Answers
Answer:
57.12 cm²
Step-by-step explanation:
The given dimensions of the hexagon are;
The side length of the hexagon, s = 5 cm
The distance across flats = 8 cm
The distance across corners = 9.28 cm
The area of a regular hexagon, 'A', is given as follows;
[tex]A = \dfrac{3 \cdot \sqrt{3} }{2} \cdot s^2= \dfrac{1}{2} \cdot P \cdot a = 3\cdot s\cdot h[/tex]
Where;
a = The side length of the hexagon
P = The perimeter of the hexagon
h = The height of one of the triangles in the hexagon
However with the given dimensions, the area of the hexagon can be found by finding the sum of the areas of the triangles that make up the rectangle
A₁ = A₃ = A₄ = A₆ = (1/2) × 4.64 cm × 4 cm = 9.28 cm²
A₂ = A₅ = (1/2) × 5 cm × 4 cm = 10 cm₂
The area of the hexagon, A = A₁ + A₃+ A₄ + A₆ + A₂ + A₅ = 4 × A₁ + 2 × A₂
∴ A = 4 × 9.28 cm² + 2 × 10 cm² = 57.12 cm²
2 × (5×4/2 + 2×9.28/4×4) = 57.12 cm²
The area of the hexagon, A = 57.12 cm²
Related Questions
Leonardo put a 600 ring on layaway and putting a 10% down payment to pay $65 a week . How many weeks will it take for him to pay off the ring
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540/65= 8.30
9 weeks
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Answer:
Step-by-step explanation:
Equation of the function is,
f(x) = 2x² + 20x + 54
To convert the function in the form of f(x) = a(x - h)² + k
f(x) = 2(x² + 10x) + 54
= 2[x² + 2(5x) + 25 - 25] + 54
= 2[x² + 2(5x) + 5²] + 54 - 50
= 2(x + 5)² + 4
= 2[(x - (-5)]² + 4
Vertex of the quadratic equation (parabola) will be (-5, 4)
Therefore, f(x) has a minimum value at x = -5,
f(-5) = 4
"The function f(x) has a minimum value of 4, which occurs when x = 5"
8 less then the product of 7 and -3
Answers
Answer:
im not exactly sure what you mean but is it
8 < 4
sorry if this didn't help
Step-by-step explanation:
Answer:
-29
Step-by-step explanation:
7(-3) - 8 = -21 - 8 = -29
Find the volume of a sphere that has a radius of 6 in
Answers
Answer:
volume = 904.78 cubic inch
Step-by-step explanation:
[tex]Volume = \frac{4}{3} \pi r^3 = \frac{4}{3} \pi \times 6 \times 6 \times 6 = 904.78in^3[/tex]
Answer:
904,32 in³
Step-by-step explanation:
The formula for finding the volume of a sphere with given radius is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
You simply substitute r³ with 6³:
[tex]V=\frac{4}{3} \pi 6^3[/tex]
Now you multiply 4/3 * 3,14 (pi) * 216 = 904,32 in³
helppppppp no links or anything, please give the answer
Answers
Answer:
Step-by-step explanation: the answer is x^2+10x+21
3/4 x = -12
Please help
Answers
Answer:
[tex]x = - 16[/tex]
Step-by-step explanation:
Let's solve:
[tex] \frac{3}{4} x = - 12[/tex]
Step 1: Multiply both sides by 4/3.
[tex]( \frac{4}{3} )*( \frac{3}{4} x)=( \frac{4}{3} )*(−12)[/tex]
[tex]x = - 16[/tex]
[tex] \frac{3}{4} x = - 12 \\ \\ = > 3x = - 12 \times 4 \\ \\ = > x = \frac{ \cancel{- 12} \times 4}{ \cancel3} \\ \\ = > x = - 4 \times 4 \\ \\ = > x = 16[/tex]
Hope This Helps You ❤️Mai solved the equation below incorrectly. Identify Mai's error.
5 points
3(x + 4) - 10 = 1/10 (4x + 16)
3x + 12 - 10 = 2x + 8
3x + 2 = 2x + 8
5x + 2 = 8
5x = 6
X = 6/5
Answers
3x+12-10 = 1/10*2 (2x+8)
3x+2 = 1/5* (2x+8)
3x+2 = 2/5x + 8/5
15x+10 = 2x+8
15x-2x=8-10
13x = -2
x = -2/13
She made her mistake when she forgot about the 1/10 and didn’t include it
Let d = cost, in dollars, of 1 hot beverage
3 hot chocolates + 2 lattes + 1 donut = 820.70
3d +20 +0.95 = 20.70
Answers
Answer:
Answer: HC, HT, CT
Step-by-step explanation:
2 !DIFFERENT! DRINKS so it can’t be HH, CC, TT
Step-by-step explanation:
.....
A cone has a height of 17 meters and a radius of 14 meters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answers
Need help with this ASAP
Answers
a = 22 × Cos( 60 )
a = 22 × 1/2
a = 11
Answer:
a = 11
Step-by-step explanation:
[tex]sin 60 = \frac{opposite}{hypotenuse} = \frac{b}{22}\\\\b = 22 \times sin 60 = 19.05[/tex]
[tex]22^2 = a^2 + b^2 \\484 = a^2 + 19.05^2\\a^2 = 484 - 362.9025\\a^2 = 121.0975\\a = \sqrt{121.0975} = 11.004[/tex]
Two weeks ago Mike ran 10 miles for his longest run ever. Yesterday, Mike ran 14 miles for a new personal record. What the the percent change in Mike's long distance runs
Answers
Answer:
40%
Step-by-step explanation:
percent change in Mike's long distance runs = (change in miles ran / initial longest mile ran) x 100
change in miles ran = new personal record - initial personal record
14 - 10 = 4
(4/10) x 100 = 40%
Line joining the non adjacent vertices are called
Answers
Answer:
Diagonal
Step-by-step explanation:
Answer:
edge
Step-by-step explanation:
A connected graph is made up of vertices and edges.
Quinlan pays $178 every 4 months for his guitar lessons. At this rate, how much will Quinlan pay for 3 years of guitar lessons? A $534 B $2,136 C $1,602 D $712. Can you explain how I show my work for it because it's %50 or my grade
Answers
Answer:
c 1602
Step-by-step explanation:
there are 36 months in 3 years but he pays every 4 months so now we do 36/4 to get 9 after we do 178x9 to get 1602
436÷2??? Con paso a paso no entendí y cuáles son los números paresjnbhhvygctfctgcgtvyg ygvybyhhvhvyvgyvchvgvgvgvgvgvggvgvggvygbbhvvvyhhcvuvyhv te fxftgvyy
Answers
Answer:
218
Step-by-step explanation:
436 ÷ 2
Using long division
436/2
4 ÷ 2 = 2
3 ÷ 2 = 1 remainder 1
We combine 1 and 6 together to give us 16
16 ÷ 2 = 8
Therefore, 436 ÷ 2 = 218
Select the correct answer from each drop-down menu.
The values of p from {1, 2, 3, 4, 5, 6, 7, 8, 9} that make 4p − p < 13 true are
. The values of p from the set that make 4p − p > 13 true are
.
Answers
Answer:
p=1, 2, 3
Step-by-step explanation:
p(4-1)<13
p3<13
p<13/4
p<3.25
p=1, 2, 3
Evaluate the following expression if a=3 and b=4.5. 5a-2b=?
Answers
Answer:
6
Step-by-step explanation:
Replace the variables.
5(3) - 2(4.5) = ?
15 - 9 = ?
15 - 9 = 6
HELP PLEASE! WILL GIVE BRAINLIEST!
Answers
Answer:
Exact volume: 804.24772
Approximate volume: 804.248
Step-by-step explanation:
V = 1/3hπr².
can yall help me please
Answers
Answer:
6 feet.
Step-by-step explanation:
You can read this from the graph.
What is the range of the set: 49, 68, 62, 47, 39, 54, 43
Answers
so ... 68 - 39 = 29
The range of the given numbers in the data set is 29.
What is the range of the set?Range is the difference between the highest and lowest values of a set of observations.Range is a measure of variation.
Range = highest value - lowest value
68 - 39 = 29
To learn more about range, please check: https://brainly.com/question/12372689
The volume of a sphere can be given by the formula V = 4.18879r. You have to design a spherical container that will hold
a volume of 55 cubic inches. What should the radius (r) of your container be? Round your final answer the nearest
hundreths place.
Answers
Answer:
2.36 inches
Step-by-step explanation:
V = 4.18879r³
to determine the value of r, make r the subject of the formula in the above equation
∛(V/4.18879) = R
∛(55/4.18879) = r
r = ∛13.130283
r = 2.36 inches
the hundredth is the second number after the decimal place. To convert to the nearest hundredth, look at the number after the hundredth (the thousandth). If the number is greater or equal to 5, add 1 to the hundredth figure. If this is not the case, add zero
A. -9/2
B. 24/4
C. -11.0
D. 1 6/7
Answers
Answer:
I think it's C because it's a whole number while the others are fractions or decimals
hope this helps
have a good day :)
Step-by-step explanation:
Which is the equation for the graph of the limacon curve below?
[-5,5] by [-5,5]
Answers
Answer:
Answer is D.
Step-by-step explanation:
The Equation of the Graph is r= 1 + 3 sinФ .
What is Graph for Polar Coordinates?The three crucial trigonometry ratios on which functions are defined are sine, cosine, and tangent. The graphs for the three trigonometric functions sin, cos, and tan are shown below. In these trigonometry graphs, the y-axis represents the value of the function at each given angle, while the x-axis represents the angle values in radians.
here, we have,
Given:
The Graph for each function is Attaches Below.
The graph represented here shows the function r= 1 + 3 sinФ .
The graph for, r= 1 + 3 cos have the vertical graph.
and, the graph for, r= 2+ 2 sinФ have the Circular graph.
and, the graph for, r= 3 + sinФ have the Circular graph.
Learn more about Graph for Polar Coordinates here:
brainly.com/question/13016730
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which line is parallel to y = 1/2x + 6
and which line is perpendicular to y = 3x - 8
Answers
y = 1/2x + x where x is any real number
y= -1/3 + x where x is any real number
Answer: to make a line parallel to y = 1/2x + 6, just change the y-intercept (6), and to make a perpendicular line to y = 3x - 8, turn the slope (3x) into its opposite (1/3x).
Step-by-step explanation:
A segment has endpoints V and X. What are two names for the segment?
Answers
Given:
A segment has endpoints V and X.
To find:
The two names for the segment.
Solution:
A line segment is a small part of a line and it has two end points. The name of a segment is described by its end points.
For example: If A and B are two and points of a line segment, then the names for the segment are [tex]\overline {AB}[/tex] and [tex]\overline {BA}[/tex].
It is given that the segment has endpoints V and X.
Therefore, the two names for the segment are [tex]\overline {VX}[/tex] and [tex]\overline {XV}[/tex].
What even is this? Solve.
Answers
Answer:
idgi
Step-by-step explanation:
+12 POINTS: EMERGENCY HELP PLEASE 3D TRIGONOMETRY QUESTION THE PIC IS BELOW.
Answers
Answer:
hope this helps you out
it's 21 a or b
you can choose witch one you want to use
Step-by-step explanation:
there is 2 possible answers
What is the mean median and mode of 5%
Answers
The median is middle
The mode is the one that shows up the most
Can you please help me by telling me which one is the answer and how do I solve to get the answer.
Thank you
Answers
( 3x - 12 / 9x^2 ) ÷ ( x - 4 / 3x ) =
( 3x - 12 / 9x^2 ) × ( 3x / x - 4 ) =
( 3 ( x - 4 ) / 3 × 3x × x ) × ( 3x / x - 4 ) =
( x - 4 / 3x × x ) × ( 3x / x - 4 ) =
( x - 4 ) × 3x / ( x - 4 ) × 3x × x =
1 / x
Thus the correct answer is option A .
On a set of blueprints for a new home, the contractor has established a scale that states ½ inch = 10 feet.
If the den has dimensions of 0.6 inch by 0.75 inch on the blueprints, what will be the dimensions of the actual den after the house is built?
*For this answer PLEASE answer with the number of feet by the number of feet
*Example: 16 feet by 20 feet OR 16 ft by 20 ft. You can use a decimal if it terminates
Answers
Answer:
12 ft by 15 ft
Step-by-step explanation:
set up a proportion of inches over feet equals inches over feet:
.5/10 = .6/x
cross-multiply to get:
.5x = 6
x = 12
.5/10 = .75/y
cross-multiply to get:
.5y = 7.5
y = 15