1. The figure attached is a regular octagon with radii and an apothem drawn. What is the measure of angle 1?
A. 22.5 degrees
B. 45 degrees
C. 60 degrees
D. 67.5 degrees
Answers
Angle 1 = 360/8 = 45°
Related Questions
Jason is 11 times older than Zack. The sum of their ages is 48. How old is Zack?
Answers
Let z = Zack's age
j = 11z // Jason is 11 times older than zack
j + z = 48 // The sum of their ages in 48
j = 11z becomes j - 11z = 0
j - 11z = 0
j + z = 48
Multiply the top equation by -1
-1(j - 11z) = (0)-1
-j + 11z = 0
-j + 11z = 0
j + z = 48
Add both equations to cancel the j terms.
12z = 48
Divide both sides by 12.
z = 4
Zack is 4 years old and Jason is 44 years old.
Найдите, чему равна сумма корней уравнения: |3x-y|+(x-2)^2+|x-y+z|=0
Answers
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Tomas factored the polynomial completely. What is the value of C?
3x^4 – 18x^3 + 9x^2 –54x
Ax(x^2 + B) (x + C)
C = ?
Answers
if the roots of the equation (a2+b2)x2-2(ac+bd)x+(c2+d2)=0 are equal, prove that a/b=c/d ...?
Answers
Since d = -4(ad - bc)^2, then roots are real only when ad - bc = 0, ie, ad = bc.
Now, using the quadratic formula we get just one root = -(ac + bd)/(a^2 + b^2).
---------------------------------------...
You can also check:
(x + (ac + bd)/(a^2 + b^2))^2 = x^2 + 2(ac + bd)/(a^2 + b^2)x + (ac + bd)^2/(a^2 + b^2)^2 and note
(ac + bd)^2 = a^2c^2 + 2abcd + b^2d^2 = a^2c^2 + abcd + abcd + b^2d^2 = a^2c^2 + a^2d^2 + b^2c^2 + b^2d^2 = (a^2 + b^2)(c^2 + d^2).
So x^2 + 2(ac + bd)/(a^2 + b^2)x + (ac + bd)^2/(a^2 + b^2)^2 = x^2 + 2(ac + bd)/(a^2 + b^2)x + (c^2 + d^2)/(a^2 + b^2)
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Which of these is a step in constructing an inscribed square using technology?
Construct segment DB, segment BC, segment CE, segment EG, segment GI, and segment ID.
Draw segments BR, RS, and SB.
Identify the points of intersection between circle A and circle G.
Mark the points of intersection between circle A and line AB.
Answers
The answer is D: Mark the points of intersection between circle A and line AB.
The solution is:
B. Create circle A with point B on the original circle., these is a step in constructing an inscribed square using technology.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
An equilateral triangle is one in which the three angles and sides are equal. And this can be inscribed in another given shape. Inscribed triangle implies constricting a given triangle within the boundaries of another given shape, e.g circle. In this case, the edges of the triangle touches internally the circumference of the circle.
Draw circle A with point B on the circumference of the circle
Put your compass at B with radius equal to the radius of circle A
Draw an arc to cut the circumference of the circle
Draw another arc to cut the circumference on the other segment of the circle
Join the points where the arcs cut the circumference to construct the equilateral triangle.
Hence, The solution is:
B. Create circle A with point B on the original circle., these is a step in constructing an inscribed square using technology.
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I WILL UPVOTE!!!!!!
PLZ HELP ALGEBRA A-B.
Evaluate b^2c^-1 for b = -4 and c = 2.
Answers
-4^2(2)^-1
-4^4^-1
-4^1/4
1 + i
A city finds its residents are moving to the suburbs. its population is decreasing by 4% per year. if the initial population of the city was 100,000, what will its population be in 10 years (round answer to the nearest person)?
Answers
40% = 40,000
What is 4 feet to inches?
Answers
So, that means that there are 48 inches in 4 ft.
You multiply 4 ft by 12 in to get 48
20 is what percent of 50
Answers
How to solve 2x 4=17 step by step?
Answers
1,8,15,22,...the next three of the arithmetic sequence
Answers
Real easy
Kumbu saleh traded primarily in
Answers
Hope this will help.
math help!!!
John owes a debt of $500 to his landlord. His father has agreed to pay 3/5 of this amount for him. How much will his father pay?
of this amount for him. How much will his father pay?
A) $100
B) $300
C) $500
D) $1000
Answers
Answer: B. $300
Step-by-step explanation: 3/5 * 500 = 300
Plot 4/3 and 26/3 on the number line.
Answers
4/3 = 1.3333
26/3 = 8.6666
so, on a number line, you'd just plot 4/3 a little past 1, and plot 26/3 a little over half past 8.
A museum grounds keeper is crating a semicircular statuary garden with diameter of 30 feet. There will be a fence around the garden. The fencing costs $9.25 per linear foot. About how much will the fencing cost altogether?
Answers
Randi's school requires that there are 2 adult chaperones for every 18 students when the students go on a field trip to the museum. If there are 99 students going to the museum, how many adult chaperones are needed?
Answers
Answer:11 chaperones
Step-by-step explanation:1st you do 99÷18=5.5
2nd you make 5 circles then put the number 2 in them
3rd you make a half circle and put the number 1
4th you add 2+2+2+2+2+1
An auditorium has 25 rows with 45 seats in each row, how many seats are there in all?
Answers
Suppose your total taxable income this year is $75,000. You are taxed at a rate of 10 percent on the first $25,000, 20 percent on the next $25,000, and 30 percent on the final $25,000. What is your total income tax?
Answers
2) $25,000 * 20% = $5,000
3) $25,000 * 30% = $7,500
Total income tax = $2,500 + $5,000 + $7,500 = $15,000.
Answer: $15,000
You could calculate the average tax rate: [$15,000 / $75,000] * 100 = 20%
The total income tax in the year is [tex]\boxed{\$ 15000}.[/tex]
Further explanation:
Given:
The total taxable income is [tex]\$75000.[/tex]
The rate of tax on the first [tex]\$25000[/tex] is [tex]10\%.[/tex]
The rate of tax on the next [tex]\$25000[/tex] is [tex]20\%.[/tex]
The rate of tax on the next [tex]\$25000[/tex] is [tex]30\%.[/tex]
Explanation:
The rate of tax on the first [tex]\$25000[/tex] is [tex]10\%.[/tex]
The income tax on the first [tex]\$25000[/tex] can be obtained as follows,
[tex]\begin{aligned}{\text{Income tax}}&=\frac{{10}}{{100}}\times 25000\\&= \$ 2500\\\end{aligned}[/tex]
The rate of tax on the next [tex]\$25000[/tex] is [tex]20\%.[/tex]
The income tax on the next [tex]\$25000[/tex] can be obtained as follows,
[tex]\begin{aligned}{\text{Income tax}}&= \frac{{20}}{{100}}\times 25000\\&=\$5000\\\end{aligned}[/tex]
The rate of tax on the next [tex]\$25000[/tex] is [tex]30\%.[/tex]
The income tax on the next \$25000 can be obtained as follows,
[tex]\begin{aligned}{\text{Income tax}}&=\frac{{30}}{{100}}\times 25000\\&=\$ 7500\\\end{aligned}[/tex]
The total income tax can be obtained as follows,
[tex]\begin{aligned}{\text{Total income tax}} &= \$ 2500 + \$ 5000 + \$ 7500\\&= \$ 15000\\\end{aligned}[/tex]
Hence, the total income tax in the year is [tex]\boxed{\$ 15000}[/tex].
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Income Tax
Keywords:Total taxable income, tax, $75000, rate, 10 percent, 20 percent, final, income tax, 30 percent, salary.
Find the perimeter of the shape below:
(attached)
7.4 units
8.9 units
11.2 units
13.6 units
Answers
Length of RS = sqrt((-2 - (-1))^2 + (7 - 3)^2) = sqrt((-1)^2 + 4^2) =sqrt(1 + 16) = sqrt(17) = 4.12 units
Length of ST = sqrt((2 - (-2))^2 + (5 - 7)^2) = sqrt(4^2 + (-2)^2) = sqrt(16 + 4) = sqrt(20) = 4.47 units
Length of TU = 3 units
Length of UR = 2 units
Perimeter = 4.12 + 4.47 + 3 + 2 = 13.6 units.
The perimeter of the polygon to the nearest tenth of a unit [tex]\boxed{13.6{\text{ units}}}[/tex]. Option (d) is correct.
Further explanation:
The distance between the two points can be calculated as follows,
[tex]\boxed{{\text{Distance}} = \sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}} }[/tex]
Given:
The coordinates of the vertices of the polygon are [tex]\left( { -2, 7} \right),\left( {2, 5} \right),\left( {- 1, 5} \right)[/tex], and [tex]\left( { - 1, 3} \right).[/tex]
Explanation:
The coordinates of the vertices of the polygon are [tex]\left( { -2, 7} \right),\left( {2, 5} \right),\left( {- 1, 5} \right)[/tex], and [tex]\left( { - 1, 3} \right).[/tex]
The distance between points [tex]\left( { -2, 7} \right)[/tex] and [tex]\left( {2, 5} \right),[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 2 - 2} \right)}^2} + {{\left( {5 - 7} \right)}^2}}\\&= \sqrt {16 + 4}\\&= \sqrt {20}\\&= 4.47\\\end{aligned}[/tex]
The distance between points [tex]\left( {2, 5} \right)[/tex] and [tex]\left( {- 1, 5} \right)[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}}&= \sqrt {{{\left( { - 1 - 2} \right)}^2} + {{\left( {5 - 5} \right)}^2}}\\&= \sqrt {9 + 0}\\&= \sqrt9\\&= 3\\\end{aligned}[/tex]
The distance between points [tex]\left( {- 1, 5} \right)[/tex], and [tex]\left( { - 1, 3} \right)[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 1 + 1} \right)}^2} + {{\left( {3 - 5} \right)}^2}}\\&= \sqrt {0 + 4}\\&= \sqrt4\\&= 2\\\end{aligned}[/tex]
The distance between point [tex]\left( { -2, 7} \right)[/tex] and [tex]\left( { - 1, 3} \right)[/tex] can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 1 + 2} \right)}^2} + {{\left( {3 - 7} \right)}^2}} \\&= \sqrt {1 + 16} \\&= \sqrt {17} \\&= 4.13\\\end{aligned}[/tex]
The perimeter of the polygon can be calculated as follows,
[tex]\begin{aligned}{\text{Perimeter}} &= 4.47 + 3 + 2 + 4.13\\&= 13.6\\\end{aligned}[/tex]
Option (a) is not correct.
Option (b) is not correct.
Option (c) is not correct.
The perimeter of the polygon to the nearest tenth of a unit [tex]\boxed{13.6{\text{ units}}}.[/tex] Option (d) is correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Coordinate geometry
Keywords: perimeter, shape, perimeter of shape below, Coordinates, vertices, polygon, x-coordinate, y-coordinate, perimeter, circumference, nearest tenth unit, distance formula.
use analytic methods to find the extreme values of f(x)= (1/x) + lnx on the interval 0.5 ≤ x ≤ 4 and where they occur
Answers
At the extreme values, f'(x) = 0
f'(x) = -1/x^2 + 1/x = 0
(x - 1)/x^2 = 0
x - 1 = 0
x = 1
f(1) = 1/1 + ln 1 = 1
Therefore, the extereme value is 1 and occurs at x = 1.
The problem involves empirical probability. The table shows the breakdown of 95 thousand single parents on active duty in the U.S. military in a certain year. All numbers are in thousands and rounded to the nearest thousand. Use the data in the table to find the probability that a randomly selected single parent in the U.S. military is in the army.
Answers
The data provided does not include specific information needed to calculate the empirical probability of a randomly selected single parent in the U.S. military being in the Army.
Explanation:Unfortunately, the provided information does not give specific numbers for single parents actively serving in the different branches of the U.S. military, including the Army. Therefore, it is not possible to accurately calculate the empirical probability this question is asking for. However, if such data were available, you would calculate the empirical probability of a randomly selected single parent in the U.S. military being in the Army by dividing the number of single parents in the Army by the total number of single parents on active duty.
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9/8*0.97 which is closer to a.0.5 b.1 c.2
Answers
Final answer:
After performing the multiplication 9/8*0.97, which equals 1.09125, we find that this number is closest to 1 as compared to the other options provided (0.5 and 2).
Explanation:
To determine which number 9/8x0.97 is closer to among the options 0.5, 1, and 2, we need to perform the multiplication. The fraction 9/8 can be converted to a decimal by dividing 9 by 8, which gives us 1.125. Next, we multiply 1.125 by 0.97 to find the result of the original expression.
Multiplying these two numbers gives us 1.125 x 0.97 = 1.09125. Comparing this result to the options provided, we can clearly see that 1.09125 is closest to 1.
Therefore, the answer to the question is (b) 1, since 1.09125 is very close to 1 and further away from 0.5 and 2.
A ball is projected at an angle of 53°. If the initial velocity is 48 meters/second, what is the vertical component of the velocity with which it was launched?
Answers
Answer: B (38m/s)
Explanation: The vertical component of a vector such as velocity is the magnitude of the vector multiplied by the sine of the angle.
What is 7 divided by 1/2?
Answers
7 * 2/1 = 14/1 or just 14
The sum of two consecutive odd integers is 56. what is the smaller number?
Answers
28-1=27
so the smaller number is 27
as the fish-and-game warden of your township, you are responsible for stocking the town pond with fish before fishing season. the average depth of the pond is 20 feet. you plan to start the season with one fish per 1000 cubic feet. you intend to have at least 25% of the opening day's fish population left at the end of the season.what is the maximum number of licenses the town can sell if the average seasonal catch is 20 fish per license?
...?
Answers
= 1,332,000 ft^2
Average depth of 20 ft =
1,332,400 / 20 = 2,664,000 ft^3
2,664,000 ft^3 / 1 fish/1,000 ft^3 = 26,640 fishes
26,640 x 75 % = 19,980 catchable fishes
19,980 /20 = 999 licenses
hope this helps
What is the ratio of the area of the inner square to the area of the outer square?
(a−b)²+b²/a²
a²−b²/a²
(a−b)²/(a+b)²
(ab)²/(a+b)²
Answers
(a−b)²+b²/a²
proof
if A is the area of the
inner squared, so A= c², and c²= (a−b)²+b²
so the side of the outer must be a-b +b=a, its area is a²
Answer: I just did the quiz in Plato the answer will be option A or (a-b) 2+b2/a2
Step-by-step explanation:
1.3 yrs = ? hrs ...?
Answers
1 year = 365.25 days
1.3 years = x days
________________
1.3 years = 1.3 * 365.25 days = 474.825 days
________________
________________
1 day = 24 h
474.825 days = x hours
________________
474.825 days = 474.825 * 24 hours = 11395.8
Determine which two values the following expression is between.
π2
A. 9 and 9.61
B. 9.61 and 10.24
C. 10.24 and 10.89
Answers
_____________________________________________________
[Note: This is based on the assumption that the expression in the problem given is: "(π) squared"; or: "π² " — [and NOT: "(π*2)"; or, "(2*π)".]
_______________________________________________________
Explanation:
______________________________________
Let us assume the expression in the problem means:
"(π) squared" or, "π² " {"pi squared"; or, "pi to the second power"}.
___________________________________
Then, π² = (3.1415926535897932) ²
= 9.8696044010893583772
___________________________________
Even if one uses "3.14" for "π" ; since π ≈ 3.14; then:
Then, π² ≈ (3.14)² ; and: (3.14)² = 9.8596
___________________________________
Both methods result is 9.8....; which corresponds with:
Answer choice: [B]: 9.61 and 10.24 .
______________________________________________
Answer:
9.61 and 10.24
Step-by-step explanation:
Which number rounds down when rounded to the nearest hundredth?
a. 46.215
b. 54.384
c. 57.456
d. 61.307