All categories

2 years ago

The hypotenuse of a right triangle is 15 cm. One of the triangles legs is two times the length of the other leg

Mathematics

1 answer:

Scilla [17]2 years ago

8 0

Step-by-step explanation:

to solve you will use the formula c2=a2+b2 where c2 is always the hypotenuse and a2 and b2 are the rest of the sides. So c2 will be (15)2 and a2 will be (2x)2 while b2 will be represented by x2.
Calculate (15)2=(2x)2+x2
You will get 225=4x2+x2
4x2+x2 will give you 5x2
Then you will divide 225 by 5x2 and find the square root of it.
√45 is an irritational number since it has no perfect square so you will use the long division method.
Your answer will be 6.708

You might be interested in

<img src="https://tex.z-dn.net/?f=0%20%3D%20%20%20-%204.9t%20%7B%7D%5E%7B2%7D%20%20%2B%2027t%20%2B%202.4" id="TexFormula1" title

marta [7]

$0 = - 4.9t {}^{2} + 27t + 2.4$
Convert decimals to fractions

$0 = - \frac{49}{10} t {}^{2} + 27t + \frac{12}{5}$
Multiply both sides by 10

$0 = - 49t {}^{2} + 270t + 24$
Move expression to the left.

$0 + 49t {}^{2} - 270t - 24 = 0$
Remove zero.

$49t {}^{2} - 270t - 24 = 0$ Solve the quadratic equation.

$t = \frac{ - ( - 270) + - \sqrt{( - 270) {}^{2} - 4 \times 49 \times ( - 24) } }{2 \times 49}$
Remove parenthesis and calculate.

$t = \frac{270 + - \sqrt{72900 + 4704} }{98}$
Add the numbers

$t = \frac{270 + - 77604}{98}$
Separate the solutions

$t = \frac{270 + \sqrt{77604} }{98} \\ t = \frac{270 - \sqrt{77604} }{98}$
The final solution are
$t1 = \frac{270 - \sqrt{77604} }{98} , t2 = \frac{270 + \sqrt{77604} }{98}$

7 0

3 years ago

I will give brainliest -50-c=5c-2 Show work pleasee

Lilit [14]

Answer:

- 8

Step-by-step explanation:

Step 1:

- 50 - c = 5c - 2 Equation

Step 2:

- 50 = 6c - 2 Add c on both sides

Step 3:

- 48 = 6c Add 2 on both sides

Step 4:

- 48 ÷ 6 Divide

Answer:

c = - 8

Hope This Helps :)

6 0

3 years ago

Read 2 more answers

A lock has a 3-number code made up of 16 numbers. If none of the numbers are allowed to repeat, how many different ways can you

MrMuchimi

Answer:

137

Step-by-step explanation:

6 0

3 years ago

A student must have an average (the mean) on five tests that is greater than or equal to 80% but less than 90% to receive a f

Greeley [361]

46 <= grade < 96 First, let's write the equation for the lower limit that the student must get for a B. (x + 92 + 82 + 88 + 92)/5 = 80 Multiply both sides by 5 giving x + 92 + 82 + 88 + 92 = 400 Subtract 92, 82, 88, 92 from both sides x = 400 - 92 - 82 - 88 - 92 = 46 So the student has to get 46 or higher on the test to make a B. Now let's compute the upper limit (x + 92 + 82 + 88 + 92)/5 < 90 Multiply both sides by 5 (x + 92 + 82 + 88 + 92) < 450 Subtract 92, 82, 88, 92 from both sides x < 450 - 92 - 82 - 88 - 92 ) = 96 So the student has to get a grade of less than 96 to get a B.

8 0

3 years ago

3 is 12 percent of what number

MatroZZZ [7]

Answer:

That would be 25 :)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers