Answer:
Step-by-step explanation:
The Pythagorean theorem tells us that , where a and b are the legs of a right triangle. If the length of each leg is x, we know by applying the theorem that , so . Applying the square root on both sides we get
Answer:
9672
Step-by-step explanation:
Population growth can be represented by the equation . We know the rate at which it grows is 1.36%. For the formula, we use the decimal conversion which is r=0.0136. We find the amount of time that has passed between 200 and 2006 is t=6 years. In this context, the starting population is . We substitute and solve for A.
We solve with a calculator by evaluating the exponent first and then multiplying by 8914.
.
The solution is 9671.88356154 but we round to 9672.
you apply the concept of vertical angles and 180-degree angle
add 43 and 74 to get 117 now subtract it by 180 you get <u>63</u> for angle 1
now since angle 1 and 2 are vertical they are both <u>63</u>
<u></u>
now for angle 3 you add 63 plus 79 is 142 so, we subtract 142 by 180
therefore, angle 3 is <u>38</u> degrees
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remember angles cannot be negative at all!
Answer:
Slope of line A is 1/3
Equation of Line B is y = 2x + 4
Answer:
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
The relation is not a function.
Step-by-step explanation:
Given the relation: t{(−1,0),(7,0),(−1,9),(−6,−9)}
In the ordered pairs:
- The domain is the set of all "x" values
- The range is set of all "y" values
- We do not need to list any repeated value in the range/domain more than once.
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
Next, we determine whether the relation is a function.
For a relation to be a function, each x must correspond with only one y value.
However, as is observed in the mapping attached below:
The x-value (-1) corresponds to two y-values (0 and 9)
Therefore, the relation is not a function.