Answer:
20√3 cm
Step-by-step explanation:
Altitude of an equilateral triangle splits it into 2 equal right triangles, it bisects the base and the angle opposite to the base.
<u>Let the altitude be x. Then as per Pythagorean theorem:</u>
- x² = 40² - (40/2)²
- x²= 1600 -400
- x²= 1200
- x= √1200
- x= 20√3 cm
<u>Correct choice is</u> the second one
The formula is length*width*height. Your answer is 105 inches
The possibilities of an even number are 2, 4, 6, 8, 10, 12, 14, and 16 .
The possibilities of an odd prime are 3, 5, 7, 11, and 13.
8 even numbers + 5 odd primes = 13 possibilities of success
out of 16 total possible outcomes.
Probability of success = 13/16 = 0.8125 = 81.25% .
Rounded to the nearest thousandth, it's 0.813 .
<span>Outcome Bag of Gold Magic Wand
Relative frequency 0.32 0.68
</span><span>The relative frequency of getting a bag of gold is .......... reasonably close
</span>
.32 is close to 30% so
<span>Alison's claim about the theoretical probability is likely to be 2............true
Further, this means that the theoretical probability of getting a magic wand is most likely 3............1 - 30% = 70%</span>
E: 36 because the total degrees of a parallelogram is 360 and opposite angles of parallelogram’s are equal so the angles diagonal from the given ones are the same. So the corners are 3x, 2x, 3x, 2x. In total that is 10x. 360/10 = 36
