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.
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PLZZ HELPLPPPPpppppppppppppppppp
Find the volume and surface area of the composite figure shown below if the figure is built with unit cubes.
Answer:
the volume is 18 and the surface area is 46
Step-by-step explanation:
The volume of the cube will be and the surface area of the cube will be square units.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. The volume of the cube will be calculated by multiplying all three sides of the cube.
The volume will be calculated as below:-
The formula to calculate the volume = l x w x h
The volume of the first part = 2 x 2 x 3 = 12 cubic units
The volume of the Second part = 2 x 2 x 1 = 4 cubic units
The volume of the third part = 2 x 1 x 1 = 2
Total volume of the cube = 12 + 4 + 2 = 18 cubic units.
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The surface area will be calculated as below:-
Surface area of the base = 2 ( 4 x 2) + 2( 2x 1) + 2 ( 4x 1) = 28
Surface area of the middle = 2 ( 3 x 2 ) + 2 ( 2 x 1 ) + 2 ( 3 x 1) = 22
Surface area of the upper side = 2 ( 2 x 2) +2 ( 1 x 2 ) + 2 ( 1 x 2) = 16
The total surface area is calculated as below:-
Total = 28 + 22 + 16 = 66 square units.
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The table represents an exponential function.
What is the multiplicative rate of change of the
function?
х
1
2
y
2
2
5
2
25
2
125
3
4
02
05
Answer:
1/5
Step-by-step explanation:
correct on edg :)
An exponential function is a nonlinear function
The multiplicative rate of change of the function is 1/5
From the table, we have the following ordered pairs
(x,y) = (1,2) and (2,2/5)
Divide the y values, to calculate the rate (r)
[tex]r = \frac 25 \div 2[/tex]
This gives
[tex]r = \frac 15[/tex]
Hence, the multiplicative rate of change of the function is 1/5
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A cylindrical water tower has a base radius of 9 ft and a height of 11 ft. How many gallons of paint would it take to paint the entire tank if one gallon covers 200 square feet? find the surface area and # of gallons
Answer:
200 gallongs
Step-by-step explanation:
Evaluate the following expression for m = 4.
4m + 2
please provide a step by step explanation (:
Answer:
6
Step-by-step explanation:
[tex]\sqrt{4}(4)[/tex] = [tex]\sqrt{16}[/tex]
[tex]\sqrt{16} =4[/tex]
[tex]4 + 2 = 6[/tex]
Answer:
C. 6
Step-by-step explanation:
[tex]\sqrt{4m}+2=\sqrt{4*4}+2=\sqrt{4^{2}} +2=4+2=6[/tex]
Describe the correct answer to this problem including units what is the surface area of the figure
Answer:
A = 22.5π ft² ≈ 70.686 ft²Step-by-step explanation:
A = π×(2.5)² + π×2.5×6.5 = 6.25π + 16.25π = 22.5π ≈ 70.686 ft²
{6.5 ft is not a height, it's slant length}
solve for y. y = 2x - 3
Answer:
..y d tu ideograma idiosincrasias
Which of the following survey questions would the least biased?
A When it comes to pets, do you prefer dogs?
B Would a theme park with expensive tickets be a good place for a field trip?
C What is your favorite horror movie?
D Would you like to waste taxpayers' money to build a new skate park?
Answer:
D- Would you like to waste taxpayersy money to build a new skate park
You want to build a fence around your triangular pool. How many meters of fence will you need? If necessary, round t
the nearest tenth.
15 m
13 m
a.
b.
C.
d.
35.5 m
7.5 m
56 m
97.5 m
Answer:
35.5m
Explanation:
Find the diagram attached
First you need to get the missing side of the triangular pool using the pythagoras theorem;
Let the missing side be x
x² = 15² - 13²
x² = 225 - 169
x² = 56
x = √56
x = 7.48m
Amount of meter of fence needed is the perimeter of the triangular pool
perimeter of the triangular pool = 15 + 13 + 7.48
perimeter of the triangular pool = 35.48m
perimeter of the triangular pool = 35.5m
Hence the amount of meters of fence needed is 35.5m
Help please :)))))))))))))))))
Answer:
Using Sine Rule
w= 19.8
A bag contains 8 green M&Ms, 12 blue M&Ms, and 2 orange M&Ms. What is the
probability of choosing a green M&M, eating it, and then choosing a blue M&M?
Please help me this is turn in tomorrow please.
Answer:
16/77 or about 21%
Step-by-step explanation:
P(G,B) = 8/22 x 12/21 = 16/77 (simplified)
A warehouse has a height of 8 2/10 meters, length of 120 meters, and width of 20 3/10 meters. What is the volume of the warehouse?
Volume = 119975.2 meters3
what is the cube root of 8
Answer:
its 2
Step-by-step explanation:
because 2*2*2 is 8
5x-4=16 value of x is what?
Answer:
x = 4
Step-by-step explanation:
5x-4=16
Add 4 to both sides of the equation.
5x = 20
Divide both sides by 5.
x = 4
Answer:
x=4
Step-by-step explanation:
You first add 4 to both sides and get 5x=20. Then you divide both sides by 5 to isolate the x and get x=4.
Hope this helped :)
WILL GIVE BRAINLIEST!
Ify is floating freely in outer space. The gravitational forces pulling on her body are negligible except for the forces from a nearby asteroid (a) the nearest planet (p) and the nearest star (s) The asteroid, planet, star, and Ify all lie in the same plane.
a= (2,4)
p=(-1.-3)
s=(8,2)
Answer:
The magnitude of the net gravitational force acting on Ify is 9.1 newtons.
Ify is getting pulled in a direction of 6.2 radians.
Step-by-step explanation:
The vector g = (9,-1) describes the net gravitational force acting on Ify.
We can find the magnitude of g, using the Pythagorean theorem.
Please help thanks!!!
Answer:
Parallelogram
Step-by-step explanation:
15 points and brainliest any tips on this homework to get my grade from a 60 to a 70 all help is appreciated!!!
Answer:
I don't see anything I could try to help you with.
does anybody know vertex form pls help
Answer:
9. y=(x+1)^2+4
10. y=(x-1)^2+4
7. (6,1)
8. (5,-2)
You randomly select 2 marbles from a mug containing 7 blue marbles, 3 red marbles, and 2 white marbles. How many times greater is the probability of selecting one blue marble and then one red marble when you do not replace the first marble before selecting the second marble than when you do replace the first marble before selecting the second marble? Express the answer as a fraction.
Answer:
Scenario 1: w/o replacement: P(blue, then red) = (7/12)(3/11) = 7/44
Scenario 2: w/ replacement: P(blue, then red) = (7/12)(3/12) = 7/48
Ratio of Probability #1 to Probability # 2 = 48/44 = 12/11, i.e. Prob # 1 is 1.0909... times Prob # 2
Step-by-step explanation:
use the graph of g(x)=3 √x to help you explain why there is only one solution for every cube root equation of the form y=3 √x+a in which a is a real number
Answer:
G(x)=2x32+c
Step-by-step explanation:
Find the sum of the first 10 terms for the following sequence: a = {-1, 2, 5, ... }
Answer:
see, to find the next number, you need to add three to the last one
for example, the 3 was added to 2, so we have five here
5+3=8
8+3=11
and ....
so the next ten numbers are:
8, 11, 14, 17,20,23,26,29,32,35
I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it
Answer:
it's +3 each time
Step-by-step explanation:
the formula for the nth term of an arithmetic progression is
[tex]a _{n} = d \times n + a _{1} - d[/tex]
What is 0.75 = 0.4 + 100
Answer:
0.75≠100.4
Step-by-step explanation:
Sarah's family of 4 went camping for 1 week. they each year 3 paper plates a day. how many paper plates did the family use up week while they were camping?
Answer:
84
Step-by-step explanation:
they use 3 plates a day
there are 4 of them
so in one day, they use 12 plates [3x4]
they camp for 7 days, so 12x7.
84!! :D
Sue has 18 sweets
Tony also has 18 sweets.
Sue gives Tony x sweets
Sue eats 5 of her sweets.
Tony eats half of his sweets.
Writ expressions of sweets Tony and sue now have
Answer:Find out the expressions for the number of sweets sue and tony have now .
To proof
As given
Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets
thus
sue sweets = 18 - x
Tony sweets = 18 + x
As given
Sue then eats 5 sweets. Tony then eats half of his sweets
sue sweets becomes = 18 -5 -x
= 13 - x
Hence proved
Step-by-step explanation:
what is the meaning of equations
Answer:
I hope it helps u
Step-by-step explanation:
In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol(=) between two algebraic expressions that have the same value. ... In an algebraic equation, the left-hand side is equal to the right-hand side.
Mark me as brainlist answer,
have a nice day,
thank you
Perimeter, Area, and Volume
What is the volume of a
rectangular prism that has a
height of 6 inches, a length
of 2 inches, and a width of 7
inches?
Answer:
84
Step-by-step explanation:
LengthxWidthxHeight.
6x2x7=84
3.6 ÷ 0.08 + 5.2 • 2.5
Answer: 58
Step-by-step explanation:
Answer: the answer is 58
you could've used calculator lol.
hope it's right.
Step-by-step explanation:
What is the rate of Change in y=8x - 4
Answer:
The slope or rate of change is 8
Step-by-step explanation:
There isn't much to explain, sorry! I hope this helps!
PLS HURRYYYYYYYY
Which word describes the 5 in the expression 5n? A. coefficient B. exponent C. product D. sum
Answer:
Step-by-step explanation:
It would be either A or C
Most likely A Hope this helps ya <3
The word describing 5 in the given expression is a coefficient.
What is an expression?An expression, in math, is a sentence with a minimum of two numbers and at least one math operation in it.
Given that an expression 5n, we need determine the word used for number 5,
We know that, the numbers connected to a variable by multiplication is called a coefficient.
Here,
5n = 5 × n,
n = variable, 5 = coefficient.
Hence the word describing 5 in the given expression is a coefficient.
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A triangle contains angles measuring 28oand 37o. How many degrees is the third angle?