Two sides of a right triangle have the lengths 4 and 5. What is the product of the possible lengths of the third side? Express the product as a decimal rounded to the nearest tenth.

Answers

Answer 1
Answer:

Answer:

19.2

Step-by-step explanation:

1st Case:

4 and 5 are legs of the right triangle.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+5^2=x^2

16+25=x^2

41=x^2

x=√41

√41 is about 6.4

x=6.4

2nd Case

5 is the hypotenuse of the right triangle and 4 is the legs.

Using the pythagorean therom: a^2+b^2=c^2

We can say that 4^2+x^2=5^2

16+x^2=25

x^2=9

x=3

Final Step

We need to multiply the two possible lengths for x. So for case 1 the length of x was 6.4 and for case two the length was 3. 6.4*3=19.2

Anwser: 19.2


Related Questions

Blakemore elementary school has 1,000 students. each of the 15 student council members of Blakemore Elementary School is responsable for telling exactly 2 other students about the upcoming school pep assembly. Each of those 2 is then responsable for telling 2 other students. It takes 15 minutes for each round of students to be told. How many minutes will take for 1,000 students to receive the information about the pep assembly?Minute               students               total number of students told0                          15                           1515                         30                          15+30=4530                          60                         45+60=105
Simplify:3x×2x×x⁴ plz help me I am confuse I think the answer is 6x⁶ It is or not plz help me❤️❤️​
How do i convert 35/6 to a mixed number
Translate the phrase into a mathematical expression and then evaluate it. Four squared divided by two cubed.
Shelly and Terrence completed x tasks in a game. Terrence's total points were 20 less than Shelly's total. The expression below shows Terrence's total points in the game: 90x - 20What does the first term of the expression represent? The total points Shelly earned The number of tasks Terrence completed The sum of Shelly and Terrence's total points The number of tasks Shelly completed

What's a equation for $150 dollars for 50 T-Shirts

Answers

150 devided by 50 = 30

An expression to convert 50 miles per hour to miles per minute is shown.What value can be entered in the box to correctly make this conversion?

Answers

Divide miles by 60 to convert it to miles per minute because there are 60 minutes in an hour.

Reserved seats for the football game cost $4.00 each and general admission tickets for $3.00 each. After the game was over, it was found that 1787 total tickets were sold and $5792 was made. Find the number each sold . SHow your work

Answers

There were 431 reserve seat tickets and 1356 general admission tickets sold.

What is Cost Function?

A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels. In other words, it estimates the total cost of production given a specific quantity produced.

Let 'x' represent the number of reserve seats that were sold,

then '1787-x' represents the number of general admission tickets sold

we then have the following cost equation:

5792 = 4x + 3(1787-x)

solving for 'x' we have:

x = 431

1787-431 = 1356

Thus, there were 431 reserve seat tickets and 1356 general admission tickets sold.

Learn more about Cost Function from:

brainly.com/question/13288616

#SPJ2

Equation for tickets sold:                        Equation for money made:
x+y=1787                                              4x+3y=5792
Solve for x using substitution:
x=1787-y
Plug it into the other equation to find the value of y:
4(1787-y)+3y=5792
7148-4y+3y=5792
-y=-1356
y=1356
Now plug y back into any equation:
x+1356=1787
x=431

1356 general admission tickets were sold, and 431 reserved seats were sold.


Kate wants to have $25,000 in 16 years. How much does she need to invest if the interest rate is 6 percent per year?A.) $10,431.63
B.) $9,841.16
C.) $7,353.88

Answers

Answer:

its b

im on plato and got it right

I'm guessing that its c

Irwin rode his bicycle from one end of a trail to another and back at a speed of 20 miles per hour. If the trail is 4 miles long, for how many hours was Irwin riding?0.2 hours
0.4 hours
2.5 hours
5.0 hours

Answers

Answer:

C. 2.5

Step-by-step explanation:

Hope this helps and please mark Brainliset!

Answer:

i would say 0.4

Step-by-step explanation:

i really really really hope this is right

if it's not I'm going to be very sad

What is the domain (in interval notation) of the following functions?1. g(x)=3/(5x-4)
2. h(x)=√(x)/(x-5)
3. f(x)=√(x)/(x^2-5x)
4. g(x)=(√(x)+5)/(x^2-x-20)
5. h(x)=3/(x^2+1)
6. f(x)=(√(x-2))/(x+1)
7. g(x)= x^2/(3x^2-x-2
8. h(x)=3(x-4)^2-7
Number sets in parenthesis are either on top of or beneath the fraction bar and ^2 here represents a number squared.

Answers

1.\ng(x)=(3)/(5x-4)\n\nD:5x-4\neq0\to5x\neq4\ \ \ /:5\to x\neq(4)/(5)\to x\in\mathbb{R}\ \backslash\ \{(4)/(5)\}\n\n2.\nh(x)=(√(x))/(x-5)\n\nD:x\geq0\ \wedge\ x-5\neq0\to x\geq0\ \wedge\ x\neq5\to x\in\left<0;\ \infty\right)\ \backslash\ \{5\}

3.\nf(x)=(√(x))/(x^2-5x)\n\nD:x\geq0\ \wedge\ x^2-5x\neq0\to x\geq0\ \wedge\ x(x-5)\neq0\n\n\to x\geq0\ \wedge\ x\neq0\ \wedge\ x\neq5\to x\in\mathbb{R^+}\ \backslash\ \{5\}\n\n4.\ng(x)=(√(x)+5)/(x^2-x-20)\n\nD:x\geq0\ \wedge\ x^2-x-20\neq0\to x\geq0\ \wedge\ (x+4)(x-5)\neq0\n\n\to x\geq0\ \wedge\ x\neq-4\ \wedge\ x\neq5\to x\in\left<0;\ \infty\right)\ \backslash\ \{-4;\ 5\}

5.\nh(x)=(3)/(x^2+1)\n\nD:x^2+1\neq0\to x^2\neq-1\to x\in\mathbb{R}\n\n6.\nf(x)=(√(x-2))/(x+1)\n\nD:x-2\geq0\ \wedge\ x+1\neq0\to x\geq2\ \wedge\ x\neq-1\to x\in\left<2;\ \infty\right)

7.\ng(x)=(x^2)/(3x^2-x-2)\n\nD:3x^2-x-2\neq0\to (3x+2)(x-1)\neq0\to x\neq-(2)/(3)\ \wedge\ x\neq1\n\n\to x\in\mathbb{R}\ \backslash\ \{-(2)/(3);\ 1\}\n\n8.\nh(x)=3(x-4)^2-7\n\nD:x\in\mathbb{R}