The probability of randomly picking one of those dishes is <span><span>8</span></span><span> out of </span><span><span>20</span></span><span>, or 8/20. We can simplify that down to 2/5. </span>
65.4(degrees)
X=100'
I think
Answer:
C. 98
Step-by-step explanation:
The sum of angles interior to a triangle is 180°, so you have ...
x + 38° + 44° = 180° . . . the sum of the angles (this is your equation)
x + 82° = 180° . . . . . . . . collect terms
x = 180° -82° . . . . . . . . . subtract 82° from both sides of the equation
x = 98° . . . . . . . . . . . . . . do the arithmetic
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<em>Comment on the equation</em>
The relations you learn about in math and geometry can all be translated to equations. When you learn "something" <em>is</em> "something else", anytime you have "something", you can always write the equation ...
something = (something else)
When you find out "the sum of angles" is "180 degrees", that means you can write the equation ...
(sum of angles) = 180°
Of course, you find a sum by adding things up. In this case, you're adding up the values of the angles: x, 38°, 44°. The next step is to use the rules of algebra to solve the equation for x.
Answer:
Step-by-step explanation:
height of pyramid = √(10²-(5/2)²) = √93.75
volume of pyramid = ⅓b²h = ⅓·5²√93.75 ≅ 80.69 in³
lateral area = 2×5×10 = 100 in²
base area = 5² = 25 in²
surface area = 100+25 = 125 in²