A regular polygon has an interior angle of 171 degrees. Show your work. (3 points for work, 3 points
for correct answers)
a) How many sides does it have?
b) What is the sum of the interior angles?
c) What is the measure of one of its exterior angles?
Answer:
a) 40 sides
b) 6840
c) 9 gegrees
Step-by-step explanation:
interior angle= (n-2)180
n
[tex] (n - 2)180 \div n = 171 \\ 180n - 360 = 171n \\ 180n - 171n = 360 \\ 9n = 360 \\ n = 360 \div 9 = 40 \\ [/tex]
so total number of sides is 40
b) Sum of interior angles= (n-2)×180
(40-2)×180
38×180
6840
c) Exterior angle = 360 ÷ n
360÷40 =9 degree
Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?
Answer:
b = $5
s = $6
Step-by-step explanation:
this can be solved using simultaneous equation
s = streamers
b = balloons
either of the 3 equations can be used to determine the price of the items
11b + 6s = 91 equation 1
15b + 4s = 99 equation 2
multiply equation 1 by 4 and equation 2 by 6
44b + 24s = 364 eqn 3
90b + 24s = 594 eqn 4
subtract equation 3 from 4
230 = 46b
b = 5
substitute for b in eqn 1
55 + 6s = 91
s = 6
find the area of a trapezoid
Answer:
the right answer is
270 squared unit
HELP PLS
The figure below has a point marked with a large dot.
First, translate the figure 8 units to the left.
Then, give the coordinates of the marked point in the original figure and the final figure.
Answer:
(1, -7) .................
Shape A can be transformed to shape B by a reflection in the x-axis followed by a translation (c/d). Find the value of c and the value of d
Answer:
[tex]c = -6[/tex]
[tex]d = -1[/tex]
Step-by-step explanation:
Given
See attachment for grid
Required
Find c and d
From the attachment, we have:
[tex]a = (3,5)[/tex] --- Point on A
[tex]a' = (-3,-6)[/tex] --- Corresponding point on B
When A is reflected across the x-axis, the rule is:
[tex](x,y) \to (x,-y)[/tex]
So, we have:
[tex](3,5) \to (3,-5)[/tex]
Next, is to calculate the translation from [tex](3,-5)[/tex] to [tex](-3,-6)[/tex]
This is calculated using:
[tex]3 + c = -3[/tex]
and
[tex]-5 + d = -6[/tex]
So, we have:
[tex]3 + c = -3[/tex]
[tex]c = -3-3[/tex]
---- i.e. Shift by 6 units to the left
[tex]-5 + d = -6[/tex]
[tex]d = 5 - 6[/tex]
[tex]d = -1[/tex] --- i.e. Shift by 1 unit down
Natasha walked from the library to the grocery store then to her house. The diagram shows the top of the locations of these three places and their distances from each other.
Which measurement is closest distance in miles from Natasha’s house to the library?
A. 2.6 mi
B. 1.9 mi
C. 1.4 mi
D. 2.3 mi
PLEASE HELP!!!!
90 POINTS The difference of sample means of two populations is 55.4, and the standard deviation of the difference of sample means is 28.1. Which
statement is true if we are testing the null hypothesis at the 95% confidence level?
OA. The difference of the two means is significant, so the null hypothesis must be rejected.
OB The difference of the two means is significant, so the null hypothesis must be accepted.
Ос. The difference of the two means is not significant, so the null hypothesis must be rejected.
OD. The difference of the two means is not significant, so the null hypothesis must be accepted.
Answer:
answer is D
The difference of the two means is not significant, so the null hypothesis must be accepted.
PLS HELP and explain how pls
Answer:
31 r 3
i know
Answer:
Step-by-step explanation:
940 divided by 30
try to fit 30 into 94 as many times possible
30*3 =90 , 94 -90 =4
3 goes on top
4 on the bottom and is join by 0 that you bring down to make 40
try to fit 30 into 40
30*1=30, 40 -30 =10
940/30 = 31 remainder 10
What value(s) can x have if |x| = 94?
Answer:
absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x if x is positive, and |x| = −x if x is negative (in which case −x is positive), and |0| = 0.
Step-by-step explanation:
Answer:
x=94 or -94
Step-by-step explanation:
x=94 or -94
What kind of triangle is this?
Answer:
answer: obtuse
Step-by-step explanation:
Hope that helps!
15. A door wedge is shaped like a triangular prism. The wedge is filled with sand. How
many cubic centimeters of sand is needed to fill the door wedge?
Answer:362
Step-by-step explanation:
You need to multiply
Answer:
126
Step-by-step explanation:
you add them all up and the sides that don't have the number there's already info about it it's like this
18 x 3 + 30 + 24 + 18 = 126
and you don't know how to do 18 x 3 lol it's 54
If sin 0 = 1/2, find the degree measure of 0.
Answer:
30°
Step-by-step explanation:
[tex] \sin \theta = \frac{1}{2} \\ \\ \sin \theta = \sin 30\degree \\ \\ \theta = 30 \degree[/tex]
What is the slope of the line
Answer:
0
Step-by-step explanation:
Line is parallel to the x-axis,
Therefore slope = 0
(Any line which is parallel to the x-axis has zero slope)
a/7 =9
a=?
What does a=?
Answer:
a = 63
Step-by-step explanation:
Let's double check,
63 ÷ 7 = 9
---------
I got the answer by multiplying the 9 and the 7, making it 63.
---------
Have a good day :)
Answer:
A is equal to 63
Step-by-step explanation:
How you ask? multiply 7 on both sides. 9×7 is 63
Will mark brainliest please help ASAP ASAP A bag contains 10 marbles.Four of them are red, three blue two white, and one yellow. A marble is drawn at random. what is the probability that it is red? Make sure you reduce your answer.
Answer: 2/5 or 40%
Step-by-step explanation:
10 total
4 red
4/10 are red
as a reduced fraction: 2/5
as a percent: 40%
Answer:
40%
Step-by-step explanation:
4/10 marbles are red therefore there is a 40 % chance you get a red marble
4/10 = .4
.4 x 100% = 40 %
Can someone pleaseeee help and if you’re correct i’ll give brainliest
Answer:
I think it's d sorry if wrong
Answer:
2 lb 1 oz
Step-by-step explanation:
There are 16 ounces in one pound, and since one candy bar weighs 3 ounces 3 x 11 = 33. 33 Ounces is equal to option D :)
Preciso de ajudar nessa questão que segue em anexo.
Answer: $85
Step-by-step explanation:
Não falo português mas tentarei ajudar.
Multiplique 6 2/3 e 3 1/7.
6 2/3 x 3 1/7 = 20 20/21
Dividir 20 20/21 e 5.
20 20/21 / 5 = 4 4/21.
Precisa de cinco latas de tinta.
5 x $17 = $85
Please look at the picture!
Answer:
Answer= A- 7%
Step-by-step explanation:
42/100= 42%
35/100= 35%
42%-35%= 7%
You owe $1,350.00 on a credit card with a 14.25% APR. You pay $300.00 at the beginning of
the month How much interest do you save by paying at the beginning of the month versus
at the end of the month?
A bag contains three red marbles, four blue, nine yellow, and five green. what is the probability of getting a yellow or green
Answer:
14/21 or 2/3
Step-by-step explanation:
66 percent
Answer:
Step-by-step explanation:
Katniss is a good hunter, gatherer, and caretaker.
Simple or Compound? And why...
Answer:
It is compound because it is explaining
Step-by-step explanation:
Answer:
Simple, It's As Simple As Possible
Helpppppppppp meeeeeeeeeee
Answer:
D
Step-by-step explanation:
PLEASE HELP!! what is the area of the regular polygon
Question:
What is the area of the regular polygon
Answer:
72Step-by-step explanation:
Since the radius is 6 the Length/Width should also be 6 so the polygon has 6 sides so 6/3 = 2 x 6 = 12 x 6 = 72
72 is your answer
Find the first three iterates of the function f(z) = 2z + (3 - 2i) with an initial value of zo = 5i.
a. 3+8i, 9 - 14i, 21 - 26i
c. 3+ 8i, 9 + 14i, 21 + 26i
b. 3+ 8i, 11 - 16i, 23 - 28i
d. 3 + 8i, 11 + 16i, 23 + 28i
Answer:
C
Step-by-step explanation:
Saw it on a quizlet
PLEASE HELP ME WITH THIS THANK YOU!!!! 12 points!!
Answer:
D
Step-by-step explanation:
a quadratic function has been translated 5 units up and 7 units left and it is vertically stretched by a factor of 2
Answer:
[tex]2( {x + 7})^{2} + 5[/tex]
Step-by-step explanation:
Our Standard form for each of these transformations is
[tex]a( {x + h)}^{2} + k[/tex]
Insert each value into the appropriate.
K is for vertical movement
h is for horizontal
a is for stretching/compression
What number do I use for pi
3.14. so yeahhhhhhhhhhhhhhhhh
The vertices of triangle PQR are given in the standard (x,y) coordinate plane below. What is the area, in the square coordinate units, of triangle PQR?
Answer:
Area = 12
Step-by-step explanation:
Given
See attachment
Required
Area of [tex]\triangle PQR[/tex]
From the attached image, we have:
[tex]P = (6,10)[/tex]
[tex]Q = (10,8)[/tex]
[tex]R = (6,4)[/tex]
The area is then calculated as:
[tex]A = \frac{1}{2}|(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y1 - x1y3)|[/tex]
So, we have:
[tex]A = \frac{1}{2}|(6*8 - 10*10) + (10*4 - 6*8) + (6*10 - 6*4)|[/tex]
Using a calculator:
[tex]A = \frac{1}{2}|-24|[/tex]
Remove absolute bracket
[tex]A = \frac{1}{2} * 24[/tex]
[tex]A = 12[/tex]
X+4-1=3 x=
Please help me!
Answer:
x=0
Step-by-step explanation:
add 4 to -1 that gives you 3 and then slide 3 to the other side which gives you 3-3 and that equals 0.
find the surface area
Answer:
aww you had my question opennnn
Step-by-step explanation: