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3 years ago

Which number below is not a rational number? * 325 -45 0 Square root of 3

Mathematics

1 answer:

Marysya12 [62]3 years ago

5 0

Square root of 3 is not rational, it is an irrational number

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A communications tower is supported by two wires, connected at the same point on the ground. One is attached to the tower at D a

viktelen [127]

Answer:

10.99 m

Step-by-step explanation:

✍️What we are basically asked to solve here is to find the distance between C and D.

To find CD, find the length of BC, and BD. Their difference will give us CD.

Thus, BC - BD = CD.

✍️Finding BC using trigonometric ratio formula:

$\theta = 30 + 10 = 40$

Opposite side = BC = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(40) = \frac{BC}{42}$

Multiply both sides by 42

$tan(40) \times 42 = \frac{BC}{42} \times 42$

$35.24 = BC$

BC = 35.24 m

✍️Finding BD using trigonometric ratio formula:

$\theta = 30$

Opposite side = BD = ??

Adjacent side = 42 m

Thus:

$tan(\theta) = \frac{opposite}{adjacent}$

Plug in the values

$tan(30) = \frac{BD}{42}$

Multiply both sides by 42

$tan(30) \times 42 = \frac{BD}{42} \times 42$

$24.25 = BD$

BD = 24.25 m

✍️How much below the top of the tower is the shorter one attached:

Thus,

BC - BD = CD

35.24 m - 24.25 m = 10.99 m

7 0

3 years ago

Translate the given phrase to an expression. Subtract 2/7 from 25/28. Do not simplify

erastova [34]

25/28 - 2/7
it doesn’t need to be solved because it asked for an expression and not an equation, so no equal sign either

6 0

3 years ago

Read 2 more answers

Find the difference: 7 7/8 - 3 1/4=?*

sveticcg [70]

4 5/8
4 1/8
20 1/2
4 3/8
0.25 or 16

6 0

3 years ago

What is the value of p2 + r3, when p = 2 & r = 3?

Lilit [14]

answer is 13

I hope it helpful

7 0

3 years ago

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Simplify the following expression (3x^2y)^3

kolezko [41]

Answer:

$\large\boxed{\left(3x^2y\right)^3=27x^6y^3}$

Step-by-step explanation:

$\text{Use}\ (ab)^n=a^nb^n\ \text{and}\ (a^n)^m=a^{nm}\\\\\left(3x^2y\right)^3=3^3(x^2)^3y^3=27x^6y^3$

6 0

3 years ago