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:
https://brainly.com/question/14930619
#SPJ3
The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?
I will ONLY give brainliest to whoever answer FIRST AND whoever answers CORRECTLY!
Answer:
There is 32in² more sand in the pyramid with greater volume.
Step-by-step explanation:
Volume of rectangular pyramid = l²*h/3, where l is the base length and h is height.
Volume of left pyramid=l²*h/3=8²*(6/3)=64*(2)=128in³
Volume of right period=l²*h/3=6²*(8/3)=36(8/3)=96in³
128-96=32, there is 32in² more sand in the pyramid with greater volume.
3^x = 9x. What is the value of x?
x = 3
[tex]3^{3} =[/tex] 3 x 3 x 3 = 27
9x = 9 x 3 = 27
What’s the correct answer for this question?
ANSWER
l
Or
Or
EXPLANATION
The given line has slope,
and
We can find the equation in the point slope form, which is given by,
We substitute the point and slope to get,
We can also simplify further to get,
We make y the subject to get,
This is called the slope intercept form.
We could also write in standard form to get
Or
A family buys 4 airline tickets online. The family buys travel insurance that costs $19 per ticket. The total cost is $752. Let x represent the price of one ticket. Write an equation for the total cost. Then find the price of one ticket.
Answer : 169
Step-by-step explanation:
4(x+19) = 752
4x +76 = 752
4x = 752 - 76
x = 676/4
x=169
Hope this helps ;)
Please mark me the BRAINLIEST
chose the number equal to -9 times -1/3
Tony weighs his pet turtle on a scale in his bathroom. The turtle weighs 6 1/4 pounds. His turtle weighed 3 1/6 pounds when he first got him. About how much more does his turtle weigh now?
500 people were surveyed about their favorite type of pet. 55% of the people said
"dog", 1/10 said "cat", 0.3 said "bird", and the rest said "other". How many people
responded "other"?
Answer:
25/500 or 5% said 'other'
Step-by-step explanation:
55% = 275 (dog)
1/10 = 50 (cat)
0.3 = 150 (bird)
Total = 475
475 out of 500 (95%) gave an answer other than 'other'
On which day of the month were you born?
a Categorical
or
b Numerical
Answer:
a (typing more bc of limit lolol)
Can someone help me pls
Answer:
AB is not a tangent
Step-by-step explanation:
yOA^2=OB^2+AB
AB y a tangent
19^2=361,15^2=225, 8^2+64=289
So here the tangent isn't a tangent.
Hope it helps.....
43.1424 divided by 8.56
Answer: 5.04
Step-by-step explanation:
PLS HELP WILL GIVE BRAINLIEST IVE BEEN ASKING FOREVER :(((((
Answer:
__C) 0.36
Step-by-step explanation:
4÷11= 0.36363636363636
so it's 0.36 with a line over it indicating a repeating decimal
calculate (4-3,5(2 1/7-1 1/5)):0,14
Answer:
sin (330)
cos (390)
csc (60)
------------------------------------------------
Hope this helps!!! :)
Cory writes the polynomial x7 + 3x5 + 3x + 1. Melissa writes the polynomial x7 + 5x + 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?
Answer:
Yes??
Step-by-step explanation:
7+3x5+3x+1
7+15+3x+1
22+3x+1
3x+23
7+5x+10
5x+17
Yes, much difference
---
hope it helps
sorry if i'm wrong, sum of the x's confused me
Answer:D
Step-by-step explanation:
please help i’ll give brainliest
An airplane is traveling at an altitude of 30,000 feet
above sea level and needs to get above 35,000 feet.
The airplane can climb 500 feet every minute. How
long will the airplane need to travel to get above 35,000
feet?
Answer:
Solution in photo
Alice has 5 quarters and 2 nickels. How many cents does Alice have
Answer:
Alice has 135 cents, or $1.35.
Step-by-step explanation:
A quarter is worth 25 cents.A nickel is worth 5 cents.Multiply 25 by 5, since there are 5 quarters. That will give you 125.Multiply 5 by 2, since there are 2 nickels. That will give you 10.Add 125 and 10. That will give you 135, which is your answer!Find the vertex of the parabola y = x2 + 5x.
What is the value of x in this figure?
Enter your answer in the box.
x=
Please help meeee!!
Answer:
x=48°
Step-by-step explanation:
We two lines cross over each other, making four angles, the angles opposite each other are equal. They're called vertically opposite angles.
What is the slope for a line that is perpendicular to the line y = 4x + 8?
Answer:
m2 =1/4
Step-by-step explanation:
m1 . m2 = 1
m1 is given 4 then
4.m2 =1
4.m2/4 =1/4
m2 = 1/4
Hello there!
The slopes of perpendicular lines are opposite reciprocals.
So, if one line has a slope of 4, then the slope of the line perpendicular to it is the opposite of 4 flopped over (-1/4)
And we're done! Hope it helps you!
If you have any questions, feel free to ask!
~An excited gal
[tex]MagicalNature[/tex] here to help
Simplify. 6 to the power of 2+3 to the power of 2.
Thanks!
Answer:
45
Step-by-step explanation:
6 to the power of 2 + 3 to the power of 2
6² + 3²
(6 × 6) + (3 × 3)
36 + 9
45
GCF of 48, 36, and 16. (this is all I need thx) :)
Answer:
4
Step-by-step explanation:
16=2^4
48=2^4·3
36=2²·3²
GCF=2^2
=4
hope this helps :)
Which point represents the opposite of —5 on the number line?
Answer:
5 :)
Step-by-step explanation:
A box is being packed with cubes that measure 1 cubic foot. What is the volume of the box in cubic feet
Answer:
81 cubic foot
Step-by-step explanation:
It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.
Now from the figure, we can see that :
Number of cubes fitting the box across its length = 9 cubes
Number of cubes fitting the box across its width = 3 cubes
Number of cubes fitting the box across its height = 3 cubes
And each of these cubes measures 1 x 1 x 1 cubic foot
So the volume of the box can be found out by:
Volume = length x width x height
= 9 x 3 x 3
= 81 cubic foot
Therefore volume of the box is 81 cubic foot.
which names apply to the number
48
integer
irrational
real
whole
rational
Answer:
All except irrational apply to the number 48
John buys an item that costs $50.00 is marked 20% off. Sales tax for the item is 8%. What is the final price that John pays, including tax?
Answer:
$43.20
Step-by-step explanation:
20% of $50.00 is $10.00. $50 - $10 is $40. 8% of $40 is $3.20. Since this is tax, you must add it. $40+$3.20 = $43.20
Four friends each took a different path walking from the drinking fountain to the cypress tree. Who walked the farthest?
Rowan 150yd
Janelle 429ft 8in
Domingo 130yd 2ft
Lydia 460ft
PLEASE HELP NO SCAM LINK OR REPORTED :) THANKS
Answer: b
Step-by-step explanation:
2x is x doubled
and then add 5 to the product
multiply the polynomial
(x-1)(2x^2-5x+1) 
Answer:
2x^3 - 7x^2 + 6x - 1
Step-by-step explanation:
Thank me later lol.
Mandy runs 4 km in 18 minutes. She plans to run in a 16 km race. Based on her current speed. how long will it take her to complete the race
Answer:
72 minutes
Step-by-step explanation:
You need to set up 2 fractions and set them equal to one another to be able to solve this.
Equation: 4km/18min = 16km/x min
You need to find x. In order to do this you can use that butterfly method/cross multiplication. You do 4 times set equal to 18*16.
Next, you get 18*16=288 and you must divide the other side (4x) to get your final answer. So, 288/4= 72 minutes.
Hope this was helpful!
What App or what Website can help me solve problems of Statistics?
the varsity tutors ap statisyics app (app)