Geoff uses hexagonal tiles to create a tessellation pattern in his garden, as pictured below. What is the area of each tile?5.4 in.
A
about 32 in 2
B. about 76 in 2
about 180 in 2
D
about 64 in 2

Answers

Answer 1
Answer:

Answer:

B. about 76 in 2

Step-by-step explanation:

The picture of the question in the attached figure

I will assume that the tile is a regular hexagon

The area of the regular hexagon is equal to the area of six congruent equilateral triangles

Applying the law of sines to calculate the area of triangle

Remember that the measure of the interior angle in a equilateral triangle is 60 degrees

so

A=6[(1)/(2) b^2sin(60^o)]

b=5.4\ in

substitute

A=6[(1)/(2) (5.4)^2sin(60^o)]=75.76\ in^2

therefore

The area of each tile is about 76 square inches


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There are 5280 feet in a mile. What fraction of a mile is represented by2640 feet

Answers

Answer:

264/528

132/264

66/132

33/66

11/22

1/2




Use any method to solve the equation.if necessary, round to the nearest hundredth. 8x^2-48=0

Answers

Answer:

x = ± 2.45

Step-by-step explanation:

Given

8x² - 48 = 0 ( add 48 to both sides )

8x² = 48 ( divide both sides by 8 )

x² = 6 ( take the square root of both sides )

x = ± √(6) = ± 2.45 ( nearest hundredth )

What percent of 64 is 24?

Answers

24 = x% * 64

24 = x/100 * 64

Multiply 100 on both sides.

2400 = x * 64

64x = 2400

Divide 64 on both sides.

x = 2400/64

x = 37.5


37.5 percent of 64 is 24.

The percentage of 64 that result to 24 is 37.5%

How to determine the percentage?

The following data were obtained from the question:

  • Total number = 64
  • Number obtained = 24
  • Percentage (y) =?

The percentage of 64 that result to 24 can be obtained as illustrated below:

Number obtained = percentage × total number

24 = y% × 64

Divide both sides by 64

24 / 64 = y%

Multiply through by 100

y = (24 / 64)  × 100

= 37.5%

Thus, we can conclude that the percentage of 64 that is 24 is 37.5%

Learn more about percentage:

brainly.com/question/884953

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Fold the slope 2x+y=10

Answers

Answer:

2

Step-by-step explanation:

slope=m

mx+y=10

2x+y=10

How do you find the slope of the line 2x+y=10?

Change the equation to slope-intercept form, y=mx+b , where m is the slope and b is the y-intercept.

2x+y=10 Subtract 2x from both sides.

y=−2x+10 The slope is −2 .

-2 is the naswer hope this helped (negative 2)

An artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. The width of the lake is 1/5 the length of the lake. What are the dimensions of the lake?

Answers


We know that the area of a rectangle can be written as: length x width

so:

l x (1/5) = 9/20

9/20 x 5/1 = 45/20, which can be reduced to 9/4

So the length is 9/4 miles

1) While your family is visiting Deep Creek Lake, you and your brother decide to go boating. Thepark rangers require a $25.00 down payment to rent a canoe and a rental fee of $10.00 per hour.

a) Write a linear function to model this scenario.

Answers

Answer:

Y=10x+25

Step-by-step explanation:

Hey so let’s take the number of hours we go boating as “x” and the TOTAL cost of this whole trip as “y”.

So obviously y would equal everything else so we can write

Y=

Next, it says we rent a canoe for $10 an hour. That means we would have to multiply 10 and x to find the cost of the rent.

So

Y=10x

Finally, it says we paid a registration fee of $25. This 25 is not affected by the number of hours or anything else. It is a fixed amount so we can represent it as

Y=10x+25

Hope this helps!