Answer:
Step-by-step explanation:
The given triangle is a right triangle, meaning it is a triangle with a right angle, this is indicated by the box around one of the angles. When given a right triangle, one can use the right triangle trigonometric ratios. These ratios describe the relationship between an angle in a right triangle, and the sides in a right triangle. Such ratios are as follows,
Bear in mind that the way one names the sides, in the sense of (opposite or adjacent) will change based on the angle one uses to describe the triangle. However, the hypotenuse is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this case, one is given one of the angles, and the side opposite the angle. One is asked to find the hypotenuse of the triangle. One can use the sine (sin) ratio to achieve this.
Substitute,
Inverse operations,
Simplify,
Answer:
576 Sq.units
Step-by-step explanation:
Multiply all of the numbers together
If the 2 given points are endpoints, then we're in business. The formula for the midpoint is
. If the endpoints of our segment are the coordinates (1,2) and (12,14), our formula would be filled in as follows:
which simplifies to (13/2, 8). See? It's pretty simple once you know how to do it.
Answer:
Step-by-step explanation:
Start by determining the simpler angle 
(or, the complement of the highlighted angle in red on your image). The cosine of that angle is
Now, back to the actual red-circled angle. That one is going in the negative direction and ends up in the same position on the unit circle. Since cosine is an even function, its value is the same whether you evaluate at an angle theta, or its complement 2pi-theta. So, the final answer is:
The value of y that ensures the pool is a rectangle is 3. Option D
<h3>How to determine the value</h3>
The formula for perimeter of a rectangle is expressed as;
Perimeter = 2 ( length + width)
It is important to note that parallel sides of a rectangle are congruent, that is, they are equal.
Given the sides as;
5y + 6 = 8y -3
collect like terms
5y - 8y = -3 - 6
-3y = -9
Make 'y' the subject
y = 3
Thus, the value of y that ensures the pool is a rectangle is 3. Option D
Learn more about rectangles here:
brainly.com/question/25292087
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