Answer:
15. C. segment AC
16. D. angles ACD and DCE
17. C. substitution
18. C. axiomatic systems
19. A. Axioms
20. D. Defined Terms
An ant on the ground is 22 feet from the foot of a tree. She looks up at a bird at the top of the tree, and her line of sight makes 30 degrees with the ground. How far is she from the top of the tree? (Hint: Find x.)
33.6 feet
Answer:
x is all real numbers
Step-by-step explanation:
The domain is the values for the inputs
Since all values are allowed for the input
The domain is all real numbers
Simplify both sides of the equation.
<span><span><span><span>3/5</span>n </span>+ 15 </span>= <span><span><span>2/5</span>n </span>+ 10
</span></span>Subtract 2/5n from both sides.
<span><span><span><span><span>3/5</span>n </span>+ 15 - </span><span><span>2/5</span>n </span></span>= <span><span><span><span>2/5</span>n </span>+ 10 - </span><span><span>2/5</span>n</span></span></span><span><span><span><span>15</span>n </span>+ 15 </span>= 10
</span>Subtract 15 from both sides.
<span><span><span><span><span>1/5</span>n </span>+ 15 - </span>15 </span>= <span>10 - 15</span></span><span><span><span>1/5</span>n </span>= -<span>5
</span></span>Multiply both sides by 5.
<span><span>5 </span></span>× (1/5n) = (5) × (−5)<span>n = -<span><span>25
Answer: n is -25.</span></span></span>
Answer:
1/12
Step-by-step explanation:
Okay, so this will be a compound probability question because there are two parts to the question.
Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.
Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.
Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.
