Answer:
Area: 1,200 square centimeters. Perimeter: 140 centimeters.
Step-by-step explanation:
Since you have to multiply the length and width in order to find the area, multiply 30 and 40 together and you can find 1,200. Next, to find the perimeter you have to add all the lengths of the rectangular swimming pool, which will result in 140 centimeters.
Using relations in a right triangle, it is found that:
The ratio of 8 to 15 is equals to tan B.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
Researching the problem on the internet, we have that:
- The side opposite to angle B has a length of 8 feet.
- The side adjacent to angle B has a length of 15 feet.
Hence the tangent of B is:
tan(B) = 8/15.
Which means that:
The ratio of 8 to 15 is equals to tan B.
More can be learned about relations in a right triangle at brainly.com/question/26396675
#SPJ1
well, lateral area means only the area of the sides, namely just the four triangular faces.
<h3>
Answer: 16 units</h3>
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Explanation:
Segment PJ is perpendicular to segment YZ
So triangle PJZ is a right triangle with the known leg ZJ = 12, unknown leg PJ = x, and known hypotenuse PZ = 20.
Let's say a = 12, b = x, c = 20.
Use the Pythagorean theorem to find x
a^2 + b^2 = c^2
12^2 + x^2 = 20^2
144 + x^2 = 400
x^2 = 400-144
x^2 = 256
x = sqrt(256)
x = 16
Therefore segment PJ is 16 units long.
Side note: the angle bisectors won't always form 90 degree angles with the opposite sides. These angle bisectors are also altitude lines because of the 90 degree angles that form.