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3 years ago

PLS HELP ME PASS THIS CLASS Y’ALL

Mathematics

2 answers:

Y_Kistochka [10]3 years ago

8 0

I think the answer is B hope this would help you

s344n2d4d5 [400]3 years ago

8 0

Answer:

angle of rotation will be 60°

Step-by-step explanation:

The given matrix is

$\begin{bmatrix}\frac{1}{2} & -\frac{\sqrt{3}}{2}\\ \frac{\sqrt{3}}{2} &\frac{1}{2}\end{bmatrix}$

And we have to find the angle of rotation.

Since matrix showing angle of rotation θ is denoted by

$\begin{bmatrix}cos\theta &-sin\theta \\ sin\theta & cos\theta \end{bmatrix}$

Matrix for angle of rotation will be

$\begin{bmatrix}cos60 &-sin60 \\ sin60 &cos60\end{bmatrix}$

Therefore, angle of rotation will be 60°

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In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students

denpristay [2]

Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

$t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}$

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it i tested if the mean difference remains the same, that is:

$H_0: \mu = 0$

At the alternative hypotheses, it is tested if it has decreased, hence:

$H_a: \mu < 0$ .

<h3>What is the test statistic?</h3>

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

The parameters are given as follows:

$\overline{x} = -1.75, s = 7.12, n = 35$ .

Hence the test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}$

More can be learned about the t-distribution at brainly.com/question/16162795

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5 0

2 years ago

In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=52°, and JH = 4.2 feet. Find the length of IJ to the nearest tenth of a foot.

balandron [24]

Answer:3.3

Step-by-step explanation:

5 0

3 years ago

In the right ΔABC, AN is the altitude to the hypotenuse. Find BN, AN, and AC, if AB=2√5 in and NC= 1 in.

kipiarov [429]

Answer:

$BN=4\ \text{in}$

$AN=2\ \text{in}$

$AC=\sqrt{5}\ \text{in}$

Step-by-step explanation:

Let $BN=x$

$BC=c$

$NC=y=1\ \text{in}$

$AB=a=2\sqrt{5}\ \text{in}$

$AC=b$

We have the relation

$\dfrac{BC}{AB}=\dfrac{AB}{BN}\\\Rightarrow \dfrac{c}{a}=\dfrac{a}{x}\\\Rightarrow c=\dfrac{a^2}{x}\\\Rightarrow x+1=\dfrac{a^2}{x}\\\Rightarrow x^2+x=20\\\Rightarrow x^2+x-20=0\\\Rightarrow x=\frac{-1\pm \sqrt{1^2-4\times 1\times \left(-20\right)}}{2\times 1}\\\Rightarrow x=4,-5$

$\boldsymbol{BN=4\ \text{in}}$

$h=\sqrt{a^2-x^2}\\\Rightarrow h=\sqrt{(2\sqrt{5})^2-4^2}\\\Rightarrow h=2\ \text{in}$

$\boldsymbol{AN=2\ \text{in}}$

$b=\sqrt{h^2+y^2}\\\Rightarrow b=\sqrt{2^2+1^2}\\\Rightarrow b=\sqrt{5}\ \text{in}$

$\boldsymbol{AC=\sqrt{5}\ \text{in}}$

8 0

3 years ago

What is true when the plane is 100 meters away from takeoff? Check all that apply. The given information is the SSS case. The gi

givi [52]

Two triangle are congruent when the shape and size of both the triangle are same. The given information is the SAS case.

To find the form of the case we need to know about the triangle congruence theorem.

<h3>What is triangle congruence theorem?</h3>

Two triangle are congruent when the shape and size of both the triangle are same.

Triangle congruence theorem are-

Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.

Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent.

Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.

Given information-

Evelyn is 104 meters from the take off.

The angle of elevation of the plane is 12°.

The plane is 100 meters away from the takeoff point.

The distance is 100 meters and 104 meters. The other two sides , as are same and the angle of elevation is also same for this case (12 degrees).

Thus the two triangle formed which are congruent.

As above discussed the case of SAS exists for the triangle congruence theorem.

Hence the given information is the SAS case.

Learn more about the triangle congruence theorem here;

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2 years ago

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Soloha48 [4]

Hello!

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