6. What is the measure of each exterior angle
of a regular decagon?
a.45°
B.36°
C. 30°
d. 40°
Answer:
36° .⠀
Explanation :
⠀
For a regular polygon of n sides, we have
[tex]\bf \longrightarrow \qquad Each \: exterior \: angle = { \bigg( {\dfrac{360}{n} } \bigg)}^{ \circ} [/tex]
⠀
Here, We are to find the measure of each exterior ange of a regular decagon.
⠀
So, we know a regular decagon has 10 sides, so n = 10 .⠀
Now, substituting the value :
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{360}{10} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle _{(Decagon)}= { \bigg( {\dfrac{36 \cancel0}{1 \cancel0} } \bigg)}^{ \circ} [/tex]
⠀
[tex]\sf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = { \bigg( {\dfrac{36}{1} } \bigg)}^{ \circ} [/tex]
⠀
[tex] \pmb{\bf \longrightarrow \qquad Each \: exterior \: angle_{(Decagon)} = 36^{ \circ} }[/tex]
⠀
Therefore,
The measure of each exterior angle of a regular decagon is 36° .Answer:
It is 36 degrees because the out side is equal to 360 degrees
If you divide that by ten you get 36 for each angle
Step-by-step explanation:
2x – 2y = 24
4x + 7y = –40
Answer:
Step-by-step explanation:
Karana's mom bought her two items using a credit card. The first item cost $254, and the second item costs $388. Later, she returned both items to the store. What was the change in the amount owed to the credit card company from returning both items?
Answer: the amount owed to the credit card company after returning both items is $642
Step-by-step explanation:
$254+$388= $642
Answer:
-642
Step-by-step explanation:
There are 6 blue, 8 green, 5 red, and 10 yellow marbles in a bag. If a
marble is picked from the bag at random, what is the probability that it
will be green or red?
Answer:
13/29
Step-by-step explanation:
6 + 8 + 5 + 10 = 29
8 + 5 = 13
The ratio of the measure of two supplementary angles is 15:21. What is the measure of the smallest angle?
Answer:
75
Step-by-step explanation:
The measure of two supplementary angles = 15:21
The angles are 15x , 21x
15x + 21x = 180 {Supplementary}
36x = 180
x = 180/36
x = 5
Smallest angle = 15 * 5 = 75
Find the circumference of a circle with a radius of 25.83 inches to the nearest tenth of an inch
Answer:
162.3 in^2
Step-by-step explanation:
C=2πr=2·π·25.83≈162.29468in
I don’t know how to do this because my teacher doesn’t teach us anything.
Answer: Choice D)
He needs to square each deviation in the numerator.
==========================================================
Explanation:
The sample standard deviation involves these steps
Find the sample mean xbar.Subtract the xbar value from each data point. This gets us the list of deviations or how far each person is from the mean.Square each difference in the previous stepAdd up the squares from step 3. This is referred to as the Sum of the Squared Errors (SSE)Divide the SSE over n-1. If Toby was doing a population standard deviation, then he'd divide over n instead of n-1. However in much of statistics, we don't know much about a population and instead rely on sample statistics.The result of step 5 gets the variance. Apply the square root to the variance to get the standard deviation.The step 3 highlighted in bold is where Toby made an error. He subtracted xbar from each person correctly, but forgot to square those deviations. The squaring is done to ensure we don't have any negative deviations.
This is what his work should look like when calculating the sample standard deviation
[tex]s = \sqrt{\frac{(6-7)^2 + (5-7)^2 + (9-7)^2 + (8-7)^2}{3}}[/tex]
9.
Which of these is equal to {2 - 31}{21 +4}?
Answer:
-725
Step-by-step explanation:
At rehearsal for the school play, jack sings three times as many songs as Jennifer, and then dances to 5 more songs, just to show off. He does 44 performances in total. The equation 3x + 5 = 44 describes this situation. What does the variable x represent?
Step-by-step explanation:
3x+5=44
3x=44-5
3x=39
x=39÷3
x=13
K is the midpoint of JL. If JK = 5x and JL = 8x + 10, what is JL?
Answer: 50
Step-by-step explanation:
does anyone have any ideas that i could write for my short story please??? i need help :(((
16.9 divided by 4? please show your work, thank you!
Answer:
4.225
Step-by-step explanation:
16.9/4 = 4.225
........
Brandon bought three pounds of bananas for $1.35. How much would ten pounds of bananas cost at the same price per pound?
Determine the line symmetry for figure.
Answer:
where's the problem
Step-by-step explanation:
A tree that is 9 feet tall casts a shadow that is 27 feet long. How
long will the shadow be of a tree that is 20 feet tall?
Answer:
60 feet
Step-by-step explanation:
9 / 27 = 20 / x
cross multiply and divide
9x = 540
x = 60
A 500 cm piece of wire with a radius of 0.2 cm has a resistance of 0.025 ohm. Find an equation that relates these variables.
Answer:
Step-by-step explanation:
Kiki’s mother cooked a dinner that contained a total of 992 calories. She also prepared a dessert that contained a total of 846 calories. The dinner was divided into 4 equal servings. The dessert was divided into 6 equal servings. Kiki had one serving of dinner and one serving of dessert.
f + 2.5= 3f + 7.24 (What first step would you do to solve for f? )
Step-by-step explanation:
We have our question.
f + 2.5= 3f + 7.24
Then you combine like terms that taking the coefficients apart.
That is,
NOTE: WHEN TAKING A NUMBER ACROSS AND EQUAL SIGN THE SIGN CHANGES, E.G - TO + .
f - 3f = 7.24 - 2.5
-2f = 4.74
Divide both sides by coefficient of f which is -2
-2f = 4.74
-2 -2
f = 8.49
Answer:
Step-by-step explanation:
We have our question.
f + 2.5= 3f + 7.24
Then you combine like terms that taking the coefficients apart.
That is,
NOTE: WHEN TAKING A NUMBER ACROSS AND EQUAL SIGN THE SIGN CHANGES, E.G - TO + .
f - 3f = 7.24 - 2.5
-2f = 4.74
Divide both sides by coefficient of f which is -2
-2f = 4.74
-2 -2
f = 8.49
The ratio of cats to dogs is 4:5 if there are 20 dogs how many are there
Answer:
16
Hope it helps!
#4 and #5 find the slope in the graph MULTIPLE CHOICE
Answer: The first answer would be C. The second answer would be B
Step-by-step explanation:
draw a right triangle between the points (4, 3) & (-4, -1) for the first one as for the second use the points (0, 4) and (-1, -3)
and use the formula
[tex]m = \frac{rise}{run} [/tex]
Please help me out, I don't get it
The length of a rectangle is four times its width, If the perimeter of the rectangle is 90 m, find its length and width.
Answer:
detail answer is given go through it .....
Nathan is walking at a speed of 2.5 miles per hour. If he continues to walk at the same speed, how far can Nathan walk in 1.75 hours?
Answer:
4.375
Step-by-step explanation:
2.5mil = 1hr
xmil = 1.75hr
x = 1.75 * 2.5
x = 4.375
BRAINLIEST
i think of a number, half it and subtract four
Answer:
-2
Step-by-step explanation:
I thought of the number 4
Divide 4 by 2
2
2 - 4 = -2
Hope I helped :)
Please consider Brainliest :)
(if you want)
Answer:
12-4=8
Step-by-step explanation:
12-4 = 8
Given mn, find the value of x. + >m (8x+5)° (4X-17)°
The L.C.M of 6 and 15 is what? first person Brainliest answer
Answer:
The LCM of 6 and 15 is 30
Step-by-step explanation:
6 and 15 are both divisible by 30.
Answer:
30
Step-by-step explanation:
multiples 0f 6 are 6, 12, 18, 24, 30, 36, .......
multiples of 15 are 15, 30, 45, 60, .......
the LCM of 6 and 15 = 30
How to change a fraction into a percentage
Answer:
divide the numerator by the denominator
Step-by-step explanation:
2 = 2/3 = 0.666666667
3
HELP ME AND I WILL GIVE BRAINLIEST I REALLY NEED HELP
Find the value of x in this case-
Answer: 22 degrees
Step-by-step explanation:
The area of a rectangular field is 4864 m².
If the width of the field is 64 m, what is its length?
Answer:
76 m
Step-by-step explanation:
The area of a rectangle = length × width.
If we know that the area is 4864m² and the width is 64m, we can substitute this into the formula:
4864 = length × 64
To find the length, all we have to do is divide the area by 64: length = 4864 ÷ 64 = 76 m
Hope this helps!
11. The tree diagram below illustrates the possible outcomes of two tosses of a balanced coin.
Heads
Heads
Tails
Heads
Tails
Tails
What is the probability that heads will come up on at least one of the tosses?