Which of the following is equal to √^3√5 5^1/3 5^1/6 5^2/3 5^3/2

A triangle with vertices (−3, −3), (−6, 2), and (−1, 5) is what type of triangle? A) Equilateral B) Scalene C) Right D) Isoscele

aalyn [17]

C) Right

https://www.desmos.com/calculator/vf2qksnpwe

right triangle
Proof: You can apply the Pythagorean theorem.

3 0

2 years ago

Please help me out :P

Veseljchak [2.6K]

cos θ = $\frac{-4\sqrt{65} }{65}$ , sin θ = $\frac{-7\sqrt{65} }{65}$ , cot θ = 4/7, sec θ = $\frac{-\sqrt{65} }{4}$ , cosec θ = $\frac{-\sqrt{65} }{7}$

<h3>What are trigonometric ratios?</h3>

Trigonometric Ratios are values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

Sin θ: Opposite Side to θ/Hypotenuse

Tan θ: Opposite Side/Adjacent Side & Sin θ/Cos

Cos θ: Adjacent Side to θ/Hypotenuse

Sec θ: Hypotenuse/Adjacent Side & 1/cos θ

Analysis:

tan θ = opposite/adjacent = 7/4

opposite = 7, adjacent = 4.

we now look for the hypotenuse of the right angled triangle

hypotenuse = $\sqrt{7^{2} + 4^{2} }$ = $\sqrt{49+16}$ = $\sqrt{65}$

sin θ = opposite/ hyp = $\frac{7}{\sqrt{65} }$

Rationalize, $\frac{7}{\sqrt{65} }$ x $\frac{\sqrt{65} }{\sqrt{65} }$ = $\frac{7\sqrt{65} }{65}$

But θ is in the third quadrant(180 - 270) and in the third quadrant only tan and cot are positive others are negative.

Therefore, sin θ = - $\frac{7\sqrt{65} }{65}$

cos θ = adj/hyp = $\frac{4}{\sqrt{65} }$

By rationalizing and knowing that cos θ is negative, cos θ = - $\frac{-4\sqrt{65} }{65}$

cot θ = 1/tan θ = 1/7/4 = 4/7

sec θ = 1/cos θ = 1/ $\frac{4}{\sqrt{65} }$ = - $\frac{-\sqrt{65} }{4}$

cosec θ = 1/sin θ = 1/ $\frac{\sqrt{65} }{7}$ = $\frac{-\sqrt{65} }{7}$

Learn more about trigonometric ratios: brainly.com/question/24349828

#SPJ1

5 0

1 year ago

In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Eme

VikaD [51]

Answer:

Total number of strikeouts:

30 + 40 + 42 = 112

Total number of at bats:

90 + 120 + 140 = 350

Hits = times - strikeouts:

350 - 112 = 238

Percentage:

238/352*100% = 67.61%

7 0

2 years ago

Fourteen school festival tickets were sold to adults and children. A total of $38 was collected from these ticket sales. Adult t

spayn [35]

Answer:

A

Step-by-step explanation:

8 0

2 years ago

If the value of y varies directly with x and y= -1 when x=3, find y if x=9

Zolol [24]

y = - 3

Since y varies directly as x then

y = kx ← ( k is the constant of variation )

to find k use y = - 1 when x = 3

k = $\frac{y}{x}$ = $\frac{-1}{3}$ = - $\frac{1}{3}$

hence y = - $\frac{1}{3}$ x

when x = 9, then

y = - $\frac{1}{3}$ × 9 = - 3

4 0

2 years ago

Which of the following is equal to √^3√55^1/35^1/65^2/35^3/2​

Which of the following is equal to √^3√55^1/35^1/65^2/35^3/2