All categories

2 years ago

What is the tangent ratio?

Mathematics

1 answer:

Xelga [282]2 years ago

6 0

Answer:

The answer is opposite/adjacent

Step-by-step explanation:

Based on this saying that SohCahToa

Which means sin=opposite/hypotenuse

Cos=adjacent/hypotenuse

Tan=opposite/adjacent

The opposite is the side facing the right angle

The hypotenuse is the longest side of the triangle

The adjacent is the line that has both the right angle and opposite angle

You might be interested in

V=D/T Solve for T. In two Steps and an Answer.

elena-14-01-66 [18.8K]

Answer:

t=v/d

Step-by-step explanation:

id think that there are two steps

v=d/t

divide D on both sides

v/d=d/t/d

v/d=t

7 0

2 years ago

Read 2 more answers

Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu

kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

$f(x) = {x}^{5} - {x}^{3} + 6$

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

$f'(x) = 5 {x}^{4} - 3 {x}^{2}$

At turning point f'(x)=0.

$5 {x}^{4} - 3 {x}^{2} = 0$

This implies that,

${x}^{2} (5 {x}^{2} - 3) = 0$

${x}^{2} = 0 \: or \: 5 {x}^{2} - 3 = 0$

$x = - \frac{ \sqrt{15} }{5} \: or \: x = 0 \: \: or \: x =\frac{ \sqrt{15} }{5}$

We plug this values into the original function to obtain the y-values of the turning points

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} +750)) \:and \: (0, - 6) \: and\: ( \frac{ \sqrt{15} }{5} , \frac{1}{125} ( - 6 \sqrt{15} +750))$

We now use the second derivative test to determine the absolute maximum minimum on the interval [-1,1]

$f''(x) = 20 {x}^{3} - 6x$

$f''( - \frac{ \sqrt{15} }{5} ) \: < \: 0$

Hence

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} + 750))$

is a maximum point.

$f''( \frac{ \sqrt{15} }{5} ) \: > \: 0$

Hence

$( \frac{ \sqrt{15} }{5} , \frac{1}{125} (- 6 \sqrt{15} + 750))$

is a minimum point.

$f''(0) \: =\: 0$

Hence (0,-6) is a point of inflexion

4 0

2 years ago

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4 . If there were

Kamila [148]

If there were 5 yes votes for every 4 no votes, there were 5 yes votes for every 9 total votes, so 5/9 of the 7911 votes were yes. 5/9*7911=4395.

7 0

2 years ago

What is the minimum cuts<br> needed to cut a circle into 8<br> equal parts?

Gnom [1K]

What is the minimum cuts needed to cut a circle into 8 equal parts ?

A : 4 cuts

7 0

3 years ago

Read 2 more answers

Make r the subject of x= e + r/d

neonofarm [45]

Step-by-step explanation:

X=e+r/d

swap both sides

e+r/d=x

subtract e from both sides

e-e+r/d=x-e

r/d=x-e

multiply d to both sides

d×r/d=x-e×d

r=x-e×d

7 0

3 years ago