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enyata [817]
3 years ago
6

In a right triangle, angle a measures 20. The side opposite angle a is 10 centimeters long. Approximately how long is the hypote

nuse of the triangle
Mathematics
2 answers:
AleksAgata [21]3 years ago
6 0

<span>sin(angle)=<span><span>opposite leg/</span><span>hypotenuse</span></span></span>

<span><span><span>
</span></span></span>

<span><span><span> sin(20) = 10/ hypotenuse</span></span></span>

<span><span><span>hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)</span></span></span>

<span><span><span>
</span></span></span>


sergeinik [125]3 years ago
3 0

Answer:

29.24 centimeters

Step-by-step explanation:

The trigonometry of angles states that in a right angled triangle with sides a, b, c representing the opposite, adjacent and hypotenuse sides respectively, and an angle A° opposite the side a

Then,

Sin A° = a/c

Cos A° = b/c

Tan A° = a/b

Hence,

Sin 20° = 10/c

c = 10/Sin 20°

c = 29.24 centimeters

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3 years ago
Five years ago, Chris opened a savings account that earned 1.4% simple interest every year. He opened his account with $850.00 a
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3 years ago
Is 8/5 proportional to 24/15 ?
DiKsa [7]

Hey there!

The answer to your question is, yes, it is

Given:

\frac{8}{5} and \frac{24}{15}

To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:

8*15=24*5

Let's solve it and see if it is true:

8*15=24*5

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Therefore, they <em>are </em>proportional.

<u>Cross products</u>

WORD DEFINITION:

Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.

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Given two fractions, \frac{a}{b} and \frac{c}{d}, a*d <em>should </em>equal to b*c

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3 0
3 years ago
A number is picked randomly in the range [0,7]. What is the probability that the number picked is between 3 and 5? What is the p
emmasim [6.3K]

Answer:

(1) 0.125

(2) 0.125

Step-by-step explanation:

The total number of possible outcomes is:

N = 8

(1)

Compute the probability that the number picked is between 3 and 5 as follows:

Number of Favorable outcomes = 1

The probability is:

P (Number picked is between 3 and 5) = 1/8 = 0.125

Thus, the probability that the number picked is between 3 and 5 is 0.125.

(2)

The number usually picked appears to be in in the range [3,5], i.e. the numbers could be, {3, 4 or 5}.

Number of Favorable outcomes = n (Number < 4 and within [3, 5]) = 1

P (less than 4 ∩ within [3, 5]) = 1/8 = 0.125

Thus, the probability that the number picked is less than 4 knowing that the number usually picked appears to be in in the range [3,5] is 0.125.

4 0
3 years ago
June drinks 2.5 ounces of water every 20 minutes. How much water does she drink per hour?
kupik [55]

Answer:

7.5 ounces

Step-by-step explanation:

\frac{2.5}{20} =\frac{x}{60} \\\\20x=150\\x= 7.5

6 0
3 years ago
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