Answers
Answer:
a) interior angle: 156°
b) exterior angle: 24°
Step-by-step explanation:
b)The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...
360°/15 = 24°
__
a)The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...
180° -24° = 156°
_____
Additional comment
We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.
Related Questions
A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.
Required:
a. Draw a right triangle that gives a visual representation of the problem. Show the known quantities and use a variable to indicate the height of the streetlight.
b. What is the height of the streetlight?
Answers
Answer:
Step-by-step explanation:
Which function is graphed below?
Answers
The first option. Hope this helped!
Which grade should I work on first, the highest grade or the lowest grade?
Answers
Answer:
lowest but make sure to keep the highest in your mind and keep working. you've got this! :)
Answer:
the lowest grade. But also stay on top of ur assignments on the subject u have the lowest grade on because u will fall back behind. this also goes for ur other higher grades. try to spend one hour in each assignments that is past due.
Kross bought 3 cans of paint. The total was less than $60. How much was each can?
inequalities btw!!
Answers
Because we know they bought 3 can and the problem states it is LESS than $60.
Step-by-step explanation:
two equations if you want an inequality
y = -3x + 60
3x <= 60
graph it and you get x = 20 which is your answer
Express in the form n:1
12:2
Answers
Answer:
6:1
Step-by-step explanation:
The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .
Are these ratios equivalent?
825 trees : 660 bushes
929 trees : 809 bushes
yes
no
Answers
Answer:
NO
Step-by-step explanation:
Bethany has $20 to take some friends and herself to the movies A movie ticket costs $7.75. Write an inequality to help Bethany determine how many people can go to the movies with the $20.
Answers
Answer:
Only 2 people would be able to go and she would have $5.50 to spend on snacks.
Answer:
2 friends
Step-by-step explanation:
20< 7.75(x) you have to have a less number than the total
What expressions are equivalent to -6+4q+(-6q)
Answers
Simplified answer:
-6 - 2q
Step-by-step explanation:
-6 + 4q + (-6q)
=> -6 + 4q - 6q
=> -6 + (-2q)
=> -6 - 2q
I think this is the expression. Try to simplify your options and see if one of them equal to -6 - 2q. Hoped this helped.
PLEASE HELP ME ILL
MARK BRAINLIEST
Answers
Answer:
yeah
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answers
Answer:
y - 3 = -12(x - 5)
Step-by-step explanation:
This is what point slope form looks like:
y - y1 = m(x - x1)
(5, 3) is our known point, represented as (x1, y1).
Now, just plug in the given slope and point into the equation:
y - 3 = -12(x - 5)
Find the area of the yellow region.
Round to the nearest tenth.
Answers
Answer:
13.7 cm square
Step-by-step explanation:
Here we see that the square has an area of 8x8= 64 centimeters square. We want to subtract the area of the white part from 64 to find the area of the yellow region. If we were to put the white parts together it would create a circle, so we need to find the area of the circle and then subtract it from 64. The circle would have a radius of one half the length of the square, which would be 4 cm. Area equals pi times radius squared so the area would be 50.27 cm square. 64-50.27= 13.7 cm square
pls help me
look at the picture
Answers
Answer:
third option is correct
[tex] \text{Given : Which expression is equivalent to} \: \frak{( {8}^{2})^{ - 4}} \\ \\ \odot \quad\frak{ \frac{1}{ {8}^{2}}} \\ \\ \odot \quad\frak{ \frac{ - 1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot\quad\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot \quad \frak{ {8}^{2} }[/tex]
[tex] \text{Solution : For getting the answer we need to first simplify it } \\ \quad \dashrightarrow \frak{ ({8}^{2}) ^{ - 4} } \\ \\ \quad \dashrightarrow \frak{{8}^{2( - 4)} } \\ \\ \quad \dashrightarrow \frak{ {8}^{( - 8)} } \\ \rm{now \: as \: the \: exponent \: is \: in \: negative \: so \: we \: need \: to \: bring \: 8 \: down \: in \:} \\ \rm{ form \: of \: denominator} \\ \\ \rm{so \: we \: get \: as} : \\ \\ \quad\hookrightarrow \frak{ \frac{1}{ {8}^{8}}} \\ \rm{as \: the \: exponent \: is \: 8 \: so \: we \: get \: to \: know \: that \: 8 \: is \: multplied \: 8 \: times \: with \: 8.} \\ \quad\hookrightarrow\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \therefore \underline{ \boxed{ \sf{ \blue{option \: c} \: i.e.} \: \blue{\frak{\frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}}} \: is \: the \: \blue{correct \: answer}}}[/tex]
Write an equation representing how much Tristan paid.
After Gwen, Tristan, and Keith finish exercising, they go to the fair. At the fair, they each pay the entry fee and also buy tickets they can use for food or rides. Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30. Tristan pays the entry fee and buys 15 tickets. It costs him a total of $40. Keith pays the entry fee and buys 10 tickets. It costs him a total of $30. In this task, you will create a system of equations and find the cost of each ticket. Let x represent the entry fee and y represent the cost of each ticket in dollars.
Answers
Answer:
These are the equations
Step-by-step explanation:
Gwen's equation = x + 10y = 30
Tristan's equation= x + 15y = 40
Keith's equation = x + 10y = 30
Solve for X in the triangle round your answer to the nearest 10th
Answers
Step-by-step explanation:
remember : the sum of all angles in a triangle is always 180 degrees.
the law of sines :
a/sin(A) = b/sin(B) = c/sin(C) with the sides being opposite to the angles.
so,
the opposite angle of x is
180 - 90 - 44 = 46 degrees.
x/sin(46) = 6/sin(90) = 6
x = 6×sin(46) = 4.316038802...
rounded x = 4.3
The formula to find the volume of a sphere is = 4 3, where is the radius of the 3
sphere. What is the formula in terms of ?
Answers
Answer:
d.
took the test
Step-by-step explanation:
There are 30 puzzle books on a shelf. The number of puzzle books is 25 of all the books on the shelf.
What is the total number of books on the shelf?
Enter your answer in the box.
books
hurry ill give brainliest answer
Answers
The total number of books on the shelf is 12 books
Given the following parameters
Total number of puzzle books on the shelf = 30 books
If the number of puzzle books is 25 of all the books on the shelf, the total number of books on the shelf is expressed as:
= 2/5 of 30
= 2/5 * 30
= 2 * 6
= 12
Hence the total number of books on the shelf is 12 books
Learn more here: https://brainly.com/question/13885389
Answer:
75
Step-by-step explanation:
What is the measure of angle 1 in the diagram 42 30 1 2
Answers
Answer:
The answer is no doubt about it
it’s the middle number
GIVING BRAINLIEST!
A hot air balloon is tied to the end of a 60-m rope. When the balloon is at an altitude/vertical height of 50 m, what angle of elevation does the rope make with the ground? Round your final answer to the nearest tenth of a degree.
Answers
Answer:
83.333 degress
Also where i solved for side a is pointless i just realised :p
Step-by-step explanation:
okay Imma head into some trig stuff here so sorry.
the hypotenuse of the triangle would be 60m
the height is 50m
Using pythag theorem we can concur that a = 10.488
a = 10.488
b= 50m
c = 60m
now we just use sin (feta) = 50/60
sin(feta) = .8333
or 83.3 degress.
-Gage Millar, Algebra 1/2 tutor
10 points
A bank charges $27 every week. Which integer shows the amount
charged after 5 weeks?
Answers
Answer:
135
Step-by-step explanation:
27 x 5 =135
Please help meeeee please please c
Answers
Answer:
the item would cost $9000
Define power of 10 rule
Answers
Answer:
A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... Thus, shown in long form, a power of 10 is the number 1 followed by n zeros, where n is the exponent and is greater than 0; for example, 106 is written 1,000,000.
Step-by-step explanation:
Answer:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Step-by-step explanation:
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10s as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
Power of 10, in mathematics, any of the whole-valued (integer) exponents of the number 10. A power of 10 is as many number 10 sec as indicated by the exponent multiplied together. ... When n is less than 0, the power of 10 is the number 1 n places after the decimal point; for example, 10−2 is written 0.01.
PLEASE HELP ME NOW!!!!! ILL GIVE BRAINLIEST!!!
Answers
Answer:
its C. 17/10
Bcs 3/2
=1.5
And on the figure shown 1.5 comes in c
Mark me BRAINLIESTPLEASE HELP
Please factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3
Answers
Answer:
-3xy^3 (7xy^2z-4y-12)
Step-by-step explanation:
Simply factor out "-3xy^3." GL!
Answer:
so in both you can see that 7xy is common . Thus it is a common factor.Step-by-step explanation:
What is the dividend when the divisor is 8 and the quotient is 96 with a remainder of 3?
dividend:
Explain how you found the dividend.
Answers
Answer:
13
Step-by-step explanation:
13÷8=96r3 आओऋअःनबभसजहलव
The required dividend would be 765 when the divisor is 8 and the quotient is 96 with a remainder of 3.
What is the Quotient?A quotient is defined as the outcome of dividing an integer by any divisor that can be said to be a quotient. The dividend contains the divisor a specific number of times.
Let the required dividend would be x
The divisor is 8 and the quotient is 96 with a remainder of 3 which is given in the question
As per the given question, the solution would be as:
⇒ x ÷ 8 = 96 r3
⇒ x + 3 = 96 × 8
⇒ x + 3 = 768
⇒ x = 768 - 3
⇒ x = 765
Therefore, the required dividend would be 765.
Learn more about the quotient here:
brainly.com/question/27796160
#SPJ2
5.3.21
Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.
9
m= -4b=
Enter the equation of the line in slope-intercept form.
(Do not factor. Use integers or fractions for any numbers in the equation.)
Answers
Answer:
y = -4x + 9
Step-by-step explanation:
Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year. Part A How much interest will Bianca earn for a period of 3 years?
Answers
Answer:
$382.5
Step-by-step explanation:
First get the 4.25% of $3000. then multiply it by 3-representing 3 years.
hope it can help you lovelots
Hello! Please answer this ASAP. Thanks!
Answers
Answer:
x=3
Step-by-step explanation:
Twenty divided by four is five. You would divide fifteen by five to get three. so X=3.
question below on photo pls quick
Answers
I hope youre asking for the y=mx+b kind of equation… if so its y=2x-1
4. A publisher wants to figure out how thick their new book will be. The book has a front
cover and a back cover, each of which have a thickness of of an inch. They have a
a
choice of which type of paper to print the book on.
a. Bond paper has a thickness of inch per one hundred pages. Write an equation for
the width of the book, y, if it has x hundred pages, printed on bond paper.
b. Ledger paper has a thickness of į inch per one hundred pages. Write an equation
for the width of the book, y, if it has x hundred pages, printed on ledger paper.
C. If they instead chose front and back covers of thickness of an inch, how would
this change the equations in the previous two parts?
Answers
Answer:
1in x 2 + 1 in =3in
2 times 1 is 2 + 1 equals 3
There are 8 math classes in 7th grade. Seven are equally sized and the 8th class has 32 students. If there are a total of 221 in the 7th grade, how many are in each of the equally sized bath class?
Answers
Answer:
27
Step-by-step explanation:
221-32=189189/7=27