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RSB [31]
2 years ago
14

In ΔRST, the measure of ∠T=90°, the measure of ∠R=67°, and TR = 94 feet. Find the length of RS to the nearest tenth of a foot...

...

Mathematics
2 answers:
scZoUnD [109]2 years ago
8 0

Answer:

240.6 ft is your answer of your question.

erastovalidia [21]2 years ago
5 0

Answer:

<h2>240.6 feet</h2>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • trigonometry
  • PEMDAS
<h3>let's solve:</h3>

to find x we will use cos function

\quad \:  \cos( \theta)  =  \dfrac{adj}{hypo}

substitute the value of \theta and adj:

\quad \:  \cos(  {67}^{ \circ} )  =  \dfrac{94}{x}

cross multiplication:

\quad \: x\cos(67^{\circ})= 94

divide both sides by cos(67°) :

\quad \:  \dfrac{x \cos( {67}^{ \circ} ) }{ \cos(  {67}^{ \circ} ) }   =  \dfrac{94}{ \cos( {67}^{ \circ} ) }  \\  \therefore \: x = 240.6

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Un triangolo rettangolo isoscele è metà quadrato. L'ipotenusa è la diagonale del quadrato, e i cateti sono i lati del quadrato.

Nei quadrati abbiamo

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2 years ago
The mean diastolic blood pressure for a random sample of 80 people was 100 millimeters of mercury. If the standard deviation of
polet [3.4K]

The confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41 where the lower limit is 97.59 and the upper limit is 102.41

<h3>How to determine the confidence interval?</h3>

We have:

Mean = 100

Sample size = 80

Standard deviation = 11

At 95% confidence interval, the critical z value is:

z = 1.96

The confidence interval is then calculated as:

CI  = \bar x \pm z \frac{\sigma}{\sqrt n}

So, we have:

CI  = 100 \pm 1.96 \frac{11}{\sqrt {80}}

Evaluate the product

CI  = 100 \pm \frac{21.56}{\sqrt {80}}

Divide

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Split

CI  = (100 - 2.41,100 + 2.41)

Evaluate

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Hence, the confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41

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5 0
2 years ago
Please i need it for now PLSSSS
bearhunter [10]

The measure of the other side of a quadrilateral is 3\sqrt{13} cm.

In the given quadrilateral one side is unknown we need to find the unknown side.

By dividing the given quadrilateral into a rectangle and a triangle we can find the other side.

<h3>What is Pythagoras theorem?</h3>

The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides. That is, c^{2}=a^{2}+b^{2}.

Now, x^{2} =9^{2}+6^{2}=81+36=17

⇒x=\sqrt{13 \times 9} =3\sqrt{13}

Therefore, the measure of the other side of a quadrilateral is 3\sqrt{13} cm.

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The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y &lt; −2x + 10 y &lt; 1 o
VashaNatasha [74]

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When the coordinate grid shows points A through, the point that is a solution to the system of inequalities is negative 6 point G at negative 3, negative 10 point H at negative 4.

Finally, the graph that represents the following system of inequalities: y ≤ −3x + 1 y ≤ 1 over 2x + 3 is the graph of two intersecting lines where both lines are solid.

One line of x passes through points negative 2, 2 and 0, 3 and is shaded above the line. The other line g of x passes through points 0, 1 and 1, negative 2 and is shaded above the line.

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