The diver is approximately 276.5 feet away from the boat to the nearest foot.
What are trigonometric identities?There are three commonly used trigonometric identities.
Sin x = Perpendicular / Hypotenuse
Cosec = Hypotenuse / Perpendicular
Cos x = Base / Hypotenuse
Sec x = Hypotenuse / Base
Tan x = Perpendicular / Base
Cot x = Base / Perpendicular
We have,
We can use the tangent function to solve this problem.
Let x be the distance from the boat to the point directly below the scuba diver on the water's surface.
Then we have:
tan(39°) = x/356
Multiplying both sides by 356, we get:
x = 356 tan(39°)
x = 276.5
Therefore,
The diver is approximately 276.5 feet away from the boat to the nearest foot.
Learn more about trigonometric identities here:
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i need help quick its due today please help show WORK and how to do it . NO links
a - 5 = -12
Answer:
a = -7
Step-by-step explanation:
a - 5 = -12
+5 +5
a = -7
Answer:
a = -7
Step-by-step explanation:
First, we have to make both sides equal. We do this by isolating the variable a. When we add 5 to -12, it becomes -7.
Paul has 16 baseball cards and 12 Pokémon cards. What is the ratio of baseball to Pokémon?
Answer:
16:12
Step-by-step explanation:
This is the right answer because 16 baseball cards is the most to 12 Pokemon cards as the least or smallest
Answer:
The answer is 16:12
The answer is 16:12, but if it needs to be simplified then the answer would be 4:3
6. A particle is moving on a straight line such that a(t) = cost, s(0) = 0, v(0) = 5.
Find the position s(t) of the particle.
Step-by-step explanation:
St3-623t+4St3-623t+4V=St3-623t+4V=dsSt3-623t+4V=dsdtSt3-623t+4V=dsdtSo 3t²12 + 3 = vSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0St3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sSt3-623t+4V=dsdtSo 3t²12 + 3 = vagain differentiate,a =6t - 12 = 0t=2sv=3(2)² - 12 x 2+3=-9ms-1Equation 1: 2x - 3y = 6
2
y x6
What is the best description for the lines?
A)
parallel
B)
perpendicular
C)
the same line
D)
intersecting but not perpendicular
Answer:
I think the answer is intersecting but not perpendicular
The temperature was 14`°F`. If the temperature dropped 5 degrees every hour for 4 hours, what is the temperature after the 4 hours? Which equation could represent this situation?
Answer:
-6F
Step-by-step explanation: It would be 5F(4hr) = 20F. So if you have 14F subtract 20F you get -6F. Hope this helped.
Can someone plz answer these 2 questions plz? I'll give brainliest
Answer: gaming
Step-by-step explanation: gaming is a good sport
What is the value of this expression when x= -4 and y= 64? -437 + 12 O A O OB. OC. OD. -48
How do you write 4.7x10^1 in standard form?
Answer:
Hello I am here to help!!
Step-by-step explanation:
The answer is 47
It's written as 47! <3
ASAPPP
-WILL MARK BRIANIST
Answer:
A. 2:1
Step-by-step explanation:
pretty sure larger numbers go first
Answer:
D) 1:2
Step-by-step explanation:
You receive a $7000 gift which you want to invest for 4 years. How much money would you have in the bank account if the interest rate is 12% and is compounded continuously?
Answer:
The final balance is £11,285.58.
The total compound interest is £4,285.58
Step-by-step explanation:
hope that's right and it helps you
also please tell me If I got it right or wrong
120 sweets are put into three different size boxes.
The sweets are put into a small box, a medium box and a large box in the ratio 1:2:5
Work out the number of sweets in a large box.
Answer:
75 sweets
Step-by-step explanation:
Given that
There is 120 sweets that are put into three different size boxis
And, the ratio of small box to medium box to large box is 1:2:5
We need to find out the no of sweets in the large box
So,
The number of sweets in a large box is
= 120 sweets × 5 ÷ (1 + 2 + 5)
= 120 sweets × 5 ÷ 8
= 75 sweets
A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%
Answer: #444
Step-by-step explanation:
First find the original selling price of the article.
When sold for #372 the profit was 24%. Assume the original price is x.
372 = x + 24% * x
372 = 1.24x
x = 372 / 1.24
= #300
If he wanted to make a profit of 48% he should have sold for:
= Original price + (original price * 48%)
= 300 + (300 * 48%)
= #444
What is the volume of this 3 dimensional figure
Answer: 2496in³
Step-by-step explanation:
To find volume, multiply the numbers by length, width, and height.
In this case, 24 is the length, 8 is the width, and 13 is the height.
24 × 8 × 13 = 2496 inches ³ (cubed).
Answer:
option C 2496
Step-by-step explanation:
you multiply 13 by 24 by 8
PLZ SOMEONE HELP I FORGET HOW TO DO THIS AND IT'S FINALS I WILL BRAINLIST NAD GIVE A LOT OF POINTS
Answer:
Good luck!
Step-by-step explanation:
8. -3.2
X= -9+14 = 5
Y= 0-16 = -16
-16/5 = -3.2
9. 1.5
X= 13-2 = 11
Y= -1+18= 17
17/11= 1.5
4 Stretch Your Thinking: Brian has some boxes of paper clips. Some boxes hold 10 clips and some boxes hold 100. He has some paper clips left over. He has three more boxes with 100 paper clips than he has boxes with 10 paper clips. He has two fewer paper clips left over than he has numbers of boxes with 100 paper clips. What number of paper clips could he have?
Answer:
Any of {412, 523, 634, 745, 856, 967, 1078, 1189}
Step-by-step explanation:
Relations are given between the number of 10-clip boxes, the number of 100-clip boxes, and the number left over. We assume there are at least one of each size box, and that there are fewer than 10 clips left over. (10 could be put into another box.)
__
Let h represent the number of 100-clip boxes. Then h-3 is the number of 10-clip boxes, and h-2 is the number of clips left over. The total number of paperclips is ...
10(h -3) +100h +(h -2) = 111h -32
In addition, we require ...
h -3 > 0 and h-2 < 10
3 < h < 12 . . . . . . . rearranging these inequalities
So, Brian could have 111h -32 paper clips, where 3 < h < 12. That could be any of {412, 523, 634, 745, 856, 967, 1078, 1189} paper clips.
triangle abc is similar to triangle fgh solve for x
Answer:
A= 24
Step-by-step explanation:
First find the scale factor. so the scale factor for these two triangles is 1.5.
21 / 14 = 1.5
18 / 12 = 1.5
So you are going to multiply 16 x 1.5
That will give you 24.
Edison, Xiu, and Amia are childhood friends who go to different high schools. They were wondering if there's
a difference between their schools in the number of friends people have on social media.
They each surveyed a random sample of students from their schools, asking for the number of friends they
have on social media. Here are the results:
They want to perform a x2 test of homogeneity on these results.
What is the expected count for the cell corresponding to students from Edison's school that have more
than 300 friends?
You may round your answer to the nearest hundredth.
Expected:
Answer:
22.33
Step-by-step explanation:
khan
What is the range of the function f(x) = -3x + 1 when the domain is {-2, 0, 3}?
A. all real numbers
B. {-31, -29, -32}
C. {7, 1, -8}
D. {-5, 1, -8}
Answer:
Solution given:
f(x) = -3x + 1
f(-2)=-3×-2+1=7
f(0)=-3×0+1=1
f(3)=-3×-3+1=-8
So
Range is {7,1,-8) is a required answer
Lin says that the inequalities LaTeX: h>150h > 150 and LaTeX: h<160h < 160 describe her height in centimeters.
What do the inequalities tell us about her height?
Can you guys help me!!!!!!!
Answer:
Lin is between 150 and 160 cm
Step-by-step explanation:
The height is represented by the inequality :
h > 150 and h < 160
h > 150 - - (1)
h < 160 - - - (2)
Combining the two :
h > 150 means 150 is less than h but h is not upto 160
Thus, we have ;
150 < h < 160
This means height, h occurs between the range ; 150 cm and 160 cm
PLEASE HELP ASAP SHOW WORK PLEASE!!!!
Answer:
The limit is -1
Step-by-step explanation:
As shown by the equation, it shows x -> -1
which represents x approaching the limit of -1
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%
Answer:
67%
Step-by-step explanation:
Let the percentage of the first solution = x
7 gallons + 4 gallons = 11 gallons
Our system of equation is
Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.
7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons
= 7x + 3.2 = 7.92
Collect like terms
7x = 7.92 - 3.2
7x = 4.72
x = 4.72/7
x = 0.6742857143
Converting to percentage
0.6742857143 × 100
= 67.42857143%
Approximately, the percent concentration of the first solution is 67%
What is the difference of the polynomials?
(x2 - 6x + 2) - (3x? – 7x-8)
So i have a pic i need 1a plz i am giving a bunch of my points plz give it real asap
Answer:
3x - (15 x 3) = 90
or
3x - 45 = 90
Explanation:
There are 3 boxes. We don't know how many are in them yet, so we write this as 3x. However, we know that we give away 15 to 3 different teachers. 15 x 3 = 45
Therefore, the first part is 3x - 45
We also know that in the end we have 90 left.
So our final equation is:
3x - 45 = 90
Which angles are supplementary angles?
Answer:
Angle KJM and Angle LMJ
Step-by-step explanation:
By the looks of the diagram they will surely add up to form 180 degrees
PLEASE HELP ASAP WILL MARK BRAINLIEST
Answer:
a
Step-by-step explanation:
what should be subtracted from -5/3 to get 5/6
Answer:
-3/4-x=5/6
x=-3/4-5/6
x=-3*6-5*4/6*4
x=-18-20/24
x=-38/24
x=-19/12
Step-by-step explanation:
hope it helps
stay safe love u
btw can i get brainliest
Answer:
-5/3 - x = 5/6
-x = 5/6 +5/3
-x/-1 = (5/2)/-1
therefore x = -5/2
therefore -5/2 must be subtracted
1. Calculate the value of 8. 1 × 103 − 2. 4 × 102 in standard form.
2. Blood comprises 8% of the weight of a human. Amy weighs 40kg. Find the weight of her blood.
Step-by-step explanation:
1. We need to find the value of 8.1 × 10³ − 2.4 × 10² in standard form.
We can also write its as :
8.1 × 10³ − 2.4 × 10²
81000 − 240
Standard form = 80760
2.
Amy's weight = 40 kg
Blood comprises 8% of the weight of a human.
Weight of her blood,
[tex]W=8\%\ of\ 40\\\\=\dfrac{8}{100}\times 40\\\\=3.2\ kg[/tex]
So, the weight of her blood is equal to 3.2 kg.
True or False?
When rainfall increases, the water level in the lake goes up. Rainfall is the independent variable in this situation. (4 points)
Answer:True
Step-by-step explanation: I did a quiz on it
Answer:
it is true am I right of this question
A map of a highway has a scale of 2 inches equals 33 miles. The length of the highway on the map is 6 inches. There are 11 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch equals 30 miles. How far apart are the rest stops on the new map?
(nvm)
Answer:
The answer is "0.975"
Step-by-step explanation:
Please find the complete question in the attched file.
Find the remaining distance inside the original map
[tex]\to \frac{9}{6}=1.5 \ in[/tex]
Dividing the value by 6 because there are 7 rest stop:
[tex]\to \frac{2 \ inches}{39 \ inches} =\frac{1.5 \ inches}{x \ miles}\\\\\to x=39 \times \frac{1.5}{2}\\\\\to x=29.25 \ miles[/tex]
Finding the diatance of the rest stop in the new map
Using proportion:
[tex]\to \frac{1 \ inches}{30 \ miles} =\frac{x \ inches}{ 29.25 \ miles}\\\\\to x= \frac{29.25}{30}\\\\\to x=0.975 \ in[/tex]
what type of angles are 1 and 8
Answer:
Alternate exterior angles