How can I solve the statement below?

Mathematics

1 answer:

QveST [7]3 years ago

6 0

9514 1404 393

Answer:

A ≈ 65.4°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the trig relations associated with pairs of sides. For angle A, given sides b and c are the adjacent side and the hypotenuse, respectively. The appropriate relation is ...

Cos = Adjacent/Hypotenuse

cos(A) = b/c

A = arccos(b/c) = arccos(2.5/6)

A ≈ 65.4°

You might be interested in

Sin(θ) cos(3θ) + cos(θ) sin(3θ) = 0

pychu [463]

$\displaystyle\\
\text{We use formula:}\\
\sin(\alpha+\beta)=\sin(\alpha)\cos(\beta)+cos(\alpha)\sin(\beta)\\\\
Resolve:\\\\
\sin(\Theta)cos(3\Theta)+cos(\Theta)sin(3\Theta)=0\\\\
\sin(\Theta+3\Theta)=0\\\\
\sin(4\Theta)=0\\\\
\text{We have two solutions:}\\\\
4\Theta=0~~\Longrightarrow~~\Theta=\frac{0}{4}=0~~\Longrightarrow~~ \boxed{\Theta_1=0+2k\pi}\\\\
4\Theta=\pi~~\Longrightarrow~~\Theta=\frac{\pi}{4}~~\Longrightarrow~~ \boxed{\Theta_2=\frac{\pi}{4}+2k\pi}\\\\$

5 0

3 years ago

If e^(xy) = 2, then what is dy/dx at the point (1, ln2)?

love history [14]

E^(xy) = 2
(xdy/dx + y)e^(xy) = 0

At point (1, ln2), dy/dx + ln2 = 0
dy/dx = -ln2

3 0

3 years ago

The question is: Write and solve an equation to determine the width 'w' of the flag. The length of an American flag is 1.9 times

AysviL [449]

So what is given is:

length = 1.9 * w, you want to convert this to w = ...

This is done by dividing left and right by 1.9, so you get:

length/1.9 = 1.9*w/1.9, which simplifies to w = length/1.9

Another approach is to replace the multiplication with a simpler one in your head. So in stead of reading "length = 1.9 * width, what is width?", you read "6 = 2*3, what is 3?". You'll immediately realize 3 = 6/2, and that shows you how to change the real equation, ie., width = length/1.9.

6 0

4 years ago

Which is the graph of f(x) = square root of x?

Mariana [72]

Answer:

Step-by-step explanation:

use demos online graphing calculator to check and for future graph problems

7 0

3 years ago

Hans is drawing triangle ABC on the front board. He wants to draw a triangle with one angle greater than 90°.

ra1l [238]

A triangle with an angle >90 is an obtuse triangle the other two remaining angles would be acute <90 total degrees must = 180

5 0

4 years ago