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3 years ago

Hey can you help me e

Mathematics

1 answer:

klemol [59]3 years ago

3 0

<h2>Answer:-</h2>

1) -11 + 26 = 15

2) 2 - (-3) = 5

3) 11 + (-4) = 7

4) 5 + -8 = -3

5) -2 + 3 = 1

6) 8 - 12 = -4

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Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59

andreyandreev [35.5K]

Answer: The distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

Step-by-step explanation:

Since we have given that

Distance between Ships A and B = 1425 feet

Angle of depression from ship A to the submarine =59°

Angle of depression from ship B to the submarine = 47°

As shown in the figure below:

Remaining angle will be

$180\textdegree-(47\textdegree+59\textdegree)\\\\=180\textdegree-106\textdegree\\\\=74\textdegree$

So, we will use "Sine formula ":

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 59\textdegree}{B}\\\\B=\frac{1425\times \sin 59\textdegree}{\sin 74\textdegree}\\\\B=1270.68\ feet$

Similarly,

$\frac{\sin 74\textdegree}{1425}=\frac{\sin 47\textdegree}{A}\\\\A=\frac{1425\times \sin 47\textdegree}{\sin 74\textdegree}\\\\A=1084.18\ feet$

Hence, the distance from ship B to the submarine is 1270.68 feet and the distance from ship A to the submarine is 1084.18 feet.

4 0

3 years ago

Read 2 more answers

Can someone please help me answer this question.?

SashulF [63]

Answer:

d=8.0 meters

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

We are given the volume and the height

117.23 and the height 7

117.23 = 1/3 *3.14 *r^2 * 7

117.23 = 7.3266666666 *r^2

Divide each side by 7.3266666666

117.23/7.3266666666 = 7.3266666666 *r^2/7.3266666666

16.00045496 = r^2

Take the square root of each side

sqrt(16.00045496) =sqrt( r^2)

4.000 = r

We found the radius but it wants the diameter

d = 2*r

d =2*4.0

d=8.0 meters

3 0

3 years ago

Lindsay prepared 9 containers of fruit punch for a party. After the party, there were still 4 4/9 containers of fruit punch left

umka2103 [35]

Turn 9 into $\frac{81}{9}$ . Then, convert 4 $\frac{4}{9}$ into a improper faction ( $\frac{40}{9}$ ). Then, subtract

$\frac{81}{9} - \frac{40}{9} = \frac{41}{9}$ . Lastly, convert $\frac{41}{9}$ to a mixed fraction ( $4\frac{4}{9}$ ).

Your answer is $4\frac{4}{9}$ .

6 0

3 years ago

Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector i

aleksandrvk [35]

Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

$P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175$

Positive when there is raritanium:

98% of 13%

$P(A) = 0.98*0.13 = 0.1274$

What is the probability the rock sample actually contains raritanium?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967$

0.967 = 96.7% probability the rock sample actually contains raritanium

7 0

2 years ago

How do I turn 7 over 8 divided by 2 over 5 into a mixed fraction

tangare [24]

7/8 / 2/5 is equal to 7/8 x 5/2 which equals 35/16, 16 goes into 35 twice so there are 2 wholes there is a remaining of 3 so we put it as a fraction over 16
the answer is 2 3/16

5 0

3 years ago