Answer:
4cm
Step-by-step explanation:
A decagon has 10 sides that are probably equal. one of the sides is 4cm.The remaining 9sides = 9×4 = 36cmeach sides are 4cm.Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
A regular decagon is a polygon with ten sides of equal length and ten angles of equal measure.
To find the length of each of the other sides, we can use the fact that a regular decagon can be divided into ten congruent isosceles triangles.
The isosceles triangle can be split into two right triangles by drawing an altitude from the vertex opposite the base to the midpoint of the base.
Let's call the length of one of the equal sides of the isosceles triangle "s", and let's call the length of the altitude "h".
Then we can use the Pythagorean theorem to find the length of the other side:
s² = h² + (s/2)²
We can solve for "h" in terms of "s" as follows:
h² = s² - (s/2)²
h² = (4s²)/4 - s²/4
h² = (15s²)/16
h = (s√15)/4
Since the altitude divides the isosceles triangle into two congruent right triangles, each with a hypotenuse of "s",
We can use the Pythagorean theorem again to find the length of each of the other sides of the regular decagon:
s² = h² + (s/2)²
s² = [(s√15)/4]² + (s/2)²
s² = (15s²)/16 + (s²)/4
s² = (15s² + 4s²)/16
s^2 = (19s²)/16
s = √(19/16) s
s = (√19/4) cm
Therefore,
Each of the other sides of the regular decagon is (√19/4) cm long, or approximately 1.861 cm to three decimal places.
Learn more about the Pythagorean theorem here:
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Solve the equation using the method of completing the square.
Answer:
D) x = ± 2√5 - 4
Step-by-step explanation:
2x² + 16x - 8 = 0
Yah, i plugged this into m a t h w a y
(all of ur questions pretty much can use this app or website)
Answer:
D
Step-by-step explanation:
Given
2x² + 16x - 8 = 0 ( divide through by 2 )
x² + 8x - 4 = 0 ( add 4 to both sides )
x² + 8x = 4
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(4)x + 16 = 4 + 16
(x + 4)² = 20 ( take the square root of both sides )
x + 4 = ± [tex]\sqrt{20}[/tex] = ± [tex]\sqrt{4(5)}[/tex] = ± 2[tex]\sqrt{5}[/tex] ( subtract 4 from both sides )
x = - 4 ± 2[tex]\sqrt{5}[/tex] → D
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is nine times the measure of the first angle. The third angle is 26 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
Answer:
the measures of the three angles: x=18°, y= 68°, z=. 94°
Evaluate x2 + 6, when x=8
Help.
I need help please fast .................
Answer:
I have no idea what sohcahtoa is but:
tan 50.1° = x/5
1.196 = x/5
multiply both sides of the equation by 5:
x = 5.98
Jaime is employed by Johnson & Johnson making $30 an hour. She had $400 in sales, which
she receives an 8% commission. If she worked 20 hours last week, what was her weekly
pay?
Answer:
$632
Step-by-step explanation:
Set up an equation:
$30(20 hours) + ($400 × 0.08)
$600 + $32
$632
solve the equation f/3+22=17
Answer:
f = -15
Step-by-step explanation:
f/3 + 22 - 22 = 17 - 22
f/3 + 0 = -5
f/3 = -5
f = 3 × (-5)
f = -15
Thus, The answer is -15
-TheUnknownScientist
Which of the following is a true statement?
o & >
o = }
Os <
Answer:
the last one Denise, is the only one that is true
Step-by-step explanation:
Answer:
last one
Step-by-step explanation:
answer of the question
Answer:
The number of milk chocolate pieces is between 115 and 120 pieces.
Step-by-step explanation:
Pearl deposited $60 into her savings account. According to the rule of 72, what interest rate will cause her money to double in approximately 33 years?
Answer:2.2%
Step-by-step explanation:
can anyone help me with this please! Serious plz lol
I hope this helps you
Allison collected books to donate to different charities. The following expression can be used to determine the number of books each charity received.
(12 + 4 • 5) ÷ 2
Based on this expression, how many books did each charity receive?
Given the angles in the diagram below, what is mZ2?
Answer:
98
Step-by-step explanation:
Hello There!
The angle that has a measure of 82 degrees and the angle labeled "2" are supplementary angles.
This meaning that the sum of the two angles is 180
So to find the missing angle (2) we subtract the given angle (82 in this case) from 180
so ∠2 = 180 - 82
180 - 82 = 98
Hence, the answer is 98°
Which is a better deal on a $345 item: 40% off original price or 30% off and additional 15% at the register?
Answer:
345 - 40% = 207$
Step-by-step explanation:
(345 - 30%) - 15% = 205.3 (Better deal)
Answer:
30% off and additional 15% at the register
Step-by-step explanation:
Deal 1
$345 × 40% = $138
$345 - $138 = $207
Deal 2
$205.30
16. Simplify the expression.
(6 + 47) + (4 + 61)
-10 - 10
10 + 10i
201
10 - 10
In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of ther- mal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Ğ¢ÑÑеп ni xi si
Graded 42 0.486 0.187
No-fines Ñ 42 0.359 0.158
Assume that the conductivity for each sample of concrete is independent of that of all the others. Our interest is in determining if the mean conductivity for the graded concrete is significantly different than the mean conductivity for the no-fines concrete?
Required:
a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Step-by-step explanation:
Given - In selecting a sulfur concrete for roadway construction in regions that experience heavy frost, it is important that the chosen concrete has a low value of thermal conductivity in order to minimize subsequent damage due to changing temperatures. Suppose two types of concrete, a graded aggregate and a no-fines aggregate, are being considered for a certain road. The table below summarizes data on thermal conductivity from an experiment carried out to compare the two types of concrete.
Type ni xi si
Graded 42 0.486 0.187
No-fines 42 0.359 0.158
To find - a. Formulate the above in terms of a hypothesis testing problem.
b. Give the test statistic and its reference distribution (under the null hypothesis).
c. Report the p-value of the test statistic and use it to assess the evidence that this sample provides on the scientific question of difference in mean conductivity of the two materials at the 5% level of significance.
Proof -
a.)
Hypothesis testing problem :
H0 : There is significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
H1 : There is no significant difference between mean conductivity for the graded concrete and mean conductivity for the no fines concrete.
b)
Test statistic :
[tex]Z = \frac{x_{1} - x_{2} }{\sqrt{\frac{s_{1} ^{2} }{n_{1}} + \frac{s_{2}^{2} }{n_{2}} } }[/tex]
[tex]Z = \frac{0.486 - 0.359 }{\sqrt{\frac{0.03496 }{42} + \frac{0.02496 }{42} } }[/tex]
[tex]Z = \frac{0.127 }{\sqrt{0.001468}}[/tex]
[tex]Z = \frac{0.127 }{0.0377}[/tex]
⇒Z(cal) = 3.3687
Z(tab) = 1.96
As Z (cal) > Z(tab)
So, we reject H0 at 5% Level of significance
p-value = 0.99962
Hence
There is significant difference in mean conductivity at the two materials.
This angle cuts out 1/4 of the circle. Find the measure of the angle.
Answer:
90 degrees
Step-by-step explanation:
What is the answer please I need help if you send a link I will report because your just trying to scam someone
Answer:
The median is 6.
Step-by-step explanation:
Christie's Auction sold a painting for
$24,500. It charges all buyers a 15%
premium of the final bid price. How much
did the bidder pay Christie's?
The price that bidder pays to Christie's is $2130.4.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
And to convert a fraction or a decimal into percentage, they are multiplied by 100.
Given that,
The price for which painting is sold is $24,500.
The percentage of premium price of the final bid is 15%.
Suppose the price paid by the bidder be x.
Then, as per the question the following equation can be written for the price of painting,
x + 15% of x = 24500
=> x + (15/100)x = 24500
=> 115x/100 = 24500
=> x = (24500 × 100) ÷ 115
=> x = 2130.43
Hence, the amount paid to Christie's is $2130.4.
To know more about percentage click on,
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Complete the table. Thanks in advance
Answer:
20%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
65.60/82.00
2 1/2 ft x 1/4 ft
please help
Step-by-step explanation:
0.0580644 m2 hope this helps
Step-by-step explanation:
Here,
[tex] \frac{21}{2}ft \: \times \: \frac{1}{4} ft[/tex]
[tex] = \frac{21}{8} {ft}^{2} [/tex]
OR :
[tex]2 \frac{5}{8} {ft}^{2} \: \: also \: \: \: 2.625 {ft}^{2} [/tex]
DO NOT PRANK!! I NEED HELP PLS (will give brainly)
Use the diagram below for this question. The angle bisectors of triangle ABC meet at G.
If m∠ ABC = (4x + 12) degrees and m∠ GBA = (3x – 4) degrees , find m∠ GBC.
A.26 degrees
B.44 degrees
C.52 degrees
D.36 degrees
Answer:
b
Step-by-step explanation:
hiiii
a plate moves at a sped of 45 mm/yr. How far will the plate move in 100 years?
Answer:
4,500 millimeters per year.
Step-by-step explanation:
brainliest?
Answer:
4500 mm or 4.5 m
Step-by-step explanation:
45 mm/yr x 100 yr = 4500 mm = 4.5 m
What is the area of the parallelogram
shown above?
[?] square feet
Answer:
299 square feet
Step-by-step explanation:
Area of a parallelogram = base × height
Base = 23 ft
Height = 13 ft
Note: the other length, 15 ft is not needed in calculating area of the parallelogram. All we need is just the length of the base and the height.
Area of the parallelogram shown = 23 × 13
Area = 299 ft²
Zane is putting the strings on 5 harps. Each harp has 48 strings.
How many strings does Zane need for all 5 harps?
Answer:
Zane needs 240 strings for 5 harps.
Step-by-step explanation:
All you have to do is multiply
48 * 5 = 240
So, the answer is 240
Hope this helps! :)
Which is not a true statement about the disadvantages of certain methods of payment?
Answer:
I dont know explaining more its not clear plz explaining ore
What is the length of missing side X? Options are on photo
Help ASAP
Answer:
it should be 5 because its a rectangle
Answer:
x = 5cm
Step-by-step explanation:
Remember opposite sides of a rectangle are congruent
The opposite side of side "x" is equal to 5 cm therefore x = 5 cm
Important note! : The triangle does not change the side length as it is formed using it.
I need help with my math assignment
PAST DUE DATE NEED DONE NOW! NO LINKS! HELP ME FIND THE EQUATION
To write an equation for this line, you first need to understand how to derive it.
Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:
y = mx + b
m: The slope of the line
b: The y-intercept (The point where the line is at the y-axis)
Now that we've defined our variables, how do we go about making the actual equation? Let's start off with the slope, m.
The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially [tex]\frac{rise}{run}[/tex]
Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.
Therefore:
m = [tex]\frac{rise}{run}[/tex]
m = [tex]\frac{22}{1}[/tex]
m = 22
We now have the first variable of the equation.
y = 22x + b
What about b? As we established earlier, b is the value of coordinate y at the y-intercept. Essentially, to find b we need to know what the value of y is when the coordinate x is 0.
As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:
y = 22x + 0
y = 22x
If you'd like me to explain how I did anything, just ask!
- breezyツ
Answer:
Equation: y=22x + 0 (you can put 0 if you want)
Step-by-step explanation:
Okay, so this is set up as a y=mx+b equation meaning that m=rate of change and b=y-intercept. If a cheetah runs 22 feet per second which is x, that means that m=22. And if 1 second is equal to 22 feet then in 0 seconds they run 0 feet, which is your y-intercept. Another way to find the rate of change (m) is by using the equation y2-y1/x2-x1 or 44-22/1 in this case. This equation is usually written as y=22x. Hope this helps!
GIVING BRAINLIEST PLS HELP
(x + 3)^2 – 3 = 0
lesser x =
greater x=
А Campus athletics is interested in the proportion of registered students living on campus who play basketball recreationally during the semester. They take a random sample of 198 registered students listed as living in campus housing and ask each whether or not they do so. A 95% confidence interval is correctly calculated from this data as (0.12, 0.18). Which of the following is the correct interpretation of this confidence interval ?
a. None of these are correct.
b. We are 95% confident that the proportion of the 198 sampled students that actually play basketball is between 0.12 and 0.18
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
d. The sample proportion of on-campus students that play basketball will be between 0.12 and 0.18 in 95% of samples of size 198
Answer:
c. We are 95% confident that, among the population of students that play basketball recreationally, the proportion who live on campus is between 0.12 and 0.18.
Step-by-step explanation:
According to the question, it is mentioned that there is 95% confidence interval and it is calculated (0.12,0.18)
So the correct interpretation is that they are 95% confident that the students who play basketballs the proportion should lies between 0.12 and 0.12
So, the option C is correct
The rest of the options are wrong
