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nexus9112 [7]
3 years ago
10

In each part, a and b represent the length of a leg of a right triangle, and c represents the length of its hypotenuse. Find the

missing length, given the other two lengths.

Mathematics
1 answer:
Pie3 years ago
4 0

Answer:

c=13 and a=20

Step-by-step explanation:

Here you need to use the Pythagoras theorem :

c²=a² + b²

c = √a² + b²

c = √(12)²+(5)²

c= √144+25

c = √169

c = 13

2) c²=a²+b²

    b= √c²-b²

    b= √(29)²-(21)²

    b = √400

    b = 20

In 2 you change your formula just so that it can be easier and just calculate your length straight forward but you can also just do it in the original equation

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1.873, 1.9, 1.78, 1.84, 1.779, 1.742<br><br> LESSER GREATER<br><br><br> ASAP PLEASE
Musya8 [376]

Answer:

Lesser to greater

Step-by-step explanation:

1.742

1.779

1.78

1.84

1.873

1.9

8 0
3 years ago
Cosmo’s family has a pool like this.
Verdich [7]

a. The volume of the pool is 27.483 m³

b.  The number of litres of water the pool will hold is 27483 L

c. The pool will fill at a rate of 50 L/min in 549.7 min

The pool is a cylinder, so, we need to find its volume

<h3>a. What is volume of the pool?</h3>

Since the pool is a cylinder, its volume is, V = πd²h/4 where

  • d = width of pool = 5.4 m and
  • h = height of pool = 120 cm = 1.20 m

So, V = πd²h/4

= π(5.4 m)² × 1.20 m/4

= π × 29.16 m² × 1.20 m/4

= 34.992π m³/4

= 8.748π m³

= 27.483 m³

So, the volume of the pool is 27.483 m³

<h3>b. How many litres of water will the pool hold?</h3>

Since the volume of the pool, V = 27.483 m³ and 1000 Litres = 1 m³

So, the volume of the pool in litres is V = 27.483 m³

= 27.483 × 1 m³

= 27.483 × 1 000 L

= 27483 L

So, the number of litres of water the pool will hold is 27483 L

<h3>c. How long will it take to fill the pool at a rate of 50 L/min?</h3>

Since the volume of the pool is V = 27483 L, the time it will take the pool to fill at a rate of 50 L/min is given by t = Volume/rate

= 27483 L/50 L/min

= 549.66 min

≅ 549.7 min

So, how long will it take to fill the pool at a rate of 50 L/min is 549.7 min

Learn more about volume of pool here:

brainly.com/question/11893973

#SPJ1

7 0
2 years ago
If the average volume flow of blood through the aorta is 8.5 × 10-5 m 3/s and the cross-sectional area of the aorta is 3.0 × 10
valkas [14]

The average speed of blood in the aorta is 0.2833 m/s

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance  / time

From the question, to calculate the average speed:

Average speed = Volume rate / cross sectional area

Average speed = 8.5 * 10⁻⁵ / (3 * 10⁻⁴) = 0.2833 m/s

The average speed of blood in the aorta is 0.2833 m/s

Find out more on average speed at: brainly.com/question/680492

4 0
2 years ago
3. MaxProfit Inc, a profit maximizing firm in a competitive market is currently producing 1000 units of widgets. It has average
Ivenika [448]

Answer;

Total profit is $18000

Step-by-step explanation:

Given in question

Number of unit is <em>1000</em>

Average revenue is <em>$100</em>

Average total cost is<em> </em><em>$80</em>

Fixed cost is <em>$2000</em>

Total revenue = average revenue \times number of unit

Total revenue = $100 \times 1000=$100000

Total input cost = total cost + fixed cost

Total cost = average cost \times total unit

Total cost =$80 \times 1000 = $80000

Total input cost = $80000 + $2000 = $82000

Profit = total revenue-total cost

Profit = $100000 - $82000 = $18000

Total profit is $18000

8 0
4 years ago
I need help!! I don't know how to do this at all
Harman [31]
You have to make a proportion:
12+x/8=8/x
Then cross multiply to solve for x
8 0
4 years ago
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