Answer:
First polygon has 16 sides
Second polygon has 24 sides
Step-by-step explanation:
Let the number of sides for first polygon be a and that for the second polygon be b
formula for sum of interior angle is;
180n-360
So for individual interior angle we have;
(180n-360)/n
So for polygon A
(180a-360)/a
For polygon B
(180b-360)/b
Let’s divide both to equate to the ratio
(180a-360/a)/(180b-360)/b) = 21/22
Factor out 180
(a-2)/a * b/b-2 = 21/22
b(a-2)/a(b-2) = 21/22
22b(a-2) = 21a(b-2) •••••• (i)
For the second part
Sum of exterior angle of any polygon is 360
Individual exterior angle is 360/n
for the first polygon;
360/a ;
For the second 360/b
Thus;
b/a = 3/2
2b = 3a ••••••••(ii)
b = 3a/2
11(2b)(a-2) = 21a(b-2)
11(3a)(a-2) = 21a( 3a/2-2)
33a(a-2) = 21a(3a-4)/2
22a(a-2) = 7a(3a-4)
22a^2 - 44a= 21a^2-28a
22a^2-21a^2+28a - 44a = 0
a^2 + 28a - 44a = 0
a^2 -16a = 0
a(a-16) = 0
a = 0 (which cannot be)
or a-16 = 0
a = 16
Recall;
b = 3a/2
b = 3(16)/2
b = 24
A function represented by the equation y=1/3x + 4 is a graph on a coordinate plane. What will happen to the line if the slope is changed to 2/3?
Answer:
Graph of the new function will be vertically stretched by 2 units.
Step-by-step explanation:
A linear function is represented by the equation, y = [tex]\frac{1}{3}x+ 4[/tex]
This function has the slope = [tex]\frac{1}{3}[/tex] and y-intercept = 4
If this function is stretched vertically by 'k' the the equation of the new function will be,
y = [tex]a(\frac{1}{3})x+ 4[/tex]
y = [tex]\frac{a}{3}x+4[/tex] ---------(1)
If the slope of this equation is changed to [tex]\frac{2}{3}[/tex],
New equation of the function will be,
y = [tex]\frac{2}{3}x+4[/tex] ---------(2)
Comparing equations (1) and (2),
a = 2
Therefore, graph of the new function will be stretched vertically by 2 units.
Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.
The expression (3 p minus 7)(2 p squared minus 3 p minus 4) is shown above a table with 3 columns and 2 rows. First column is labeled 2 p squared, second column is labeled negative 3 p, the third column is labeled negative 4. First row is labeled 3 p with entries 6 p cubed, negative 9 p squared, negative 12 p. Second row is labeled negative 7 with entries negative 14 p squared, 21 p, 28.
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
Which is the product?
6p3 + 23p2 + 9p + 28
6p3 – 23p2 – 9p + 28
6p3 – 23p2 + 9p + 28
6p3 + 23p2 – 9p + 28
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer: Answer Is C
Step-by-step explanation: Did the Quiz test thing
Answer:
C. 6p3 – 23p2 + 9p + 28
Step-by-step explanation:
edge
Please help I’m confused also if you can’t see it just click on the picture.
Find the slope: change in y over change in x:
Slope = 30 - -5/ 6- -1 = 35/7 = 5
Find y intercept (the y value when x is 0)
Y = 5(0) = 0
There is no y intercept
The function rule would be:
Y = 5x
Please Help Me
Find the premiter of the semi circle l. Round to the nearest hundredth ( use Pi key)
Answer:
circumference of a circle = πd
π12 = 37.6991118
37.6991118/2 = 18.8495559
18.8495559 + 12 = 30.8495559
perimeter = 30.85
Determine whether the function is linear or nonlinear. Explain
helppppppppp
Answer:
A linear function follows a constant rate of change Here we see x moves by 4 units and that y decreases by 4 units then suddenly changes to 6 units hence 13 Is Not A functionFor 12, it is a function because it follows a consistent rate of change which is x or one unit of change.Answer:
12) The function is linear.
13) This function is not linear.
Step-by-step explanation:
13) A linear functions equation must be in y = mx + b form
When you graph the table there is no y = mx + b equation that makes a line that passes through all the points.
Subject:Mathematics
Does this table represent a proportional relationship?
A) Yes
B) No
What is 352 beats in 4 2/5 minutes please help and tell me step by step please
Answer:
352/4.4 =80
Got it?
Please give me Brainly
PLEASE ASAP
What is the equation of the line passes through the point (-6, 6) and is parallel to the y=2/3x-1?
Answer:
y=2/3 x+10
Evidence:
Picture
Hope it helped!
what is the speed of a bowling ball that travels 100 meters in 5 seconds
what is ratio of the area of the larger pizza to the area of the smalles pizza ? 12 in to 18 in pizzas ?
Answer:
18/12= 1.5
Step-by-step explanation:
divide the larger inch by the smaller one so we get a ratio of 18:12
or 1.5:1
where the bigger one is 1.5 times larger for every inch of smaller pie
Round your answer to the nearest tenth.
Answer:
The value of MB = 8.4
Step-by-step explanation:
We know that the point of intersection of the Medians of a triangle is called the centroid of a triangle.
Thus,
For the given triangle ΔJKL,
The point M is the centroid of the triangle.We also know that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side.
Also, each Median is split into two parts such that the longer part is 2 times the length of the smaller part.
In our case,
The median KB is split into two parts such that the longer part KM is 2 times the length of the smaller part MB.
i.e.
KM = 2 MB
Given KM = 16.8
so substitute KM = 16.8 in the equation KM = 2 MB
16.8 = 2 MB
MB = 16.8/2
MB = 8.4
Therefore, the value of MB = 8.4
or false if that was worried and simplify to say it was a slave through his own curiosity and I was worried because of the fact I have had been working in my last three months but the following x are the
what does m2+ m3= ???????????
Answer:
M2+m3=90
Step-by-step explanation:
Angle 1 already is equal to 90. A triangle can only go up to 180 wo the other two angles have to add up to 90.
Sadie's sweets is having a sale on all their baked goods they are regularly priced at $4 but they are marked down to $2.6 what percent off are they
Answer:
35% off
Step-by-step explanation:
= |4 - 2.6|/((4 + 2.6)/2) = 1.4/3.3 = 0.42424242424242 = 42.424242424242%
Percentage of decrease = |4 - 2.6|/4 = 1.4/4 = 0.35 = 35%
2.6 is a 35% decrease of 4.
Given f(x) = - 2x + 5 and g(n) = 3n - 2, evaluate one of the functions with the indicated value f(-3) and explain your answer
[A] f(-3) = -1
[B] g(-3) = - 11
[C] f(-3) = 11
[D] g(-3) =7
Answer:
[C] f(-3) = 11
Step-by-step explanation:
f(x) = - 2x + 5f(-3) = - 2(-3) + 5f(-3) = -(-6) + 5f(-3) = 6 + 5 =11can someone help pleaseee its due soon
Answer:
10
Step-by-step explanation:
The Video Rental Club charges a $5 monthly fee and $2.00 charge for each
video rental. The total cost for monthly video rentals depends on how many
movies a member rents. The table below represents the total cost of video
rentals per month.
videos (V)
0
1
2
3
4
monthly cost (c)
$5
$7
$9
$11
$13
Which equation represents the relationship between the cost, c, and the
number of videos, V?
C. c = 2V + 5
D. c = 5v + 2
A. c = 2v
B. C = 5v + 5
Answer:
C=2v+5
Step-by-step explanation:
C=2v+5
I got this because its 2 dollars PER video plus 5 a month
Step by step explanation
Answer: x = 4
Step-by-step explanation:
x/2=10/5
Multiply both sides of the equation by 2.
2⋅ x/2 = 10 /5 ⋅ 2
Simplify both sides of the equation.
Cancel the common factor of 2.
Rewrite the expression.
x= 2 ⋅ 10/5
Divide 10 by 5.
x= 2 ⋅ 10/5
Multiply 2 by 2.
x = 2 ⋅ 2
x = 4
please give brainiest :)
click to see the problem
Answer:
C is your correct answer i think
Step-by-step explanation:
how is 1/5 changed to a decimal
Answer:
just divide 1/5 by 100 and you should get it
Step-by-step explanation:
Help plz i hate this but everytime I do this I get it worng
Answer:
The answer is 19.25
Step-by-step explanation:
Key skills needed: Fraction operations, decimal conversion
1) We are given the hint to use 9 as "b", and we get:
---> [tex]a = \frac{16}{8}(9) + \frac{10}{8}[/tex]
Let's do [tex]\frac{16}{8}(9)[/tex]
--> [tex]\frac{16}{8}[/tex] is the same as [tex]16[/tex] ÷ [tex]8[/tex]
16 divide by 8 is 2.
2) This means that it would be ---> [tex]2(9)[/tex] which is simply 2 times 9.
2 times 9 = 9 + 9 = 18
3) With that result, it would be ---> [tex]a = 18 + \frac{10}{8}[/tex]
Now, do [tex]\frac{10}{8}[/tex] (10 divided by 8) ---> Get 1.25
4) 18 + 1.25 = 19.25, so --> [tex]a = 19.25[/tex] is the answer
Hope you understood and have a nice day!! :D
I need 6x-8=5x+4 solved
Answer:
Step-by-step explanation:
Here you go mate
Step 1
6x-8=5x+4 Equation/Question
Step 2
6x-8=5x+4 simplify
6x-8=5x+4
Step 3
6x-8=5x+4 Subtract
x-8=4
Step 4
x-8=4 Add 8
answer
x=12
Hope this helps
Answer:
The answer is x = 12
Step-by-step explanation:
So, first you're going to add 8 on both sides
6x - 8 +8 = 5x + 4 + 8
Then simplify
6x = 5x + 12
Then subtract 5x from both sides
6x - 5x = 5x + 12 - 5x
Then simplify again and you get
x = 12
Hope this helped!
PLEASE HELP MEEEEEEE
(a) The diagram shows a circle, centre 0. AB and CD are chord.
Given that OM = 8 cm, NT = 3 cm, AB = 30 cm.
(1) Calculate the radius
(2) Calculate the length of CD
Answer:
1) Radius = 17 cm
2). CD = 19.3 cm
Step-by-step explanation:
1). O is the center of the given circle.
By joining the center and point A located at the circumference of the circle,
OA = radius of the circle.
Length of chord AB = 30 cm
"Line from the center of a circle to the chord inside the circle is a perpendicular bisector of the chord"
By the given property, OM equally divides the chord AB.
AM = MB
AM = [tex]\frac{1}{2}(AB)[/tex]
AM = [tex]\frac{10}{2}[/tex] = 5 cm
By applying Pythagoras theorem in ΔOAM,
AO² = OM² + AM²
AO² = 8² + 15²
AO = √289
AO = 17 cm
Therefore, radius of the circle = 17 cm
2). Since, OT, OC and OA are the radii of the given circle,
OT = OC = OA = 17 cm
ON = OT - NT
= 17 - 3
= 14 cm
By applying Pythagoras theorem in ΔOCM,
OC² = ON² + CN²
17² = 14² + CN²
CN = [tex]\sqrt{(17^2-14^2)}[/tex]
= [tex]\sqrt{93}[/tex]
= 9.64 cm
Since, CD = 2(CN)
CD = 2 × 9.64
= 19.29 cm
≈ 19.3 cm
Someone help 100 points and marking brainliest
Answer:
ehh....130 is your answer alr bye
the answer to your question is 130
12. Why is the Yellow River also known as "China's Sorrow?"
A. There have been many devastating floods on its banks.
B. Many ancient Chinese were killed by the Mongols there.
C. Many ancient Chinese were killed in a major battle there.
1. D. Many people drowned in the river.
Answer:
A
Step-by-step explanation:
;)
Hey can yall help me with this question thank you
Step-by-step explanation:
a. 2x+5
b. 3x+5
c. 5x+4
i hope it will help you
CL 3-115. Jermaine has a triangle with sides 8, 14, and 20. Sadio and Aisha both think that they have triangles that are similar to Jermaine's triangle. The sides of Sadie's
triangle are 2, 3.5, and 5. The sides of Aisha's triangle are 4, 10, and 16. Decide who, if anyone, has a triangle similar to Jermaine's triangle. Be sure to explain how
you know
pening
1
CL 3-116. For the points R(-2, 7) and P(2,1) determine each of the following:
9514 1404 393
Answer:
Jermaine and Sadie have similar triangles. Aisha's is not similar.
Step-by-step explanation:
The side lengths can be arranged smallest-to-largest and reduced to mutually-prime integers. If the triangles are similar, their side ratios will be the same.
Jermaine's triangle has side ratios ...
8 : 14 : 20 = 4 : 7 : 10
Sadie's triangle has side ratios ...
2 : 3.5 : 5 = 4 : 7 : 10 . . . . (same as Jermaine's)
Aisha's triangle has side ratios ...
4 : 10 : 16 = 2 : 5 : 8 . . . . . (different from Jermaine's)
Sadie and Jermaine have similar triangles.
Lisa says the factors of 18 are 1, 2, 3, 6, and 9. Is Lisa correct?
A.
Yes, she is correct.
B.
No, Lisa forgot the factor 4.
C.
No, Lisa forgot the factor 8.
D.
No, Lisa forgot the factor 18.
Answer:
I think the Answer is ( B. No Lisa forgot the factor 4.)
Step-by-step explanation:
What expression -5+(-5r)+10