All categories

3 years ago

Let tan theta= 5/12, where sin theta> 0.Find the exact value of sec theta

Mathematics

1 answer:

soldier1979 [14.2K]3 years ago

8 0

Answer:

5/13

Step-by-step explanation:

1. We are given tan(x)=5/12 .....(2)

2. On comparing the quantities we get that p=5 and b=12

3. We require the value of hypotenuse(h),

for this we apply the Pythagoreum theorum: p^2+b^2=h^2

⇒h^2=5^2+12^2

⇒h^2=25+144

⇒h^2=169

⇒ h=√169

⇒ h=13

Sin=p/h

p=5

h=13

Sin=5/13

You might be interested in

BRAINLESS!!!

Eduardwww [97]

Answer:

1/2

25/5

12/25

1/5

Hope it helps!

7 0

3 years ago

What is the midpoint between (3, -1) and (7,-5)

Alex Ar [27]

Answer:

(5, -3)

Step-by-step explanation:

given two points (x₁, y₁) and (x₂, y₂), the midpoint is $(\frac{x_1+x_2}{2} ,\frac{y_1 + y_2}{2})$

$(\frac{3+7}{2} ,\frac{-1 + -5}{2})$ = $(\frac{10}{2} ,\frac{-6}{2}) = (5, -3)$

6 0

3 years ago

A population of 249 birds increases at a rate of 16% annually. jewel writes and exponential function of the form f(x)=abc to rep

Ad libitum [116K]

Answer:

a = 249 and b = 1.16

Step-by-step explanation:

Consider the provided information.

The exponential function for growth is: $y=a(1+ r)^x$

Here, a is the initial value and r is the rate of change.

It is given that the number of birds is 249.

It means a = 249

The rate is given 16%

r=0.16

Put the value of a and r in the above formula.

$y=249(1+0.16)^x$

$y=249(1.16)^x$

Now we will compare it with the exponential function form $y=ab^x$

Therefore, a = 249 and b = 1.16

9 0

3 years ago

Paul baked 208 brown loaves. if the ratio of white loaves to brown loaves is 3:2, how many loaves did he bake in total

navik [9.2K]

Answer:

520 loaves

Step-by-step explanation:

First, let's find how many white loaves he baked.

Let's make a proportion.

white loaves/brown loaves= white loaves/brown loaves

He baked 3 white loaves for every 2 brown loaves. He baked x white loaves for 208 brown loaves.

3/2=x/208

Now, we have to solve for x. To do this, we have to get x by itself. x is being divided by 208. To reverse this, multiply both sides by 208

208*3/2=x/208*208

208*3/2=x

312=x

He baked 312 white loaves.

Now, we have to find the total number of loaves he baked.

To do this, add the brown loaves and the white loaves.

brown loaves+white loaves

He baked 208 brown loaves and 312 white loaves

208+312

520

He baked 520 loaves in total

5 0

3 years ago

What is the value of 6(2b-4) when b =5

kondor19780726 [428]

6(2(5)-4)= 6(10-4)= 6(6)=36 so your answer is 36

5 0

2 years ago

Read 2 more answers

Let tan theta= 5/12, where sin theta> 0.Find the exact value of sec theta​

Let tan theta= 5/12, where sin theta> 0.Find the exact value of sec theta