The probability is 1/36.
since the cube is numbered 1-6, the only way to roll a 12 is by getting 2 six’s.
1/6 • 1/6 = 1/36
From the two right triangles, you can write the following equations using the Pythagorean theorem. Let's call that shared leg in the middle "y"
y^2 + b^2 = a^2
y^2 + c^2 = x^2
y^2 + b^2 = a^2
re-write this to get "y" alone for substitution.
y^2 = a^2 - b^2
substitute (a^2 - b^2) for y^2 in the other equation. y^2 + c^2 = x^2
a^2 - b^2 + c^2 = x^2
Now put in the values given for a,b,c to solve for x
(7.1)^2 - (5.6)^2 + (5.7)^2 = x^2
51.54 = x^2
square root
7.2 = x
Answer:
x = 17
Step-by-step explanation:
Hi there!
Because this is an isosceles triangle, we know that the angles measuring (x+17°) and (4x+34°) are congruent. Knowing this, we can set up the following equation and solve for <em>x</em>:
x+17 = 4x-34
17 = 3x-34
0 = 3x-51
3x = 51
x = 17
Therefore, the value of <em>x</em> is 17.
I hope this helps!
Answer:
14.13 units^2.
Step-by-step explanation:
The area of a circle is found by doing pi * r^2. In this case, the diameter is 6. 6 / 2 = 3. So, r = 3.
pi * 3^2 = pi * 9 = 9pi.
This is a semicircle, so the area will be half of the whole circle.
9pi / 2 = 4.5 * pi = 4.5 * 3.14 = 14.13 units^2.
Hope this helps!
