Answer:
Step-by-step explanation:
ok bro la primera es
In a tournament, a professional golfer knows that she is 200 yards from the hole. A spectator is watching her play and is 140 yards away from the golfer. If the spectator has an angle of 110° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole? 70.0° 41.1° 28.9° 19.9°
Answer:
28.9°
Step-by-step explanation:
The golfer, hole and spectator form a triangle. Let ABC be the triangle and let the angle the spectator has between the golfer and the hole be A = 110°, the angle the golfer has between the spectator and the hole be B and the angle the hole has between the golfer and the spectator be C. Let the angle between the golfer and the hole be a = 200 yards, the distance between the spectator and the hole be b and the distance between the golfer and the spectator be c = 140 yards,
Using the sine rule for the triangle, we find angle C.
So, a/sinA = b/SinB = c/SinC
So, a/sinA = c/sinC
sinC = csinA/a
C = sin⁻¹(csinA/a)
Substituting the values of the variables into the equation, we have
C = sin⁻¹(csinA/a)
C = sin⁻¹( 140sin110°/200)
C = sin⁻¹( 7 × 0.9397/10)
C = sin⁻¹(6.5778/10)
C = sin⁻¹(0.65778)
C = 41.13°
We know that A + B + C = 180° (sum of angles in a triangle)
And since the angle the golfer has between the spectator and the hole be B
So, B = 180° - (A + C)
B = 180° - (110° + 41.13°)
B = 180° - 151.13°
B = 28.87°
B ≅ 28.9°
The angle that the golfer has between the spectator and the hole is 28.9°.
Angel between spectator and holes:Using the law of sines:
BC/SinΔBAC=AB/SinΔACB
Hence,
200/Sin110°=140/SinΔACB
ΔACB=41.1°
Thus,
ΔABC=180°-ΔBAC-ΔACB
ΔABC= 180° - (110° + 41.1°)
ΔABC= 180° - 151.1°
ΔABC= 28.9°
Inconclusion the angle that the golfer has between the spectator and the hole is 28.9°.
Learn more angle here:https://brainly.com/question/25770607
Simplify the following expression:
-3(x+6)+8x
3x-25
5x-22
-11+3x
5x-18
Answer:
5x -18
I hope this helped! have a nice day! :)Answer:
5x+18
Step-by-step explanation:
5 x 1/4
how can you use addition to show that your answer is correct?
Answer:
Step-by-step explanation:
[tex]5*\dfrac{1}{4}=\dfrac{5}{4}\\[/tex]
Using addition,
Add (1/4) , five times
[tex]\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{1+1+1+1+1}{4}\\\\=\dfrac{5}{4}[/tex]
Answer:
5/4
Step-by-step explanation:
Add 1/4 together 5 times:
1/4 + 1/4 + 1/4 + 1/4 + 1/4 = 5/4
solve for θ:
sin(θ-70)=cos(θ)
pls help and explain step by step
thank you
Answer:
Use this rule : cosx = sin (90 - x)
sin( x -70) = sin (90 - x)
x-70 = 90 - x
2x = 160
x = 80
using trig to solve for missing angle
Answer:
x = 14.0902 (After rounding to the nearest ten-thousandth)
Step-by-step explanation:
Using the bottom angle to solve x, the best option to use would be sine as we have the length for the opposite leg. Then we do the following:
Sin(69) = Opp/Hyp
Sin(69) = 14/x
0.9336 = 14/x
0.9336(x) = 14/x(x)
0.9336x = 14
0.9336x/0.9336 = 14/0.9936
x = 14.0902
Which points are possible approximations for this system? Select two options.
Step-by-step explanation:
second: (2.2,-1.4)
third: (2.2,-1.35)
Step-by-step explanation:
hope it helps✨
3 1/2 + (-5 2/3 ) ÷ ( 1 3/4)²
A graph is shown.
How do you determine if this is a function or not? Is this a function. Help please
Answer:
Not a function
Step-by-step explanation:
we see on this graph,
(1,2) and (1,7)
we have two of the same x points, when put on a graph, that would be having 2 of the same inputs.
which always means it's not a function.
G is a transformation of f. The graph below shows f as a solid blue line and g as a dotted red line. What is the formula of g in terms of f?
Answer: f(x-2) which is choice A.
The blue f(x) curve is shifted 2 units to the right to get the red g(x) dashed curve.
============================================================
Explanation:
For now, ignore the red dashed curve g(x). Imagine that the blue curve f(x) is fixed in place. If we shifted the xy axis to the left 2 units, then this gives the illusion the blue curve is moving even though the curve is fixed in place.
The operation "shift xy axis 2 units to the left" means each x input is 2 units smaller. So each x input is now x-2.
Therefore, going from f(x) to f(x-2) will shift the blue curve 2 units to the right to land perfectly on the red dashed g(x) curve.
Correct answer gets 5 star
Answer:
Step-by-step explanation:
A
85°
4x + 21°
what do I am suppose
Answer:
x= 16
4x+21 = 85 degrees
Step-by-step explanation:
The angles shown are vertical angles and vertical angles are equal
85 = 4x+21
Subtract 21 from each side
85 -21 = 4x+21-21
64 = 4x
Divide by 4
64/4 = 4x/4
16 = x
Answer:
16degrees
Step-by-step explanation:
As these angle are (vertically opposite angles)
So,85=4x+21,
85-21=4x
x=64/4
x=16degrees
A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.
Answer:
A fruit seller bought 160 kg of apples at Rs. 32 per kg. He sold one fourth of them at Rs. 40 per kg and sold the rest at Rs. 31 per kg. Find his profit or loss.
CATEGORIESENGLISH
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What does media literacy mean?
A. The practice of reading things that are on a screen
B. The practice of being able to identify the different types of media
C. The practice of being able to access, analyze, and evaluate media
D. The practice of using multiple media at one time
Answer:
C.
Step-by-step explanation:
Media literacy encompasses the practices that allow people to access, critically evaluate, and create or manipulate media.
m/HCB = 60°, m/DCB = 9x-1, and m/DCH = 2x+ 16. Find x
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
Note that ∠DCB is the sum of ∠HCB and ∠DCH. Hence:
[tex]m\angle DCB = m\angle HCB + m\angle DCH[/tex]
Substitute in the appropriate values/expressions:
[tex](9x-1) = (60) + (2x+16)[/tex]
Solve for x. Combine like terms:
[tex]9x - 1 = 2x + 76[/tex]
Subtract 2x from both sides:
[tex]7x - 1 = 76[/tex]
Add one to both sides:
[tex]7x = 77[/tex]
And divide. Hence:
[tex]x=11[/tex]
Answer:
x=11
Step-by-step explanation:
<DCB = <DCH + < HCB
9x-1 = 2x+16 + 60
Combine like terms
9x-1 = 2x+76
Subtract 2x from each side
9x-1-2x= 2x+76-2x
7x-1 = 76
Add 1 to each side
7x-1 +1 = 76+1
7x = 77
Divide by 7
7x/7 = 77/7
x=11
A picture is 46 cm by 32 cm. A scale diagram of the picture must fit in a space that is 3 m by 2 m. Which scale would be the most reasonable one to use for the scale diagram?
Answer:
A picture that is 46cm by 32 cm must fit in a space that is 3m by 2m
First, let's rewrite both of these dimensions in the same units.
Knowing that:
1m = 100cm
Then the dimensions of the space can be rewritten from:
3m by 2m
to:
300cm by 200cm
So, if we enlarge our original picture by a scale factor K, the new dimensions of the picture will be:
K*46cm by K*32cm
Now we just need to find a value of K such that:
K*46cm is something near to 300cm
K*32cm is something near to 200cm
First, we can solve the equation:
K*46cm = 300cm
solving this for K we get:
K = 300cm/46cm = 6.5
While if we solve the equation:
K*32cm = 200cm
we get:
K = 200cm/32cm = 6.25
So we got two possible scale factors.
Which one we should take?
Notice that if we wanted to use the larger one (K = 6.5) for the 32cm side. the new length would be:
32cm*6.5 = 208cm
This is larger than the 200cm of space that we have
Then we can not select the larger option, we can only take the other value:
K = 6.25
Then we can conclude that a reasonable scale factor to use is K = 6.25
please help with question 6.
A,b,c and d
9514 1404 393
Answer:
a) 6.4 m
b) 5.7 m
c) 6.3 m
d) 6.0 m
Step-by-step explanation:
The benefit of using a spreadsheet for repetitive calculations such as these is that it can also help with the addition/subtraction necessary to find the length not given directly.
In the attached, the "a" length is the one requiring arithmetic; the "b" length is given directly on the diagram, and the "c" length is the hypotenuse of the right triangle with legs "a" and "b". "c" is the direct distance from A to B.
For example, consider figure (a). The horizontal distance from A to B is 10 m-6 m = 4 m. In the attached spreadsheet that difference is entered in row 'a', column 'a' as "=10-6". The length "c" is computed using the Pythagorean theorem:
c² = a² +b²
c = √(a² +b²)
For figure (a), this is ...
c = √(4² +5²) = √41 ≈ 6.4 . . . meters
2) Tìm các giá trị của x để biểu thức M = (x + 5).(x + 9)
a) có giá trị dương. b) có giá trị âm
Answer:
please translated to english
can you please help me with this.
Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
[tex]a_n=a_1+d(n-1)[/tex] where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
[tex]a_n=2+3(n-1)[/tex] which simplifies to
[tex]a_n=2+3n-3[/tex] and a bit more to
[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
[tex]a_{13}=3(13)-1[/tex] so
[tex]a_{13}=38[/tex]
Answer:
38
Step-by-step explanation:
This isn't the most efficient way but it's the best I can do.
2, 5, 8, 11....
The pattern is that we add 3 every time.
2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,
1 , 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13
We can see that 38 is the 13th term of the sequence.
PLEASE HELP IT IS DUE IN TWO HOURS AND I CANT UNDERSTAND IT PLSSSSSS
Given: x-5> -10.
I clicked it on accident so ignore the blue thing ! Help needed
Answer:
the first one
Step-by-step explanation:
[tex]x - 5 > - 10 \\ x > - 10 + 5 \\ x > - 5[/tex]
how can i learn math well?
Answer:
you can use brainly because the ppl on here are smarter than all of us and they also explain how to solve answer so you can focus really hard to understand heh
2x-3=5
(x+2)(3x-15)=0
Answer:
the first one gat to be x=4
Answer: 17
Step-by-step explanation: :)
What is the sum of the greatest number and least number formed by the digits 4,7,0and 9
Answer:
13819
Step-by-step explanation:
The biggest number is :9740
The smallest number is :4079
Sum means addition so...
9470 + 4079 = 13819
Simplify 4x (2x−y) − 3x (x-2y) −2x + 1 and find its value for = -1 and y = 2.
Answer:
Step-by-step explanation:
4x*(2x - y) - 3x(x - 2y) - 2x + 1
Use distributive property
= 4x*2x - 4x*y -3x *x - (-3x) * 2y - 2x +1
= 8x² - 4xy - 3x² + 6xy - 2x + 1
= 8x² - 3x² - 4xy + 6xy - 2x + 1
Combine like terms
= 5x² + 2xy - 2x + 1
Substitute x = -1 & y = 2
= 5(-1)² + 2*(-1)*2 - 2(-1) + 1
= 5*1 - 4 + 2 + 1
= 5 - 4 + 2 + 1
= 4
What is the distance from the plane
Answer:
here's the answer to your question about
In ΔABC, m∠A=a, m∠B=β, m∠C=y. AB = c, AC = b, BC = a. Find the remaining parts of each triangle if the following parts are given.
a=5, b=7, y=31°
Answer:
9.013 square units
Step-by-step explanation:
Match the word to know with its definition
Expanded form
Product
Place value
Digit
A number that is written as a sum of single digit multiples of powers of 10
Any of the symbols ( 0 to 9 ) that are used to write a number
The result of multiplying two or more numbers together
The value of where a digit is located in a number
Please someone explain
Triangles and angles
X=______ degrees
X 48
96
Exterior Angle property = sum of interior opposite angle is equal to the exterior Angle
x= 48+96
x= 144°
Answer:
144°
Step-by-step explanation:
x is an exterior angle of the triangle.
Angles 96° and 48° are interior angles of the triangle that are not adjacent to angle x. Angles 96° and 48° are called the "remote interior angles" of exterior angle x.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
x = 48 + 96
x = 144
Answer: 144°
A class of 245 students went on a field trip. They took 9 vehicles, some cars and some buses. Find the number of cars and the number of buses they took if each car holds 5 students and each bus hold 45 students.
Answer:
4 cars and 5 buses
Step-by-step explanation:
245÷ 45=5.4
45×5=225
245-225=20
20÷5=4
Beatrice graphed the relationship between the time (in seconds) since she sent a print job to the printer and the number of pages printed.
10
10
20
20
30
30
40
40
5
5
10
10
15
15Seconds since sending print jobPages printed
What does the
x
xx-intercept represent in this context?
Choose 1 answer:
Given:
Consider the below figure attached with this question.
To find:
The interpretation for x-intercept in this context.
Solution:
In the given graph x-axis represents the second since sending print job and y-axis represents the Pages printed.
At x-axis the y-coordinate is 0. It means the x-axis represents the number of seconds that passed before the printer started printing pages.
Therefore, the correct option is C.
Answer:
B. The number of seconds that passed before the printer started printing pages
Step-by-step explanation:
