⇒ Solutions
<span>To solve the given problem you first have to plug all the numbers in....
324 m</span>²<span> is the SA so 324 m</span>²<span> = 2[(5m </span>× <span>12m) + (5m </span>× <span>h) + (12m </span>× <span>h)]
You want to find the variable h so first start by dividing 342 by 2 which will make your equation simpler to solve.
= 162 m</span>²<span> = (5m </span>× <span>12m) + (5m </span>× <span>h) + (12m </span>× <span>h)
Multiply your "lw" together 5m </span>× <span>12m = 60m</span>²<span> and you have
162 m</span>² <span>= 60 m</span>²<span> + (5m </span>× <span>h) + (12m </span>× <span>h)
You can subtract 162 m</span>²<span> by 60 m</span>²<span> leaving 102 m</span>²<span> = (5m </span>× <span>h) + (12m </span>× <span>h)
Then combine your like terms of h....5m </span>× <span>h + 12m </span>× <span>h = 17m </span>× <span>h so you now have
102m</span>²<span> = 17m </span>× <span>h and to get (h) by itself to solve for it you can then divide by 17 leaving 6m = (h) making your height equal 6 meters.
</span>
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
(SA/2 - lw) = (h(l+w) ...... Subtract terms not containing (h)
(SA/2 - lw) ÷ <span>(l+w) = (h) ..... Divide by the coefficient of (h) </span>
(324/2 - 5 × 12) ÷ <span>(5+12) = (h) ... Plug in the numbers
</span>
(162 - 60) ÷ <span>17 = (h) = 6 ... Answer </span>
Answer:
thanks for the helpful information babydoll.
Step-by-step explanation:
Answer:
∠ 5 = 151°
Step-by-step explanation:
A linear pair are supplementary, that is sum to 180°
∠ 5 = 5 ∠ 6 + 6 , thus
∠ 5 + ∠ 6 = 180, that is
5 ∠ 6 + 6 + ∠ 6 = 180
6∠ 6 + 6 = 180 ( subtract 6 from both sides )
6 ∠ 6 = 174 ( divide both sides by 6 )
∠ 6 = 29°
Thus
∠ 5 = 180° - 29° = 151°
1/3 for the first one, and 3/4 for the second one :)
You can solve the system by isolating the same variable in both equations, then setting those equations equal to each other. For instance, say we isolate y:
Do the same for the other equation, then set both equations equal to each other. You can then solve for x. Once you have a value for x, you can plug it into either of the original equations and find y!