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2 years ago

Decide whether each expression is equivalent to 0.75t-21. 3/4t-21 3/4( t-21) 0.75( t-28) t-0.25t-21. Explain how you know

Mathematics

1 answer:

butalik [34]2 years ago

6 0

Answer: expression 1,3 and 4 are equivalent to 0.75t-21.

Step-by-step explanation:

Expression 1

3/4t-21

= 0.75t - 21

Expression 2

3/4( t-21)

Multiply through by 0.75

= 0.75 ( t - 21 )

= 0.75t - 15.75

Expression 3

0.75( t-28)

Multiply through by 0.75

= 0.75t - 21

Expression 4

t-0.25t-21

let t = 1

1-0.25t - 21

= 0.75t - 21

expression 1,3 and 4 are equivalent to 0.75t-21.

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2 years ago

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From a point A that is 8.20 m above level ground, the angle of elevation of the top of a building s 31 deg 20 min and the angle

Mariulka [41]

Answer:

30.11 meters ( approx )

Step-by-step explanation:

Let x be the distance of a point P ( lies on the building ) from the top of the building such that AP is perpendicular to the building and y be the distance of the building from point A, ( shown in the below diagram )

Given,

Point A is 8.20 m above level ground,

So, the height of the building = ( x + 8.20 ) meters,

Now, 1 degree = 60 minutes,

⇒ $1\text{ minute } =\frac{1}{60}\text{ degree }$

$20\text{ minutes }=\frac{20}{60}=\frac{1}{3}\text{ degree}$

$50\text{ minutes }=\frac{50}{60}=\frac{5}{6}\text{ degree}$

By the below diagram,

$tan ( 12^{\circ} 50') = \frac{8.20}{y}$

$tan(12+\frac{5}{6})^{\circ}=\frac{8.20}{y}$

$tan (\frac{77}{6})^{\circ}=\frac{8.20}{y}$

$\implies y=\frac{8.20}{tan (\frac{77}{6})^{\circ}}$

Now, again by the below diagram,

$tan (31^{\circ}20')=\frac{x}{y}$

$tan(31+\frac{1}{3})=\frac{x}{y}$

$\implies x=y\times tan(\frac{94}{3})=\frac{8.20}{tan (\frac{77}{6})^{\circ}}\times tan(\frac{94}{3})^{\circ}=21.9142943216\approx 21.91$

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3 years ago

What is the ratio for each one?

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3 years ago

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3 years ago

a certain virus infects one in every 600 people. a test used to detect the virus in a person is positive 90% of the time if the

Alona [7]

the probability that a person has the virus given that they have tested positive is 0.0151.
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Probability is the department of mathematics regarding numerical descriptions of ways likely an occasion is to occur, or how possibly it's far that a proposition is genuine. The possibility of an occasion varies between zero and 1, wherein, roughly speaking, 0 suggests the impossibility of the occasion and 1 shows certainty. The better the possibility of an event, the more likely it is that the event will arise.

A simple instance is the tossing of an honest (unbiased) coin. since the coin is truthful, the 2 results ("heads" and "tails") are both equally likely; the possibility of "heads" equals the chance of "tails"; and considering the fact that no different results are feasible, the possibility of both "heads" or "tails" is 1/2 (that could additionally be written as 0.5 or 50%).

To learn more about Probability visit here:

brainly.com/question/11234923

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1 year ago