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marysya [2.9K]
2 years ago
5

Which choices are equivalent to the expression below? Check all that apply

Mathematics
1 answer:
ipn [44]2 years ago
5 0

The expression which is equivalent to √(-9) is 3i.

<h3>What is Complex number?</h3>

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

Here, given expression;

    y = √(-9)

    y = √9 X √(-1)

   y = 3√(-1)

   y = 3i

Thus, the expression which is equivalent to √(-9) is 3i.

Learn more about Complex number from:

brainly.com/question/10251853

#SPJ1

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Write the expression as the sine, cosine, or tangent of an angle.
erma4kov [3.2K]

Answer:

tan56°

Step-by-step explanation:

The Addition identity for tangent ratio is

tan(x + y) = \frac{tanx+tany}{1-tanxtany} , thus

\frac{tan24+tan32}{1-tan24tan32} = tan(24 + 32)° = tan56°

7 0
3 years ago
Please help me with this problem, please
Harman [31]

Answer:

sin(x) = 5/13

cos(y) = 5/12

Therefore, sin(x) = cos(y)

Step-by-step explanation:

Trig ratios:

sin(\theta)=\dfrac{O}{H}\\\\\\cos(\theta)=\dfrac{A}{H}\\\\\\tan(\theta)=\dfrac{O}{A}

where \theta is the angle, O is the measure of the side opposite the angle, A is the measure of the side adjacent to the angle and H is the hypotenuse, of a right triangle

We have been given the measures of the two legs, so we can find the measure of the hypotenuse by using Pythagoras' Theorem a^2+b^2=c^2

(where a and b are the legs and c is the hypotenuse of a right triangle)

\implies 5^2+12^2=c"\\\\\implies 169=c^2\\\\\implies c=\sqrt{169}\\\\ \implies c=13

Now we can use the trig ratios:

\implies sin(x)=\dfrac{5}{13}

\implies cos(y)=\dfrac{5}{13}

Therefore, sin(x) = cos(y)

8 0
2 years ago
Dividing with decimals
horrorfan [7]
Here's an example: I hope this helps you out

4 0
3 years ago
Given the information below, write the conclusion in context. 1. H0 : The proportion of defective batteries = 0.02 2. HA : The p
Marizza181 [45]

Answer:

z = -1.23

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

p_v = P(z

And for this case using a significance level of \alpha=0.05 ,0.1 we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

Step-by-step explanation:

For this case we want to test the following system of hypothesis:

Null hypothesis: p =0.02

Alternative hypothesis: p < 0.02

The statistic for this case is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And for this case we know that the statistic is given by:

z = -1.23

And we can calculate the p value with the following probability taking in count the alternative hypothesis:

p_v = P(z

And for this case using a significance level of \alpha=0.05 ,0.1 we see that the p value is larger than the significance level so then we can conclude that we FAIL to reject the null hypothesis and we don't have enough  evidence to conclude that the true proportion is less than 0.02

5 0
3 years ago
I travelled a distance of 98km in 7.2 hours. what was my approximate average speed in km/h?
Harrizon [31]

Answer:

13.6 km/h?

Step-by-step explanation:

98 ÷ 7.2 = 13.61

7 0
3 years ago
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