A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.
What is the area of the hexagonal floor tile?

Enter your answer as a decimal to the nearest hundredth.
area = cm2

Answers

Answer 1

Answer:

Area of regular hexagon[tex] \approx 41.57 \: {cm}^{2} [/tex]

Step-by-step explanation:

Area of regular hexagon

[tex] = 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2} [/tex]

Answer 2

Answer:

41.57

Step-by-step explanation:

took the test


Related Questions

Daniel is baking a cake for Aaron's birthday. The recipe requires 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder. What is the total amount of ingredients in cups if Daniel makes the cake twice as large as the recipe calls for?

Answers

Answer

4 6/12 or 2 3/4 cups of total ingredients

Step-by-step explanation:

There are 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder.

You'd want to make the denominators the same numbers so it would be easier to divide.

So I multiplied 2 1/2 times 3, 1/3 times 2, and 1/2 times 3.

Then all the numbers would have a denominator of 6. Don't multiply the whole numbers or the numerators. Just the denominator.

''THE NUMBERS'' would change to 2 1/6, 1/6, and 1/6.

If I were to add that it would be 2 3/6.

BUT, You need to multiply by 2 after because it says in the question "How many ingredients in cups will Daniel make the cake twice as large".

What is 2 3/6 times 2 =  4 6/12 total.

If it says to simplify the answer. It would be "'2 3/4 total'' or both answers are correct

Make t the subject of 5(t − g) = 2t + 7

Answers

Answer:

[tex]5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3} [/tex]

Samuel needs 233 feet of wood to build a fence.The wood comes in lengths of 11 feet. How many prices will samuel need to buy?

Answers

Answer:

21 pieces

Step-by-step explanation:

Given that,

Length of wood needed = 233 feet

The wood comes in lengths of 11 feet.

We need to find the number of pieces samuel need to buy. It can be done as follows :

Let he needed x peices. So

[tex]x=\dfrac{233}{11}\\\\x=21.18\\\\or\\\\x=21[/tex]

So, he will need approx 21 peices.

PLZ HELP I WILL GIVE BRAINIEST TO BEST ANSWERS!!!!

Answers

Answer:

Answers are all in pictures.

Divide top by bottom to see them in fractions

A ladder is 51 inches tall. How tall is it in feet and inches?

Answers

Answer:

4 feet and 3 inches

Step-by-step explanation:

The measure of ladder in feet is 4.15.

Given that, a ladder is 51 inches tall.

Metric Conversion refers to the conversion of the given units to desired units for any quantity to be measured.

We know that, 1 feet = 12 inches

So, in inches = 51/12

= 4.25 feet

Therefore, the measure of ladder in feet is 4.15.

To learn more about the metric conversion visit:

brainly.com/question/21244256.

#SPJ6

Find the oth term of the geometric sequence 9, -27, 81, ...

Answers

It would b 9 x (-3^(x-1))

Evaluate 7d, when d = 9 please!

Answers

Answer:

63

Step-by-step explanation:

When d=9, the equation should be 7 times 9 because you need to plug 9 in. Therefore, 7 times 9 is 63! I hope that helps!

Which of the following expressions also
show the total area of the two rooms?
Choose ALL that apply.
8.3 +8.6
6(3+8)
6.3 + 6.8
8(3+6)

Answers

Answer:

6(3+8)

Step-by-step explanation:

6(3+8)= 6×3+6×8=18+48

this is the given value of A

The correct expressions for total area = 6x3 + 6x8 or 6(3+8)

What is rectangle?

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

In the given figure,

Area of one room = 18 square feet

Area of second room = 48 square feet

Now since we can see that,

the width of both rooms is same,

therefore,

we have 6 as common factor of 18 and 48

As, 18 = 6x3

      48 = 6x8

Total are of the given figure = 18 + 48

Since we know that,

Area of rectangle = length x width

Therefore,

area of both rooms  = 18 + 48

                                 = 6x3 + 6x8

                                 = 6(3+8)

Hence,

The rooms total area of both rooms = 6x3 + 6x8 or 6(3+8)

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ2

8 + 10 - 2 / 2
Order of operation how to do it

Answers

Answer:

17

Step-by-step explanation:

Order of operations are..

Parentheses ()

Exponents 10^2

Multiply *

Division /

Addition +

Subtraction -

8+10-2/2

first you would do -2/2=-1

then your problem is 8+10-1

8+10=18-1=17

-1/4n-7<5

Answers:
-48
-20
0
20
48

Answers

Answer: -1/4n-7<5 = -48

Division sum:
20 ➗ 2 =

Answers

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

20/2 = 10

solve for x , (2x-1)=5(x+1)

no links​

Answers

Answer:

x = -2

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

(2x-1)= 5(x+1)

2x - 1 = 5x + 5

-2x -2x

- 1 = 3x + 5

-5 -5

-6 = 3x

-6/3= 3x/3

-2= x

HELP SISJSJSJ BRAINLIEST

Answers

Answer: 100 miles

Step-by-step explanation:

plug in 2 for h and multiply

50 by 2=100

Answer:

this looks hard i just need pints so that i can ask my question

Step-by-step explanation:

Find the zeroes of the quadratic polynomial 4x²-4x+1 and verify the relation between its zeroes and coefficients

Answers

Answer:

A) zeros are x = ½ or x = ½

B) >> sum of zeros = (-Coefficient of x)/(Coefficient of x²)

>> Product of the zeros = Constant term/Coefficient of x²

Step-by-step explanation:

To find the zeros, we will equate the polynomial to zero.

Thus;

4x² - 4x + 1 = 0

Using quadratic equation, we can find the zeros.

x = [-(-4) ± √((-4)² - (4 × 4 × 1))]/(2 × 4)

x = (4 ± 0)/8

x = 4/8 and x = 4/8

Thus, zeros are x = ½ or x = ½

Now, to find the relationships between its zeroes and coefficients;

Sum of zeroes = ½ + ½ = 1

This is equal to -b/a = -(-4)/4 = 1.

Thus;

sum of zeros = (-Coefficient of x)/(Coefficient of x²)

Product of zeros = ½ × ½ = ¼

c/a = 1/4

This is equal to the product of the zeros.

Thus;

Product of the zeros = Constant term/Coefficient of x²

can someone plz help me and answer in the comment section https://brainly.com/question/22652599

Answers

Answer:

3rd on 6 feet

Step-by-step explanation:

Factor the GCF: −12x3y5 − 9x2y2 + 12xy3 (10 points)

−3(4x3y5 + 3x2y2 − 4xy3)
−3xy2(4x2y3 + 3x − 4y)
−3xy2(4x2y3 − 3x + 4y)
3xy2(−4x2y3 − 3x + 4y)

Answers

The answer should be -3xy^2 (4x^2y^3 + 3x - 4y)

4) Ari can swim 2 laps per minute. Which equation represents the number of laps,
n, that Ari travels in m minutes?
a n = 2m
b. m = 2n
c. n = 2 +m
d. n = 2 divided by m

Answers

It’s a, n=2m. ||||||||||||||||||||

Oak Street and Elm Street run parallel to each other.
When Main Street
intersects them, it forms exterior Z8, measuring 60°.
What is the measure of
22?

Answers

120 degrees because all angles have to add up to 360

I don't have much but 25 points and brainliest pls :/
AAA someone help me pls :<

Solve the equation for x.
x² = 25/289
The solution of the equation is x = ?

I appreciate you :')

Answers

Answer:

x = −5.5 i think

Step-by-step explanation:

Good Luck!

An equilateral triangle with side length 9 cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

The answer is 35.1 cm².

Hope this helps; have a great day!

Question:-

Find the area of an equilateral triangle with side length = 9cm correct upto one decimal place.

_______________________________________________

Solution:-

In an equilateral triangle all sides are equal.

Let s = side length = 9 cm

Then, area of equilateral triangle is given as:

A = (√3/4)s²

Putting the value of s here,

A = (√3/4) * (9 cm)²

=> A = (√3/4) * 81 cm²

=> A = √3 * 20.25 cm²

We know that, √3 = 1.732

=> A = 1.732 * 20.25 cm²

=> A = 35.073 cm²

Rounding to one decimal place,

=> A = 35.1 cm²

_______________________________________________

lol, I'm just kinda slow.

Answers

Answer:

understandable

Step-by-step explanation:

What is the area of a rectangle? Pls help and I will mark brainliest!

Answers

Answer:

A. 168 units²

Step-by-step explanation:

Find the missing side of the rectangle, use Pythagorean:

b² = 25² - 7² = 576b = √576 = 24 units

Find area of rectangle:

A = abA = 7*24 = 168 units²

Correct choice is A

need helppp
What shape(s) have congruent diagonals?
** You may have more than one correct
answer!
****
Square
Trapezoid
Rhombus
Rectangle
Kite

Answers

Answer:

Step-by-step explanation:

A B

definition of a parallelogram a quadrilateral with both pairs of opposite sides parallel

five properties/theorems for parallelograms opposite sides are parallel, diagonals bisect each other, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary

definition of a rectangle a quadrilateral with four right angles

rectangle theorems if a parallelogram is a rectangle, then its diagonals are congruent; if the diagonals of a parallelogram are congruent, then the paralellogram is a rectangle

five properties of a rectangle opposite sides are congruent and parallel; opposite angles are congruent; consecutive angles are supplementary; diagonals are congruent and bisect each other; all four angles are right angles

definition of a rhombus a quadrilateral with four congruent sides

rhombus theroems the diagonals of a rhombus are perpendicular; if the diagonals of a parallelogram are perpendicular, then the paralellogram is a rhombus; each diagonal of a rhombus bisects a pair of opposite angles

properties of a rhombus all parallelogram properties apply; all four sides are congruent; diagonals are perpendicular; the diagonals bisect opposite angles

definition of a square a quadrilateral with four right angles and four congruent sides

properties of a square the properties of a rectangle plus the properties of a rhombus; four right angles; all four sides are congruent

definition of a trapezoid a quadrilateral with exactly one pair of parallel sides

definition of an isosceles trapezoid a trapezoid with the legs congruent

isosceles trapezoid theroems both pairs of base angles are congruent; the diagonals are congruent

trapezoid median theorem the median of a trapezoid is parallel to the bases and its measure is one-half the sum of the measures of the bases, or median=1/2(x+y)

in these quadrilaterals, the diagonals bisect each other paralellogram, rectangle, rhombus, square

in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid

in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square

in these quadrilaterals, the diagonals are perpendicular rhombus, square

a rhombus is always a... parallelogram

a square is always a... parallelogram, rhombus, and rectangle

a rectangle is always a... parallelogram

a square is never a... trapezoid, because trapezoids only have one pair of parallel sides

a trapezoid is never a... parallelogram, rhombus, rectangle, or square, because trapezoids only have one pair of parallel sides

these quadrilaterals always have all four congruent sides rhombus, square

these quadrilaterals always have all four right angles rectangle, square

these quadrilaterals always have perpendicular diagonals rhombus, square

if you divide a square into four right triangles by drawing its two diagonals, the measure of each of the angles in the triangles that is not a right angle is... 45 degrees

the diagonals of a rhombus... are not always congruent, but they are always perpendicular and they do always bisect each other, and they do always bisect the pairs of opposite angles

the diagonals of a rectangle... are not always perpendicular, but they are always congruent and they always bisect each other

the diagonals of a parallelogram... always bisect each other

Answer:

squares, rectangles, trapeziods (only if isoceles)

Step-by-step explanation:

Squares are rectangles and rectangles always will have diagonals that are congruent. Trapezoids, if isoceles, will have congruent diagonals.

solve for x in a triangle. Round your answer to the nearest hundredth

Answers

16cos(28). Type that in like last time.

Help plz :)


Determine the measure of each unknown angle using the diagram.

Answers

a. m2 = 74°
b. m3 = 74°
c. m4 = 106°

:)

5 daños colaterales de los avances medicos​

Answers

Answer:

1. Dosis de la vacuna de Oxford

Step-by-step explanation:

Which expression is a cube root of -1 + i sqrt 3

Answers

Answer:

c

Step-by-step explanation:

Answer:

I think A or C

Step-by-step explanation: hope this was helpful

A balance scale shows that 12 + 5 = 17. If five units are removed from one side, what needs to be done to the other side to keep the scale in balance?

Answers

You would need to add 5 to the opposite side so the balance scale stays 17.

A gardener needs to move 2,782 pounds of dirt. He can carry 96 pounds in his wheelbarrow. How many trips will he need to make with the wheelbarrow?

Answers

Answer:

28.9

Step-by-step explanation:

2782 divied by 96 gives you 28.9.

What is the distance between points S and U if S is 2, 1 and U is 6, 8

Round to the nearest tenth of a unit.


A. 3.3 units

B. 6.4 units

C. 8.1 units

D. 12.0 units

Answers

The distance formula is:

D = sqrt((x2-x1)^2 + (y2-y1)^2)

D= sqrt ((6-2)^2 + (8-1)^2)

D = sqrt(4^2 + 7^2)

D = sqrt( 16 + 49)

D = sqrt(65)

D = 8.06

Rounded to the beat tenth = 8.1 units.

The answer is C. 8.1 units

Answer:

C

Step-by-step explanation:

S has coordinates (2 , 1) and U has coordinates (6, 8) . Computing the SU vector gives us (4 , 7)

taking the distance formula : sqrt(4^2 +7^2)

= sqrt(65) = 8.1 which is answer C

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