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pickupchik [31]
2 years ago
10

A straw that is 16 centimeters long fits inside the glass shown. The height of the glass is 14 centimeters. Find the radius of t

he glass.​
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
8 0

Answer:

3x-x+2=4

Step-by-step explanation:

A straw that is 16 centimeters long fits inside a glass. The height of the glass is 14 centimeters. Find the radius of the glass.

--------------

If the radius is more than 16 cms, it obviously fits.

 

---

Not a well stated problem.

If you want the minimum radius, it's a right triangle problem, but only if the straw is a line.

If a diameter of the straw is given, it's a difficult but realistic problem.

 

3x-x+2=4

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Answer:

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3 0
3 years ago
Read 2 more answers
An elementary school is offering 2 language classes: one in Spanish (S) and one in French (F). Given that P(S) = 50%, P(F) = 40%
nikklg [1K]

Answer:

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French = 0.5 .

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish = 0.6 .

Step-by-step explanation:

We are given that an elementary school is offering 2 language classes ;

 <em>Spanish Language is denoted by S and French language is denoted by F.</em>

Also we are given, P(S) = 0.5 {Probability of students taking Spanish language}

P(F) = 0.4 {Probability of students taking French language}

P(S\bigcup F) = 0.7 {Probability of students taking Spanish or French Language}

<em>We know that,  </em>P(A\bigcup B)<em>  = </em>P(A) + P(B) -<em> </em>P(A\bigcap B)<em />

So, P(S\bigcap F) = P(S) + P(F) - P(S\bigcup F) = 0.5 + 0.4 - 0.7 = 0.2

P(S\bigcap F) means Probability of students taking  both Spanish and French Language.

Also, P(S)' = 1 - P(S) = 1 - 0.5 = 0.5

         P(F)' = 1 - P(F) = 1 - 0.4 = 0.6

        P(S'\bigcap F') = 1 -  P(S\bigcup F) = 1 - 0.7 = 0.3

(a) Probability that a randomly selected student is taking Spanish given that he or she is taking French is given by P(S/F);

  P(S/F) = \frac{P(S\bigcap F)}{P(F)} = \frac{0.2}{0.4} = 0.5

(b) Probability that a randomly selected student is not taking French given that he or she is not taking Spanish is given by P(F'/S');

   P(F'/S') = \frac{P(S'\bigcap F')}{P(S')} = \frac{1- P(S\bigcup F)}{1-P(S)} = \frac{0.3}{0.5} = 0.6 .

Note: 2. A pair of fair dice is rolled until a sum of either 5 or 7 appears  ; This question is incomplete please provide with complete detail.

7 0
3 years ago
Which polynomial is in standard form?
kirill115 [55]

Answer:

2x^3 +4x^2 -7x+5

Step-by-step explanation:

Polynomial 2x^3 +4x^2 -7x+5 is in standard form as it is written in descending order of their powers.

8 0
3 years ago
Please help if you know the answer
worty [1.4K]
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For what values of $x$ is it true that $x^2 - 5x - 4 \le 10$? Express your answer in interval notation.
dybincka [34]

Answer:

  x ∈ [-2, 7]

Step-by-step explanation:

The given equation ...

  x^2 -5x -4 ≤ 10

can be rewritten as ...

  x^2 -5x -14 ≤ 0

and factored as ...

  (x +2)(x -7) ≤ 0

Clearly, the "or equal to" condition will be met when x=-2 and x=7. For values of x between these numbers, one factor is negative and the other is positive. Hence the product will be negative. So, numbers in that interval are the solution set.

  x ∈ [-2, 7]

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3 years ago
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