The apothem of a regular hexagon measures 8 cm. a regular hexagon has an apothem with a length of 8 centimeters. which are true of the regular hexagon? check all that apply. the perimeter of the hexagon is 48 cm. the measure of the angle formed by the radius and the apothem is 30°. the side length of the hexagon is about 4.6 cm. in a regular hexagon, the radius and side length are equal in length. the area of the hexagon is about 221.7 square cm.
The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The apothem of a regular hexagon measures 8 cm.
Then the side length of the hexagon will be
[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]
The perimeter of the hexagon will be
Perimeter = 6 × 9.24 = 55.43 cm
The area of the hexagon will be
Area = 0.5 × 8 × 9.24 = 36.95 cm².
The angle made by the apothem and the radius is 30 degrees.
More about the polygon link is given below.
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Answer:
2, 4, & 5
Step-by-step explanation:
I did it
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 1/2 or 1.5
As a simplified fraction
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Please answer this it would be very helpful if you did.
Answer:
See below ↓↓↓
Step-by-step explanation:
Probability of getting heads
Outcome (head) = 1Total outcomes = 2P (head) = 1/2Probability of getting an odd number
Outcome (odd) = {1, 3, 5} = 3Total outcomes = 6P (odd) = 3/6 = 1/2The outcomes are equally likely because the probabiity of each outcome is the same.
PLEASE HELP! This is my last question and I need to get it right or I fail.
Answer:
The answer is -8.
Step-by-step explanation:
1. Solve the upper half of the expression by following the order of operations:
10² - (100 + 8²)
10² - (100 + 64)
10² - 164
100 - 164
= -64
2. Solve the bottom half by multiplying 2 by itself three times:
2 · 2 · 2 = 8
3. Divide the now given values
[tex]\frac{-64}{8}[/tex]
= -8
hope this helps!
An event has probability of 3/4.
How would you best describe
the likehood of this event?
Answer:
more likely
Step-by-step explanation:
3/4 is 0.75 or 75%. I would describe it as likely.
elimination-
3/4 is not equal to 1 or 0.5 or 0. It is also not equal to 0.25
The total number of balls in a bag will be 4 in which 3 balls are red and 1 ball is blue.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
The probability of the event is 3/4.
Let the total number of balls be 4 of two colors that are red and blue and the probability of red color be 3/4.
There will be a total of 4 balls in the bag, 3 of which will be red and 1 blue.
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Isaiah is jogging near his college. he runs south along capitol street for about 0.75 miles and east along h street for about 1.2 miles. he then turns left and runs along florida avenue until he reaches his starting point. how long is his total run to the nearest hundredth of a mile? a triangle. the sides are capitol street, h street, and they hypotenuse is florida avenue. 2.89 miles 3.37 miles 3.67 miles 3.92 miles
The total distance he travelled to the nearest hundredth of a mile is; B: 3.37 miles
How to work with Pythagoras Theorem?Let F represents his starting point.
Let C represent his position from where he went to east direction.
Let H represent his position from where he went to left towards Florida Avenue.
We are given that;
FC = 0.75 miles
CH = 1.2 miles
∠FCH = 90°(This can be deduced from the question)
By Pythagoras theorem, we have;
FH = √(0.75² + 1.2²)
FH = 1.42
Thus;
Total distance he covered = FC + CH + FH
Total distance covered = 0.75 + 1.2 + 1.42
Total distance covered = 3.37 miles
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What is the area of parallelogram rstu? 21 square units 24 square units 28 square units 32 square units
The area of the considered parallelogram RTSU is given by: Option A: 21 sq. units
How to find the area of a parallelogram?Area of a parallelogram = (its height × its base) sq. units.
What is the distance between two points ( p,q) and (x,y)?The shortest distance(length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:
[tex]D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units[/tex]
For this case, the missing diagram is attached below.
If we take the base as ST then as ST is parallel to y axis, the line perpendicular to ST would be parallel to x axis. The heigth of a parallogram is the perpendicular distance between its base and top.
The base is ST and top is RU, the line segment US is perpendicular to both RU and US and its length,therefore, will serve as height as its length=perpendicular distance between the base and the top of the parallelogram.
Thus, we get:
Area of RTSU = Length of ST × Length of US
The coordinates of endpoints of ST are (4,-1), (4,-4)
Thus, the length of ST = distance between S and T = [tex]\sqrt{(4-4)^2 + (-1 - (-4))^2 }= 3[/tex]
The coordinates of endpoints of US are (-3,-1), (4,-1)
Thus, the length of US = distance between U and S = [tex]\sqrt{(-3-4)^2 + (-1 - (-1))^2 }= 7[/tex]
Thus, Area of RTSU = Length of ST × Length of US = 3 × 7 = 21 sq. units.
Thus, the area of the considered parallelogram RTSU is given by: Option A: 21 sq. units
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Answer:
21 square units I think
Step-by-step explanation:
A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number greater than 10?
Write your answer as a fraction in the simplest form.
Answer:
Here;
Step-by-step explanation:
The numbers greater than 10 are 11 and 12 on the dice meaning we've got 2 options out of 12.
So, 2/12 gives 1/6 in its simplest form
Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink?
Answer:
12
Step-by-step explanation:
84/7 = 12
Each person will get 12 ounces to drink.
Solve the math problem
Answer:
5
Step-by-step explanation:
slope: increase in y ÷ increase in x
slope: (45-15)÷(9-3)
slope: 30÷6
slope: 5
Which fraction below represents a repeating decimal?
Answer:
22/12
Step-by-step explanation:
i cant figure this problem can you guys help/
Answer:
r = 6.998 in
D = 13.996 in
C = 43.9697 in
Step-by-step explanation:
Area = π[tex]r^2[/tex]
153.86 = π[tex]r^2[/tex]
153.86/π = [tex]r^2[/tex]
sq root(153.86/π) = r ≈ 6.998 in
Diameter = 2r
D = 2(6.998) = 13.996 in
Circumference = 2πr
C = 2π(6.998)
C = 13.996π ≈ 43.9697 in
Hope this helps!
What is the area of this triangle?
1375 ft
1500ft
3300ft
4500ft
Answer:
probably 20 man think about it
Step-by-step explanation:
96 young musicians attended a jazz camp. 30 of them were guitarists. What is the probability that a randomly chosen musician is a guitarist? Write your answer as a fraction or whole number. P(guitarist) =
Answer:
31.25 % or 5/16
Step-by-step explanation:
30 out of 96 chance
30/96 = 31.25%
Answer:The probability that a randomly chosen musician is a guitarist is 30/96.
Step-by-step explanation:
The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle? O2 square feet 04 square feet O 6 square feet O 8 square feet
Answer:
4 square feet
Step-by-step explanation:
hope this helps :)
Find the area of the given triangle. Round your answer to the nearest tenth.
A right triangle with a base of 36. The angle of elevation is 25 degrees.
Group of answer choices
302.2 units squared
1 comma 389.6 units squared
766.6 units squared
Using relations in a right triangle, it is found that it's area is of 302.2 units squared.
What are the relations in a right triangle?The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.In this problem, we have that the opposite side to the angle of 25º is of x, while the adjacent side is of 36, hence:
[tex]\tan{25^\circ} = \frac{x}{36}[/tex]
[tex]x = 36\tan{25^\circ}[/tex]
x = 16.79.
What is the area of a right triangle?It is given by half the multiplication of it's sides, hence:
A = 0.5 x 16.79 x 36 = 302.2 units squared.
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help with number one please
Answer:
The solution to the set of linear equations is:
[tex](5,-4)[/tex]
Step-by-step explanation:
Hey there!
In order to solve this system of equations, we can put the equations equal to each other since both equations are equal to y
[tex]6-2x=-4x+16[/tex]
Now we simplify
[tex]2x=10[/tex] ---> [tex]x=5[/tex]
So now that we know that x is equal to 5, we can find the value of y
let's substitute it in one of the equations
[tex]y=6-2(5)[/tex] ---> [tex]y=-4[/tex]
So now we know that the point where the two equations intersect is:
[tex](5,-4)[/tex]
This is going to be our solution
The graph is in an attachment below
True or False
1. A solution to 8 = -x + 10 is 2
Answer:
TrueStep-by-step explanation:
So, Lets find out if the solution is true or not, So first let us find the value of x.
⇒ 8 = -x + 10
We can rewrite the equation as,
⇒ -x + 10 = 8
Subtracting 10 from both sides we get :
⇒ -x + 10 – 10 = 8 – 10
⇒ -x = -2
Multiplying both sides by (-1) :
⇒ -1(-x) = -1(-2)
⇒ x = 2
Therefore,
The statement "A solution to 8 = -x + 10 is 2" is trueHey ! there
Answer:
TrueStep-by-step explanation:
In this question we are given with an equation that is 8 = -x + 10 and we have also given its solution that is 2 .And We are asked to tell whether the solution of given equation is true or false .
For finding that we must have to solve the equation .
Solution : -
[tex]\longrightarrow \qquad \: 8 = -x + 10[/tex]
Step 1 : Flipping the equation so that there's ease in solving :
[tex] \longrightarrow \qquad \: - x + 10 = 8[/tex]
Step 2 : Subtracting with 10 on both sides :
[tex] \longrightarrow \qquad \: - x + \cancel{10 }- \cancel{ 10} =8 - 10[/tex]
On further calculations , We get :
[tex] \longrightarrow \qquad \: - x = - 2[/tex]
Step 3 : Multiplying with -1 on both sides :
[tex] \longrightarrow \qquad \: - x \times - 1 = - 2 \times - 1[/tex]
We get :
[tex] \longrightarrow \qquad \: \blue{\underline{\boxed{ \frak{x = 2}}}}[/tex]
Therefore , it's TRUE that 2 is the solution of given equation .Alternative Solution : -
There's another easy way to check whether 2 is solution of given equation or not . This is done by substituting value of x that is 2 in given equation that is 8 = -x + 10 . So substituting value of x ( solution ) in given equation :
8 = - ( 2 ) + 108 = -2 + 108 = 8L.H.S = R.H.SAs we can see that left side is equal to right side .
Therefore , it's TRUE that 2 is the solution of given equation .#Keep Learningsomeone please help with this thank you if u can !!
Answer:
10 cubic inch is the volume of container
Please Solve I will give brainliest.
each graph shows a relation. The first and second numbers of each ordered pair in the relation are members of the set of real numbers. find the range and domain of the relation.
Using the domain and range concepts, it is found that:
For the first relation, the domain is [tex]-1 \leq x < 1[/tex], and the range is [tex]-1 \leq y \leq 0[/tex].For the second relation, the domain is [tex]-1 \leq x \leq 1[/tex], and the range is [tex]-1 \leq y \leq 1[/tex].What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In a graph:
The domain is given by the x-values, the horizontal axis.The range is given by the y-values, the vertical axis.Hence:
For the first relation, the domain is [tex]-1 \leq x < 1[/tex], and the range is [tex]-1 \leq y \leq 0[/tex]. The open circle at x = 1 means that x = 1 is not part of the domain, hence we have an open interval.For the second relation, the domain is [tex]-1 \leq x \leq 1[/tex], and the range is [tex]-1 \leq y \leq 1[/tex].More can be learned about domain and range concepts at https://brainly.com/question/27566140
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Mathematics question please help (image)
Answer:
I think the answer is twenve
The complete product is:
3 x 2/3 + 1/5 x 2/332/152 2/15.What is Fraction?Every fraction has a numerator and a denominator separated by a horizontal bar known as the fractional bar.
The denominator represents the number of components into which the whole has been subdivided. It is positioned below the fractional bar in the lower section of the fraction.The numerator specifies how many fractional parts are depicted or selected. It is positioned above the fractional bar in the upper section of the fraction.As, the length of the painted area is 3 1/5 and width of the painted area is 2/3.
So, multiplication of length and width is as follows:
3 1/5 x 2/3
= 3 x 2/3 + 1/5 x 2/3
= 6/3 + 2 / 15
= 30 + 2 / 15
= 32/ 15
= 2 2/15
Thus, the required fraction is 2 2/15.
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What type of number is -4/2
Answer:
It is a negative rational number. This is because it is an improper fraction that is equivalent to -2.
Step-by-step explanation:
The value of the expression
[tex] \frac{a - c}{2} - 2b[/tex]
if a=-5, b=3, c=-1
is equal to?
If the volume of a sphere is 83.5cm3 (cubed) what is the radius??
Answer:
2.71
Step-by-step explanation:
Using this formula: Volume= 4 over 3 * π * r cubed.
then do R=(3V4π)⅓=(3·83.54·π)⅓≈2.71144
2.71144 rounded to the nearest 10 is 2.71
7. What is the area of the white border?
8 cm
2 cm
9 cm
15 cm
What is the area of the white border
Answer:
119 cm^2
Step-by-step explanation:
To find the area of the white border, simply find the area of the outside rectangle and subtract the middle(dark) rectangle's area from that value.
White rectangle: 15x9 = 135
Dark rectangle: 8x2 = 16
135 - 16 = 119 cm^2
The unit is squared when finding the area of a two dimensional figure.
An earned run average (ERA) in baseball is the average number of earned runs a pitcher gives up per 9 innings. One year, a professional baseball pitcher had a 3.91 ERA. His ERA was 0.74 points lower the next year. What is the new ERA?
Applying a subtraction operation, it is found that his new ERA was of 3.17.
What is the relation between his two ERA's, in last year's and this year?ERA is a baseball concept, but understanding of baseball is not relevant to this question.
One year, a professional baseball pitcher had a 3.91 ERA. The next year, it was 0.74 points lower, hence it was given by the subtraction of 3.91 and 0.74, that is:
ERA = 3.91 - 0.74 = 3.17.
His new ERA was of 3.17.
More can be learned about subtraction operations at https://brainly.com/question/2475734
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
9. (1,3); y+2=4(x-1)
Answer:
pretty sure its y = 2x +1
Step-by-step explanation:
write an algebraic expression
Answer:
find the value of 'c' sach that the point (1.5) 2,-3) and(C,7) are colliner?
The Green Bean Coffee Shop sells muffins for $2 each. So far today, they have sold 13 muffins. 1
Part A
Write an equation that represents the amount of money, A, they’ll make if they sell, m, additional muffins today. Answer:
M
Part B
Use the equation you wrote to determine how much money they’ll make if they sell an additional 22 muffins
Answer:
A) $ = 2m + 26
B) $70
Step-by-step explanation:
For a, I know they already sold 13 for $2, meaning they made $26. I know that for each muffin, they will make $2, meaning 2m + 26.
For b, you substitute 22 for m, and solve, getting $70.
Which equation does NOT describe a term in the sequence below:
12,6,3,1.5, ...
a. f(1) = 12
b. [tex]f(n)24(1/2)^x[/tex]
c. f(0) = 12
d. f(5)=0.75