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scoundrel [369]
3 years ago
11

Explain the difference between using the tangent ratio to solve for a missing angle in a right triangle versus using the cotange

nt ratio. You must use complete sentences and any evidence needed (such as an example) to prove your point of view. (10 points)

Mathematics
1 answer:
Lena [83]3 years ago
4 0

Answer:

While determining the angle \theta with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other.

Step-by-step explanation:

See the diagram attached.

Let us assume a right triangle Δ ABC with ∠ B = 90°. Now, assume that the angle ∠ CAB = \theta and the sides AB, BC, CA are 3, 4, 5 units respectively.

The tangent ratio of an angle \theta is given by  

\tan \theta = \frac{BC}{AB} = \frac{4}{3}  

Again, the cotangent ratio of angle \theta is given by  

\cot \theta = \frac{AB}{BC} = \frac{3}{4}  

Therefore, in both the cases of tangent ratio and cotangent ratio are inverse of each other and while determining the angle \theta with the tangent ratio or cotangent ratio uses the same sides lengths but the ratios are inverse of each other. (Answer)

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Help please i need this done by tmr !
Nataly [62]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

5x + 7 + 4x + 2 + 90 = 180 , that is

9x + 99 = 180 ( subtract 99 from both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Then

∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°

∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°

-----------------------------------------------------------------------

Since the triangles are congruent then corresponding angles are congruent , so

∠ B = ∠ E

6x + 10 = 70 ( subtract 10 from both sides )

6x = 60 ( divide both sides by 6 )

x = 10

5 0
3 years ago
PLZ CAN SOMEONE ANSWER THIS !!
Cerrena [4.2K]

Answer:

(-4,2)

Step-by-step explanation:

First we have to find a common multiple to use to add and find the system of equations. We need to eliminate one of the variables in order to solve.

Since 5 * 3 = 15, and 3 * -5 = 15, -15x and 15x will cancel each other out. Therefore x will be eliminated.

Before:

5x + 2y = -16

3x + 7y = 2

After:

15x + 6y = -48   <----------Now we solve for y

-15x + -35y = -10

+----------------------

-29y = -58

-29      -29

y = 2

Now what we do is we choose and equation and solve for x, since it is still unknown. Any equation is fine but I will choose the second one since it has easy numbers.

3x + 7y = 2

3x + 7(2) = 2

3x + 14 = 2

   -14     -14

----------------------

3x = -12

3        3

x = -4

Therefore our final answer is (-4,2)

5 0
3 years ago
Which is greater 6/142 or 4/136
Marianna [84]

Answer:

6/142 > 4/136

Step-by-step explanation:

6/142 = 0.04225352113

4/136 = 0.02941176471

6 0
3 years ago
Read 2 more answers
The value of Adam's model railway is $550.
garik1379 [7]

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is A_o=\$550

the value increases exponentially with the rate of r\%

Time period t=5\ years

Final amount A=\$736

Exponential growth is given by

\Rightarrow A=A_o(1+r)^t

Putting values

\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338

\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%

Option (c) is correct

6 0
3 years ago
you are at the mall and you want to buy a hoodie for 35 dollars its on sale for 25 percent off how do you find the discounted pr
Gnesinka [82]

Answer:$8.75

Step-by-step explanation:Thus, a product that normally costs $35 with a 25 percent discount will cost you $26.25, and you saved $8.75. You can also calculate how much you save by simply moving the period in 25.00 percent two spaces to the left, and then multiply the result by $35 as follows: $35 x .25 = $8.75 savings.

6 0
3 years ago
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