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gogolik [260]
3 years ago
6

A boy is flying a kite and has let out 300 feet of string. He notices that the angle the string makes with the ground is 38 degr

ees. How high over the ground is the kite?

Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Answer:

height = 184.7 feet

Step-by-step explanation:

sin 38 = height/300

0.6157 = height/300

height = 184.7 feet

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At the first meeting of the Tennis Club, the 7 members decided to have a tournament in which every player will play a match agai
mariarad [96]

Answer:

21 matches

Step-by-step explanation:

This is a combination problem where we have to select two member out of 7 members

 

So we want calculation of  7C2

 

   7C2 = 7!/[(2!)(7-2)!]

   (7*6*5*4*3*2*1)/[(2*1) *(5*4*3*2*1]

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5 0
3 years ago
Gabe​ Amodeo, a nuclear​ physicist, needs 60 liters of a 60​% acid solution. He currently has a 50% solution and a 70% solution.
FromTheMoon [43]

Answer:

Gabe needs 20 liters of the 40% solution.  

He also needs 40 liters of the 70% solution.

Step-by-step explanation:

Equation:


acid + acid = acid


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40x + 70*60 - 70x = 60*60


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He also needs 40 liters of the 70% solution.

6 0
3 years ago
Consider the following statement. ∀ integer d, if 6 d is an integer then d = 3. Which of the following is a negation for the sta
omeli [17]

Answer:

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

Step-by-step explanation:

If 6d is an integer, then d = 3

Let's divide the statement into two:

Let "If 6d is an integer" be p and "then d = 3" be q.

The statement is a conditional statement. Therefore, we have

p ⇒ q

The negation of p ⇒q, ¬(p ⇒ q) ≡ p ∧ ¬q

I have attached an image proving the above.

Using this: ¬(p ⇒ q) ≡ p ∧ ¬q

Then, we leave p as it is and negate q.

P is "if 6d is an integer"

q is "then d = 3," hence ¬q is "then d ≠ 3."

Therefore, the negation of "If 6d is an integer, then d = 3" is "If 6d is an integer, then d ≠ 3."

The correct option is the first:

∃ an integer d such that 6d is an integer and d ≠ 3

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