The answer to your question is 53 and 47
Answer: The area of the triangle with the perimeter of 540 cm is approximately 10200 cm²
More exactly: 10182 cm²
Step-by-step explanation: 
240 × 84.85 = 10182
To get the height of the triangle, it takes some trigonometry;
Given 3 sides of a triangle, it is possible to calculate the angles using the Law of cosines and the formula 
We will need the measure of angle A, then use the sine of A to get the height of the line from angle C perpendicular to the base, side b.
We can use the dimensions given in the proportions and then multiply by 10 because the sides given add to a perimeter of 54, one tenth of the 540 cm of the actual triangle. The angles of the similar triangles are congruent.
side a = 19, side b = 24, side c = 11
24² + 11² - 19² is 576 + 121 - 361 = 336
2(24)(11) = 528
cos A = 336 / 528 that is 0.636364
= 50.47°
sin(50.47) = 0.77129
0.77129 × 11 = 8.48 is the height Rounding to 8.5 would be reasonable for this height
Using rounded values here to calculate Area :
85 × 240/2 = 10200 cm²
Answer:
<h3>9.43</h3>
Step-by-step explanation:
The formula for calculating the distance between two points is expressed as
D =√(x2-x1)²+(y2-y1)²
Given the coordinates (0,0) and (8,5)
D = √(5-0)²+(8-0)²
D = √5²+8²
D = √25 + 64
D = √89
<em>D = 9.43</em>
<em>Hence the distance between the life guard and the swimmer is 9.43</em>
<em></em>
Answer:
The solutions are:

Step-by-step explanation:
Considering the expression
Solving the expression












So,

Therefore, the solutions are:

The probability that 2 men are selected is 49/144
Probability is the likelihood or chance that an event will occur.
If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people
- Pr(2 men are selected) = 7/12 * 7/12
- Pr(2 men are selected) = 49/144
Hence the probability that 2 men are selected is 49/144
Learn more on probabaility here:brainly.com/question/24756209