Answers
Answer:
area of hexagon = 600√3 m²
explanation:
apothem² = 20² - 10² = 400 - 100 = 300
apothem of hexagon = √300 = 10√3 m²
area of hexagon = 1/2(6 x 20)(10√3) = 600√3 m²
Answer:
Step-by-step explanation:
One way to find the area of the hexagon is to use the formula [tex]A=\frac{1}{2}ap[/tex], where p is the perimeter and a is the apothem (distance from the center to the midpoint of one side).
The problem says the side length is 20, so the perimeter is 6 x 20 = 120.
The apothem is the distance marked by the dotted line. The rectangles height is [tex]20\sqrt{3}[/tex], so the apothem is half of that, [tex]10\sqrt{3}[/tex].
The area is [tex]\frac{1}{2}\cdot 10\sqrt{3} \cdot 120=600\sqrt{3}[/tex]
Related Questions
Mr. Klein bought 55 Star Wars figurines right after he
saw Star Wars for the first time in 1977. Now, in 2021,
he decides he will add an additional 11 figurines to his
collection each month. The function f(t) = 11t+55
represents the total number of figurines, f(t), Mr. Klein
has in his collection as a function of the number of
months, t.
What is the highest numbers of months that can pass
such that Mr. Klein still has less than 253 figurines in
his collection?
Answers
Answer:
542
Step-by-step explanation:
May the 4th be with you (When it's May 4th lol)
If m
what would be the answer
Answers
A group of friends were working on a student film that had a budget of $900. They used 79% of their budget on equipment. How much money did they spend on equipment?
Answers
Answer:
711
Step-by-step explanation:
They used 79/100 of their money on equipment which means if they have a budget of 900 dollars they used...
900*79/100=9*79=711 dollars on equipment.
Han has 10 cubes, each 5 inches on a side. Find the total volume of Han's cudes Express your answer as an expression using an exponent.
Answers
Answer:
2 * 5⁴
Step-by-step explanation:
Given :
Number of cubes = 10
Side length, a of each cube = 5
The volume of a cube = (side length)³
Hence, the volume of each of Han's cube = 5³
Therefore, the total volume will be :
Volume or cube * number of cubes
5³ * 10
10 = 2 * 5 = 2 * 5¹
5³ * 2 * 5¹
2 * 5^(3 +1)
2 * 5⁴
factorize : 16-(x-3)2
Answers
Answer:
( 1 + x) ( 7 - x)
Step-by-step explanation:
Here's what I did
16 - ( x - 3)^2....expand this
16 - (x² + 6x + 9).....after exanding
16 - 9 + 6x - x²......like terms together
7 + 6x - x² ......rearrange
-x² + 6x + 7......look for the product, sum and factors
( 1 + x) ( 7 - x)
A man sells 8 articles for Rs. 7360 and makes a profit of
15%. Find the gain or loss percent if he sells 13 such
articles for Rs. 11440.
(Ans: 10% gain)
Answers
Answer:
SP of 8 articles =Rs 7360
Profit=15%
Now,
SP of each article =7360/8= Rs920
Wkt,
SP=CP+profit (let CP=x)
920=x+15%of CP
920=x+15÷100× x
920=x+15x÷100
920=(100x+15x)÷100
920=115x÷100
92000=115x
92000÷115=x
Therefore, x=Rs 800
CP=800(i.e Cost price of one article)
Again,
SP of 13 articles=Rs 11440
SP of 1 article=11440÷13=Rs 880
Since,SP>CP
Profit!
Profit=SP-CP
=880-800
=Rs 80
Profit%=profit÷CP×100%
=80÷800×100
=10%
The dishwasher uses 32 gallons of water to wash 4 loads of dishes. How many gallons of water will the dishwater use to wash 10 loads of dishes?
Answers
Answer:
80 gallons
Step-by-step explanation:
32 divided by 4 to get the number of gallons it uses for 1 load of dishes which is 8. 8 multiplied by 10 = 80.
Answer 80 gallons
Step-by-step explanation:
32 divided by 4 equals 8, we have now found the rate of change. We then multiply 10 by 8 because for every load of dish it uses 8 gallons. So that equals 80 gallons.
Put these numbers in order from least to greatest.
Answers
Answer:
Switch the second and third one on what you have now. U r good to go
Step-by-step explanation:
7/25=.28
8/32=.25
Joe has a few choices for
dinner: a hot dog, taco, or
BBQ, with fries or chips. How
many different combinations
are there to choose from?
Answers
Have a nice day
The students put recycling bins for cans and bottles in the cafeteria and teaches lounge. At the end of last week, there was a total of 48.9 pounds of cans and bottles. They split them evenly into 3 bags. How many pounds were in each bag?
Answers
Answer:
16.3
Step-by-step explanation:
There was a total of 48.9 pounds of cans and bottles
They were split evenly in 3 bags
Hence the number of each pounds in the bag can be calculated as follows
= 48.9/3
= 16.3
Hence 16.3 pounds are found in each bags
Below is a diagram of a box shaped in house that contains a cylindrical air conditioning vental conditioning ventis feet long and 3.5 feet in diameter. If the soffit measures 3 by 4 tall by 13 feet longwhat is the volume of the soffit outside of the conditioning vent. Round your answer to the nearest
Answers
Answer:
The answer is 30.9 ft
Step-by-step explanation:
Answer: 30.9
Step-by-step explanation:
math nation told me.
A stick l feet long broken into two parts, one of which is twice as long as the other. How long is the shorter piece? Use algebra
Answers
Answer:
the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long
Step-by-step explanation:
It is given that
The stick is L feet long
And, the two pieces are x and y
Now according to the question
It is given that
one of which is twice as long as the other
so,
x = 2y
x + y = L
Put the value of x in the above equation
So,
2y + y = L
3y = L
Now divide by 3
y = L ÷ 3
Hence, the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long
Answer:
l/3
Step-by-step explanation:
its not one third the answeris the variable L divided by 3
If the circumference of a circle is 44 pi feet, what is the radius?
Answers
hope it helps you friend!!
2r + 1.6b = 10 but r is independent variable
Answers
Answer:
it's either B=6.25-1.25r or it's r=5-0.8b
The ratio of black beads to green beads is 10:3.
If there is 50 black beads, how many green beads
are there?
Answers
Hope this helps
Help I need the answer right quick. Which one????
Answers
Answer:
b i think but y are u looking forward to this
Which property is illustrated?
15 + (5 + 7) = (15 + 5) + 7
plz help i will make the first on to answer with a real answer the brainiest
Answers
Answer:
associative
Step-by-step explanation:
the numbers are switched but they will equal the same thing
PLZ I NEED HELP MEE ASAP:)
Answers
Answer:
Probably have to go with B
Step-by-step explanation:
PRocess of elimination
CD = TU and RS = AB
The rest are incorrect because the lines are not in the same spot
determinar el área de un hexágono que esta inscrito en una circunferencia de 4 unidades de radio
Answers
Answer:
espero y te sirva hay esta todo lo que necesitas
Collect like terms
d+ d +d
Answers
Answer:
[tex]d + d + d \: \: is \: \: a \: \: like \: \: term[/tex]
Answer:
3d
Step-by-step explanation:
In circle R with m∠QRS=30 and QR=17 units, find the length of arc QS. Round to the nearest hundredth.
Answers
Answer:
Length of arc = 8.90 unit (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 17 units
∠QRS = 30°
Find:
Length of arc
Computation:
Length of arc = [θ/360][2πr]
Length of arc = [30/360][2(22/7)(17)]
Length of arc = [1/12][2(3.14)(17)]
Length of arc = [0.0833][3.14(34)]
Length of arc = [0.0833][106.76]
Length of arc = 8.8963
Length of arc = 8.90 unit (Approx.)
Area of part of a circles
Answers
Answer:
56.55 or 18pi
Step-by-step explanation:
Pi time radius squared divided by two
I need answer rn, Which is the best estimate
Answers
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answers
Answer:
cStep-by-step explanation:
please brainleist please tysm☺️☺️☺️☺️☺️❤❤❤❤❤☻☻☻☻☻
find the value of x +65+115+115
Answers
Answer:
65
Step-by-step explanation:
65 because they alternate
AB=BA
65=115
115=65
idrk if tht makes sense tho lol
May someone please help me with this:)
Answers
v= 480 cm cubed
PLZ HELP ME
If m<7=62 find m<1.
Answers
Answer:
m<1 =118 ~trust me I just finished this section
I can’t tell if 3 is a dilation or not!
Answers
Answer:
No, its not
Step-by-step explanation:
The points of the image are not moved away from the center of dilation proportionally. I don't think anyway.
Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees. What is the measure of arc Q R? 26° 52° 104° 128°
Answers
Answer:
104 degrees'
Step-by-step explanation:
Find the diagram attached
According to the theorem;
Angle at the vertex is half the angle at its intercepted arc
Given
Angle at the vertex = 52 degrees
Angle at the intercepted arc = arc QR
Hence;
52 = 1/2 arcQR
Cross multiply
52 * 2 = arcQR
104 = arc QR
Swap
arc QR = 104 degrees'
Answer:
C)104
Step-by-step explanation:
edg 2021
Pls help, question on picture, will do brainliest if right
no links!!!!!
Answers
Answer:
[tex]tan(\theta) = \frac{3}{4}[/tex]
Step-by-step explanation:
Remember the trigonometric ratios, keep in mind that the way the side is referred to is based on its position relative to the angle getting referenced. The side next to the referenced angle ([tex]\theta[/tex]) is called the adjacent side, the one opposite the angle is called the opposite side, and the side opposite the right angle of the triangle is called the hypotenuse.
[tex]sin (sine) = \frac{opposite}{hypotenuse}\\\\cos (cosine) = \frac{adjacent}{hypotenuse}\\\\tan(tangent) = \frac{opposite}{adjacent}[/tex]
In this problem, one is asked to find the value of ([tex]\theta[/tex]) with regards to a trigonometric function. One is given the opposite and adjacent sides, it would make the most sense to use the trigonometric function (tangent). Substitute the sides into their respective place, and simplify to find the value of the trigonometric function.
[tex]tan(\theta) =\frac{15}{20}\\\\\\tan(\theta)=\frac{3}{4}[/tex]