All categories

3 years ago

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

Which expression is equivalent to ( 4mn / m^-2n^6)^-2a. n^6 / 16m^8b. n^10 / 16m^6c. n^10 / 8m^8d. 4m^3 / n^8?

Eva8 [605]

$\huge{(} \small{\frac{4mn}{ {m}^{ - 2} {n}^{6} }} \huge{) } \small{{}^{ {}^{ {}^{ {}^{ - 2} } } } }\\ \\ \\ \huge{(} \small{ \frac{4 \times m {}^{1} \times n {}^{1} }{ {m}^{ - 2} \times {n}^{6} }} \huge{)} \small{^{ {}^{ {}^{ {}^{ - 2} } } }} \\ \\ \\ \huge{(} \small{4 \times {m}^{1 - ( - 2)} \times {n}^{1 - 6}} \huge{)} \small{ {}^{ {}^{ {}^{ {}^{ - 2} } } } } \\ \\ \\ \huge{(} \small{ 4 \times {m}^{1 + 2} \times {n}^{ - 5} } \huge{)} \small{ { }^{ {}^{ {}^{ {}^{ - 2} } } } } \\ \\ \\ \small{ {(4)}^{ - 2} \times ({m}^{3} ) ^{ - 2} \times {(n{}^{ - 5} )}^{ - 2} } \\ \\ \\ \frac{1}{ {4}^{2} } \times {m}^{ - 6} \times {n}^{ 10} \\ \\ \\ \frac{1}{16} \times \frac{1}{ {m}^{6} } \times {n}^{10} \\ \\ \\ \frac{ {n}^{10} }{16{m}^{6} }$

$\text{ Hence, option B is correct }$

7 0

3 years ago

Micahdisu please help

skad [1K]

Answer:

1) A - 42°

2) 74°

3) B - 45°

4) B - 66°

Step-by-step explanation:

1) E = D+H

87 = 45 + H

H = 42°

2) 180 - 50 - D

D = 180 - 44 - 62 = 74°

3) F = 105

H = 180-105 = 75

I + H = C + E

I + 75 = 83 + 37

I = 45°

4) D = 180 - (E + F)

D = 180 - (30 + 57) = 93°

93 = A + 27

A = 66°

4 0

3 years ago

Read 2 more answers

Visualize the following procedure: Tear in half a square piece of paper with an area of one square unit. Then tear it in half ag

Nadusha1986 [10]

Answer:

$Area = \frac{1}{16}$ square units

Step-by-step explanation:

To predict the area of the piece of paper after 5 tears we can use a geometric sequence.

Each time a piece is torn, half of the previous area is lost. If the area of the first piece is 1 square unit then:

$a_1 = 1\\\\r = \frac{1}{2}\\\\a_2 = 1 *\frac{1}{2}\\\\a_2 = \frac{1}{2}\\\\a_n = 1(\frac{1}{2})^{n-1}\\\\a_5 = 1(\frac{1}{2})^{5-1}$

$a_5 = \frac{1}{16}$ square units

4 0

3 years ago

Read 2 more answers

Find the rate as a ratio of distance to time 770km, 5hr

solmaris [256]

770:5 or 154:1
154 km per hour

4 0

3 years ago

Solve the system of linear equations by substitution x=17-4y y=x-2

Zigmanuir [339]

9514 1404 393

Answer:

(x, y) = (5, 3)

Step-by-step explanation:

We can use the second equation to substitute for y in the first.

x = 17 -4(x -2)

5x = 25 . . . . . . . . eliminate parentheses, add 4x

x = 5

y = 5 -2 = 3

The solution is (x, y) = (5, 3).

6 0

2 years ago