9.4 Ft for the first one
7.5 Ft for the second piece
12 Ft for the Third
he uses 5.2 Ft from the first piece of wood so 9.4 - 5.2= 4.6ft
he uses 6.1 ft from the second piece of wood , 7.5 - 6.1 = 1.4 ft
Nathan didnt use any of the 3rd piece of wood , so he still have 12 Feet of wood remaining so, 12+4.6+1.4 = 18 feet of wood left that he didnt use.
<h2>
Answer:</h2>
The final image is:
<h2>
Explanation:</h2>
Here we have two rules. The first one is a reflection across the y-axis and the second one is a translation. Let's apply these rules in two steps:
First rule:
Reflection across the y-axis:
By following this rule, you must multiply the x-coordinate of the point by -1. So here we reflect point W. Then:
Second rule:
This transformation shift each point 4 units to the right and 2 units up. Here we shift point W' that was previously transformed. Then:
Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:
You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:
2. Substitute it into the first equation and solve for "m":
3. Substitute the value of "m" into and evaluate, in order to find the value of "o". This is:
Answer:
-S = 15
Step-by-step explanation:
You are asked to find the opposite of the given value.
<h3>Opposite</h3>
The opposite of an integer value is obtained by changing its sign.
S = -15
-S = -(-15) = 15
__
<em>Additional comment</em>
Equivalently, you are multiplying by -1. The product of an even number of minus signs is a plus sign. We usually don't write the plus sign for a numerical value.
Answer:
29.7 for question 14
15a is 12.1
15b is 14
Step-by-step explanation:
In a 45 45 90 triangle, the legs are congruent, or the same length.
If we call the legs a, then the hypotenuse would be root 2 a.
So if the hypotenuse is 42, we divide by root 2 to get the length of each leg.
That should give us 29.7
In a 30, 60, 90 triangle, the short side is a, then the hypotenuse is 2a, and the longer side is a root 3.
So if the shorter side is 7, the longer side is 12.1, and the hypotenuse is 14.