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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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olga55 [171]

First, split the triangle into half.

So the angle 38 becomes 38/2=19.

So we know two angles in the triangle:

One is 19 degrees.

The other one is 90 degrees (marked red).

The angles in a right-angled triangle add up to 180 degrees.

So to find the x angle, we calculate it by:

180 - (90+19) = 71

(the sum of three angles) - (the sum of the two known angles) = unknown angle

So x = 71 degrees.

4 0
4 years ago
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Point K is on line segment JL. Given KL = 2x – 2, JL = 4x + 9, and
sergeinik [125]

Answer:

JL = 21

Step-by-step explanation:

Given that K is on line segment JL, therefore:

KL + JK = JL (according to segment addition postulate)

KL = 2x - 2

JK = 5x + 2

JL = 4x + 9

Thus:

(2x - 2) + (5x + 2) = (4x + 9)

Solve for x

2x - 2 + 5x + 2 = 4x + 9

2x +5x - 2 + 2 = 4x + 9

7x = 4x + 9

Subtract 4x from both sides

7x - 4x = 4x + 9 - 4x

3x = 9

Divide both sides by 3

\frac{3x}{3} = \frac{9}{3}

x = 3

Find the numerical length of JL

JL = 4x + 9

Plug in the value of x

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7 0
3 years ago
A school debate team has four girls and six boys. A total of four of the team members will be chosen to participate in the distr
alex41 [277]
Procedure:

1) calculate the number of diferent teams of four members that can be formed (with the ten persons)
2) calculate the number of teams tha meet the specification (two girls and two boys)
3) Divide the positive events by the total number of events: this is the result of 2) by the result in 1)

Solution

1) the number of teams of four members that can be formed are:

10*9*8*7 / (4*3*2*1) = 210

2) Number of different teams with 2 boys and 2 girls = ways of chosing 2 boys * ways of chosing 2 girls

Ways of chosing 2 boys = 6*5/2 = 15
Ways of chosing 2 girls = 4*3/2 = 6

Number of different teams with 2 boys and 2 girls = 15 * 6 = 90

3) probability of choosing one of the 90 teams formed by 2 boys and 2 girls:

90/210 = 3/7
 
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3 years ago
Irma needs to rent a car for a business trip from Phoenix to San Jose (720 miles one way). She will drive round trip and will be
cricket20 [7]
The cost per day is $65 per day, the total cost for 8days will be:
8×65
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suppose that E is the number of miles she can drive without exceeding $600.
Thus
0.24×E+520=600
hence solving for E we get
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E=80/0.24
E=333.3333
E~333
8 0
4 years ago
Please help!!! asap
MakcuM [25]

Answer: y = x^2 + 6x+ 9 = 0. (X+3)^2= 0 when x=3. This has one root.

X^2-2x -24 = 0 a= 1 b=-1 and c= -24 x = {-(-1) +/- sqrt((-1)^2 -4 x 1 x (-24)}/2

X = [1 +/- sqrt(97)]/2

Step-by-step explanation:

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