What are some HARD math facts that equal 100

Mathematics

1 answer:

Lelu [443]3 years ago

6 0

0.10 *1000 = 100

0.2 * 500 = 100

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The hypotenuse of the right triangle is 5 meter long. the shorter leg is 1 Meter shorter than the longer leg. find the side leng

Firlakuza [10]

Shorter leg = x

Longer leg = x +1

Length of the hypotenuse: 5 m

We can use the pythagorean theorem with the information given. Doing so, we have:

$\begin{gathered} a^2+b^2=c^2 \\ (x)^2+(x+1)^2=5^2\text{ (Replacing the values)} \\ x^2+x^2+2x+1=25\text{ (Raising both terms to the power of 2)} \\ x^2+x^2+2x=25-1\text{ (Subtracting 1 from both sides of the equation)} \\ 2x^2+2x=24\text{ (Adding like terms)} \\ 2x^2+2x\text{ }-24=0\text{ (Subtracting 24 from both sides of the equation)} \\ 2(x+4)(x-3)=0\text{ (Factoring)} \\ x1=-4\text{ (Since x=-4 makes the factor (x+4) equal to 0)} \\ x2=3\text{ (Since x=3 makes the factor (x}-3\text{) equal to 0)} \\ \text{ Since we need a positive solution x would be equal to 3} \end{gathered}$

So, the answers would be:

Shorter leg = 3 m

Longer leg = 4 m

Length of the hypotenuse: 5 m

6 0

1 year ago

Please help i need it for tomorrow

kobusy [5.1K]

Answer:

x = 3

Step-by-step explanation:

All three vertical lines are parallel and that makes the angle with measure of 67 degrees and the angle with measure represented by 23x - 2 are alternate and equal:

67 = 23x - 2 add 2 to both sides

69 = 23x divide both sides by 23

3 = x

8 0

3 years ago

Solve the logarithmic equation using properties of logs. Round to the nearest thousandth if necessary.

Scilla [17]

Answer:

Step-by-step explanation:

the answer is 5

6 0

2 years ago