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UkoKoshka [18]
3 years ago
12

A triangle has an area of 234.4 square feet and a height of 16 feet. what is the length of the base?

Mathematics
1 answer:
Monica [59]3 years ago
4 0
The area of a triangle:
A_\Delta=\dfrac{bh}{2}
We have:
A_{\Delta}=234.4\ ft^2.\\\\h=16\ ft.
substitute:
\dfrac{16b}{2}=234.4\\\\8b=234.4\ \ \ |:8\\\\b=29.3\ ft.
Answer: 29.3 ft.
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seropon [69]

Method A: If we count, we see that the answer is 31.

Method B: 19 - -12 = 31. We can even do -12 - 19 and we'll get the same answer: -31, and the absolute value of -31 is 31.

Both methods will give you the same answer.

6 0
3 years ago
Read 2 more answers
3/4 W + 8 = 1/3 w – 7
Montano1993 [528]

Answer:

<h2>W = -36</h2>

Step-by-step explanation:

\dfrac{3}{4}W+8=\dfrac{1}{3}W-7\qquad\text{subtract 8 from both sides}\\\\\dfrac{3}{4}W+8-8=\dfrac{1}{3}W-7-8\\\\\dfrac{3}{4}W=\dfrac{1}{3}W-15\qquad\text{multiply both sides by}\ LCM(4,\ 3)=12\\\\12\!\!\!\!\!\diagup^3\cdot\dfrac{3}{4\!\!\!\!\diagup_1}W=12\!\!\!\!\!\diagup^4\cdot\dfrac{1}{3\!\!\!\!\diagup_1}W-(12)(15)\\\\(3)(3W)=(4)(1W)-180\\\\9W=4W-180\qquad\text{subtract}\ 4W\ \text{from both sides}\\\\9W-4W=4W-4W-180\\\\5W=-180\qquad\text{divide both sides by 5}\\\\\dfrac{5W}{5}=\dfrac{-180}{5}\\\\W=-36

7 0
3 years ago
A well mixed tank with a capacity of 1500 gals originally contains 1000 gallons of freshwater. One pipe containing 1/2 lb of sal
Illusion [34]

Answer:

400 lb of salt

Step-by-step explanation:

Let us assume the water flows into the rank for x minutes.

There is an initial of 1000 gallons of water in the tank and water flows in through one pipe at 4 gal/min and through another pipe at 6 gal/min. In x minute, the amount of water in the tank = 1000 + 4x + 6x = 1000 + 10x

Water flows out at 5 gal/min, therefore in x minute the amount of water in the tank = 1000 + 10x - 5x = 1000 + 5x

The tank begins to overflow when it is full (has reached 1500 gallons). Therefore:

1500 = 1000 + 5x

5x = 1500 - 1000

5x = 500

x = 100 minutes.

1/2 lb salt per gallon flows into the tank at 4 gal/min and 1/3 lb of salt is flowing in at 6 gal/min, in 100 min the amount of salt that entered the tank = 4 gal/min × 100 min × 1/2 lb/gal + 6 gal/min × 100 min × 1/3 lb/gal= 400 lb

Therefore the amount of salt is in the tank when it is about to overflow = 400 lb of salt

7 0
3 years ago
PLEASE HELP FAST I'LL MARK YOU AS BRAINLIST
konstantin123 [22]

Answer: 400

Step-by-step explanation: cube root 8000 then that times itself

5 0
2 years ago
Aaron, Bonny and Connor are playing a game with cards.
professor190 [17]

Let the number of cards Aaron has : A

Given :

⊕   Bonny has twice as many cards as Aaron

⊕   Connor has 6 cards more than Bonny

⊕   Total cards : 101

⇒  Number of cards Bonny has : 2A

⇒  Number of cards Connor has : 2A + 6

⇒   Aaron cards + Bonny cards + Connor cards = 101

⇒   A + 2A + 2A + 6 = 101

⇒   5A = 101 - 6

⇒   5A = 95

⇒   A = 19

<u>Answer</u> : Aaron has 19 Cards

6 0
2 years ago
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