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2 years ago

The triangle below is equilateral. Find the length of side x in simplest radical form with a rational denominator.

Mathematics

1 answer:

VMariaS [17]2 years ago

8 0

Answer:

x = 8

Step-by-step explanation:

If a triangle is equilateral, each vertex has an angle that is equal to 60 degrees

As we can see, we have two sets of similar right triangles

The value x faces the right angle and that makes it the hypotenuse

Also, the side measure 4 is the adjacent side to the angle 60

The trigonometric identity that relates the hypotenuse and the adjacent is the cosine

it is the ratio of the adjacent to the hypotenuse

Mathematically;

cos 60 = 4/x

x = 4/cos 60

x = 8

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The graph of an equation with a negative discriminant always has which characteristic?<br>

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Answer:

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Step-by-step explanation:

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3 years ago

Convert 1/15 into a decimal correct to 2 decimal places

Citrus2011 [14]

Answer:

$\frac{1}{15} = 0.\overline{66}$

Step-by-step explanation:

We proceed to show the procedure to calculate the given fraction into a decimal form:

1) Since numerator is less than denominator, the integer component of the decimal number is zero:

$\frac{1}{15} = 0.xx$

2) We multiply the numerator by 10 and find the tenth digit:

$\frac{10}{15} = 0$

Then,

$\frac{1}{15} = 0.0xx$

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

$\frac{100}{15} = 6$

Then,

$\frac{1}{15} = 0.66x$

And the remainder is:

$r = 100-15\times 6$

$r = 10$

4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

$\frac{100}{15} = 6$

Then,

$\frac{1}{15} = 0.666$

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:

$\frac{1}{15} = 0.\overline{66}$

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2 years ago

Geometry !!! Pls help it’s timed!!

DENIUS [597]

Answer:

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2 years ago

Which of the following best defines 3 to the power of 2 over 3?

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2 years ago

Read 2 more answers

Write the first five terms of a geometric sequence in which the sixth term is 64.

azamat

Answer:

1st term : 2

2nd term : 4

3rd term: 8

4th term : 16

5th term : 32

Step-by-step explanation:

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2 years ago