Answer:
(B)45°, 67.5°
Step-by-step explanation:
A regular polygon is a polygon in which all the sides are equal.
An Octagon is a polygon with 8 sides.
Since it is a Regular polygon, the following holds:
1.The Radii are equal
2. The angle Subtended by two radii are equal for all triangles in the octagon.
3. There are 8 Isosceles triangles in the octagon.
(a)Measures of angle formed by Two radii
From the centre of the octagon, there are 8 equal angles.
Sum of Angle at a point= 360°
Each Angle=360°÷ 8 = 45°
The measures of angle formed by two radii is 45°.
(b)a radius and a side of the polygon.
Since the triangles are Isosceles, the base angles at the side of the octagon are equal.
Let x be the angle made by a radius with a side.
From (a) above,
x+x+45°=180°(Sum of Angle in a Triangle)
2x=180-45°
2x=135°
x=135°÷2=67.5°
The angle between a radius and a side of the polygon is 67.5°.
Step-by-step explanation:
1 dollar + 4 quaters + 3 dimes x 3
Answer:
$6.90
Step-by-step explanation:
4 quaters = $1
$1 x 3= 3
3 dimes= 30 cents
3+3+.90= $6.90
she always adds 3 cups of fertilizer for every 8 cups of soil. She filled a large pot with 24 cups of soil for a ficus plant.
How many cups of fertilizer should Eliana add to the pot?
Answer:
9
Step-by-step explanation:
based on the info we have, calculate: 24 x 3 / 8
Answer: 9
When calculating a loan’s effective interest rate, if the nominal rate is 8.5%, what value of i do you plug into your equation? a. 8.5 b. 0.85 c. 0.085 d. 1.85
The value of interest rate should be 0.085.
We have given that the interest rate is 8.5% So we have given in percentage form but we use always decimal form of interest.
What is the decimal form of percentage?
To convert a percentage to a decimal, divide by 100.
So the decimal form of the 8.5% is calculated by
[tex]\frac{8.5}{100}=0.085[/tex]
Therefore the option c is correct.
Therefore we use the interest rate is 0.085.
To learn more about the interest rate visit:
https://brainly.com/question/25793394
Answer: C 0.085
Step-by-step explanation:
The square root of which of the following integers is between 7 and 8 ?
If +20 represent 20m above sea level,then -20 represent?
Answer:
-20 meters below sea level
Step-by-step explanation:
as we know 0 is the water level, and since +20 is 20m above sea level, -20 is 20 m below sea level
Francisco makes $10 per hour doing part-time work on Saturdays. He spends $5 on transportation to and from work. The equation y = 10x − 5 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.
Answer:
15 then 25 then 35 then 45
Step-by-step explanation:
10x2=20-5 is 15 same equation for the rest, 10x3 is 30-5=25,etc.
Hope this helped!
Pls answer the question attached.
I WILL MARK U BRAINLIST
Answer:
The value of (8x^(3)-24x^(2)y^(2)+36x)-:6x is 4x^2/3 - 4xy^2 + 6
Step-by-step explanation:
Miles needs to create invitations for the party. He has 56 of an hour to make the invitations. It takes him 112 of an hour to make each card. How many invitations can Miles create?
Answer: 250
Step-by-step explanation:
HELP!! ASAP PLEASE!! BRAINLIEST BEING GIVEN!
Answer:
b
Step-by-step explanation:
the exponent has to be 7 for the first 2. and then the bigger decimal will be 7.2 so yeah
compound inequality problem: 3x-10<4(x-2)
Answer:
x >-2
Step-by-step explanation:
3x-10<4(x-2)
3x - 10<4x-8
grouping liked terms
3x-4x<-8+10
-x<2
divide through by coefficient of x
x > -2
Your school is sponsoring a pancake dinner to raise money for a field trip. You estimate that 200 adults will attend. You are trying to raise 3800 and deciding how much to charger per adult and per child. List some possible combinations (round to the nearest hundredths place) ___per adult, 0$ per child 10 per adult, ___ per child ___per child, 5$per child
Answer:
Some of the possible combinations are;
1) $19 per adult, $0 per child
2) $10 peer adult, $9 per child
3) $14 peer adult, $5 per child
Step-by-step explanation:
The given information are;
The estimated number of adults to attend the fund raising dinner = 200 adults
The amount the fund raiser is trying to realize = 3800
Therefore, some of the possible combinations are;
1) 3800/200 = 19 per adult to give;
$19 per adult, $0 per child
2) Given that each adult is charged $10, we have;
Total amount from adults = $10 × 200 = $2000
The total amount to be raised from the children = The amount the fund raiser is to realize - (Total amount from adults)
∴ The total amount to be raised from the children = 3800 - 2000 = 1800
The total amount to be raised from the children = $1,800
If there are 200 children we have;
The amount charged per child = (The total amount to be raised from the children)/(The total number of children)
The amount charged per child = $1,800/200 = $9 per child
Therefore, we have;
$10 peer adult, $9 per child
3) If each of the 200 children are charged $5 each, we have;
The total amount to be raised from the children = $5 × 200 = $1,000
∴ The amount to be raised from adults = $3800 - $1000 = $2800
The amount to each adult is to be charged = $2800/200 = $14
Therefore, we have;
$14 peer adult, $5 per child.
Select the two values of x that are roots of this equation.
Answer:
B
C
Step-by-step explanation:
[tex]x_{1} = \frac{5 + \sqrt{5}}{2} \\x_{2} = \frac{5 - \sqrt{5}}{2}[/tex]
4x+1= 2x +7
How to solve this equation?
Answer:
3
Step-by-step explanation:
4x +1 =2x +7
4x - 2x =7 - 1
2x =6
x=6 :2
x=3
Answer:
-2x to both sides
-1 to both sides
then you get 2x=6
divide each side by 2
x=3
tep-by-step explanation:
i dont know how to do this i will mark brainleist if you answer!
Answer:
12a. 45+0.5x+2x+x = 150
12b. the three unknown sides are 30ft, 60ft, and 15ft.
Step-by-step explanation:
12a. the fence is 150ft. so
45+0.5x+2x+x = 150
12.b solve the equation from 12a.
45+0.5x+2x+x = 150
7x/2 = 105
7x = 210
x= 30
0.5(30) = 15ft
2(30)=30ft
x= 30ft
the three unknown sides are 30ft, 60ft, and 15ft.
Answer:
12a. 45+0.5x+2x+x = 150
12b. the three unknown sides are 30ft, 60ft, and 15ft.
Step-by-step explanation:
12a. the fence is 150ft. so
45+0.5x+2x+x = 150
12.b solve the equation from 12a.
45+0.5x+2x+x = 150
7x/2 = 105
7x = 210
x= 30
0.5(30) = 15ft
2(30)=30ft
x= 30ft
the three unknown sides are 30ft, 60ft, and 15ft.
HELP QUICK PLEASE THIS IS FOR AN ASSIGNMENT
Answer:
17
Step-by-step explanation:
Put the expression below as a factor.
EX: 81 - y = 56, y = 81 + 56 = 137.
1. 5( n + 2 ) − 15 = 4 − ( 2n − 5 )
2. 3 ( 2y − 1 ) − 5 = −4y + 22
Answer:
n=2
y=3
I explained the answers to your questions in the photo sent
What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 –8 –5 0 6.
By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]
What is section formula ?Let point P(x,y) cuts line joining point [tex]A(x_1,y_1)[/tex] and [tex]B(x_2,y_2)[/tex] in [tex]m_1:m_2[/tex] then coordinate of point P is equal to [tex](\frac{m_1x_2+m_2x_1}{m_1+m_2}, \frac{m_1y_2+m_2y_1}{m_1+m_2})[/tex]
Here given that point divides line segment from J to K into a ratio 5:1
So
[tex]m_1=5\\\\m_2=1[/tex]
Now we have to fin y coordinate of point that divides the directed line segment from J to K into a ratio of 5:1
We can calculated y coordinate by applying section formula as :
[tex]\frac{5y_2+1y_1}{5+1}\\\\\frac{5y_2+y_1}{6}[/tex]
By applying section formula we got that y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is [tex]\frac{5y_2+y_1}{6}[/tex]
To learn more about section formula visit:https://brainly.com/question/26433769
Answer:
6
Step-by-step explanation:
edg 2022
Hey, Please help!!
1.Solve for r in the scientific formula d= r t
2.Solve for V in the scientific formula P V= n R T
3. Solve for x in the literal equation [tex]\frac{x}{2}[/tex]-g= a
4. Solve for h in the literal equation g [tex](h+\frac{3}{2} )[/tex]=11
5. Solve for n in the literal equation a(n-2)+5=b n
Step-by-step explanation:
1. d = rt
Divide t from both sides.
[tex]\frac{d}{t} = r[/tex]
2. PV = nRT
Divide P from both sides.
[tex]V = \frac{nRT}{P}[/tex]
3. [tex]\frac{x}{2} -g=a\\[/tex]
Add g to both sides.
[tex]\frac{x}{2}[/tex] = g + a
Now multiply by 2 on both sides.
x = 2(g + a)
(or, x = 2g + 2a)
4. g[tex](h+\frac{3}{2} ) = 11[/tex]
Divide g from both sides.
[tex]h + 1.5 = \frac{11}{g}[/tex]
Now subtract 1.5 from both sides.
h = [tex]\frac{11}{g} -1.5[/tex]
5. [tex]a(n-2)+5=bn\\[/tex]
n = [tex]\frac{2a-5}{a - b}[/tex]
z = b – ma , for a
Please help me I need this answer
Step-by-step explanation:
z = b - ma
z - b = ma
z - b / m = a
X + Y = -2
What is y
Answer:
X= -6. Y=4
Step-by-step explanation:
-6+4= -2
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.
Please help me with this question.
The answer is:put the equation xa+yb=1 to the slope intercept form and find its slope and y-intercept.
Sample Answer: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.
PLEASE ANSWER!!! :/
:) PLEASE
Answer:
im pretty sure its 1440
Step-by-step explanation:
you have to do 6 x 60 for one minute, then multiply that by 4 and you get 1440.
Answer:
I think it is 1200 feet.
f(x)=-x2+8x-1 find f(3) show work
Let f(x)=3x^2−2x+1. What is the value of f(−4)?
−55
−49
41
57
Answer:
57Step-by-step explanation:
[tex]f(x)=3x^2-2x+1;f(-4)[/tex]
Let [tex]x=-4[/tex]
[tex]3(-4)^2-2(-4)+1[/tex]
[tex]48-\left(-8\right)+1[/tex]
[tex]57[/tex]
~
Here is a triangular prism.
Answer:
Volume of the prism: 120cm^3
Step-by-step explanation:
volume of a prism = area of cross-section x length
so
volume of triangular prism = 4 (h) x 6 (b) divided by 2 x 10 (length)
6 x 4 = 24
24 / 2 = 12
12 x 10 = 120
Hope this helped!
- profparis
square root of 70 is
rational or iftationet
Answer:
Step-by-step explanation:
It's Irrational.
sqrt(70) = sqrt(2 * 5 * 7)
You can't pull anything out of the right to leave the number under the root sign = to 1. That means that since all three roots are irrational, the whole number is irrational, In fact it takes only 1 number other than 1 left under the root sign to make the result irrational.
√50 = √(5 * 5 * 2)
The 5's will produce one number outside the root sign -- five. That makes the result
5√2 The result is irrational because √2 is irrational
Mike bought an item online for $60 and he was charged a $3 shipping fee. What percent of the sale price was the shipping fee?
Answer:
5%
Step-by-step explanation:
Given the following question:
The item costs 60 dollars
The shipping costs was 3 dollars
What was the percent of 60 is 3?
To find the answer we divide the shipping fee by the cost and then multiply the answer by 100.
[tex]\frac{3}{60} =3\div60=0.05\times100=5[/tex]
[tex]=5[/tex]
3 dollars is "5 percent" of 60 dollars.
Hope this helps.
Each of the 5 boys ate 2/3 of a pizza. What is the total amount of pizza the boys ate?
A
4 1/3 pizzas
B
4 pizzas
C
3 1/3 pizzas
D
3 pizzas
Just answer 15 please.
Answer:
He needs to sell 12 to get exactly $30 but he needs to sell at least 13 if he wants to earn more than $30
Answer:
13 or more magazines.
[tex]30 / 2.5 = 12[/tex]
[tex]12 * 2.5 = 30[/tex]
In that case, anything equal to or greater than 13 is correct.
Given f(x) = 3x- 1 and g(x) = 2x-3, for which value of x does g(x) = f(2)?
Options:
A)x=3/2
B)x=2
C)x=5/2
D)x=4
Answer: x = 4
Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.