Step-by-step explanation:
Size of Exterior angle = 360°/n, where n is the number of sides of the regular polygon.
Hence we have 360°/13 = 27.7° (1d.p.)
The measure of an exterior angle of a regular 13-gon is 27.69°.
What is a regular 13-gon?A regular 13-gon is a polygon that has 13 equal sides, 13 equal interior angles, and 13 vertices.
The given polygon is a regular 13-gon.
Therefore, all the exterior angles of this polygon are equal.
We know, each exterior angle of a regular polygon with 'n' sides is
= (360 / n)°
Here, n = 13.
Therefore, the value of each exterior angle
= (360 / 13)°
= 27.69°
Learn more about a polygon here:
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Write an equation in slope-intercept form for each of these representations.
1. A line with a y-intercept of 2 and a slope of -¼
2. A line that passes through (1, -3) and (3, -7)
Answer:
1. y= -1/4x +2
2. y= -2x -1
Step-by-step explanation:
One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
A. 37 humans and 98 horses
B.24 horses and 50 humans
C. 31 horses and 74 humans
D. 24 humans and 50 horses
Answer:C
Step-by-step explanation:
help me plz i dum reeee
Answer:
The mean absolute deviation of the data set is 2.5
Step-by-step explanation:
We need to find mean absolute deviation of the data set:
10,8,10,6,6,2,10,4
First we will find mean of the given data set.
The formula used is: [tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}[/tex]
Sum of all data = 10+8+10+6+6+2+10+4 = 56
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{56}{8}\\Mean=7[/tex]
Now, we will calculate the absolute difference between mean and each data value.
|10-7| = 3
|8-7| = 1
|10-7| = 3
|6-7| = |-1| = 1
|6-7| = |-1| = 1
|2-7| = |-5| = 5
|10-7| = 3
|4-7| = |-3| = 3
Now, we will find mean of 3,1,3,1,1,5,3,3
Sum of all data = 3+1+3+1+1+5+3+3 = 20
Number of data = 8
So, mean will be:
[tex]Mean=\frac{Sum\:of\:all\:data}{Number\:of\:data}\\Mean=\frac{20}{8}\\Mean=2.5[/tex]
So, the mean absolute deviation of the data set is 2.5
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
Cory has the marbles shown below. If Cory gives of the marbles to his brother, how many marbles will Cory have left 0 A 3 B5 C 10 D 1o show work
Answer:
Can you give more information so i can answer your question
Step-by-step explanation:
A is the center of the circle, and the length of CD is 15 centimeters.
1. Select a segment that is a radius.
Answer:
All answers expect CD
Step-by-step explanation:
A circle is a shape that has a fixed point(called the center) that is equal from any point on the circle arc. A radius is from the center of the circle to the circumference( the circle's arc) and is half of the diameter.. Using those logic, AC,AD are a radius because it half of diameter, AE, AG, AB are one because it goes from the center of the circle to its point on the circle arc. C
CD is the diameter.
What is 2.5t=10
T is variable
Answer:
ddd
Step-by-step explanation:
Answer:
t=10/2.5
t=4.........
On a test, you correctly answer six 5-point questions and eight 2-point questions. You earn 92% of the possible points on the test. How many points pis
the test worth?
The test is worth p-points,
30
Answer:
The test is worth 46 points.
How can polynomial functions be written when given the zeros?
Answer:
Write it in it’s factored form
Step-by-step explanation:
For more info you can look it up.
Five buses leave on a field trip .There are about 45 students per bus.About how many students are on the 5 buses.
Add or subtract. Write the simples form
2/3 + (5/3 - 3/4)
Write an equation the line passes through (4, 1) and is parallel to y = - 2x + 7
Answer:
y = -2x + 9
Step-by-step explanation:
The equation of the new line is the same as that of this given line, EXCEPT that the constant will be different.
Start with y = mx + b; substitute 1 for y, 4 for x and -2 for m:
1 = -2(4) + b
Then b = 9, and y = -2x + 9
What is the inverse function of f(x) = -2?
2.) Which is equivalent to 3 (а- 9)?
За - 9
OOption 2
оза + 9
оза - 27
Answer:
3a-27
Step-by-step explanation:
Distribute the 3
3 x a is 3a
3 x 9 is 27
25−2(5+4x)
15+8x
35+8x
HURRY I HAVE TO DO THIS TEST BEFORE 3 AND ITS 50 QUESTIONS
15-8x
7x
Step-by-step explanation:
25 - 2(5 + 4x)
= 25 - 10 - 8x (Distributive Property)
= 15 - 8x.
You went to BW3, your total bill was $56.47, if you want to give an 18% tip, what's your final bill?
Answer:
The answer is 66.6346 round it to what ever place you need to.
Step-by-step explanation:
Take the 56,47, multiply it by .18, and add that value to 56.47 Hope it helps
all decimals are:-
a) Rational number
b) irrational numbers
c) real numbers
d) integers
Answer:
I will win the war again like the last one .....
A person makes 300 dollars a month babysitting. If they
plan to save 30% of that, how much will they save each
month? PLEASE HELPPP WLL GIVE BRAINLEIST
Answer:
They will save $90 each month
Step-by-step explanation:
300*30%
or
300*.3
90
anyone good at solving rational zeros
Answer:
I am what's your question?
Step-by-step explanation:
1. Calculate the volume of the following shapes.
I
a)
9m
8m
5m
It’s a rectangle
Answer:The answer is 360 cubic meter.
Step-by-step explanation:
Answer:
It's 360 cubic meter.
Step-by-step explanation:
Volume of rectangle=length*width*height
= 9×8×5
= 360m³
Jim walks a 1 3/4 -mile path two times a week. He also bikes 20 1/5 miles two times a week. What is Jim’s total mileage from walking and biking for one week?
Answer:
42.9 miles in one week
Step-by-step explanation:
A marketing manager wants to package 48 promotional items into 1 supervalue pack and 10 smaller promotional packs. He uses 8 items for the supervalue pack and equally divides the rest into the smaller packs. How many items will be in each of the smaller packs?
A. 2 items
B. 4 items
C. 38 items
D. 40 items
Pls help it due ASAP.
Please show workings
It due in a hour....
Answer:
C. [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
In order to find the slope knowing two points, use the slope formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line intersects.
Knowing this, use the points (-4, -4) and (6, 4) for the formula. Substitute -4 for [tex]x_1[/tex], -4 for [tex]y_1[/tex], 6 for [tex]x_2[/tex], and 4 for [tex]y_2[/tex]. Then, simplify:
[tex]\frac{(4) - (-4)}{(6) - (-4)} \\= \frac{4+4}{6+4} \\= \frac{8}{10} \\= \frac{4}{5}[/tex]
Thus, [tex]\frac{4}{5}[/tex] is the slope of the line.
Over 12 hours the water in Julie's pool drained a total of 534.72 liters. It drained the same number of liters each hour. What was the change in the number of liters of water in Julie's pool each hour and what is the unit rate
Given:
Over 12 hours the water in Julie's pool drained a total of 534.72 liters.
It drained the same number of liters each hour.
To find:
The change in the number of liters of water in Julie's pool each hour and what is the unit rate.
Solution:
We have,
Water drained in 12 hours = 534.72 liters
Water drained in 1 hour = [tex]\dfrac{534.72}{12}[/tex] liters
= [tex]44.56[/tex] liters
44.56 liters water drained in 1 hour.
So, the change in the number of liters of water in Julie's pool each hour is 44.56 liters.
The water is decreasing with respect to time, so the rate of change must be negative.
Rate of change = -44.56 liter per hour
Therefore, the rate of change is -44.56 liter per hour.
Heeeeeelp pleaseeeeeee
Answer: angle R and T = 55; angle S and U = 125
Step-by-step explanation:
Answer:
∠S and ∠U = 125° and ∠R and ∠T = 55°
Step-by-step explanation:
The interior angles of a parallelogram with differing values form a supplementary angle meaning the sum is 180°. Use this information to make an equation.
11x + 4 + 5x = 180
16x + 4 = 180
16x = 176
x = 11
Substitute the solution for x to find the interior angles.
11(11) + 4 = 121 + 4 = 125
5(11) = 55
Carmen pays $20 to rent a scooter for 4 hours. The cost c, to rent a scooter is proportional to the number h of hours that she rents the scooter. Write an equation that represents the situation. How much would it cost Carmen to rent the scooter for 6 hours
Answer: 30$
Step-by-step explanation:
Equation
C=5h
c=5(6)
c=30
Please i will thank you and give the best answer brainiest also 5 stars plssssss
Answer:
Yes!, this is a scientific model because this shows everything of the water cycle.In fact the water cycle shows the continuous movement of water within the Earth and atmosphere. It has the system that includes all the different processes.For example Liquid water evaporates into water vapor, condenses to form clouds, and precipitates back to earth in the form of rain and snow.
hope this is what your looking for! ^^
Answer:
yes
Step-by-step explanation:
Frequent and detailed measurements help scientists make models of and determine changes in Earth's water cycle. The water cycle describes how water evaporates from the surface of the earth, rises into the atmosphere, cools and condenses into rain or snow in clouds, and falls again to the surface as precipitation.
can I plz have help on number 6
Answer: 5/8 miles
Step-by-step explanation:
1. Add the distance from home to school, and from school to post office (7/8+5/6 = 41/24)
2. Figure out how many miles the trip was in total, given that she can travel a mile in 18 minutes and the trip was 42 minutes, by dividing 42/18, which equals [tex]2\frac{1}{3}[/tex]. The trip was [tex]2\frac{1}{3}[/tex] miles long.
3. Now, given that she has already traveled 41/24 miles from her home to the post office, subtract 41/24 from [tex]2\frac{1}{3}[/tex]. This equals 5/8, meaning that she traveled 5/8 miles from Post office to her friend's home.
the students have 12 bags of balloon with 24 balloons in each bag they have filled 139 with air. if they use all the bags how many still need to be filled with air
A.67
B.149
C.288
D.365
Answer:
149
Step-by-step explanation:
12× 24 = 288
228 - 139 = 149
Answer:
B. 149
Step-by-step explanation:
If the students have already filled 139 balloons with air and are going to use all the bags. They would need to fill 149 more balloons.
The first step would be to find the total number of ballons by calculating 12x24 which will give you 288.
From here you would need to subtract the number of ballons that are already filled with air from the balloons that remain which would be 288-139. This would give you a total of 149 balloons that still need to be inflated.
In 2–4, write Yes or No to indicate whether the expressions are equivalent. 2. 10x - 3 + 2x - 5 and 4(3x - 2) 3. 3y + 3 and 9(y + 1/3) 4. 6(3x + 1) and 9x + 6 + 9x
Step-by-step explanation:
2. 10x - 3 + 2x - 5 and 4(3x - 2)
10x - 3 + 2x - 5
Upon simplifying;
10x + 2x - 3 - 5
12x - 8
4(3x - 2)
12x - 8
Both expressions are equivalent - Yes!
3. 3y + 3 and 9(y + 1/3)
9(y + 1/3)
upon simplifying;
9y + 9 (1/3)
9y + 3
3y + 3
Both expressions are not equivalent - No!
4. 6(3x + 1) and 9x + 6 + 9x
6(3x + 1)
upon simplifying;
6(3x) + 6 (1)
18x + 6
9x + 6 + 9x
Upon simplifying;
9x + 9x + 6
18x + 6
Both expressions are equivalent - Yes!