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givi [52]
2 years ago
9

Tom, Sam and Matt are counting drum beats.

Mathematics
1 answer:
Rzqust [24]2 years ago
3 0

Question

Tom, Sam, and Matt are counting drum beats.

Tom hits a drum every 2 beats.

Sam hits a drum every 5 beats.

Matt hits a drum every 8 beats.

Tom, Sam, and Matt start hitting their drums at the same time.

How many beats is it before Tom, Sam, and Matt hit their drums at the same time?

— Need help ASAP, with the explanation to the answer if possible. —

(is this the Question )

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DerKrebs [107]
4[2.5+3(20+7)]=4[2.5+3 \cdot 27]=4[2.5+81]=4 \cdot 83.5=334
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3 years ago
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Given: Circle k(O) Diameter <br><br>XY tangent WZ, XY = 10, and WZ = 12 .Find: YZ
PtichkaEL [24]

Answer:

<h2>Side YZ is 8 units long.</h2>

Step-by-step explanation:

We can deduct form the graph that segment WO is a radius of the circle and XY is its diameters.

By given, we know that XY = 10, which means WO=\frac{XY}{2}=\frac{10}{2}=5, by radius definition.

An important characteristic of tangents about circles is that the tangent is always is perpendicular to the radius, that means \angle OWZ = 90\°\\ and \triangle OWZ is a right triangle, that means we can use Pythagorean's Theorem to find the side YZ.

OZ^{2} =WZ^{2}+OW^{2}

Where OZ is the hypothenuse and WZ , OW are legs of the triangle.

Replacing all given values, we have

OZ^{2}=12^{2}+5^{2}\\OZ=\sqrt{144+25}=\sqrt{169}\\  OZ=13

However, by sum of segments, we have

OZ=OY+YZ, where OY=OW=5 and OZ=13

13=5+YZ\\YZ=13-5\\YZ=8

Therefore, side YZ is 8 units long.

3 0
2 years ago
Identify the domain and range of y = 4x - 5 + 3
Zepler [3.9K]

Answer:

\huge\boxed{\text{Domain:}\ D=\mathbb{R}=(-\infty;\ \infty)}\\\boxed{\text{Range:}\ R=\mathbb{R}=(-\infty;\ \infty)}

Step-by-step explanation:

y = 4x - 5 + 3 = 4x - 2

It's an equation of a line in the slope-intercept form.

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The domain of a linear function is the set of all real numbers.

If a slope of linear function is different than 0, then the range is the set of all real numbers.

5 0
3 years ago
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exis [7]

Answer:

Rational

Step-by-step explanation:

<u>Rational numbers:</u>

Rational numbers are such numbers that can be expressed in the form p/q, where the value of q must not be equivalent to 0.

<u>Irrational numbers:</u>

These numbers cannot be expressed in the form p/q, where the value of q must not be equivalent to 0.                                                                                   <u>                                                         </u>

\implies 2.89 = \dfrac{289}{100} \ \ \text{[In} \  \frac{\text{p}}{\text{q}} \ \text{form (\text{q}} \neq 0)]}

Thus, 2.89 is a rational number.

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