The Volume for Rectangular prism A is 172 inches², Volume = 112 inches³
Surface Area to Volume Ratio = 43/28
<h3>Mensuration of Solids</h3>
Given Data
Rectangular prism A
Length = 2 inches
Width = 7 inches
Height = 8 inches
Surface Area
A=2(wl+hl+hw)
A=2(7*2+8*2+8*7)
A=2(14+16+56)
A= 172 inches²
Volume
Volume = L*W*H
Volume = 2*7*8
Volume = 112 inches³
Surface Area to Volume Ratio
= 172/112
= 43/28
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<h3><u>Given</u><u>:</u><u>-</u></h3>
- Perimeter of parallelogram = 66 ft
<h3><u>To</u><u> </u><u>find</u><u> </u><u>out</u><u>:</u><u>-</u></h3>
Find the longest side of a parallelogram.
<h3><u>Formula</u><u> </u><u>used</u><u>:</u><u>-</u></h3>
Perimeter of parallelogram = 2 ( a + b )
<h3>
<u>Solution:-</u><u> </u></h3>
We know that,
Perimeter of parallelogram = 2 ( a + b )
★ Substituting the values in the above formula,we get:
⇒ 66 = 2 ( 3x + 1 + 2x - 3 )
⇒ 66 = 2 ( 5x - 2 )
⇒ 66/2 = 5x - 2
⇒ 33 = 5x - 2
⇒ 5x - 2 = 33
⇒ 5x = 33 + 2
⇒ 5x = 35
⇒ x = 35/5
⇒ x = 7 ft
Now,
One side,a = 3x + 1
★ Putting the value of x
⇒ 3 × 7 + 1
⇒ 21 + 1
⇒ 22 ft
Other side,b = 2x - 3
★ Putting the value of x
⇒ 2 × 7 - 3
⇒ 14 - 3
⇒ 11 ft
Hence,the longest Side of given parallelogram is 22 ft ( 3x + 1 ) .
16a - 9 I think that’s the answer hope this helped
Answer:
y is 4
Step-by-step explanation:
so the equation is y = kx ( k is the constant)
We've been given x as 5 & y as 10 so we can use these values to find the constant .
10 = k(5)
k = 2
so now , we can find y
y = 2 × 2
y = 4
Let's solve for y.
<span><span>11−<span><span>12</span>y</span></span>=<span>3+<span>6x
</span></span></span>Step 1: Add -11 to both sides.
<span><span><span><span><span><span>−1/2</span></span>y</span>+11</span>+<span>−11</span></span>=<span><span><span>6x</span>+3</span>+<span>−11
</span></span></span><span><span><span><span>−1</span>2</span>y</span>=<span><span>6x</span>−8
</span></span>Step 2: Divide both sides by (-1)/2.
<span><span><span><span><span>−1/</span>2</span>y</span><span><span>−1/</span>2</span></span>=<span><span><span>6x</span>−8/-1/2
</span></span></span><span>y=<span><span>−<span>12x</span></span>+16</span></span><span>
</span>