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
1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
1a
First solve for x.
Enter your next step here
Skip step
Atilla Tektas - Unit...pdf
Answer:
2x + 7= 4x + 17
7=2x+17
-10=2x
-10/2=2x/2
x=−5
Help !!!
See question in image.
Please show workings .
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) from first principles is
f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator
= lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero
f'(x) = 9x²
The following points are dilated at a center at point C by each of the following scale factors.
Plot and label the image points.
(a) A is dilated by a scale factor of 3.
(b) B is dilated by a scale factor of 2.
(b)D is dilated by a scale factor of 1 1/3
(d) E is dilated by a scale factor of 0.5.
Answer:
(a) A is dilated by a scale factor of 3.
Step-by-step explanation:
where the imagine
Find the value of 42 + 6 ÷ 2
Answer:
The answer isn't 24 the actual answer is 54.
Step-by-step explanation:
PEMDAS!
Just a fun game....
1. Pick a number 1-10
2. Now add 5
3. And then add 2
4. Subtract with the number you started with
5. Your answer is 7.
If it isn’t 7, put what number you picked to start with and the number you ended with.... copy and paste this on your page for others to have fun and do it too! Don’t leave out anything... Good luck
Step-by-step explanation:
omg it actually got seven lol
????????????????????
Answer:
180 - y
Step-by-step explanation:
The exterior angle is equal to 180 minus the interior angle.
Answer:
The total angle a triangle have is 180
so now subtract it by 50
180-50 = 130
and the other angle we get is by subtracting 180-92 which is 88
y=88 degree
now x=180-(88+50)
=42
so x=42
G G 2x+4y=12
Please explain it to me
Answer:
2×4=8 + 4 = 12 y stands firm you do the y part 2 times
please help with 11 & 12
x=12
y=8
z=3
Answer:
11. 24
12. 253
hope it's helpful ❤❤❤❤
THANK YOU
What is the sum or difference of 10 + (-11) + 5 + (-5)?
Answer:
-1 is the answer
Step-by-step explanation:
Answer: -1
Step-by-step explanation:
10 + (-11) + 5 + (-5)
=10 - 11 + 5 - 5
=10 - 11
= -1
hope this help, if this don't forget to click the " thanks" button! :)
A. Subtraction
B. Qoutient
C. Scientific Notation
D. Quadratic Equation
Answer: D: Quadratic Equation.
Step-by-step explanation:
y = a*x^2 + b*x + c is a polynomial of degree = 2, this is also called a quadratic equation (because the largest exponent is 2)
Then the correct option is D: Quadratic Equation
The other options are used for:
A: Subtraction:
This is for the difference between two numbers, a subtraction is X - Y.
B: Quotient:
This is for a division between two numbers, the quotient between X and Y is:
X/Y.
C: Scientific Notation:
This is used to simplify the notation of numbers with a lot of digits. Instead of write numbers like:
13,000,000
We can just write this as:
1.3*10^7
can you find the coordinates for K’
pls thank you
Answer: (3, 7)
Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)
Have a nice day! :)
A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days
9514 1404 393
Answer:
60 inches
Step-by-step explanation:
The total amount of rain received was ...
(2 in/day)(3 day) = 6 in
The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...
(6 in rain) × (10 in snow)/(1 in rain) = 60 in snow
The city would have received 60 inches of snow.
The lengths of the side of a triangle are 14 inches, 10 inches , and 8 inches. If the length of the shortest side of a similar triangle if 4 inches, the length of the longest side of the similar triangle is
Answer:
The longest length of the similar triangle is 7 inches
Step-by-step explanation:
If two triangles are similar, the ratio of their sides are equal
We shall be working the shortest and longest side of both
What we have here will be that;
The shortest length/ the longest length ratio in both triangles will be the same
Let the longest side of the similar triangle be x
8/14 = 4/x
8x = 4 * 14
x = (4 * 14)/8
x = 7 inches
Please please help me!!!!
9514 1404 393
Answer:
yy+8y-2Step-by-step explanation:
We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...
volume = y(y² +6y -16)
Now, we're looking for factors of -16 that have a sum of +6.
-16 = (-1)(16 = (-2)(8) = (-4)(4)
The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...
volume = y(y -2)(y +8)
The possible dimensions are y-2, y, and y+8.
Please help!!!
Give an example of an equation that has the given number of solutions – must be different than the ones above.
Explain why that equation would have that many solutions and how to tell without solving it.
One Solution
No Solution
Infinite Solutions
Equation:
Explanation:
Answer:
32 Divided by 34?
Step-by-step explanation:
That good?
Need help ASAP, you will get BRAINLIST.
Find the measure of the indicated angle that makes line u and b parallel
Linear or nonlinear
Answer:
Linear
Step-by-step explanation:
Linear is a straight graph
Answer:
Linear
Step-by-step explanation:
The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.
➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.
Answer:
The height of parallelogram is 51.87 cm
Step-by-step explanation:
Let The height of a parallelogram = a cm
Then
The base of a parallelogram = 3a cm
So by the given condition
3a×a = 897
3a^2 = 897
a^2 = 897/3
a^2 = 299
a = 17.29
So the height of parallelogram = 3×17.29= 51.87 cm
plzzz guys help I'm so confused
At the beginning of a population study, a city had 320,000 people. Each year since, the population has grown by 4.8%. Let t be the number of years since start of the study. Let y be the city's population. Write an exponential function showing the relationship between y and t.
Answer:
y = 320,000 ( 1.048 ) ^x
x = number of years
(the ^ before the x symbolizes "to the power of," but I can't do that on my keyboard)
Step-by-step explanation:
formula i used:
A = amount that you start with
t = amount of years / time
%increase: you must convert your percent (4.8%) to a decimal (0.048)
A ( 1 + %increase ) ^t
Answer:
y = 320,000(1.048)^t
Step-by-step explanation:
4.8% = 0.048.
The population grows by 1.048 per year.
The required equation is:
y = 320,000(1.048)^t
pression
Evaluate the expression -0.4(3x - 2) + 2 + 4 for x=4
Answer:
2
Step-by-step explanation:
In this question, we will have to solve the expression with our given variable.
Plug in 4 to x and solve:
-0.4(3(4) - 2) + 2 + 4
-0.4(12 - 2) + 2 + 4
-0.4(10) + 2 + 4
Evaluate -0.4(10):
-4 + 2 + 4
-2 + 4
2
Your final answer would be 2.
HELPPP NEED THIS IN THE NEXT 10 MINSS!!!!
please help im so lost lol
Answer:
B, C, and E
Step-by-step explanation:
6(x+4)+35
B) 6x+ 6(4)+ 35 (They just distributed the 6 to the x but left the 4 undistributed)
C) 35+6(x+4) (If addition or subtraction, moving the numbers won't change the sum/difference)
E) 6(4+x)+35 (If addition or subtraction, moving the numbers won't change the sum/difference)
Answer:
I Honestly Dont Know Sorry haahahhahaha Go F ur self
Step-by-step explanation:
What is the probability of the complement of spinning an even number by using the spinner below?
A spinner is split into 8 equal parts labeled 1, 2, 3, 4, 1, 2, 3, 5.
StartFraction 3 over 8 EndFraction
One-half
StartFraction 5 over 8 EndFraction
StartFraction 7 over 8 EndFraction
Answer:
C
Step-by-step explanation:
2/7 (14 h + 7/2) - 3h = 9
PLEASE HELP ME.. I HAVE THIS DUE TODAY
Six rolls of fabric are used for making five dresses equally.
How much fabric is used for each dress?
Answer:
1.2 rolls
Step-by-step explanation:
6 rolls=5 dresses
1.2 rolls =1 dress
hope i helped:)
which of the following decimal could be filled in to the set 0.024 , 0.265 , 0.285 , 0.650
A. 0.750
B. 0.456
C. 0.450
D. O.550
What is the equation of the line that passes through the points 1/2/3 and (-1,-1
a.y=-6x+5
b.Y=5/6X-1/6
C.Y=2/3X+1/5
D.y=6/5x+1/5
Answer:
(1, 2/3) (-1, -1) are the points. use the slope formula to find the slope y2-y1/x2-x1
(-1 - 2/3) / (-1 -1) (answer both sides of the division side)
-5/3 / -2 (divide)
slope = 5/6 (the slope)
plug in values you know into point-slope form (y -y1) = m(x-x1)
y - (-1) = 5/6 (x - (-1) (i chose the easier point to plug in. two neg. make a pos. )
y +1 = 5/6 (x +1) (use the distributive property)
y +1 = 5/6x+5/6 (subtract 1 from both sides)
y = 5/6x - 1/6 or B (this is the equation)
Step-by-step explanation:
I hope this helped :))
Solve the following inequality:
2. 4x + 6 < 38
Answer- x<8
Solutions
Rearrange:
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
4*x+6-(38)<0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
4x - 32 = 4 • (x - 8)
Equation at the end of step
1
:
STEP
2
:
2.1 Divide both sides by 4
Solve Basic Inequality :
2.2 Add 8 to both sides
x < 8
Find the value of w°
Answer:
w = 59
Step-by-step explanation:
90 + 31 +w = 180
121 +w = 180
w = 180 - 121
w = 59
