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Len [333]
3 years ago
8

Given right triangle ABC, what is the value of tan(A)? Five-thirteenths Twelve-thirteenths Twelve-fifths Thirteen-twelfths

Mathematics
2 answers:
WITCHER [35]3 years ago
8 0

Answer:

Twelve-fifths.

Step-by-step explanation:

The diagram is shown below

Given triangle be right angled at B,

Withe reference to \angle A,

Its opposite side is BC=12 , adjacent side is AB=5 and hypotenuse is AC=13

We are to find the value of tan(A)

We know tan=\frac{opposite}{adjacent}

Substituting the above values we get,

tan(A)= \frac{BC}{AB}=\frac{12}{5}

So the answer is Twelve-fifths.

shusha [124]3 years ago
8 0

Answer:

C. \frac{12}{13}

Step-by-step explanation:

cos(Z) = cos(C)

cos(C) = 12/13

Because adjacent side over hypotenuse side length.

Therefore, cos(Z) = 12/13.

You might be interested in
7/8 = /48 <br> A. 1 <br> B. 6 <br> C. 42 <br> D. 13
Vsevolod [243]
7/8 = x/48

Cross multiply, which is: a/b = c/d ⇒ ad = bc

After cross multiplying, we get:

8x = 7(48)

8x = 336

Divide 8 on both sides

x = 42


Your final answer is B. 42<span>.</span>
6 0
4 years ago
The sum of 1/6,2/3, and 1/4 is
Bumek [7]

¹³/₁₂

<h3>Further explanation</h3>

<u>Given:</u>

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = ? \ }

  • A fraction represents part of a whole.
  • A fraction consists of a numerator and a denominator. i.e., \boxed{ \ \frac{numerator}{denominator} \ }.
  • The numerator = the number of equal parts of a whole.
  • The denominator = the total number of parts that make up said whole.

From the problems above, the denominator or the bottom numbers are still different. We use the Least Common Multiple (or LCM) to equalize the denominator.

  • Multiples of 3: \boxed{ \ \{3, 6, 9, 12, 15, ... \} \ }
  • Multiples of 4: \boxed{ \ \{4, 8, 12, 16, ... \} \ }
  • Multiples of 6: \boxed{ \ \{6, 12, 18, ... \} \ }

Hence, the LCM for 3, 4, and 6 is 12.

We change the denominator for each fraction to 12.

\boxed{ \ \frac{1}{6} \rightarrow \frac{multiply \ by \ 2}{multiply \ by \ 2} \rightarrow \frac{2}{12} \ }

\boxed{ \ \frac{2}{3} \rightarrow \frac{multiply \ by \ 4}{multiply \ by \ 4} \rightarrow \frac{8}{12} \ }

\boxed{ \ \frac{1}{4} \rightarrow \frac{multiply \ by \ 3}{multiply \ by \ 3} \rightarrow \frac{3}{12} \ }

Then we continue adding fractions.

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \frac{2}{12} + \frac{8}{12} + \frac{3}{12} \ }

\boxed{ \ \frac{1}{6} + \frac{2}{3} + \frac{1}{4} = \boxed{ \ \frac{13}{12} \ } \ }

Thus, the result is \boxed{ \ \frac{13}{12} \ or \ 1\frac{1}{12}\ }

<h3>Learn more</h3>
  1. ²/₇m - ¹/₇= ³/₁₄ solve step by step brainly.com/question/4853649
  2. 100 is 1/10 of what? brainly.com/question/96535
  3. Mr. Frye distributed his money equally among his 4 children for their weekly allowance brainly.com/question/13174288#

Keywords: the sum of ¹/₆, ²/₃, and ¹/₄, fraction, adding, numerator, denominator, still different, LCM

6 0
3 years ago
Read 2 more answers
How do i solve a question like:
Lynna [10]
Let x be the original amount as per the ques tion (7/6) x= 420thus x=420*6/7=360thus the interest earned is 420 -360=60
3 0
3 years ago
How many seconds are in 45 minutes?
fgiga [73]
45 minutes equal to 2700 seconds.
8 0
4 years ago
Read 2 more answers
Solve the proportion: 12/16=9/48x
ivanzaharov [21]

Hey there

the answer is

x=4

thank you

    OFFICIALLYSAVAGE2003

5 0
3 years ago
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