Answer:
32.3
Step-by-step explanation:
First we want to make a triangle like on the left side, so make a new point on AD that is directly below C, we'll call this E.
We know CE is 6 because it's the same as that line going down from B, let me know if you do not see that.
now we want to find the last leg of this new triangle CED, the non hypotenuse. We know AD is 24 CM. It is now sebarated into three parts, the beginning part in the left most triangle, the 10 cm between the triangles and the side we want to find. Since we know the middle part we want to find the left part.
The left part of AD can be found with the pythagorean theorem. 
this can be turned into 
Now we know 24 = 10 + 4.5 + y, with y being the right part. So now we know y=9.5
Back to the new triangle, we know two sides and want to find an angle, so we can do some inverse trig functions. Relatie to the angle we want to find we have the opposite (6) and the adjacent (9.5) so we use tangent. tan(theta)= o/a = 6/9.5. Using the inverse of tangent or arctan (because it's easier to type) arctan(6/9.5)=32.276 which rounds to 32.3. Again, let me know if you need help with any of this.
Answer:
B. )The graph of g(x) is a translation of the graph of f(x) right 6 units.
Step-by-step explanation:
When a positive number is directly added to an "x" variable (usually inside of parentheses), the graph is shifted to the left that many units.
When a negative number is directly added to an "x" variable, the graph is shifted to the right that many units.
A graph shifts up or down when a positive or negative number is added to the overall function. For example, if the -6 were outside of the parentheses, the graph would be translated 6 units downwards.
Marcia can write an expression for the number of candles she will have at the end of "h" hours. She can also write an expression for the number of candles Kevin will have at the end of "h" hours. She can set the two expressions equal to each other and solve for "h", the number of hours until each has the same number of candles.
<span>5h = 4h+7 </span>
<span>h = 7 … subtract 4h from each side </span>
<span>In 7 hours, each will have the same number of candles.</span>
THE AWNSER WILL BE 50 YOU TIMES IT BY 2 SO 2 TIMES 25 IS 50 IM IN COLLEGE PEPS I KNOW EVERYTHING
Step-by-step explanation:
first spinner:
5 is written once :1
total numbers: 13
formula: probability : occurrence of number/total numbers
probability : 1/13.
second spinner:
even numbers: 2,4,6,8,10,12
total : 6 numbers
total numbers: 13
with formula,
probability: 6/13
third spinner:
multiple of four: 4,8,12
total: 3
total numbers: 13
according to formula:
probability: 3/13.
