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3 years ago

Find the length of side x in simplest radical form with a rational denominator.

Mathematics

1 answer:

Marina86 [1]3 years ago

4 0

Answer:

x = $\sqrt{3}$ /6

Step-by-step explanation:

30-60-90 triangles have legs in the ratio of 1 : $\sqrt{3}$ : 2

create a proportion: (6 ÷ $\sqrt{3}$ ) = (1÷x)

cross-multiply: 6x = $\sqrt{3}$

divide by 6

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The point P(x, y) lies on the terminal side of an angle a = Ū in standard position. What are the signs of the values of x and y?

Akimi4 [234]

I think the answer is both x and y are positive

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3 years ago

At 82°F, a certain insect chirps at a rate of 61 times per minute, and at 91°F, they chirp 124 times per minute. Write an equati

Ganezh [65]

Answer:

$y=7x-513$

Step-by-step explanation:

Let

x----> the temperature in degrees Fahrenheit

y ---->insect chirping rate in times per minute

we have the ordered pairs

(82,61) and (91,124)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{124-61}{91-82}$

$m=\frac{63}{9}=7$

step 2

Find the equation of the line

we know that

The equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

we have

$m=7$ ---> the units are chirps per minute/degree F

take the point (82,61)

substitute and solve for b

$61=7(82)+b$

$61=574+b$

$b=-513$

substitute

$y=7x-513$

4 0

3 years ago

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shepuryov [24]

55*10/2=275
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3 years ago

Solve 2x - 11 = k for x.

denis23 [38]

2x + -11 = k

Reorder the terms:
-11 + 2x = k

Solving
-11 + 2x = k

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + 2x = 11 + k

Combine like terms: -11 + 11 = 0
0 + 2x = 11 + k
2x = 11 + k

Divide each side by '2'.
x = 5.5 + 0.5k

Simplifying

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3 years ago

The heights of some sunflowers are shown below.

Alexxx [7]

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2 flowers is the answer.

UwU

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3 years ago