For the first one you would do:
X rad 3=7 divide by rad 3 in both sides and you don’t wanna leave a radical in the denominator so multiply rad 3 in both denom. And numerator and then you get 7rad3/3.
A 30:60:90 triangle always have n:2n:n rad 3 so since 2n=10 you would get n=5 and since BC is n rad3 so you would get 5rad 3.
In a 45:45:90 triangle it is n:n:n rad 2, since AC=3 then AB= 3 and then BC= 3 rad 2
Since AC and AB are congruent you they both would be 12 so it is true.
To answer this question, an assumption must be made, that Eva spends 8 hours a day working. If this is the case, then Eva will complete jobs w, x, and v on day one, for a total of six hours. Since the next job (y) requires 4 hours, she will spend two hours working that day, leaving 2 more hours to go on that job. The next day she will spend 2 hours finishing job y, completing it, and finish the longest job z (hours) that day. This means she had 4 jobs on day one, and 2 jobs on day 2 for and average of 3 jobs per day.
This answer assumes an 8 hour work day, and that Eva can start a job she cannot finish that day.
Answer:

Step-by-step explanation:
This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.

Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.
In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:

Substitute these values into the formula.

Solve the exponents.


Add.

Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.

The third side length is <u>8.</u>
Answer:
Step-by-step explanation:
Not 6 on all rolls in the diagram = 4/5
6 on all rolls in the diagram is 1/5
To find the probablity of rolling two sixes, 1/5 x 1/5 = 4/100 = 0.04 = 4%
Answer:
30 square millimeters
Step-by-step explanation:
3 x 3 = 9
3 x 1 = 3
there are two sides with the area 9 therefore...
9 x 2 = 18
There are four sides with the area 3 therefore...
3 x 4 = 12
Therefore the suface area is
12 + 18 = 30