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
someone please do this for me:(
Answer:
Step-by-step explanation:
2x⁵ + 3x²- 2 → Quintic trinomial
12x → Linear monomial
7x³ -1 → Cubic binomial
3 - 4x → Linear binomial
4x - 5x³ + 1 → Cubic trinomial
2x²(x³ - 1) = 2x⁵ - 2x² → Quintic binomial
x²(4x - 1 + x²) = 4x³ - x² + x⁴ → Quartic trinomial
(x - 2)(x + 3) = x² + x - 6 → Quadratic trinomial
(x² - 1)(x² + 1) = x⁴ - 1 → Quartic binomial
Graph the solutions of the linear inequality 3x + 3y > 6 .
Answer:
y > 2 − x
Step-by-step explanation:
Look at these two equations.
Is there an ordered pair that is a solution to BOTH of
these linear equations?
y=x+1
y=-x+ 5
Answer:
Yes,
Step-by-step explanation:
the solution to these equations can be the point of intersection, which in this case the point of intersection is (2,3)
WILL GIVE BRAINLIEST
A cylinder has a total area of 3.41946cm2 and a diameter of 0.66cm. What is its height?
pls help
An electronics store keeps track of the number of computers sold. Last month, 30% of the computers were notebooks. If the store sold 390 notebooks last month, what was the total number of computers sold in the same month?
1,300 computers
1,560 computers
975 computers
1,114 computers
Answer:
1,300 computers
Step-by-step explanation:
As, they are saying they sold 30% of the computers last month
And that 30% was 390
So, x = the total number of computers
30% of x = 390
30% = 30/100 and "of" represents multiplication
So 30/100 X x = 390
We will transpose everything
30x = 39000
x = 39000 ÷ 30 = 1,300
So 1,300 computers were sold
PLEASE HELP!!!!! 25 POINTS!!!!!!
Answer:
The values of x and y that make the quadrilateral is a parallelogram are x = 12 and y = 21
Step-by-step explanation:
In the parallelogram, every two opposite sides are equal in lengthsIn the given figure
If DEFG is a parallelogram, then DE = GF and DG = EF
∵ DE = GF
∵ DE = 6x - 12 and GF = 2x + 36
→ Equate them
∴ 6x - 12 = 2x + 36
→ Subtract 2x from both sides
∵ 6x - 2x - 12 = 2x - 2x + 36
∴ 4x - 12 = 36
→ Add 12 to both sides
∵ 4x - 12 + 12 = 36 + 12
∴ 4x = 48
→ Divide both sides by 4
∴ x = 12
∵ DG = EF
∵ DG = 6y - 42 and EF = 4y
→ Equate them
∴ 6y - 42 = 4y
→ Add 42 to both sides
∵ 6y - 42 + 42 = 4y + 42
∴ 6y = 4y + 42
→ Subtract 4y from both sides
∵ 6y - 4y = 4y - 4y + 42
∴ 2y = 42
→ Divide both sides by 2
∴ y = 21
∴ The values of x and y that make the quadrilateral is a parallelogram are
x = 12 and y = 21
2x + 7 =30, x = 3 true or false
Answer:
False
Step-by-step explanation:
2x+7=30
2x=23
X= 23/2 or 11.5
X does not equal 3, therefore the statement is false
Write the equation of a line parallel to the line y = 2x that passes through -2,-1
Answer:
y = 2x + 3
Step-by-step explanation:
A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.
Start with y = mx + b, and replace m with 2, y with -1 and x with -2:
-1 = 2(-2) + b, or
-1 = -4 + b.
Then b = 3, and the desired equation is y = 2x + 3
Translate the sentence into an equation.
Twice the difference of a number and 2 is 6.
Use the variable y for the unknown number.
Answer:
2(x-2)=6.
hope this helps
Luke goes to summer camp with $45 in spending money. The amount of money he has left after n days at camp is modeled by the recursive function f(n) = f(n-1)-7. Modify the explicit function, and simplify it to slope-intercept form.
Answer:
Please mark as Brainliest :)
Step-by-step explanation:
Answer:
Sample Answer
Step-by-step explanation:
If he starts at 1 and jumps 3 units to the right, then where is he on the number line? How far away from zero is he?
Answer:
He is on 4.
Step-by-step explanation:
What is the solution to the system of equations?
Use the linear combination method.
{2x−3y=93x+5y=4
Answer:
fffffffffffffffffffffffffffffffffffffffffff
Step-by-step explanation:
Answer:
(3,-1)
I took the test, it said it was right.
f(x) =-2 |x + 1|
how do I do this?
Answer:1
Step-by-step explanation: f(x)=-2 |x+1|
plug in the f(x) which is -2 into x to solve.
|-2+1|= |-1|= 1, it turns into positive 1.
Can you PLEASE help with this as SOON as you can. I will give BRAINLIEST!!!
Answer: 2(7c^2+y)
Step-by-step explanation:
Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 6 yd, 10 yd, and 8 yd
False, these measures do not form a right triangle.
True, these measures do form a right triangle.
Answer:
True, these measures do form a right triangle.
Step-by-step explanation:
Pythagorean Theorem: a^2 + b^2 = c^2
(6)^2 + (8)^2 = (10)^2
36 + 64 = 100
100 = 100
So, its true these measurements do form a right triangle.
Please help! Ralph buys a computer for $675. The sales tax rate is 6%. How much did Ralph pay for the computer?
Answer:
$715.50 my dudeeee
Step-by-step explanation:
..........
Ralph pays a total of $715.5 for the computer including the sales tax amount.
What is Percentage?Percentage is defined as the part of a number in a whole of 100. % is the symbol used to denote the percentage.
Percentage of a number in a whole can be calculated by dividing that number with the whole and then multiply to 100.
Actual price of the computer = $675
Sales tax rate = 6%
Ralph has to pay the actual price and in addition the sales tax to buy the computer.
Amount of sales tax = 6% × 675
= (6/100) × 675
= 0.06 × 675
= $40.5
Ralph should add $40.5 to the actual price.
Total payment made for buying the computer = $675 + $40.5
= $715.5
Hence Ralph pays a total amount of $715.5 for the computer.
To learn more about Percentage, click on the link given below:
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A. 4.5
B. 2.25
C. 6
D. 3
Answer:
XU is horizontal
Step-by-step explanation:
It's going across
Answer:
C. 6
Step-by-step explanation:
El señor Antonio Rodríguez compro en efectivo una televisión de plasma de $138,860.00. Le otorgan un descuento de la 20% ¿Cuanto pago por la televisión?
Answer:
$111,088
Step-by-step explanation:
Paso 1
Encuentra el descuento
Costo de la televisión de plasma = $ 138,860.00
Porcentaje de descuento = 20%
Descuento = 20% × $ 138,860
Descuento = $ 27,772
Paso 2
¿Cuánto pago por la televisión?
Esto se calcula como:
$ 138,860 - $ 27,772
= $ 111,088
Por lo tanto, la cantidad que paga por la televisión es de $ 111,088
Some bakers make apple pie they have 15 boxes of apples each box has 18 apples they use 7 apple for each pie what is the total number of apple pies that the bakers can make
Brent spends $ 420 on his monthly bills. Of this amount, 15 % is for utilities, 1/5 is for Internet service, and 1/7 is for phone service. If the rest of the total amount is for food, how much money does Brent have for food?
Answer: $213
Step-by-step explanation:
First find out how much is spent on the other things:
Utilities
= 15% * 420
= $63
Internet services
= 1/5 * 420
= $84
Phone service
= 1/7 * 420
= $60
The amount left for food is therefore:
= 420 - money spent on other things
= 420 - 63 - 84 - 60
= $213
What is the approximate value of a local maximum for the polynomial?
–4.5
–2.5
0.5
2.5
Answer:
0.5
Step-by-step explanation:
The local minimum is the hill made between 0 and 1 on the y axis. Since it is between 0 and 1, 0.5 is the best choice.
Answer:
2.5
Step-by-step explanation:
Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?
Answer:
4x + 7y = 3365
x + y = 578
x = matinees
y = regular
Step-by-step explanation:
Given
$4 = matinees
$7 = regular
Total tickets = 578
Money collected = $3365
If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;
4x + 7y = 3365
x + y = 578
Solving the system;
Multiply the second equation by (-4)
4x + 7y = 3365
-4x - 4y = -2312
Add the equations
4x + 7y = 3365
-4x -4y = -2312
3y = 1053
Inverse operations
3y = 1053
/3 /3
y = 351
x = 227
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field.
Answer:
x=15
Step-by-step explanation:
6(x−2)=78 (or 6x−12=78), x=15
Which three statements are true about the correlation shown by this scatter plot?
A. The correlation coefficient is approximately 0.96
B. The line of best fit can be used to make accurate predictions from the data.
C. The correlation coefficient is approximately 0.33.
D. The correlation coefficient indicates a strong positive correlation.
E. The line of best fit cannot be used to make accurate predictions from the data
F. The correlation coefficient indicates a weak positive correlation.
Answer:
A,C nd E
Step-by-step explanation:
The three statements are true about the correlation shown by this scatter plot are;
A. The correlation coefficient is approximately 0.96
C. The correlation coefficient is approximately 0.33.
E. The line of best fit cannot be used to make accurate predictions from the data
What is correlation?Correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.
The correlation coefficient is the degree of association between two quantities in terms of linear relation.
The range of correlation coefficient is -1 to 1
The correlation is -1, then that means as the one quantity increases, the other quantity decreases (linearly)
We can conclude that the correlation coefficient is approximately 0.96
The correlation coefficient is approximately 0.33.
The line of best fit can't be used to make accurate predictions from the data
Learn more about correlation coefficient here:
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Please help me I’ll mark you brainiest
SOMEONE HELP ME PLSS !
HELP ASAP MARKING BRAINLIEST
I hoped this helped! +*♡
Guys I need help ASAP I am giving 55 points
Answer:
The answer is 80°
Step-by-step explanation:
pls give brainliest!
all angles = 360°
100+100+80=280°
360°-280°=80°
Select all of the zeros of the polynomial
g(x)=x^4+6x^3+6x^2−24x−40
(A). -2
(B). 2
(C). 1
(D). 4
(E). -4
(F). 8
Answer:
-2, 2
Step-by-step explanation:
those are the answers uwu
helpppppppppppp...plsss
Answer:
c=72
Step-by-step explanation:
8
=
9
8
⋅
8
=
8
⋅
9
Answer:
91
Step-by-step explanation:
For questions like these, you multiply the denominator times what it equals
Like in this case you do 8x9
I hope this helps!