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ss7ja [257]
3 years ago
14

3. A submarine dives at an

Mathematics
1 answer:
Vesna [10]3 years ago
8 0

Answer:

The height of deepness of submarine is 424.1 feet  

Step-by-step explanation:

Given as :

The angle at which submarine drives of the surface of water = Ф = 13°

The speed at which submarine travel = s = 760 feet per minute

Let The height of deepness of submarine = h feet

The time taken to reach that deepness = t = 5 minutes

<u>According to question</u>

The height of deepness of submarine = \dfrac{\textrm speed}{\textrm time}

i.e h × cos(90 - Ф) = \dfrac{s}{t}

Or,  h × Sin(Ф) = \dfrac{\textrm 760 feet per min}{8 min}

Or,  h × Sin(13°) = 95 feet

Or,   h × 0.224 = 95 feet

∴  h = \dfrac{95}{0.224}

i.e h = 424.10 feet

So, The height of deepness of submarine = h = 424.10 feet

Hence, The height of deepness of submarine is 424.1 feet  Answer

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Charles has 2 2/3 ounces of seeds. He needs 4 4/5 ounces in order to complete the garden. How much more seeds he need?
yawa3891 [41]

Answer:

Charles need 3\frac{1}{5} more ounces of seeds.

Step-by-step explanation:

Given that:

Quantity of seeds Charles has = 2\frac{2}{3} = \frac{8}{3} ounces

Quantity of seeds Charles need = 4\frac{4}{5} = \frac{24}{5} ounces

Let,

x be the number of remaining seeds Charles need.

x = Seeds needed - Seeds Charles already have

x = \frac{24}{5}-\frac{8}{3}

x = \frac{72-24}{15}

x = \frac{48}{15}

x = \frac{16}{5}

x = 3\frac{1}{5} ounces

Hence,

Charles need 3\frac{1}{5} more ounces of seeds.

5 0
3 years ago
what is the hight of a cylinder with a volume of 384tt cubic inches and a radius of 8 inches? round to the nearest tenth of an i
skelet666 [1.2K]

Answer:

1.9 inches

Step-by-step explanation:

We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,

→ π × r² × h = 384

⇒ Substitute in 8 for 'r'

→ π × 8² × h = 384

⇒ Simplify

→ π × 64 × h = 384

⇒ Divide both sides by 64 to isolate π and h

→ π × h = 6

⇒ Divide both sides by π to isolate 'h' and find the value of the height

→ h = 1.9098593171

The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches

5 0
3 years ago
What is 273 ft equal to in yd? And why?
Ivenika [448]
That would be 91 yrd, just divide 273 by 3 because there is 3 ft in a yard
 
Hope this helps!
3 0
3 years ago
Read 2 more answers
What is the surface area of the triangular prism?​
IrinaK [193]

Answer:

444m²

Step-by-step explanation:

6×10 + 24×6 + (24×10)

(6 \times 10) + (24 \times 6) + 2 ( \frac{24 \times 10}{2} ) = 60 + 144 + 2(120) = 444 {m}^{2}

3 0
2 years ago
What is equivalent 0.13
Ivahew [28]

Answer:

13/100

Step-by-step explanation:

so when its a 13%

8 0
3 years ago
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