Calculate the area of triangle OPQ.

Mathematics

1 answer:

Leona [35]2 years ago

5 0

Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.

<h3>Is this triangle solvable?</h3>

In this question we must analyze if the area of the triangle OPQ can be found by all information given. By the law of the cosines we understand that lengths of two sides and the measure of an angle should be known to construct a triangle and by the law of the sines we understand that either two angles and a side or two sides and an angle must be known.

Thus, we need information about the sides OQ and PQ to solve the triangle and find the area. The information given is not enough to determine the area of the triangle.

To learn more on triangles: brainly.com/question/25813512

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Suppose that when you factor 4t^6-r^10, you get (2t^x+r^y)(2t^x-r^y). determine the sum of t and r.

Alexxandr [17]

Answer:

Step-by-step explanation:

Given the expression

4t^6-r^10 we are to factorize in the form;

(2t^x+r^y)(2t^x-r^y)

First we need to factorize (2t^x+r^y)(2t^x-r^y)

$= (2t^x+r^y)(2t^x-r^y)\\= 4t^{2x}-2t^xr^y + 2t^xr^y - r^{2y}\\= 4t^{2x}-r^{2y}$

Compare $4t^{2x}-r^{2y} \ with \ 4t^6-r^{10}$

$4t^{2x} = 4t^6\\t^{2x} = t^6\\equate \ the \ powers\\2x = 6\\x = 3\\$

Get y;

$r^{2y} = r^{10}\\2y = 10\\y = 5\\Hence \ x + y = 3+5 = 8$

Hence the sum of x and y is 8

5 0

3 years ago

1) Diego measured the number of cups of water in 15 bottles of various sizes. He

Ivan

Answer:

$8\frac{3}{4}$ cups.

Step-by-step explanation:

From the line plot made by Diego which represents bottle sizes in cups, we can see that the most common size is the bottle having 1¾ cups (there are 5 of this sizes).

If he poured all 5 of this bottle sizes in 1 container, he would have the following:

$1\frac{3}{4} * 5 = \frac{7}{4}*5 = \frac{35}{4}$