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2 years ago

Round to the nearest hundredth?A4?35°сB

Mathematics

1 answer:

DaniilM [7]2 years ago

3 0

The length of the unknown side length, |AB|, is 6.97

<h3>Trigonometry</h3>

From the question, we are to determine the value of the unknown side length

The unknown side length is the hypotenuse

Using SOH CAH TOA

We can write that

sin 35° = 4/|AB|

∴ |AB| = 4 /sin35°

|AB| = 4 /sin35°

|AB| = 6.97

Hence, the length of the unknown side length, |AB|, is 6.97

Learn more on Trigonometry here: brainly.com/question/22099203

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Kruka [31]

Answer: The correct answer is 9:45 am.

Step-by-step explanation: If your elapsed time is 3/4 of an hour you need to first know how many minutes this is equavilent to. 3/4 of an hour equals 45 minutes. Next, you need to subtract 45 minutes from 10:30, which is 9:45 am, which would be your start time.

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3 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. f ( x ) = 9 x 3 + 2 x 2

sladkih [1.3K]

Answer:

2x(2x²+x+1)

Dtep-by-step explanation:

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3 years ago

I need to solve the equation please help me

lesantik [10]

Answer:

$\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}$

Step-by-step explanation:

We are given the equation:

$4\sin^2(x)+6\sin(x)+2=0$

First, we can divide everything by 2:

$2\sin^2(x)+3\sin(x)+1=0$

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

$2u^2+3u+1=0$

Solve for u. Factor:

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Zero Product Property:

$2u+1=0\text{ or } u+1=0$

Solving for both cases:

$\displaystyle u=-\frac{1}{2}\text{ or } u=-1$

And by substitution:

$\displaystyle \sin(x)=-\frac{1}{2}\text{ or } \sin(x)=-1$

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

$\displaystyle x=\frac{7\pi}{6}+2n\pi \text{ and } x=\frac{11\pi}{6}+2n\pi, n\in\mathbb{Z}$

Where n is an integer.

For the second case, sin(x) is -1 for every 3π/2. Thus:

$\displaystyle x=\frac{3\pi}{2}+2n\pi$

All together, our solutions are:

$\displaystyle x=\Big\{\frac{7\pi}{6}+2n\pi, \frac{3\pi}{2}+2n\pi, \frac{11\pi}{6}+2n\pi}\Big\}, n\in\mathbb{Z}$

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3 years ago

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4 years ago

A number divided by -10 is -30 what is the number

Bad White [126]

------------------------------------------------------------------
Define x :
------------------------------------------------------------------
Let the number be x.

------------------------------------------------------------------
Construct Equation:
------------------------------------------------------------------
x ÷ (-10) = -30

------------------------------------------------------------------
Multiply for (-10) on both sides:
------------------------------------------------------------------
x = (-30) x (-10) = 300

------------------------------------------------------------------
Answer: x = 300
------------------------------------------------------------------

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3 years ago