GIVING BRAINLIEST
A submarine is traveling along the surface of the ocean when they spot a pod of dolphins ahead. To avoid the dolphins, the submarine will dive and travel through the ocean. If the submarine wants to be 1.1 nautical miles below the dolphins after traveling 2.5 nautical miles, what dive angle must the submarine make? Write only the number rounded to the nearest angle.
Answers
Answer:
26 degrees
Step-by-step explanation:
The attached image shows how I interpret this question, and I assume you're meant to use trigonometry to solve.
From the perspective of the angle, we have a relationship between the opposite side, the hypotenuse, and the angle. Because the 2 sides are the opposite and the hypotenuse, we need the sine function, and because the angle is the unknown, we need the inverse sine function.
(soh cah toa)
[tex]sin(x)=\frac{opposite}{hypotenuse}\\\\sin^{-1}(\frac{opposite}{hypotenuse})=x[/tex]
Now, just plug in the 2 known values and solve for the unknown:
[tex]sin^{-1}(\frac{1.1}{2.5})=x\\\\sin^{-1}(0.44)=x\\\\x=26.1039[/tex]
The angle is 26 degrees, and you can check that by doing it in reverse:
[tex]sin(26.1039)=\frac{1.1}{2.5}\\\\sin(26.1039)=0.44\\\\0.44=0.44[/tex]
Related Questions
In a raffle, 100 tickets are sold and 10 of the tickets, selected at random, win a $5 prize. A participant buys one ticket. What is the standard deviation of the amount won?
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Hurry for Brainlist =Accurate Answer
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Step-by-step explanation:
the second line has to be parallel (but not identical), so that the 2 lines do not cross each other, do not have any point in common.
that means it must have the same slope but a different y-intercept.
the line in the graph goes through the origin (0, 0), which makes the y-intercept = 0 (the y value when x = 0).
and we see that the points with integer coordinates seem to be e.g. (3, -2).
so, for the slope (y difference / x difference between 2 points) we use this point and the origin.
x changes by +3 (from 0 to 3).
y changes by -2 (from 0 to -2).
so, the slope is -2/3. and it is always the factor of x.
let's look at the answer options :
2x + 3y = 0
3y = -2x
y = (-2/3)x
this is the identical line, so it is wrong !
2x + 3y = 6
3y = -2x + 6
y = (-2/3)x + 2
the same slope and different y-intercept.
this is the correct solution !
2x - 3y = 9
-3y = -2x + 9
y = (2/3)x - 3
wrong slope. so it is wrong !
y = 3x + 2
wrong slope. so it is wrong !
How to add rational expressions.
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Rational expressions (fractions) can only be added or subtracted if they have a common denominator.
The numerator and denominator of a fraction may be multiplied by the same quantity. This will result in a fraction that is equivalent to the original fraction.
For a fractional answer to be in final form, the fraction must be reduced to lowest terms.
Adding or subtracting rational expressions is a four-step process:
Write all fractions as equivalent fractions with a common denominator.
Combine the fractions as a single fraction that has the common denominator.
Simplify the expression in the top of the fraction.
Reduce the fraction to lowest terms.
To see this process, we'll look at some examples.
Example 1
Step 1: To find a common denominator, start by factoring the denominators of both fractions.
The least common denominator of these two fractions is 2(x+6)(x-6).
Looking at the first fraction, we can see that the factor missing from its denominator is (x-6). In the next step, we'll multiply the top and bottom of the first fraction by (x-6).
Looking at the second fraction, we can see that the factor missing from its denominator is 2. In the next step, we'll multiply the top and bottom of the second fraction by 2.
Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:
Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.
Step 4: Now we'll reduce the fraction to lowest terms
Example 2
Step 1: To find a common denominator, start by factoring the denominators of both fractions.
The least common denominator of these two fractions is (x+4)(x+1)(x+3).
Looking at the first fraction, we can see that the factor missing from its denominator is (x+3). In the next step, we'll multiply the top and bottom of the first fraction by (x+3).
Looking at the first fraction, we can see that the factor missing from its denominator is (x+4). In the next step, we'll multiply the top and bottom of the first fraction by (x+4).
Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:
Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.
Step 4: Now we'll reduce the fraction to lowest terms
solve pls brainliest
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Answer:
c
Step-by-step explanation:
Hi, please help again lol
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Answer:
?? No questions asked here
Help me with this problem i am stuck in screenshot
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Answer the question in the picture below
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Answer:
16.25, 20, 13.75, 12.5, 7.5
Step-by-step explanation:
1cm= 2.5m
6.5x2.5= 16.25
8x2.5= 20
5.5x2.5= 13.75
5x2.5= 12.5
3x2.5= 7.5
mr johnson borrowed $750 for 1 year. he has to pay 6% simple interest. how much interest will he pay?
Answers
Answer:
795$
Step-by-step explanation:
750 x 0.06 = 45
750 + 45 = 795
Grace rides her bike 21 km in 1 1/6 hours. What is her average speed in kilometers per hour?
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How do I write 1/2y=2x-3 in standard form?
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Answer: x−2y=6
hope this helps
What is the probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, i = 2, 3,. , 12?.
Answers
Answer:
0, 1/18, and 1/36
Step-by-step explanation:
For i = 2, the probability it lands on 6 is 0, because you cannot sum to 2 with a 6. The same applies to i = 3 thru i = 6.
For the probability that at least one of a pair of fair dice lands on 6 for i = 7, there are only two possible ways, the first roll is a 6 and the second roll is a 7, and the first roll is a 1 and the second roll is a 6. The total amount of ways is 6 * 6 = 36, so the total probability is 1/18. This also applies to i = 8 thru i = 11.
For i = 12, there is only one way to get 12, the first dice lands on 6 and the second dice lands on 6. Assuming the dice are indistinguishable, the probability is 1/36.
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
We have,
The complementary probability of "at least one die lands on 6" is "neither of the dice lands on 6."
Therefore, you need to find the probability that neither of the dice lands on 6 for each possible sum i, and then subtract that probability from 1 to get the desired probability.
Let's go through the cases:
i = 2 (only possible sum with two dice):
In this case, both dice must show a 1.
The probability of this happening on a fair 6-sided die is
(1/6) * (1/6) = 1/36.
i = 3: The combinations are (1, 2) and (2, 1).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 4:
The combinations are (1, 3), (2, 2), and (3, 1).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 5:
The combinations are (1, 4), (2, 3), (3, 2), and (4, 1).
The probability of any of these happening is 4 * (1/6) * (1/6) = 1/9.
i = 6:
The combinations are (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 7:
The combinations are (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1).
The probability of any of these happening is 6 * (1/6) * (1/6) = 1/6.
i = 8:
The combinations are (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).
The probability of any of these happening is 5 * (1/6) * (1/6) = 5/36.
i = 9:
The combinations are (3, 6), (4, 5), and (5, 4).
The probability of any of these happening is 3 * (1/6) * (1/6) = 1/12.
i = 10:
The combinations are (4, 6) and (6, 4).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 11:
The combinations are (5, 6) and (6, 5).
The probability of either happening is 2 * (1/6) * (1/6) = 1/18.
i = 12:
The combination is (6, 6).
The probability of this happening is (1/6) * (1/6) = 1/36.
Now, sum up the probabilities for each case:
(1/36) + (1/18) + (1/12) + (1/9) + (5/36) + (1/6) + (5/36) + (1/12) + (1/18) + (1/18) + (1/36)
This simplifies to:
69/36 = 23/12
Thus,
The probability that at least one of a pair of fair dice lands on 6, given that the sum of the dice is i, where i ranges from 2 to 12, is 23/12.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ3
Two side of a triangle are 26 and 27, while the height to the third side is 25. Find the area of the triangle.
Answers
Based on the information given, the area of the triangle is 291.85.
From the information given,
A = 26
A = 26B = 27
A = 26B = 27C = 25
Firstly, we'll add the sides given and divide them by 2. This will be:
S = (26 + 27 + 25) / 2
S = 78/2
S = 39
Then we will use the formula:
= s(s - a)(s - b)(s - c)
= 39(39 - 26)(39 - 27)(39 - 25)
= 39(13 × 12 × 14)
= 85176
Lastly, we'll find the square root of the value gotten. This will be:
= ✓85176
= 291.85.
Therefore, the area is 291.85.
Learn more about triangles on:
https://brainly.com/question/25760317
Remember y=mx +b Given the following graph what would the equation be?
Answers
Answer:
b. y=1/2x-2
Step-by-step explanation:
We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2
-2x=-2x+8
i need help asap
step by step please
Answers
Answer:
0=8
Step-by-step explanation:
kevin sells beaded necklaces. Each large necklace sells for $5.70 and each small necklace sells for $4.60. How much will she earn from selling 5 large necklaces and 6 small necklace?
Answers
Answer:
$56.10
Step-by-step explanation:
The first step is to multiply the values.
28.50 for large.
27.60 for small.
Add them together.
You get 56.10.
Answer/Step-by-step explanation:
Given:
$5.70= Large necklace
$4.60 = Small necklace
To Find:
How much will Kevin earn from selling 5 large necklaces and 6 small necklace?
Solution:
To Find how much Kevin will earn from selling 5 large necklaces/6 Small necklace...
Multiply 5.70 by 5 and 4.60 by 6.
5.70 x 5 = 28.5
4.60 x 6 = 27.6
Hence, Kevin will earn $28.5 from selling 5 large necklaces and 27.6 from selling 6 small necklaces.
To Find all Kevin earn add both together = 56.10
Therefore Kevin earn $56.10 altogether.
help me with this guys
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Let y = cos⁻¹(x), so that cos(y) = x.
For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.
For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.
Then
tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3
Complete the ordered pair for the equation y=-3x - 5.
(__,4)
Answers
Answer:
[tex](-3,4)[/tex]
Reasoning:
This problem is telling you that if y equal 4, what does x equal?
You can easily insert the y value to find the constant x.
[tex]4=-3x-5[/tex]
[tex]9=-3x[/tex]
[tex]\frac{9}{-3} =\frac{-3x}{-3}[/tex]
[tex]-3=x[/tex]
HELP PLS! At a raffle, 100 tickets are sold for 1 prize of $100 and 3 consolation prizes of $20. What prizes should the tickets be sold for if the goal is to make the raffle a fair game?
Answers
Step-by-step explanation:
I assume "fair game" means that there is no profit and the expenses are equal to the income or sales.
we have clear expenses :
1× $100
3× $20
that is in total : $160
now we need to make sure that we generate exactly $160 by selling the tickets.
we have 100 tickets that should lead to $160.
how much should 1 ticket cost ?
well, 160/100 = $1.60
Please help me solve this problem asap!
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Dilation and rotation.
in the diagram above <1=135 find the measure of <3
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what is the answer ?????
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Q. 1 [tex] \frac{19}{20} \times 100 = 19 \times 5 = 95\% \\ [/tex]
Q. 2). 30 - 24 = 6
[tex] \frac{6}{30} \times 100 = \frac{1}{5} \times 100 = 20 \\ [/tex]
Solve the slope for the table.
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Answer:
Slope = -1
Step-by-step explanation:
7-9/-1+3=-2/2=-1 : Slope Formula
Please solve this, i will mark brainliest
Answers
Answer:
[tex]k=-2[/tex]
Step-by-step explanation:
Let's write the left hand side as a negative power, and 9 as a power of 3:
[tex]3^-^k=3^2[/tex] At this point, for the equality to still stand, the exponents have to be equal:
[tex]-k = 2 \rightarrow k=-2[/tex]
3 -k = 3 2
-k=2
K=-2
Round 4.789473684 Please
Please hurry and actually help!
Answers
Answer:
4.79 or 4.789
Step-by-step explanation:
the first answer is if you need to round to the nearest hundredth, the second if you need to round to the nearest thousandth. you didn't tell us which was correct so I put both
Car rental company A charges $15 to rent a car plus $2.30 per hour. Car rental company b charges $22 to rent a car plus $1.90 per hour. When would the cost of renting a car from company A be the same as renting a car from company B?
Answers
Answer: The cost of renting a car from Company A be the same as renting a car from company B in 17.5 miles
Step-by-step explanation:
y=2.30x +15
y=1.90x +22
0.4x +7 Divide 0.4 from both sides
x=17.5
y=2.30(17.5)+15
y=40.25+15
y=40.25-15
y=25.25
I need helpppp with 1-9
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1. x=1 y=3
2. x=2 y=1
3. x=2 y=2
4. x=5 y=5
5. x=2 y=0
6. x=2 y=1
7. x=3 y=-1
8. x=1 y=-3
9. x=1 y=0
Tell me if you want a step by step on any of them!! I can add that if you want.
Hope this helped. :)
Graph: y < 1/3x+1/2 plot this on a graph
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it's was helpful to you dear ❤️❤️❤️
Answer:
Plot (0.5, 1.5) on the graph.
Which point is a solution to the inequality? (3, 1/2)
Step-by-step explanation:
if an angle is bisected to form two new 16° angles, what was the measure or the original angle
Answers
Answer:
32°
Step-by-step explanation:
16 × 2 = 32
Keywords:
Bisected; means to divide into two parts.
Answer:
So, original angle = 16°+16° =>32°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Find the number that makes the ratio equivalent to 1:2.
6:
What is it
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Which equation is epuivalent to -(6 - x)= 24
Answers
Answer:-6- x = 24
Step-by-step explanation:
