Answer:
CD=9
Step-by-step explanation:
ΔABD=>
AD²=AB² + BD² [Pythagorean Theorem]
BD²= AD²-AB²
BD²=9²-3²
BD²=72
BD=√72=6√2....(1)
ΔBCD=>
CD²=BD²+BC²
CD²=(6√2)² + 3²
CD²=72+9
CD²=81
CD=√81
CD=9
Answer:
$44.04
Step-by-step explanation:
14.68 * 3 = 44.04
<span>n=5.6/.04
n=140 the number of nickels.
1140-140=1000 pennies.
proof:
.01*1000+.05*140=17
10+7=17
17=17</span>
Answer:
B. 20/21
Step-by-step explanation:
Tan of an angle is the ratio of the opposite side relative to the angle over the adjacent side.
The opposite side of x is 20 and the adjacent side is 21, so it's 20/21
The equation computed shows that the numbers will be 9, 11 and 13.
<h3>How to illustrate the information?</h3>
Let the numbers be:
First number = x
Second number = x + 2,
Third number = x + 4.
Total of the numbers = 33
The equation will be:
= first + second + third number
x + x + 2 + x + 4 = 33
3x + 6 = 33
Collect like terms
3x = 33 - 6
3x = 27.
Divide both side by 3
3x/3 = 27/3
x = 9
First number = x = 9
Second number = x + 2 = 9 + 2 = 11
Third number = x + 4. = 9 + 4 = 13
The numbers will be 9, 11, and 13.
Learn more about equations on:
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Illustrate the equation to find three consecutive odd integers whose sum is 33.
