Quick!!! Solve for the missing lengths using trigonometric ratios.
*
110m
42°
Х
Answers
Answer:
see explanation
Step-by-step explanation:
using the tangent ratio in the right triangle to find x
tan42° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )
x × tan42° = 10 ( divide both sides by tan42° )
x = [tex]\frac{10}{tan42}[/tex] ≈ 11.1 ( to 1 dec. place )
-------------------------------------------------
using the sine ratio to find the hypotenuse h
sin42° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{10}{h}[/tex] ( multiply both sides by h )
h × sin42° = 10 ( divide both sides by sin42° )
h = [tex]\frac{10}{sin42}[/tex] ≈ 14.9 ( to 1 dec. place )
Related Questions
Write down the first 4 terms of a sequence that starts at 0 and decreases by 6 in each term.
Answers
Answer:
0, -6, -12, -18
Step-by-step explanation:
start at 0, then subtract by 6 to get -6. then subtract 6 again to get -12. then subtract 6 again to get -18.
please give brainliest!!!!
Which is equivalent to 4 (9) 1/2 ^x
O 9^2x
O 9 1/8 ^x
O (9)^x
O 6(9) ^x
Answers
Answer:
36/2^x
Step-by-step explanation:
= 4 X 9 x 1/2^x
= 36/2^x
heres another one of those impossible looking problems for another chance for a brainly no links please
Answers
Answer:
B. X=6 onlyStep-by-step explanation:
Isolate the term of x from one side of the equation.
[tex]\sf{\sqrt{2x-3}=x-3}[/tex]
2x-3=x²-6x+9
Solve.
[tex]\sf{2x-3=x^2-6x+9=\boxed{\sf{x=6}}[/tex]
Therefore, the solution is x=6, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Hope this was helpful :)
So if I have 6,000 dollars and I need 20,000 how much money do I need to earn to reach 20,000?
Answers
Answer14,000
Step-by-step explanation:
20,000-6,000=14,000
Answer:14000
Step-by-step explanation:
20000 - 6000, not sure why ur doing these type of problems in highschool
A salesperson earned x dollars last year. The salesperson earned 25% more money this year than last
year. Which expressions represent the amount, in dollars, the salesperson earned this year?
Drag and drop each correct expression into the box.
HELP PLS
Answers
More earnings:-
25% of x0.25xTotal earnings this year
x+0.25x(1+0.25)x$1.25xAnswer:
[tex]\$ \huge{\text{(} \dfrac{x}{4} \ + \ \dfrac{4x}{4} \huge{\text{)}[/tex]
Step-by-step explanation:
Given:
Last year: $x
Determining the money earned for this year:
This year = 25% more than last year
= $25x/100 + $x
= $x/4 + $4x/4
The expression that represents the money earned this year is $x/4 + $4x/4.
what are the slope and y - intercept of the equation 6x+3y=-12
Answers
Answer:
Slope= -2
y-intercept= -4
Step-by-step explanation:
To find the slope and y-intercept of a given equation, first rearrange the equation such that it is in the slope-intercept form. In the slope-intercept form, the coefficient of y is 1 and the rest are moved to the left hand side of the equation.
[tex]\textcolor{steelblue}{\text{Slope-intercept form}}[/tex]
y= mx +c, where m is the slope and c is the y-interceptGiven equation: 6x +3y= -12
Let's leave the y term on the left of the equation and bring the rest to the right.
3y= -6x -12
To ensure that the coefficient of y is 1, divide both sides by 3.
y= -2x -4
The equation is now in the slope-intercept form.
The slope is the coefficient of x (the number that comes before x), thus the slope is -2. The y-intercept is -4.
what is the surface area of the a cylinder with base radius 3 and height 8.
Answers
Bonjour,
πr² *h
3,14 * 3² *8
= 3,14 *9 *8
=>226, 08 ....²
Answer:
66π square units
Step-by-step explanation:
help! please! now!.............
Answers
Answer:
The answer is 133.5
Step-by-step explanation:
See the image above
25 cows produce 4 2/3 literes of milk how much milk is this in total
Answers
Answer:
116 2/3 liters of milk
Step-by-step explanation:
4 2/3 liters of milk per cow * 25 cows = 350/3 liters of milk = 116 2/3 liters of milk
I hope this was good enough. Happy mathing!
What’s 70x56,000+65,000,000
Answers
What is the value of y in the equation 2 + y = −3?
Answers
I believe that y is equal to -5.
y=-5
help me please thank you
Answers
Answer:
o = 20.18; b = 13.51i = 12.68; n = 27.19Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relations between sides and trig functions in right triangles. These can be used to solve the triangles shown.
__
1.Sin = Opposite/Hypotense
sin(48°) = 15/o
o = 15/sin(48°) ≈ 20.18 . . . . . . . . . multiply by o/sin(48°)
Cos = Adjacent/Hypotenuse
cos(48°) = b/o
b = o·cos(48°) = 20.18·cos(48°) ≈ 13.51
For triangle BOX, o = 20.18, b = 13.51.
__
2.Sin = Opposite/Hypotense
sin(25°) = i/30
i = 30·sin(25°) ≈ 12.68
Cos = Adjacent/Hypotenuse
cos(25°) = n/30
n = 30·cos(25°) ≈ 27.19
For triangle TIN, i = 12.68, n = 27.19.
14) $400 interest is earned on a principal of $2,000 at a simple interest rate of 5%
interest per year. For how many years was the principal invested?
ок
Answers
4 years
Step-by-step explanation:[tex]per\ year\ earn:2000\times 5\%=100[/tex]
[tex]years\ needed:\ \ \ \ \ 400\div 100=4[/tex]
I hope this helps you
:)
Answer:
4 years
Step-by-step explanation:
Given data
Simple interest= $400
Principal= $2000
Rate= 5%
The simple interest formula is given as
SI=PRT/100
substitute and solve for T
400=2000*5*T/100
cross multiply
400*100= 10000*T
40000=10000T
T= 40000/10000
T= 4 years
Hence the time taken is 4 years
Multiplication and __are inverse operations. addition subtraction O division
Answers
Answer:
Division is the opposite of multiplication
Step-by-step explanation:
Opposites:
Addition and subtraction
multiplication and division
differentiation and integration.
A triangle has sides with lengths of 63 miles, 64 miles, and 85 miles. Is it a right triangle? Yes or no?
Answers
Answer:
no it is not a right angled triangle.
Step-by-step explanation:
forthetra
If this is a right triangle (meaning one of the angles in the triangle is 90 degrees) then the lengths of the sides should make the formula true.
a^2 + b^2 = c^2 (c being the longest side or hypotenuse)
so plug in the lengths and prove or disprove the statement.
(63)^2 + (64)^2 = (85)^2
3969 + 4096 = 7225
8065 = 7225 false
The answer is NO it is not a right triangle.
I hope this helps and is the BRAINLIEST!
Good luck with your studies!
Friction creates heat and lowers the _______
Answers
Answer:
energy
Step-by-step explanation:
Answer:
energy
Step-by-step explanation:
Which expression is equivalent to 3 square root of x^5 y
Answers
[tex] \sqrt[3]{ {x}^{5}y } = {x}^{ \frac{5}{3} } {y}^{ \frac{1}{3} } \\ [/tex]
Thus the second option is the correct answer
PLEASE HELP ASAP Here is the question afterward:
Answers
17 (1/5) × 17,5 = 301
,..,.
What is the area of the shaded sector of the circle? 20pi units squared 40pi units squared 180pi units squared 400
Answers
The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
What is the sector of a circle?
A sector is the portion of a circle enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger is the major sector.
The radius of the sector =20 units
Central angle subtended by sector = 162° = 162π/180 radians
As we know the area of a sector= 0.5r²α
where r is the radius and α is the central angle.
So, the area of the given sector = 0.5*20²* 162π/180
The area of the given sector = 180π unit²
Therefore, The area of the sector with a radius of 20 units and a central angle of 162° is 180π unit².
To get more about the sector visit:
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Answer:
its c
Step-by-step explanation:
help please and please hurry this assignment is due 11:59
Answers
Then lower shape, triangle: 13.5
Then you add both:
B) 58.5 square feet:))
Which expression is equivalent to Cosine (StartFraction pi Over 2 EndFraction r) for all values of r?.
Answers
The expression that is equivalent to [tex]Cos(\frac{\pi }{2}+r )[/tex] is [tex]-Sinr[/tex].
Given trigonometric expression is:
[tex]Cos(\frac{\pi }{2}+r )[/tex]
What is the value of [tex]Cos(\frac{\pi }{2}+\theta )[/tex]?The value of [tex]Cos(\frac{\pi }{2}+\theta )[/tex] is [tex]-Sin\theta[/tex] because [tex]\frac{\pi }{2} +\theta[/tex] lies in the second quadrant and the cosine function is negative in the second quadrant.
So, [tex]Cos(\frac{\pi }{2}+r )= -Sin r[/tex]
The range of sine and cosine functions is the same i.e. [-1,1].
Both the functions are periodic functions with periods 2π.
Hence, the expression that is equivalent to [tex]Cos(\frac{\pi }{2}+r )[/tex] is [tex]-Sinr[/tex].
To get more about trigonometric functions visit:
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The relative frequency of Event A in an experiment is 13.
If the experiment is performed 30 times, how many times should you expect Event A to occur?
Enter your answer as a number, like this: 42
!!PLEASE HELP ME IM NOT GOOD AT MATH AT ALL!!
Answers
Based on the relative frequency and the number of times the experiment is to be performed, the number of times Event A should occur is 10 times.
How many times should Event A occur?The relative frequency in this regard is 1/3.
The number of times it will occur can be found as:
= Relative frequency x Number of times event was performed
Solving gives:
= 1/ 3 x 30
= 10 times
Find out more on relative frequency at https://brainly.com/question/3857836.
What is the totale of the recta
square meter
Answers
1/5 x 1/5 = 0.04 or 4/100
4/100 simplified is 1/25
A triangle has angles measureing 40 and 30. What is the measure of the third angle
Answers
Answer: 110 degrees
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees, so the third angle is 180-40-30=110 degrees.
If the circumference is 50 cm what is radius of the circle?
Answers
Answer:
7.96
Step-by-step explanation:
C=2πr undo it
R=C/2π=50/2×π≈7.5775 rounded is 7.96
Hope this helps!
Have a nice day!! :D
The radius of the circle is 7.96 cm.
What is the radius of the circle?The radius of a circle is the distance from the center of the circle to any point on its circumference. It is usually denoted by ‘R’ or ‘r’.
The circumference of the circle is given by;
[tex]\rm Circumference = 2\pi r[/tex]
Where r is the radius of the circle.
Substitute all the values in the formula
[tex]\rm Circumference = 2\pi r\\\\50 = 2\pi r\\\\r = \dfrac{50}{2\times 3.14}\\\\r=7.96[/tex]
Hence, the radius of the circle is 7.96 cm.
To know more about the radius of the circle click the link given below.
https://brainly.com/question/11137975
Nidah writes down two different prime numbers.
She adds together her two numbers.
Her answer is a square number less than 30
Find two prime numbers that Nidah could have written down.
Mathematician
Answers
Answer:
2 and 3
Step-by-step explanation:
prime numbers=2,3,4,5,...
taking 2 and 3
2+3=5
5²=25
hence the different prime numbers are 2 and 3
The numbers can be (2, 7), (2, 23), (3, 13), (5, 11)
What are Prime Numbers?A prime number is a whole number greater than 1 whose only factors are 1 and itself.
Given that, Nidah writes down two different prime numbers.
She adds together her two numbers.
Her answer is a square number less than 30
Square numbers less than 30 are = 1, 4, 9, 16, 25
The pairs of numbers that can satisfy the given condition are;
2 + 7 = 9
2 +23 = 25
3 + 13 = 16
5 + 11 = 16
Hence, Nidah could have chosen from these numbers (2, 7), (2, 23), (3, 13), (5, 11)
For more reference on Prime numbers, click;
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what are the solutions to the equation?
Answers
Answer:
x = -2 and 1
Step-by-step explanation:
Given :
f(x) = x+2
g(x) = -x²+4
The solution to the equation f(x) = g(x)
=> x+2 = -x²+4
=> x²+x = 4-2
=> x²+x -2 = 0
By factorisation
=> x²+2x-x -2 = 0
=> x(x+2) -1(x+2)
=> (x+2) (x-1)
x = -2 and 1
What is the value of w in the equation 2(2w − 16) = 0?
Answers
Answer:
[tex]w=8[/tex]
Step-by-step explanation:
[tex]2(2w-16)=0\\4w-32=0\\4w=32\\w=8[/tex]
Answer:
w = 8
Step-by-step explanation:
2(2w − 16) = 0
Divide each side by 2
2w-16 = 0
Add 16 to each side
2w-16 +16 =0 +16
2w = 16
Divide each side by 2
2w/2 = 16/2
w = 8
An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210.
Answers
Answer:
he has to pay 4980$ in tax So its C) 4,980
The amount of income tax that the electrician has to pay is $4980. Then the correct option is C.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
An electrician has an income of $41,500.
The income tax the electrician has to pay is 12%.
Then the amount of income tax that the electrician has to pay will be
Amount of income tax = 0.12 × $41500
Amount of income tax = $ 4980
Thus, the amount of income tax that the electrician has to pay is $4980.
More about the percentage link is given below.
https://brainly.com/question/8011401
PLEASE HELP I NEED TO TURN THIS IN QUICKK
Answers
Answer:
QUienn quieres ser mi ami
Step-by-step explanation:
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