You forgot to put the options and the rest of the equation
Answer:
The problem is stated as:
Min C = 15*(2*x +y) + 21*y
subject to x*y = 450
Step-by-step explanation:
Given that the region is rectangular, it has two opposite sides called x and two other opposite sides called y (both measured in feet). Then, the area (in square feet) is:
A = x*y = 450
One of the sides called y costs $21 per linear foot. The other 3 sides (two x and one y) costs $15 per linear foot. Then, the cost function is:
C = 15*(2*x +y) + 21*y
Answer:
<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>
Step-by-step explanation:
These are the steps Diego should follow to find 4 1/5 - 7/10:
Step 1: Convert all mixed numbers into improper fractions.
4 1/5 = 21/5 - 7/10
Step 2: Find a common denominator between the improper fractions. When necessary, create equivalent fractions.
21/5 = 42/10 - 7/10
Step 3: Add or subtract the numerators and keep the denominator the same.
42 - 7 = 35/10
Step 4: If the answer is an improper form, reduce the fraction into a mixed number.
35/10 = 3 5/10 = 3 1/2
<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>
Answer:
Step-by-step explanation:
The formula for determining the the volume of a rectangular base pyramid is expressed as
Volume = 1/3 × base area × height
From the information given,
Length of base = 9 cm
Width of base = 4.6 cm
Area of base = 9 × 4.6 = 41.4 cm²
Volume of pyramid = 82.8cm³
Therefore
82.8 = 1/3 × 41.4 × height
82.8 = 13.8 × height
Dividing both sides of the equation by 13.8, it becomes
height = 82/13.8
Height = 5.94 8 cm
Answer:
m∠RST = 20
Step-by-step explanation:
Sine the line SP bisects ∠RST, we know that the two angles that were formed are equal. Set ∠RSP equal to ∠PST.
∠RSP = ∠PST
3x - 2 = 9x - 26
(3x - 2) + 2 = (9x - 26) + 2
3x = 9x - 24
3x - 9x = (9x - 24) - 9x
-6x = -24
(-6x)/-6 = -24/-6
x = 4
Now that you know the value of x, add ∠RSP and ∠PST. This will give you m∠RST.
m∠RST = (3x - 2) + (9x - 26)
m∠RST = 3x - 2 + 9x - 26
m∠RST = 12x - 2 - 26
m∠RST = 12x - 28
m∠RST = 12(4) - 28
m∠RST = 48 - 28
m∠RST = 20
