The value of sin A is equal to ![\frac{5}{13}.](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B13%7D.)
<h3>RIGHT TRIANGLE</h3>
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. In this triangle from the trigonometric ratios or the Pythagoras Theorem (
), it is possible finding angles or sides.
<h3>Trigonometric Ratios</h3>
The main trigonometric ratios for a right triangle are presented below.
![sin\alpha =\frac{opposite \; side}{hypotenuse}](https://tex.z-dn.net/?f=sin%5Calpha%20%3D%5Cfrac%7Bopposite%20%5C%3B%20side%7D%7Bhypotenuse%7D)
![cos\alpha =sin\alpha =\frac{adjacent\; side}{hypotenuse}](https://tex.z-dn.net/?f=cos%5Calpha%20%3Dsin%5Calpha%20%3D%5Cfrac%7Badjacent%5C%3B%20side%7D%7Bhypotenuse%7D)
![tan\alpha =\frac{opposite \; side}{adjacent\; side}](https://tex.z-dn.net/?f=tan%5Calpha%20%20%3D%5Cfrac%7Bopposite%20%5C%3B%20side%7D%7Badjacent%5C%3B%20side%7D)
The question asks the sin A. First, you should find the hypotenuse from Pythagoras Theorem.
![hypotenuse^2=(10)^2+(24)^2\\ \\ hypotenuse^2=100+576\\\\ hypotenuse^2=676\\ \\ hypotenuse=26](https://tex.z-dn.net/?f=hypotenuse%5E2%3D%2810%29%5E2%2B%2824%29%5E2%5C%5C%20%5C%5C%20hypotenuse%5E2%3D100%2B576%5C%5C%5C%5C%20hypotenuse%5E2%3D676%5C%5C%20%5C%5C%20hypotenuse%3D26)
Now you can find sin A.
![sin\A=\frac{10}{26}=\frac{5}{13}](https://tex.z-dn.net/?f=sin%5CA%3D%5Cfrac%7B10%7D%7B26%7D%3D%5Cfrac%7B5%7D%7B13%7D)
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7 x 110 = 7(50 + 60) = 350 + 420 = 770
Answer:
Is there a picture or a graph? There isn;t enough evidence to graph ordered pairs and points without even knowing the coordinates.
Step-by-step explanation:
The vertex of the parabola is (1, 2), focus of the parabola is (-2, 2), and directrix x = 4.
<h3>What is a parabola?</h3>
It is defined as the graph of a quadratic function that has something bowl-shaped.
We have a parabola equation:
![\rm x = -\dfrac{1}{12}(y-2)^2+1](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20-%5Cdfrac%7B1%7D%7B12%7D%28y-2%29%5E2%2B1)
The standard form of the parabola:
![\rm x = \dfrac{1}{4(f-h)}(y-k)^2+h](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B1%7D%7B4%28f-h%29%7D%28y-k%29%5E2%2Bh)
(h, k) is the vertex of the parabola and (f, k) is the focus.
![\rm x = \dfrac{1}{4(-2-1)}(y-2)^2+1](https://tex.z-dn.net/?f=%5Crm%20x%20%3D%20%5Cdfrac%7B1%7D%7B4%28-2-1%29%7D%28y-2%29%5E2%2B1)
h = 1, k =2, and f = -2
The directrix is x = 4
Thus, the vertex of the parabola is (1, 2), focus (-2, 2), and directrix x = 4.
Learn more about the parabola here:
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Answer:
The correct answer is D. It is not true that cluster sampling uses randomly selected clusters and samples everyone within each cluster.
Step-by-step explanation:
Cluster sampling is a method of collecting samples and statistical data, by means of which a certain group formed by people, things, events, etc., is taken as a sample, which are not considered individually but as part of a whole, which is in turn a proportional representation of the universality of samples available in the field.
Now, since this type of sampling allows to embrace large groups of sample units, data are not always obtained from all the components of the cluster, but from those necessary to be able to quantify the desired statistics.