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kogti [31]
3 years ago
10

Can someone pls give me the angles using the tangent^-1

Mathematics
1 answer:
Brut [27]3 years ago
8 0

9514 1404 393

Answer:

  ∠U = 60°

  ∠W = 30°

Step-by-step explanation:

The side length ratios are ...

  1 : √3 : 2

so you know this is one of the "special triangles." Its angle measures are 30°, 60°, and 90°. The smallest angle (W) is opposite the shortest side (7).

The angle measures are ...

  m∠U = 60°

  m∠W = 30°

[the UW measure is correct]

_____

<em>Additional comment</em>

Your calculator can tell you the arctangent of √3 or 1/√3. Be sure to set it to degrees mode.

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The pH of lemon juice at 298 K is found to be 2. 32. What is the concentration of mc014-1. Jpg ions in the solution? Use StartBr
sdas [7]

The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

<h3>What is pH value?</h3>

The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.

The pH value can be calculated with the following formula.

\rm pH=log[H^{+}]

Here, [H⁺] is the molar hydrogen ion concentration.

The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,

\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M

Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

Learn more about the pH value here;

brainly.com/question/940314

8 0
2 years ago
The lateral surface area of cone A is equal to the lateral surface area of cylinder B.
Natasha2012 [34]

Answer:

TRUE

Step-by-step explanation:

Lateral area of cone is given by: πrl

where r is the radius and l is the slant height

Here r=r and l=2h

Hence, lateral area of cone A= π×r×2h

                                            =  2πrh

Lateral area of cylinder is given by: 2πrh

where r is the radius and h is the height

Lateral area of cylinder B=2πrh

Clearly, both the lateral areas are equal

Hence, the statement that:The lateral surface area of cone A is equal to the lateral surface area of cylinder B. is:

True

4 0
2 years ago
Evaluate 7m+ 3mn when m=8 and n=14?Answers:aA:84,B:196,C:392,D=168​
Aleksandr-060686 [28]

Answer:

c) 392

Step-by-step explanation:

4 0
3 years ago
In the 2000 presidential election, three candidates split the vote as follows:
Lera25 [3.4K]

Answer:

c 23 and 0.46 are statistics and 0.484 is a  parameter

True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:

\hat p_{Gore]=\frac{X}{n}=\frac{23}{50}=0.46

Where X represent the people with the characteristic desired in the random sample selected.

So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.  

Step-by-step explanation:

Previous concepts

A parameter is any "numerical quantity that characterizes a given population or some aspect of it". For this case we are interested on proportions and we denote the population proportion by p

A statistic is "used to estimate the value of a population parameter". In other words is just an estimation of the population parameter of interest. Four our case the sample proportion denoted by \hat p represent the statistic for this case.

Solution for the problem

a 0.46 and 0.484 are statistics

False. 0.484 is not an statistic since it's the outcome from the original population and would represent the parameter "proportion of people who vote for Gore"

b 50 and 23 are statistics and 0.484 is a  parameter

False. The sample size is not an statistic is just a value selected in order to calculate the statistic.

c 23 and 0.46 are statistics and 0.484 is a  parameter

True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:

\hat p_{Gore]=\frac{X}{n}=\frac{23}{50}=0.46

Where X represent the people with the characteristic desired in the random sample selected.

So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.  

6 0
3 years ago
How do you find the parameterization of a helix?
Marina CMI [18]

Answer:

\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.

Step-by-step explanation:

A <u>helix</u> is a curve for which the tangent makes a constant angle with a fixed line. The shortest path between two points on a cylinder (one not directly above the other) is a fractional turn of a helix, as can be seen by cutting the cylinder along one of its sides, flattening it out, and noting that a straight line connecting the points becomes helical upon re-wrapping (see attached diagram for helix).

The parametrization for the helix is

\left\{\begin{array}{l}x=r\cos t\\ \\ y=r\sin t\\ \\z=at\end{array}\right.,

where r is the radius of the helix, a is the constant, and t\in [0,2\pi ) is the parameter

7 0
3 years ago
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