$\text{Here,}\\\\\text{Opposite side,}~ O = 2\\\\\text{Hypotenuse,}~ H = \sqrt 5 \\\\\text{Adjacent side,}~ A = \sqrt{5-4} = \sqrt 1 =1 ~~ ;[\text{By using Pythagorean theorem}]\\\\\\\sin \theta = \dfrac{O}H = \dfrac 2{\sqrt 5}\\\\\\\cos \theta = \dfrac{A}{H} = \dfrac{1}{\sqrt 5} \\ \\\\ \tan \theta = \dfrac{O}{A} = \dfrac 21 = 2$

$csc \theta = \dfrac{1}{\sin \theta} = \dfrac{\sqrt 5}2\\\\\\\sec \theta = \dfrac{1}{\cos \theta} = \sqrt 5 \\\\\\\cot \theta = \dfrac 1{\tan \theta} = \dfrac 12$

5 0

3 years ago

Jon hikes 13.5 mi at a constant rate of 3 mi/h. How many hours does he hike?

joja [24]

13.5/3 = 4.5

He hiked for 4.5 hours.

6 0

4 years ago

Simplify the expression <br><br> 6(-5n + 7)

Hunter-Best [27]

6(-5n+7)=0

We simplify the equation to the form, which is simple to understand

6(-5n+7)=0

Reorder the terms in parentheses

+(-30n+42)=0

Remove unnecessary parentheses

-30n+42=0

We move all terms containing n to the left and all other terms to the right.

-30n=0-42

We simplify left and right side of the equation.

-30n=-42

We divide both sides of the equation by -30 to get n.

n=1.4

Hope this helps!

7 0

3 years ago

Read 2 more answers

What is the value of the digit 6 in 873,261?<br> What is the value of the digit 6 in 137,2617?

Talja [164]

Answer:

Step-by-step explanation:

600

7 0

3 years ago