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
Determine whether the given is a polynomial in one variable or not:
Polynomial: 4x^2-3x+7
The polynomial is
[tex] {4x}^{2} - 3x + 7[/tex]
Here all the exponents of x are whole numbers, i.e, 2 and 1 are whole numbers.So, this polynomial is a polynomial in one variable.Its variable is x.So, the given polynomial is a polynomial in one variable.
Hope you could get an idea from here.
Doubt clarification - use comment section.
If you roll two fair six-sided dice, what is the probability that the dice show the same number?
Answer:
mom will let you know
Step-by-step explanation:
shes gone
What does (-4)+8-9+12-(-3)
10 is the your answer, hope its worth it
my Christmas present to you
Answer:
ty
Step-by-step explanation:
PLEASE I AM IN DESPERATE NEED OF HELP
Answer:
I think the 3rd one
Step-by-step explanation:
Hope its right
Casey, Lawrence, and Zach form a team to compete in a bicycle relay race. Casey bikes
of the relay race, Lawrence bikes of the relay race, and Zach bikes the remaining
part of the race. Zach claims he biked the largest portion of the race.
Is Zach correct or incorrect, and why?
Answer:
he is incorrect
Step-by-step explanation:
it's wrong because it doesn't make sense
Matthew is shrinking
a photograph picture
with an area of 8
square inches on the
computer. He plans
to reduce the area by
25%. What will be the
area in square inches
of the reduced
photograph?
Fido ate 52 containers of ice cream in 13 different flavors, with 4 of the container containing each flavor. If the first 5 containers were chosen at random, without replacement, what are the chances that 4 of those containers are the same flavor.
Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.
The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
There are 52 containers, hence [tex]N = 52[/tex]For each flavor, there are 4 containers, hence [tex]k = 4[/tex]5 containers are chosen, hence [tex]n = 5[/tex]The probability of choosing all containers of one flavors is P(X = 4).
There are 13 containers, hence, the probability is multiplied by 13.[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]
13 x 0.000018469 = 0.0002
0.0002 = 0.02% probability that 4 of those containers are the same flavor.
A similar problem is given at https://brainly.com/question/25743676
The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.
Given :
Fido ate 52 containers of ice cream in 13 different flavors, with 4 containers containing each flavor. The first 5 containers were chosen at random, without replacement.The probability according to the Hypergeometric distribution is given by:
[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex] --- (1)
where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.
Now, substitute the values of known terms in the expression (1).
[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]
[tex]\rm P(X=4) =0.000018469[/tex]
Now, multiply the above result by 13.
[tex]13\times 0.000018469=0.0002[/tex]
So, the probability that 4 of those containers are the same flavor is 0.02%.
For more information, refer to the link given below:
https://brainly.com/question/23017717
6. Michelle got a new job through the McCartney Employment Agency. The job pays $49,400 per year, and the agency fee is equal to 35% of one month's pay. How much must Michelle pay the agency?
Answer:
$4, 116.66 times 35%=1,440.83 is the answer.
Step by step equation:
The agency fee is 35% of one months payment ($4,116.66) or ($1,440.83)
all you had to do is 49,400 divided by 12 months and you get $4,116.66 and then you times that by 35% and you get $1,440.83
WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.
Graph
A combination of veggies that costs $17 but does not weigh 10 pounds.
Select all that apply.
Group of answer choices
D. 10 pounds of zucchini and 1 pound of broccoli
B. 4 pounds of zucchini and 6 pounds of broccoli
A. 6 pounds of zucchini, and 4 pounds of broccoli
C. 2 pounds of zucchini and 7 pounds of broccoli
Answer:
okay for the buying vegetables problem. It wants us to write an equation in ST that gives us enough. The amount of pounds of cauliflower Capital C is our first very bold and broccoli bee is our second variable. So Capital C that says Karl Power costs $2 per pound so we can write to see and then broccoli is a dollar 25 per pound. So plus a dollar 25 times being is equal to the total cost that we spent. And the total we spent was $10. Okay, so there's our equation and standard corn. Thank you.
3. What percent of 150 is 15?
unknown:
Known:.
Answer:
Step-by-step explanation:
Find the product and simplify answer -3a^3(7a^4 - 5a + 5)
[tex]-3a^3(7a^4 - 5a + 5)\\\\=-21a^7+15a^4-15a^3[/tex]
write tan(t)/cos(t) in terms of sin(t)
[tex]\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\[/tex]
13 fasteners cost 78 cents find the cost for purchasing 4, 687 fasteners
First divide 4687 by 13 and then multiply the answer by 0.78. The answer would be:
4687÷13= 360.5384615
360.5 × 0.78 = $281.22
How does a plastic fork, whale, hospital and chocolate bar relate with each other?
Answer:
They all include the letter A
Step-by-step explanation:
Translate this sentence into an equation.
76 is the product of Greg's savings and 4.
Use the variable g to represent Greg's savings.
Answer: 76 = 4g
Step-by-step explanation:
76 is the product of Greg's savings and 4 can be represented as 76 = 4g
Hellp! To get points!
Answer:
your answer would be B.
Step-by-step explanation:
for this fraction equation all you need to do is round the 2 up to a 8 putting it at 4/8, round the 4 up to a 8 putting it at 2/8, and keep the 1/8 the same. then add them all together and you would get 7/8
Answer:
b 7/8
Step-by-step explanation:
your gonna change everything to eights
PLEASE HELP!!!! write the equation in slope-intercept form of the line that passes through (6,-11) and is perpendicular to the graph of y=-2/3x+12
Answer:
I believe the equation would be: y=3/2x-20
Step-by-step explanation:
This is true because, first you would need to find the slope from the equation, which is -2/3. But, for perpendicular, you would need to make it the exact opposite (which is this case would leave you with a slope of 3/2)
Ex: if you had -3/4, the slope for one that is perpendicular would be 4/3 (exact opposite)
After finding the slope, you take the points (6,-11) and plug it into the equation "y-y1=m(x-x1)"
y-y1=m(x-x1)
y+11=3/2(x-6)
-distribute the 3/2-
y+11=3/2x-18/2
y+11=3/2x-9
-subtract 11 on both sides-
y=3/2x-20
Im not sure if all calculations are correct, but I hope this helps! :)
[tex]\sf 8x+12-8x+15+15x-22-x[/tex]
Let's get it done !
[tex]8x + 12 - 8x + 15 + 15x - 22 - x[/tex][tex]8x - 8x + 15x - x + 12+ 15 - 22[/tex][tex]14x + 5[/tex]Answered by : " Unknown "
Hurry !!!A typical barrel of bot-oil contains 70 liters of oil. If a hole in the barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.
Answer:
y = -6x + 70
Step-by-step explanation:
Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.
solve pls braniliest
Answer:
Past tense
Step-by-step explanation:
The verb ("made") is in the past tense.
Hope this helps :)
6
(
2
f
+
2
)
+
2
(
3
f
−
3
)
Answer:
18f+6
Step-by-step explanation:
Dalia's family bought 5 adult tickets and 2 student tickets to the school play for $65. Shay's family bought
3 adult tickets and 6 student tickets for $69. How much does each type of ticket cost?
Answer:
Lets say a is adult tickets and s is student tickets. for dalias family its:
5a + 2s = 65
for shay
3a + 6s = 69
-15a -6s = -195
-15a = -195
Step-by-step explanation:
Is this correct? And if it is, what's the solution?
Answer:
No the graph is not correct. The point of intersection is (-3, 4)
Points on line y = x + 7 are (-3, 4) (0, 7) and (2, 9)
Points on line y = -1/3x +3 are (-3, 4) (0, 3) and (-6, 5)
Step-by-step explanation:
y = x + 7 do not change
y = -1/3x + 3 substitute into the top equation and solve for x
-1/3x + 3 = x + 7
-3 = -3
-1/3x = x + 4
- x = -x
-1 1/3x = 4
- 4/3x = 4 Changed -1 1/3x to -4/3x
x = 4/ -4/3
x = -3
y = x + 7
y = -3 + 7
y = 4 Point of intersection is (-3, 4)
HELP!!!
‐6x – 1 = 23
Please do not just post the answer please explain how you got the answer. Whoever explains best gets brainliest!
Answer:
-4
Step-by-step explanation:
23+1=24
24/-6=-4
Which expression can be used to find the surface area of the following triangular prism?
5
5
2.
11
8.
Answer:
214.
Step-by-step explanation:
To get Surface area take
(cross section area) × 2 +(perimeter of crossection area × length)
the cross section area is a triangle
so area of a triangle =1/2 base times height
1/2×8×2=8
let's get perimeter of cross section
the cross section is still at triangle so let's find its perimeter.
5+5+8=18
18×length of which is 11
18×11=198
and 188 + 16=214. that's the answer
maybe you can get a expression from the work that I've just done cuz I can't see the answers clearly in the picture you have taken.if you don't mind just send the picture back then I'll get the answer.
Write the percent as a fraction or mixed number in simplest form.
72.5%
Please show your work. Thank you!
Answer:
[tex]\frac{29}{40}[/tex]
72.5% As a Fraction
= [tex]\frac{0.725*1000}{1*1000}[/tex]
=[tex]\frac{725}{1000}[/tex]
=[tex]\frac{725/25}{1000/25}[/tex]
=[tex]\frac{29}{40}[/tex]
:) I hope this helped you
Answer: As a fraction it is 145/2 and as a mixed number it is 72 1/2
Step-by-step explanation:
First write down the number like this, 72.5/1
Then multiply each number by ten like this, 72.5 x 10 = 725
And 1 x 10 = 10 and write that as a fraction like this, 725/10
Next do 725 divided by 5 = 145 and 10 divided by 5 = 2
And put that in a fraction like this 145/2
That is the fraction of 72.5%
As a mixed number you put the 72 as a whole number and 1/2 because 5 represents a half
I hope this is helpful
What is 1/3 of 9/5 please help.
On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).
Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?
(–6.5, ∞)
(–5, ∞)
(–∞, –5)
(–∞, –6.5)
Answer:
The top oneStep-by-step explanation:
Hope it helps[tex]\huge \dag \sf{Answer \: it}[/tex]
[tex]solve \: for \: x \\ \\ {2}^{ {x}^{2} } 2 \frac{3x \sqrt{3} }{2} = 8 [/tex]
Don't spam and Don't copy.
Need answer with explanation
Don't answer if you don't know
Best of luck guys
Answer:
Answer: x = √3 and 8/(3√3)
Step-by-step explanation:
[tex]{ \rm{({2}^{ {x}^{2} } )(2 \frac{3x \sqrt{3} }{2}) = 8}}[/tex]
• For the first bracket:
[tex]{ \rm{ {2}^{ {x}^{2} } = 8}} \\ \\ { \rm{ {2}^{ {x}^{2} } = {2}^{3} }} \\ \\ { \rm{ {x}^{2} = 3}} \\ \\ { \rm{x = \pm \sqrt{3} }}[/tex]
• For the second bracket;
[tex]{ \rm{ 2 \frac{3x \sqrt{3} }{2} = 8}} \\ \\ { \rm{3x \sqrt{3} = 8 }} \\ \\ { \rm{3x = \frac{8}{ \sqrt{3} } }} \\ \\ { \rm{x = \frac{8}{3 \sqrt{3} } }}[/tex]
