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Rufina [12.5K]
3 years ago
15

Right triangle ABC is shown. Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of

A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Question:

Obtian the equation that can be used to solve for c

Answer:

Sin50 = 3/c

Step-by-step explanation:

A triangle showing the information given has been attached below for clarity :

Using trigonometry :

AC = 3 = opposite side of angle 50°

AB = c = hypotenus

Using the sine relation of a right angled triangle :

Sin θ = opposite / hypotenus

θ = 50°

Sin 50° = 3 / c

Sin50 = 3/c

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Adante begins to evaluate the expression 3 1/3 * 5 1/4
goldenfox [79]

For this case we must find the product of two mixed numbers:

3 \frac {1} {3} = 3 + \frac {1} {3} = \frac {9 + 1} {3} = \frac {10} {3}\\5 \frac {1} {4} = 5 + \frac {1} {4} = \frac {20 + 1} {4} = \frac {21} {4}

So, we have:

\frac {10} {3} * \frac {21} {4} = \frac {10 * 21} {3 * 4} = \frac {210} {12} = \frac {105} {6} = \frac {35} {2}

If we go to a mixed number we have:

\frac {35} {2} = 17 \frac {1} {2}

Answer:

17 \frac {1} {2}

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3 years ago
Todd plans to swim 900 yards in a pool. So far Todd has swam 720 yards. What percentage of the total has Todd completed?
ella [17]

Answer:im pretty sure its 64.8

Step-by-step explanation:

5 0
3 years ago
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kvv77 [185]

Answer:

Girls in Mr. Chang's class: 28 - 21 ; # girl students = # total students - # boy students ; 7 girl students.

Boys in Mr. Chang's class: 28 - 7 ; # boy students = # total students - girl students ; 21 boy students.

8 0
3 years ago
use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042
marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is  

24, 30, 36, 42, 48, ...

It is an AP. Here,  

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

a_n=a_1+(n-1)d

where, a_1 is first term, d is common difference.

Substitute a_1=24, d=6 \text{ and }n=500 in the above formula.

a_{500}=24+(500-1)(6)

a_{500}=24+(499)(6)

a_{500}=24+2994

a_{500}=3018

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

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3 years ago
Which process was used to obtain the equation shown in Step 2?
Minchanka [31]

Answer:

x3

Step-by-step explanation:

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2 years ago
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