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3 years ago

15

Identify the correct trigonometry formula to use to solve for x.

2 answers:

Elan Coil [88]3 years ago

8 0

Answer:

sin(62)=18/x

Step-by-step explanation: sine = opp/hyp

frosja888 [35]3 years ago

6 0

Answer: Third option.

Step-by-step explanation:

Given the right triangle in the figure attached, you know that, for the known angle of 62 degrees, the lenght of the opposite side is 18 and the hypotenuse is "x"

Therefore, you need to remember the following identity:

$sin\alpha=\frac{opposite}{hypotenuse}$

Then, having that:

$\alpha=62\°\\opposite=18\\hypotenuse=x$

You need to substitute these values into $sin\alpha=\frac{opposite}{hypotenuse}$ , then you get that the correct trigonometry formula to use to solve for "x" is:

$sin(62\°)=\frac{18}{x}$

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Find a solution to the system. Make sure to write as a coordinate.

RUDIKE [14]

Answer:

x=2, y=3

Step-by-step explanation:

This is a <u>system of equations</u>.

To solve a system of equations, we use the substitution method.

We can plug in the first equation, $x=2y-4$ , into the value for <em>x</em> in the second equation. Now, the second equation looks like this:

$2*(2y-4)+y=7$

We simplify and solve for <em>y</em>:

→ $4y-8+y=7$

→ $5y=15$

→ $y=3$

Now, we plug in the value for <em>y</em>, which is 3, into either equation. I will just use the first equation:

→ $x=2*3-4$

→ $x = 2$

Let me know if my explanation is unclear.

3 0

2 years ago

What’s the correct answer for this?

earnstyle [38]

Answer:

6

Explanation:

According to secant-secant theorem,

(PB)(PA)=(PD)(PC)

(7)(12)=(PD)(14)

NOW

84/14 = PD

PD = 6

4 0

3 years ago

Ryan says that the sum of any two numbers is rational. Which of the following is a counterexample?

GaryK [48]

Answer: 10 + 0.998987... = 10.998987

Step-by-step explanation:

I just took the test today and this was the answer.

5 0

2 years ago

A researcher is planning to compare the effects of two different types of lights on the growth of bean plants. She expects that

kicyunya [14]

Answer:

The sample size is $n = 36$

Step-by-step explanation:

From the question we are told that

The sample standard deviation is $s = 1.5$

The mean difference of the two groups is $\=x _ 1 - \=x_2 = 1$

The standard error is $SE = \frac{ \= x_1 - \= x_2}{4}$

=> $SE = \frac{1}{4}$

Let assume that the confidence level is 95% hence the level of significance is

$\alpha = (100-95)\%$

=> $\alpha = 0.05$

So the critical value of $\frac{\alpha }{2}$ obtained from the normal distribution table is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically evaluated as

$E = Z_{\frac{\alpha }{2} } * SE$

$E = 1.96 * \frac{1}{4}$

$E = 0.49$

Generally the sample size is mathematically represented as

$n =[ \frac{Z_{\frac{\alpha }{2} * s^2}}{E}]^2$

=> $n = [\frac{1.96 * 1.5}{0.49} ]^2$

=> $n = 36$

6 0

3 years ago

If 3ax+b+c, then x equals?

Viktor [21]

This is not an Equation! this is an Sentence in Al Jebra!
but you means : if 3ax+b=c, then x =?
3ax=c-bX = $x= \frac{c-b}{3a}$

5 0

3 years ago