Answer:
56
Step-by-step explanation:
Answer:
168 ft
Step-by-step explanation:
1. Calculate the total length of the curtains
42 curtains × (48 in/1 curtain) = 2016 in
2. Convert to inches to feet
1 in = ¹/₁₂ ft
2016 in × (¹/₁₂ ft/1 in) = (2016/12) ft = 168 ft
Ariceli will need 168 ft of fabric.
<u>the correct question is</u>
The denarius was a unit of currency in ancient rome. Suppose it costs the roman government 10 denarii per day to support 4 legionaries and 4 archers. It only costs 5 denarii per day to support 2 legionaries and 2 archers. Use a system of linear equations in two variables. Can we solve for a unique cost for each soldier?
Let
x-------> the cost to support a legionary per day
y-------> the cost to support an archer per day
we know that
4x+4y=10 ---------> equation 1
2x+2y=5 ---------> equation 2
If you multiply equation 1 by 2
2*(2x+2y)=2*5-----------> 4x+4y=10
so
equation 1 and equation 2 are the same
The system has infinite solutions-------> Is a consistent dependent system
therefore
<u>the answer is</u>
We cannot solve for a unique cost for each soldier, because there are infinite solutions.
We know that since a diameter splits a circle in half, the arcs EF, FG, and GH must add up to 180°, half the measure of a full circle. We can then use the arc addition property to create an equation using the information we know. This equation would be (10x + 8) + 67 + 11x = 180. This can be simplified to x = 5. Therefore, the value of x is 5. Now, we can simply plug in the value of x into the expressions for EF and GH. This means that the measure of EF is 58° and the measure of GH is 55°.
Hope this helps!
Answer:
g(-2) = -7
Step-by-step explanation:
To find g(-2), plug -2 into g(x).
g(x) = -4x² + 3x + 15
g(-2) = -4(-2)² + 3(-2) + 15
g(-2) = -4(4) + 3(-2) + 15
g(-2) = -16 + (-6) + 15
g(-2) = -1 + (-6)
g(-2) = -7
