All categories

3 years ago

Find the length of the hypotenuse of a 45°-45°-90° triangle with a leg length of 8 centimeters.

Mathematics

1 answer:

MArishka [77]3 years ago

3 0

Answer:

8 $\sqrt{2$ = $\sqrt{128$ = 11.31

Step-by-step explanation:

You might be interested in

What does "As Much" mean in math? I am doing homework and I don't want to fail so I really need help.

igor_vitrenko [27]

It means the same used in a question like this, is 25 as much as 25.

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5C%7B%20%5Cfrac%20%7B%20%28%20%5Csqrt%20%7B%203%20%7D%20%29%20%5Ctimes%203%20%5E%20%7B%20-%20

ZanzabumX [31]

Answer:

Step-by-step explanation:

Exponent law:

$\sf \bf a^m * a^n = a^{m+n}\\\\ (a^m)^n = a^{m*n}$

$\sf a^{-m}=\dfrac{1}{a^m}$

First convert radical form to exponent form and then apply exponent law.

$\sf \sqrt{3}=3^{\frac{1}{2}}\\\\\sqrt{5}=5^{\frac{1}{2}}$

$\sf \left(\dfrac{(\sqrt{3}*3^{-2}}{(\sqrt{5})^2}\right)^{\frac{1}{2}}= \left(\dfrac{3^{\frac{1}{2}}*3^{-2}}{(5^{\frac{1}{2}})^2} \right )^{\frac{1}{2}}$

$= \left(\dfrac{3^{\frac{1}{2}-2}}{5^{\frac{1}{2}*2}}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{1-4}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\left(\dfrac{3^{\frac{-3}{2}}}{5}\right)^{\frac{1}{2}}\\\\=\dfrac{3^{\frac{-3}{2}*{\frac{1}{2}}}}{5^{\frac{1}{2}}}\\\\ =\dfrac{3^{{\frac{-3}{4}}}}{5^{\frac{1}{2}}}$

3 0

2 years ago

Simplify 4 1/2 x 2 3/5 8 3/7 117/7 8 3/10 11 7/10

Lynna [10]

Answer:

$\frac{27}{5} = 5 \frac{2}{5}$

Step-by-step explanation:

4 1/2 × 2 3/5

9/2 × 2 × 3/5

9 × 3/5

= 27/5 = 5 2/5

8 0

2 years ago

3. WEDNESDAY (5/20): The minimum of the graph of a quadratic function is located at (-1,2). The point (2, 2015

Vadim26 [7]

Answer:

C.) f(x) = 2x^2 + 4x + 4

Step-by-step explanation:

The equation of the parabola with vertex (h,k) is y=a(−h+x)^2+k.

Thus, the equation of the parabola is y=a(x+1)^2+2.

To find a, use the fact that the parabola passes through the point (2,20): 20=9a+2.

Solving this equation, we get that a=2.

Thus, the equation of the parabola is y=2(x+1)^2+2.

TO STANDARD FORM

= 2*(x^2+2x+1)+2

=(2x^2+4x+2)+2

= 2x^2+4x+2+2

= 2x^2+4x+4

8 0

3 years ago

2. Amy is paid $5.50 per hour. How much did she make this week? she worked a total of 32 hours.

love history [14]

Answer:

Amy earned 176 dollars that week

4 0

2 years ago