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3 years ago

A regular hexagon is shown.

Mathematics

2 answers:

babymother [125]3 years ago

6 0

Answer:

14 in.

Step-by-step explanation:

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

now as we know that the triangle that is formed has a right angle of 90 degrees, and two other angles that are 30 and 60 degrees.

We can know this by the properties of the hexagons

hexagon is formed by 6 equilateral triangles

equilateral triangles have 3 angles of 60 degrees

the triangle of the image is half of one of those triangles so it will have the upper angle of 30 and the other of 60

Now if we take the angle of 30 degrees and apply the following formula

sin α = o/h

cos 30 = a/h

0.866 = 12/h

h = 12/0.866

h = 13.8564

h = c

the nearest number is 14

slamgirl [31]3 years ago

4 0

Answer:14in on edg.

Step-by-step explanation:

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The length of the base of a triangle is twice its height. if the area of the triangle is 121 square kilometers, find the height

mariarad [96]

B = 2h

Area = 121
1/2 × b × h = 121
1/2 × 2h × h = 121
h × h = 121
h^2 = 121
h = square root of 121
h = 11

The height is 11 kilometers

3 0

3 years ago

Solve the following system of equations. Enter the x-coordinate of the solution. Round your answer to the nearest tenth. 5x+2y=2

fenix001 [56]

X=63/17 0r 3.7 rjhqhg ccfnmfbb c

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4 years ago

Read 2 more answers

Evaluate the expression 15x + 4 for x = -1 1/2

olga_2 [115]

Answer:

18.5

Step-by-step explanation:

First we plug in the number

-1 1/2 is the same as -1.5

Plugging this in we will have:

15(-1.5) + 4 =

-22.5 + 4 =

-18.5

5 0

3 years ago

Tell whether a triangle can have sides with the

Dmitry [639]

Answer:

$3x+2 \ne x^2 \ne 2x$ for $x = 4$

Step-by-step explanation:

Given

Shape: Triangle

Dimension: 3x + 2, x^2 and 2x

$x = 4$

Required

Determine if it has equal sides

To do this, we simply substitute 4 for x in the given dimensions

3x + 2

$3x + 2 = 3 * 4 + 2$

$3x + 2 = 12 + 2$

$3x + 2 = 14$

x^2

$x^2 = 4^2$

$x^2 = 16$

2x

$2x = 2 * 4$

$2x = 8$

$3x+2 \ne x^2 \ne 2x$ for $x = 4$

8 0

3 years ago

The future value of a certain money market account with a fixed interest rate of

rosijanka [135]

Answer:

D = $8637.45

Step-by-step explanation:

Rate = 3.65% = 0.0365

Principal = 5000

Time (t) = 15 years

N = 12 (since its compounded monthly)

Compound interest (A) = P(1 + r/n)^nt

A = 5000(1 + 0.0365 / 12)^15*12

A = 5000(1 + 0.00304)¹⁸⁰

A = 5000(1.00304)¹⁸⁰

A = 5000 * 1.7269

A = 8634.86

The investment would worth $8634.86

Note: the final answer may vary slightly from the answer in the options due to ± from approximation

3 0

3 years ago