Answer:
The rotational angle of a regular polygon with 72 sides is 5º.
Step-by-step explanation:
The rotational angle ([tex]\theta[/tex]), measured in sexagesimal degrees, of polygon of [tex]n[/tex] sides is the angle of a complete revolution divided by the number of sides ([tex]n[/tex]). That is:
[tex]\theta = \frac{360}{n}[/tex] (1)
If we know that [tex]n = 72[/tex], the rotational angle is:
[tex]\theta = \frac{360}{72}[/tex]
[tex]\theta = 5^{\circ}[/tex]
The rotational angle of a regular polygon with 72 sides is 5º.
Given that 2x -7y = 30
Find y when x = -3
Give your answer as an improper fraction in its simplest form.
y=
Answer:
The answer is 30 all over 3.
(6x + 6) + (-3 - 4x)
Answer:
2x+3
Step-by-step explanation:
[tex](6x+6)+(-3-4x)=2x+3[/tex]
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree. EXPLAIN HOW TO GET YOUR ANSWER PLEASE!
It's 87 feet I got the answer right
The height of the tree is estimated as 87 ft.
The height of the tree can be estimated using trigonometric ratios. Therefore,
tan 44° = opposite / adjacent
tan 44° = h / 90
h = 90 tan 44°
h = 90 × 0.9656887748
h = 86.9119897326
h ≈ 87 ft
Therefore, the height of the tree is estimated as 87 ft.
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Roy has 5 pounds of dried fruit to make snack bags. He separates each pound of dried fruit into thirds and wants to use 1 third pound for each bag. How many snack bags can he make with all of the dried fruit?
Answer:
15
Step-by-step explanation:
1 turns in to 3 and you multiply that by 5
A bag contains the following marbles: 6 black marbles, 18 blue marbles, 16 brown marbles, and 12 green marbles. What is the ratio of black marbles to blue marbles
Express your ratio as a fraction or with a colon.
Answer:
1 : 3
Step-by-step explanation:
HELP PLEASE!!!! WILL GIVE BRAINLIEST :)))
Answer:
4(x + 9) = 76
Hope that helps!
Btw, x = 10
Step-by-step explanation:
Please help!!! Will award BRAINLIEST to best answer!!!
If 12a + 3b = 1 and 7b - 2a = 0, what is the average a and b?
Answer: 1/4
Step-by-step explanation:
If you add the equations:
12a + 3b = 1
-2a + 7b = 0
------------------- (you get):
10a + 10b = 1 (divide by 10)
a + b = 1/2 (divide by 2 since average of two numbers is their sum divided by 2)
(a + b) / 2 = 1/4
Answer: 0.05
Step-by-step explanation:
1. 12a+3b=1
a= (1-3b)/12
2. 7b-2a=0
7b-2((1-3b)/12)
b=1/45
a=(1-3b)/12=(1-3(1/45))/12=7/90
Lastly: (7/90+1/45)/2=0.05
2 One six-sided die and one sixteen-sided die are rolled. What is the probability of rolling an even number on the six-sided die and rolling a 16 on the other die?
0.229
0.167
0.031
0.063
Answer:
C
Hope that helps!
Step-by-step explanation:
The difference between 30 and a number is 4.
Answer:
26
Step-by-step explanation:
30-4=26
thirty minus four equal 26
-42 < j(7)
Solving one step inequalities
Step-by-step explanation:
step 1. -42 < 7j
step 2. j > -6 (divide both sides by 7)
step 3. notice that I also put the variable first.
Which of these graphs represents the inequality x <10
Answer:
There are no graphs, but the graph should look lyke this:
An open circle on the point "10"
And from the 10, the arrow should be going left, towards the negatives, or smaller numbers than the ten
What is the solution to this system of equations? A.P.E.X btw
A) (4, -2)
B) (-2, 4)
C) (-1, 2)
D) (2, -1 )
The required solution to the system of equations is (x, y) = (-2, 4). Option B is correct.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
Here,
To solve this system of equations, we can set the two expressions for y equal to each other, since they both represent the same value of y,
x + 6 = -0.5x + 3
Simplifying and solving for x, we get:
1.5x = -3
x = -2
Now that we have the value of x, we can substitute it into one of the original equations to find the value of y. Using the first equation, we have,
y = x + 6
y = -2 + 6
y = 4
Therefore, the solution to the system of equations is (x, y) = (-2, 4).
Learn more about simultaneous equations here:
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The probability of an event occurring is 0.61. Which of the options below show the probability of an event that is less likely to occur? Select all that apply.
can you all please help me with a and b
Answer:
Step-by-step explanation:
a.
area of one face=3²=9 units²
b.
whole surface area=6×3²=6×9=54 units²
How do I solve this 8x+3y-x-2y
Answer:
7x+y
Step-by-step explanation:
1. collect like terms: x terms and y terms
2. solve for each terms: 8x -x= 7x. +3y-2y= 1y(which can be written as y).
your answer is 7x+y
Answer:
8x+3y-x-2y
Step-by-step explanation:
8x-x+3y-2y.......like terms
7x+1y
Evaluate (2√3 + √5)(2√3 - √5)
Answer:
= 4 × 3 - 5
=12-5
=7
Step-by-step explanation:
the answer is 7
noel is who is 18meters away from point P on the ground is flying kite directly above point P. if the string of the kite is 25cm. long from noel, how high is the kite from point P? round of your number to the nearest hundredths of meters.
Answer:
18 meters because the 18 meters away from kite is the same as point p
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
How is the data represented on a scatterplot that depicts an exponential model?
Answer:
you need key words
date
name
position
Step-by-step explanation:
Answer:
The Bureau of the Census defines urban as comprising all territory, popu- lation, and housing units located in urbanized areas and in places of 2,500 or more inhabitants outside of UAs. The term urban refers to both kinds of geographic entities.
Step-by-step explanation:
What is 14 times 10 to the power of -7 in scientific notation
Answer:
Step-by-step explanation:
work backwards to find the factors from the roots then multiply the factors together. y= x² - 24x + 140
The 6th number in the series 2, 4, 6, 8, 10, ... is
Answer:
the answer is 12! good luck!:)
Answer:The answer is (b) 12
Step-by-step explanation:
Hi, this is basically a simple addition series, and each number increases by 2. The First number is 2 Second number = 2 + 2 =4 Third number = 4 + 2 = 6 Fourth number = 6 + 2 = 8 Fifth number = 8 + 2 = 10 and Sixth number = 10 + 2 = 12 .
Hope this helps!
The cost of 3 pencils and 2 markers is $1.30.
The cost of 2 pencils and 3 markers is $1.20.
What is the total cost of 7 pencils and 7 markers?
Answer:
$3.50
Step-by-step explanation:
Given that the cost of 3 pencils and 2 markers is $1.30. Let the cost of a pencil be $p and that of a marker be $m then
3p + 2m = 1.30
Also, the cost of 2 pencils and 3 markers is $1.20 will result
2p + 3m = 1.20
Solve both simultaneously
3p + 2m = 1.30
2p + 3m = 1.20
multiply the first by 2 and the second by 3
6p + 4m = 2.60
6p + 9m = 3.60
subtract the second from the first
4m - 9m = 2.60 - 3.60
-5m = -1
Divide both sides by -5
m = 0.20
substitute into equation 1
3p + 2(0.2) = 1.30
3p + 0.4 = 1.30
3p = 1.30 - 0.40
3p = 0.90
Divide both sides by 3
p = 0.30
The total cost of 7 pencils and 7 markers
= 0.30 * 7 + 0.20 * 7
= 2.10 + 1.40
= $3.50
find the sum f(x)=׳/3+ײ/2+× and g(×)=׳/2+ײ/3+×/4
Answer:
(fog) (x) = 2(3x + 2) - 1 = 6x + 4 - 1 = 6x + 3 = 3(2x + 1)
Step-by-step explanation:
If f(x) = 2x - 1 and g(x) =3x + 2then find (fog) (x)
Help me plsss tysmmmmm
i really really need the answer plz help this is the fourth time im asking this question plz help.
Answer:
5g-4/4your answer right answer
Step-by-step explanation:
we have to find value of g ????
Identify the pair of angles as complementary, supplementary, or neither.
PLEASE HELP
Answer:
supplementary
Step-by-step explanation:
135 + 45 = 180
supplementary angle ALWAYS add up to 180.
Today is the birthday of Rahul and he is 3 times
as old as Nirmala. In 13 years, Rahul will be one
year less than twice as old as Nirmala will be
then. The age of Rahul today is:
a. 30 years
c. 49 years
b. 36 years
d. 30 years
Answer:
b. 36 years
Step-by-step explanation:
Today
Nirmala = x years
Rahul = 3x years
In 13 years
Nirmala = 3x + 13 years
Rahul = 2(x+13) - 1
3x + 13 = 2(x+13) - 1
3x + 13 = 2x + 26 - 1
3x + 13 = 2x + 25
3x - 2x = 25 - 13
x = 12
Nirmala = x years
= 12 years
Rahul = 3x years
= 3(12)
= 36 years
The age of Rahul today is 36 years
Can someone hurry please tell me the answer I will mark brainless
Answer:
C) z = 1/2
Step-by-step explanation:
4z + 5 = 7
4z = 2
z = 1/2
find the volume of the cylinder pictured below use 3.14 for pi give your answer rounded to the nearest tenth height 21ft diameter 10ft
Given:
Height of the cylinder = 21 ft
Dimeter of the cylinder = 10 ft
To find:
The volume of the cylinder.
Solution:
We have,
Dimeter of the cylinder = 10 ft
So, radius is half of diameter, i.e., 5 ft.
Volume of the cylinder is
[tex]V=\pi r^2h[/tex]
Where, r is the radius and h is the height.
Putting [tex]\pi=3.14[/tex], r=5 and h=21, we get
[tex]V=(3.14)(5)^2(21)[/tex]
[tex]V=(3.14)(25)(21)[/tex]
[tex]V=1648.5[/tex]
Therefore, the volume of the cylinder is 1648.5 cubic ft.
72
-) A 5-kilogram (kg) bag of rice is $9 and the 2-kg bag is $4.50. Calculate the unit price of each bag of rice.
Show the steps you used:
a) The large (5-kg) bag is $.
/per kg.
/per kg and the small (2-kg) bag is $
b) How much will you save per kilogram if you buy the larger bag of rice? $_
/per kg
opted from
Answer:
$1.8
$2.25
$0.45
Step-by-step explanation:
a)
Unit Price = Cost/Volume
= 9/5
= $1.8/Kg for the 5Kg
4.5/2
= $2.25/Kg for the 2Kg
b)
($2.25-$1.8) per kg
= $0.45
Find the slope (y=mx+b)
Answer:
y=7.5x+0 you don't have a b value because your rate starts at 0.
