong
WHAT IS THE ANSWER TO THE DOCTOR PART???
Triangle DEF will be rotated 180° clockwise. Where will D’ be located?
a. (4, -7)
b. (-4, -7)
c. (-7, 4)
d. (-7, -4)
Answer:
a. (4, -7)
Step-by-step explanation:
Point D is at (-4,7).
Rule for a 180° rotation clockwise around the origin:
[tex](x,y)\rightarrow(-x,-y)[/tex]
Apply the rule to point D:
[tex](-4,7)\rightarrow(4,-7)\\\\\left \{ {{-4*-1=4} \atop {7*-1=-7}} \right.[/tex]
Option A should be the correct answer.
Brainilest Appreciated.
Answer:
a. (4, -7)
Step-by-step explanation:
Two kinds of fish can be found in a small tank. The blue fish is two fifthteenths feet long and the orange fish is seven tenths feet long. How much longer is the orange fish?
Answer:17/30
Step-by-step explanation:
You have 2/15 and 7/10. You have to find a common denominator. I used 30. Multiply 2/15 by 2/2 and 7/10 by 3/3 to get 4/30 and 21/30. Then solve this equation: 21/30-4/30. The answer is the answer to the problem.
What is the area, in square centimeters of the trapezoid below?
Answer:
68.8cm^2
Step-by-step explanation:
A trapezoid=h/2(b1+b2)
A trapezoid=6.4/2(12.9+8.6)
A trapezoid=3.2(21.5)
A trapezoid=68.8cm^2
2. Determine which of the following angle measures are correct. Select two that apply.
60°
Answer:
B,MJAB=115°
D,mCBA=55°
Step-by-step explanation:
In the circle below, O is the center, MP is a diameter, and m angle POL = 85º. Find the measure of LNP.
Answer:170
Step-by-step explanation:
The measure of angle LNP is 275 degrees.
What is the inscribed angle theorem?The inscribed angle theorem says that an inscribed angle is half the intercepted arc measure.
In the circle below, O is the center, MP is the diameter, and mangle POL = 85º.
The measure of angle LNP is determined in the following steps given below.
[tex]\rm \angle LNP=360-\angle POL\\\\ \angle LNP=360-85\\\\ \angle LNP=275[/tex]
Hence, the measure of angle LNP is 275 degrees.
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A computer tallied the time to work for 200 days and found it reasonable to normal curve. The main Thomas 35 minutes, and the standard deviation with six minutes. For the 200 workday experiment, find the percent of tonic me to work more than 41 minutes.
Answer:
The probability that computers work more than 41 minutes is 0.15866 or 15.87%.
Step-by-step explanation:
We are given that a computer tallied the time to work for 200 days and found it reasonable to the normal curve. The mean is 35 minutes, and the standard deviation with six minutes.
Let X = the time taken by computer to work for 200 days.
So, X ~ Normal([tex]\mu=35, \sigma^{2} =6^{2}[/tex])
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean time = 35 minutes
[tex]\sigma[/tex] = standard deviation = 6 minutes
Now, the probability that computers work more than 41 minutes is given by = P(X > 41 minutes)
P(X > 41 minutes) = P( [tex]\frac{X-\mu}{\sigma }[/tex] > [tex]\frac{41-35}{6 }[/tex] ) = P(Z > 1) = 1 - P(Z [tex]\leq[/tex] 1)
= 1 - 0.84134 = 0.15866
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.84134.
Find the value of 3[tex]\sqrt{x}[/tex] + 7 if x = 25.
Answer:
The answer is
22Step-by-step explanation:
3√x + 7
x = 25
Substitute the value of x into the expression
That's
3(√25) + 7
√25 = 5
So we have
3(5) + 7
= 15 + 7
= 22Hope this helps you
Answer:
22
Step-by-step explanation:
3 + 7 if x = 25.
3/25+7
3x5+7 multiply
15+7 calculate
solution =22
got it right on the test!
What’s the slope for this graphed?
A.5
B.1/3
C.2
D.3
Consider points a, b, and c in the graph. Which point is the global maximum? Question 6 options: A) b B) c C) None of these D)
Answer:
point a is the maximum
Step-by-step explanation:I took the test
Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter.
Answer:
Options?
Step-by-step explanation:
Answer:
3.7 meters
Step-by-step explanation:
In the circle below, O is the center, MP is a diameter, and mZMOL = 60°. Find the measure of LNM.
Answer:
30°
Step-by-step explanation:
Hey, srry for the inaccurate sketch
I hope you will understand the way I solved it
If not, don't hesitate to ask questions ;)
Image attached: some sort of triangle stuff
Answer:
C
Step-by-step explanation:
On edg 2020
which expression below would not be equivalent to 12n+ 6
1) 3(4n+2)
2) 2(6n+3)
3) 6(2n+1
4)12 (n +4)
Answer:
4)12(n+4)
=12n+48
Step-by-step explanation:
Answer:
4) 12(n + 4) = 12n + 48
Step-by-step explanation:
The temperature at noon is -4 degrees Celsius. The temperature at 6:00pm is -12 degrees Celsius. What is the difference between the noon and the 6:00pm temperatures?
Answer: -8 degrees
Step-by-step explanation: 12-4 is 8 so the difference is -8
HEYY! REALLY SIMPLE QUESTION : ) …..the strange creature moved slowly making terrifying sounds. It looked around…. (Write a story using the following cues somewhere in the story) I JUST NEED SUM IDEAS PLS : ) also ik this is not a math question but oh well I guess..... THANK U!
Answer:
so u could write about its teeth
Step-by-step explanation:
and its legs or its scary presence or its long arms and it erupted from a haunted house
hope this helps : )
i would appreciate it if you can heart and like this answer and maybe even give it 5 stars or brainliest
ten times a number increased by eighty four equals 194. what is the number
Answer: x = 11
Step-by-step explanation:
10x+84=194
10x = "10 times a number"
+84 = "increased by eighty four"
=194 = "equals 194"
10x+84=194
Subtract 84
10x = 110
Divide by 10
x = 11
Hope it helps <3
Answer:
The number is 11
Step-by-step explanation:
Represent the number by n.
Then: 10n + 84 = 194.
Subtracting 84 from both sides, we get: 10n = 110, and so:
n = 110/10 = 11
umm i dont know why i am getting a different answer from the ones that are listed plz help
Answer:
A. 5 : 3
Step-by-step explanation:
Number of blue cups : Number of red cups
10 : 6
Divide to the lowest terms
10 ÷ 2 : 6 ÷2
5 : 3
Answer:
The answer is A
Step-by-step explanation:
The ratio of blue cups to red cups is 10:6 you can figure this out by counting how many blue cups there are and how many red cups there are.
Now that you have your ratio of 10:6 which means for every 10 blue cups there will be 6 red cups. You can work with this and find equivalent ratios by multiplying or dividing. In this case you would have to divide in half to find the ratio 5:3
Hope this helps!
No explanation needed answer fast TY
Answer:
50.24
Step-by-step explanation:
The first step is to find the area of it if it was a whole circle
you get this by squaring the radius
8*8 or 8^2= 64
then, you have to multiply it by 3.14 which gives you
200.96.
Then divide it by 4 to get a quarter of the circle to get the final answer
50.24
Hope this helps, if it does, please give me brainliest, it will help a lot :)
Have a good day
whats 4x^(3)-12x^(2)-16x factored? pls explain too! i give brainliest
Answer:
4x(x-4)(x+1)
Step-by-step explanation:
Please see the picture.
WILL MARK BRAINLIEST Beth has a graph to represent her distance when she runs 5 miles per hour. What would the point (2, 10) mean on her graph? Explain what this graph might look like.
Answer:
Ok so you have to find how much it goes up at a time. So the first one is 1,5. Then multiply both by 5 to get 5,25. That is your answer then. The graph will have 5 on the bottom and 25 on the side.
Step-by-step explanation:
What is the remainder in the synthetic division problem below?
O A. 5
O B. 9
O O. 3
O D. 7
Answer:
The answer is option D.
I hope it's what you require.
Answer:
D) 7
Step-by-step explanation:
1 / 4 6 -3
4 10
4 10 7
Step 1: Carry down the first number 4 as it is
Step 2: Multiply 4 by 1 [4 * 1 = 4] and write down this 4 under the next number 6 and then add. 6 + 4 = 10
Step 3: Multiply 10 by 1 [10 * 1 = 10] and write down this 10 under the next number -3 and then add. -3 + 10 = 7
And now 7 is the remainder
The Goodsmell perfume producing company has a new line of perfume and is
designing a new bottle for it. Because of the expense of the glass required to
make the bottle, the surface area must be less than 150 cm2. The company also
wants the bottle to hold at least 100mL of perfume. The design under
consideration is in the shape of a cylinder.
Determine the maximum volume possible for a cylindrical bottle that has a total
surface area of less than 150 cm2. Determine the volume to the nearest 10mL.
Report the dimensions of the bottle and the corresponding surface area and
volume.
PLEASE WILL MARK BRAINLIEST
Given:
It is given that surface area must be less than 150 cm².
Solution:
The Maximum Volume With Total Surface Area Less than 150 cm² is shown in the table.
From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm² and the volume will be the maximum.
[tex]S=2\pi rh+2\pi r^2\\S=2\pi (3)(7.95)+2\pi3^2\\S=93.3+56.5\\S=149.8 \text{ cm}^2[/tex]
Calculate the volume.
[tex]V=\pi r^2h\\V=\pi(3)^2(4.95)\\V=139.96[/tex]
Hence, the required dimensions are r=3.00 cm and h=4.95 cm.
What is the value of log,(5)1252
3
5
15
25
Which set of ratios could be used to determine if one triangle is a dilation of the other? A triangle has side lengths of 4, 6, 8.5. A second triangle has side lengths of 6, 9, 12.5. StartFraction 4 Over 6 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 6 Over 4 EndFraction = StartFraction 6 Over 9 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 9 Over 6 EndFraction = StartFraction 8.5 Over 12.5 EndFraction StartFraction 4 Over 6 EndFraction = StartFraction 8.5 Over 9 EndFraction = StartFraction 6 Over 12.5 EndFraction
Answer:
[tex]\frac{4}{6}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{8.5}{12.5}[/tex]
Step-by-step explanation:
The set of ratios must have numerators coming from the same triangle and denominators coming from the same triangle. The other set of ratios have some numerators coming from both triangles and/or denominators coming from both triangles.
Answer:
A
Step-by-step explanation:
What is the arithmetic mean of the following numbers? 6 , 4 , 1 , 9 , 3 , 8 , 3 , 5 , 10
Answer:
5.4Step-by-step explanation
First find the mean of the numbers which you do by adding the numbers all together and then you will get 49.Then you have to divide 49 by the amount of numbers there are so there are 9 numbers so you do 49 ÷ 9 and you will get 5.4.Answer = 5.4The arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4
What is arithmetic mean?The arithmetic mean is the quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.
According to the given question we have
A data set 6, 4, 1, 9, 3, 8, 3, 5, 10
The total numbers in the given data set is 9
Therefore, the arithmetic mean of the given data set is given by
Arithmetic mean = [tex]\frac{6 +4+1+9+3+8+3+5+10}{9}[/tex]
⇒ Arithmetic mean = [tex]\frac{49}{9}[/tex]
⇒ Arithmetic mean = 5.4
Hence, the arithmetic mean of the numbers 6, 4, 1, 9, 3, 8, 3, 5, 10 is 5.4
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