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3 years ago

What's 2.537 rounded to the nearest hundred?

Mathematics

2 answers:

Harrizon [31]3 years ago

8 0

Answer:

2.54

Step-by-step explanation:

Find the number in the hundredth place 33 and look one place to the right for the rounding digit 77. Round up if this number is greater than or equal to 55 and round down if it is less than 55.

Mnenie [13.5K]3 years ago

4 0

Answer: 2.54

Step-by-step explanation:

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An athlete earns $350,000 each year. If his team makes the play-offs, he will earn a 15% bonus. What will be his total earnings

Andrews [41]

He will earn $402,500 $350,000 plus a 15% bonus of $52,500

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3 years ago

Which expression is equivalent to x 2 - 17x - 60?

creativ13 [48]

Answer:

(x-20)(x+3)

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Find the volume of th] cylinder. Round your answer to the nearest tenth if necessary. Use 3.14 for 1.

spayn [35]

Answer:197.8

The formula for a cylinder is 3.14*r^2*h but if you don't round to the nearest tenth the the answer is 197.82034.

Step-by-step explanation:Step one mutiply 3^2=9, Step two mutiply 3.14*

9=28.26, Step three mutiply 28.26*7=197.82.But if you round 197.82034 to the nearest tenth which is moving one decimal place to the right you'll will get 197.8.

6 0

2 years ago

There are 130 people in a sport centre. 73 people use the gym. 62 people use the swimming pool. 58 people use the track. 22 peop

Delvig [45]

Answer:

$\frac{11}{87}$

Step-by-step explanation:

Total number of people = 130

Number of people who use the gym = 73

Number of people who use the pool = 62

Number of people who use the track = 58

Number of people who use the gym and the pool = 22

Number of people who use the pool and the track = 29

Number of people who use the gym and the track = 25

Number of people who use all three facilities = 11

Total number of people who use at least two facilities = 22 + 29 + 25 + 11 = 87

The probability that the randomly selected person uses all three facilities = number of those who use all three facilities ÷ total number of people who use at least two facilities.

==> 11 ÷ 87

==> $\frac{11}{87}$

3 0

2 years ago

Show tan(???? − ????) = tan(????)−tan(????) / 1+tan(????) tan(????)<br> .

anyanavicka [17]

Answer:

See the proof below

Step-by-step explanation:

For this case we need to proof the following identity:

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

We need to begin with the definition of tangent:

$tan (x) =\frac{sin(x)}{cos(x)}$

So we can replace into our formula and we got:

$tan(x-y) = \frac{sin(x-y)}{cos(x-y)}$ (1)

We have the following identities useful for this case:

$sin(a-b) = sin(a) cos(b) - sin(b) cos(a)$

$cos(a-b) = cos(a) cos(b) + sin (a) sin(b)$

If we apply the identities into our equation (1) we got:

$tan(x-y) = \frac{sin(x) cos(y) - sin(y) cos(x)}{sin(x) sin(y) + cos(x) cos(y)}$ (2)

Now we can divide the numerator and denominato from expression (2) by $\frac{1}{cos(x) cos(y)}$ and we got this:

$tan(x-y) = \frac{\frac{sin(x) cos(y)}{cos(x) cos(y)} - \frac{sin(y) cos(x)}{cos(x) cos(y)}}{\frac{sin(x) sin(y)}{cos(x) cos(y)} +\frac{cos(x) cos(y)}{cos(x) cos(y)}}$

And simplifying we got:

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

And this identity is satisfied for all:

$(x-y) \neq \frac{\pi}{2} +n\pi$

8 0

2 years ago