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faust18 [17]
3 years ago
8

How can I solve this?Please use the simplest format​

Mathematics
1 answer:
IgorLugansk [536]3 years ago
3 0

Answer:

option D is true.

Step-by-step explanation:

The right-angled triangle is shown.

From the right-angled triangle,

The angle Ф = 60°

We know that the trigonometric ratio

tan Ф = opposite / adjacent

  • opposite = 4
  • adjacent = n

Thus,

tan 60 = 4 / n

√3 = 4/n

n = 4/√3

Thus,

n = 4/√3

  = (4 × √3) / (√3 × √3)

  = 4√3 / 3

Thus,

n  = 4√3 / 3

Using Pythagorean theorem

m = √n²+4²

m=\sqrt{\left(4\cdot \frac{\sqrt{3}}{3}\right)^2+4^2}

m=\sqrt{\frac{4^2}{3}+4^2}

m=\sqrt{\frac{64}{3}}

m=\frac{8}{\sqrt{3}}

m=\frac{8\sqrt{3}}{3}

Thus,

  • m=\frac{8\sqrt{3}}{3}
  • n  = 4√3 / 3

Therefore, option D is true.

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Answer:

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5 0
3 years ago
In one weekend, 2,400 people attend a play at the theater downtown. A survey of 150 people who attended found that 85 gave the p
insens350 [35]

Step-by-step explanation: 85 is 56.67 percent of 150

56.67 percent of 2,400 is 1360 so 1360 people gave the play at least 4 stars

3 0
3 years ago
Someone please help I don’t understand what this even is.
musickatia [10]

Answer:

A and D are not polynomials. B and C are polynomials

Step-by-step explanation:

In order to find out what function is a polynomial, you have to understand what a polynomial is. A polynomial is a sum of monomials that make up a polynomial expression. A mononomial is a real number, with a variable, and a exponent of a variable that makes up one term. For example 3x^{2} is a monomial. It has a real number, a variable, and a exponent that makes up one term. A polynomial has one or more monomial terms that make it a polynomial. So firstly, a polynomial by definition cannot have a negative exponent. That eliminates D. Why?  because by definition, the standard form of a polynomial function states that n cannot be positive, it has to be a nonnegative integer. Also, polynomials can only be real numbers. It cannot have a nonreal number. Radical forms without a perfect square are nonreal numbers. So that eliminates A. However, B and C can be polynomials because the definition of polynomials say that real numbers, nonnegative exponents, and constants can be part of a polynomial function. Even with the fraction, that would be part of rational expressions (polynomial/polynomial), which is polynomials. I hope this helps friend. Math can be tough to explain just as much as doing it :)

7 0
3 years ago
The function y = -16x2 + 1500 gives a parachute jumper's height y in feet
earnstyle [38]

Answer:

Step-by-step explanation:

so the question is asking about the time from 1500 feet to 1100 feet.  How long did they fall, w/o a parachute.    aka   "freefall"   so,   at 1500 feet the jumper is really at time zero.   so, plug in to the formula

1100 = -16x^{2} +1500  

( x represents seconds so i'll change it to t so we know it's time )  

1100 = -16t^{2} + 1500

now we can solve for t  , to see how long the jumper falls

-400 = - 16t^{2}      ( subtracting 1500 from both sides of equation )

25 = t^{2}      ( dividing both sides by  -16 )

oh.. look at how nice that turns out.. :)

\sqrt{25} = t  ( take the square root on both sides )

5 = t    

the jumper fell for 5 seconds to get to 1100 feet  

5 0
3 years ago
2.704 times 1000=???
Igoryamba

Answer:

2704

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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