Represent 24 as a sum of two numbers, first number from first die and second number from second die.
24=19+5=18+6=17+7=16+8=14+10=13+11=12+12=11+13=10+14=9+15=8+16=7+17=6+18=5+19=4+20 (the sums 15+9 and 20+4 are absent, because there aren't numbers: 20 on the first die and number 9 on the second die). Totally, you receive 15 different representations of 24.
<span>The probability that the sum of the two numbers facing up will be 24 is
</span><span>
</span><span>
(here
means that you have 20 possibilities to roll first number or blank face on the first die and 20 possibilities to roll number or blank face on the second die).
</span>
18 wi 18 18 18 18 18 18 18
Answer:
The center of this circle is at . The radius of this circle is .
Step-by-step explanation:
A circle with center and a radius of () could be expressed as:
.
(In other words, a point is on this circle if and only if the distance between that point and the center is equal to the radius.)
Rearrange this equation using binomial expansion to match the equation given in this question:
.
.
The equation in this question is:
.
Match up the coefficients of and in the two equations.:
- Coefficient of : .
- Coefficient of : .
Thus, and .
The constants of the two equations should also match up:
.
Substitute in as well as and solve for :
.
(since .)
Therefore, the center of this circle is . The radius of this circle is .
Answer:
Step-by-step explanation:
Complementary angles form a right angle and supplementary angles form a straight angle.
<h3>#7</h3>
<u>Complementary:</u>
<h3>#8</h3>
<u>Supplementary:</u>
- 2x + 6x + 20 = 180
- 8x = 160
- x = 20
Answer:
Therefore the length of the legs is <em><u>3</u></em>.