Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
Answer:
70.52 degrees
Step-by-step explanation:
To find the angles, we must first find the lengths of each side of the triangle. Adding up the respective radii, we can see that
XY = 5+4 = 9 CM
XZ = 6+5 = 11 CM
ZY = 4+6 = 10 CM
Now we can apply the cosine rule
We need to rearrange the rule to solve for x, our missing angle
solving for our unknown angle:
Therefore angle YXZ is 70.52 degrees
For this case we have two options:
Option A:
Tomato juice, 48 oz. can for $ 2.49.
The unit price is:
(2.49) / (48) = 0.05 cents per oz.
Option B:
Tomato juice, 6-pack of 10 oz. cans for $ 3.99.
The unit price is:
(3.99) / (6 * 10) = 0.07 cents per oz.
Answer:
The best buy would be:
Tomato juice, 48 oz. can for $ 2.49.
1. D
2. D
I don't know the answer to number 3 sorry.
<span>Which number line model represents 1 + (-3)?</span><span>
-2
*Are there any options though?*</span>
