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patriot [66]
3 years ago
6

The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles

right triangle. What is the area of the triangular base? What is the length of edge DF?

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
4 0

Answer:

8 and 4

Step-by-step explanation:

Mariulka [41]3 years ago
3 0

Answer:

Step-by-step explanation:

volume = area of base * height = area of base * 9 = 72

-> area of base = 72/9 = 8

let a,b,c be the length of sides of isosceles right triangle base

we have a = b and a*b/2 = 8 ft2

-> a*a/2 = 8ft2

-> a*a = 16

-> a=4ft=b

have c^2 = a^2 + b^2 = 16 +16 = 32

-> c = \sqrt{32} = 5.656 ft

Since i dont know that is DF, i calculate both a,b and c

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melisa1 [442]

Answer:

The distance is 29.3 feet

Step-by-step explanation:

Here, we want to find the distance from the diving board to the bottom of the pool

To get this, we will need to add the height of the diving board above the ground plus the distance of the bottom of the pool below the ground

Mathematically, we can have this as:

12.4 + 16.9

= 29.3 feet

5 0
3 years ago
Each student on the trip to cooperstown paid the same amount .the tottal amount collected was $589.pilar paid for her ticket usi
professor190 [17]

Answer:

$231.67

Step-by-step explanation:

how you need to divide 589 to 3 and than you get 231.67

5 0
3 years ago
A leprechaun places a magic penny under a​ girl's pillow. The next night there are 2 magic pennies under her pillow. The followi
vfiekz [6]

Answer:

34

Step-by-step explanation:

Since the pennies need to be kept under the pillow in order to be doubled, we're really looking for the day the girl will wake up with 5 billion pennies under her pillow.

The general formula of that geometric sequence will be: t = 1 + 2^(n-1)

We need to find the value of n when t will be over 5,000,000,000.

So, the equation becomes:

5,000,000,001 = 1 + 2^(n-1)

2^{n-1}= 5,000,000,001

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n-1 = log(5,000,000,000) / log(2)

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Since it has to be complete days, and we have to reach over 5 billion, then we round it up to 34.

7 0
3 years ago
A town is fencing a rectangular field that is 200 feet long and 150 feet wide. At $10 per foot, how much will it cost to fence t
labwork [276]
Perimeter of a rectangle is

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then multiply the perimeter by the cost per foot

2*(150ft) + 2*(200ft)

300ft + 400ft

700ft

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$7000
6 0
3 years ago
Doctor's order: Infuse 50mg of Amphotericin B in 250ml NS over 4 hr 15 min; Drop factor : 12gtt/ml. What flow rate ( ml/hr) will
svlad2 [7]

Answer:

59 ml/hr

Step-by-step explanation:

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since answer is required in ml/hr and not gtt/hr,

Therefore answer = 59 ml/hr to the nearest flow rate.

5 0
3 years ago
Read 2 more answers
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