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 115° between the golfer and the hole, what is the angle that the golfer has between the spectator and the hole?

hole?

25.6°
39.4°
64.3°
65.0°

In A Tournament, A Professional Golfer Knows That She Is 200 Yards From The Hole. A Spectator Is Watching

Answers

Answer 1

Using the law of sines, it is found that the angle that the golfer has between the spectator and the hole is of 25.6º.

What is the law of sines?

Suppose we have a triangle in which:

The length of the side opposite to angle A is a.The length of the side opposite to angle B is b.The length of the side opposite to angle C is c.

The lenghts and the sine of the angles are related as follows:

[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]

Hence, in this problem, we have that:

[tex]\frac{\sin{115^\circ}}{200} = \frac{sin{x}}{140}[/tex]

[tex]sin{x} = \frac{140\sin{115^\circ}}{200}[/tex]

[tex]x = \arcsin{0.6344}[/tex]

x = 39.4º.

Considering that the sum of the internal angles of the triangle is of 180º, the angle that the golfer has between the spectator and the hole is given by:

A = 180 - (115 + 39.4) = 25.6º.

More can be learned about the law of sines at https://brainly.com/question/27174058

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Answer 2

Answer:

25.6

Step-by-step explanation:

I got it right


Related Questions

The following table shows Lane and Rory's scores on the first 5 math quizzes this semester. How many points higher is Rory's average than Lane's average?

Answers

Answer:

0

Step-by-step explanation:

Because Rory's higher average and Lane's higher average is 96 in Quiz 3.

96-96=0

the smallest 3 digits even number formed form 5,6,3 is ​

Answers

Answer:

3,5,6

Step-by-step explanation:

because 300 divided by 2 is 150

50 divided by 2 is 25

and 6 divided by 2 is 3

Solve for x. x+12−−−−−√=x√+2

Answers

~equality

x + 12 = x√+2

= x + 12 = √2 x

= x = √2 x - 12

= x - √2 x = -12

= (1 - √2)x = -12

= x = -12/1- √2

= x = -(-12(1 + √2))

= x = -(-12 - 12√12)

= x = 12 + 122 ✔️

~ nice to help you ^^

Multiply (3x+2)(x-6)

What is the middle term of the simplified answer?

Answers

Answer:

16x

Step-by-step explanation:

(3x + 2) (x - 6)

Multiply 3x by x and -6

3x^2 - 18x

Multiply 2 by x and -6

2x - 12

Combine like terms

3x^2 - 16x - 12

The middle term is 16x

A moving company charges $450 plus $12 per hour. Another moving company charges $21 per hour. How long is the job that costs the same no matter which moving company is used?

Answers

Answer:

50 hours

Step-by-step explanation:

Rewrite 2/9+5/12 with a common denominator.

Answers

Step-by-step explanation:

direct add the upper both numerator and bottom both denominator ,Then you will get the answer,Then reduce it to lowest form

sorry for bad english

edit:Wrong answer

2/9 + 5/12

LCM = 36

=》2/9 = 2×4/9×4 = 8/36

=》5/12 = 5×3/12×3 = 15/36

2/9 + 5/12

= 8/36 + 15/36 (LCM = 36)

= 23/36 -----> 2/9 + 5/12 with a common denominator.

________

Hope it helps ⚜

Carl is planting an herb garden. If his garden has 3 rows and he can plant 3 herbs in a row, how many herbs can he grow?

Answers

9 herbs (3 rows times 3 herbs/row = 9 herbs)

Answer:

He can grow 9 herbs.

Step-by-step explanation:

3rows x 3plant herbs per row = 9 herbs to grow

Hope this helps :)

Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days’ worth of seed Gracy has left?

Answers

Answer:

The last one is correct.

Step-by-step explanation:

[] Rewrite 4/5 as 8/10

[] 8/10 / 3/10 = 8/10 * 10/3 = 80/30 = 2 2/3 days

Have a nice day! - This is only correct if your models look like the ones I have attached

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Solve for x.
100°
(2x+3)
51°

Answers

Answer:

23

Step-by-step explanation:

Exterior angle property: Exterior angle equals sum of opposite interior angles

51 + 2x +3 = 100

2x + 54 = 100

       2x = 100 - 54

      2x = 46

        x = 46/2

       x = 23

Solve the problem below by finding a common denominator.

5/6+1/8

Answers

Answer:

5/6+1/8 = 23/24

Step-by-step explanation:

The lowest common denominator here is the smallest denominator that can be divided evenly by both 6 and 8.  It is 24.  Note that 6 = 2·3 and that 8 = 2·2².  We use the factors 2³ and 3 to come up with the LCD 24.

Then 5/6 + 1/8 can be rewritten with this LCD as:

20/24 + 3/24 = 23/24

5/6+1/8 = 23/24

How much wax is needed to make one spherical candle?

Answers

About 100g of wax is needed

Answer:

In this example, you would need at least 7.9 pounds of wax to fill (25) 8 oz Candle Tins. It is a good idea to round up this number. It's always better to have a little wax left over than to not have enough!

Step-by-step explanation:

evaluate the expression 5+3​

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

5 + 3 = 8

-Lexi

Christa sells bracelets during the summer months to earn some extra money. She
made this pictograph to represent her sales for last summer.
Bracelets Sold
June
July
August
=4 bracelets
How many bracelets did Christa sell in June and July?
8
32
12
40

Answers

Answer:

32 bracelets

Step-by-step explanation:

First multiply each bracelet by 4 to get the correct amount:

3x4=12

4x5=20

Then, add the two.

12+20=32

The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?

Answers

Answer:

2020

Step-by-step explanation:

if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023

it is the number in the middle.

for the first 3 numbers, it is 2019, 2020, 2021

the middle number is 2020

The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.

What is mean?

The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Let's say the first integer is x.

Then, next terms will be x + 1, x + 2, x + 3, x + 4.

It is known that,

Mean = sum of data / Number of data

(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021

(5x + 10)/5 = 2021

x + 2 = 2021

x = 2019

Now, first, three consecutive integers will be,

2019,2020 and 2021

The mean of the above integers will be,

(2019 + 2020 + 2021)/3 = 2020

Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".

For more about the mean,

https://brainly.com/question/17060266

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148 oz = ________ lb _______ oz
Explain yourself

Answers

9lb 25oz

To obtain the mass in pounds divide the ounces by 16. The formula is: [lb] = [148] / 16.

Thus, rounded you get: 148 oz = 9.25 pounds. Now the numbers after the decimal point is oz.
Hope I helped


You're looking over your child's math homework. The directions say to
simplify the expression below. What feedback would you give your child?
Make sure to include if their answer is correct or not (1 pt) and a
description of why (1 pt). *
6x + 5x + 2y
= 11x + 2y
= 13xy
=
Your answer

Answers

Hello, hope you are having a nice day.

This answer is not correct, because we can't add different variables. For instance, if we have 11x+2y, we can't add x's and y's together.

Therefore, the correct answer would be

11x+2y

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others with joy

[tex]MagicalNature[/tex]

Good luck.

Answer:

Step-by-step explanation:

The first step is the answer, so you would have gotten 100% if you just left the question there. The next step, the second step, is quite right.

If it was, then why didn't you do that in the first step?

Think of all the possibilities

60xy

10xy

12xy

10xy + 5y

12xy + 5x

There must be many more.

And yet dear one, you have only made 1 mistake. You combined xs and ys in step 2. Here's the rule.

Don't. If they were added, let them stay added. xs go with other xs. ys go with other ys. They never go together when they are added.

Which equation shows y=3x−15 in standard form?

5x−15y=−1

5x−15y=1

15x+5y=−1

15x−5y=1

Answers

Answer:

c  5x -15y =1

5x-15y=1

-5x -15y= 1 -5x     change the signs on both sides of the equation

    15y = -1 +5x      divide both sides by 15

        y = -1/15 + 1/3 x    Reorder the terms

        y = 3x-15

Step-by-step explanation:

Hope this helps:)

Please Answer This, with A, B, C, or D. and explain why it is so i can try and understand it. :D

Answers

Answer:

b

Step-by-step explanation:

first u have to put the like terms together which are 7p and 19p when u move the 19p th 7p it turns to minus su have to minus 7p-19p which equals to -12 check if there is more like terms there arent so u have to keep the rest the same

Answer:

B. (5q - 12) / 12

Step-by-step explanation:

7p + 5q = 19p + 12

So, we are looking for p, let's move all the p on the left, and the rest on the right

7p + 5q = 19p + 12

7p - 19p = 12 - 5q

-12p = 12 - 5q

Now to get single p we need to divide both sides by -12

-12p = 12 - 5q

p = [tex]\frac{12 - 5q}{-12}[/tex]

We don't have answer like this, so we have to get rid of the minus from this equation. To do so, we have to multiply the fraction's top and bottom by (-1)

[tex]\frac{12 - 5q}{-12} * \frac{-1}{-1} = \frac{- 12 + 5q}{12}[/tex]

all right, we almost got it, now let's change the order in top of the fraction:

p = [tex]\frac{- 12 + 5q}{12}[/tex]

p = [tex]\frac{5q - 12}{12}[/tex]

And it's done

Henry was granted a loan of £96.00. The interest rate was 24% per annum. Calculate the interest at the end of the year​

Answers

Answer:

110.00

Step-by-step explanation:

Write money amounts using a leading zero if necessary & with 2 decimal places (For example: 0.80 or 0.72 or 1.23)

630 miles in 10 hours

miles per hour

donut hole per kid

24 donut holes for 8 kids

$

$3.50 for 5 lbs. of apples

$32 for a 14 2/9 km taxi ride.

per pound

per km

$

Answers

9514 1404 393

Answer:

63 mph3 donut holes per kid$0.70 per pound$2.25 per km

Step-by-step explanation:

In this context, "per" and "for" mean "divided by."

630 mi/(10 h) = 63 mi/h(24 dh)/(8 kid) = 3 dh/kid$3.50/(5 lb) = $0.70 /lb$32/(14 2/9 km) = $32/(128/9 km) = $(9/4)/km = $2.25 /km

Use proportional reasoning to solve problems involving ratios. (Activity Sheet #4 & 5)

The size of a television is the length of the diagonal of its screen in inches. The

aspect ratio of the screens of older televisions is 4:3, while the aspect ratio of

newer wide-screen televisions is 16:9. Find the width and height of an older 20-

inch television whose screen has an aspect ratio of 4:3. Show all work to receive

credit.

Answers

Answer:

Step-by-step explanation:

(3x)² + (4x)² = 20²

9x² + 16x² = 400

25x² = 400

x² = 16

x = 4

height = 3(4) = 12 inches

width = 4(4) = 16 inches

Sandy planted a tree and wanted to record its growth. The graph shows growth of the
tree over time.
1
The equation for the tree's growth is y =
+ 20.
2x
Select the meaning of the slope and y-intercept from the drop-down menus.

Answers

The given equation of the height of the tree is the equation of a straight line.

The slope is the number of units of growth each time period.The y-intercept is the initial height of the tree.

Reasons:

1. The equation of the tree's growth is presented as follows;

y = 20 + 2·x

The equation of the tree is in the form of the equation of a straight line,

which is, y = m·x + c

Where, by comparison, we have;

m = The slope = 2

c = The y-intercept = 20

y = The height of the tree

x = The time of measurement of the growth of the tree

Therefore;

The slope = The height to which the tree grows within each time period.

Therefore, the tree grows by 2 units of the height each time period of measurement

The y-intercept = The height of the tree at the start of the measurement.

Therefore, the tree was 20 units of the length measurement at the start of the record.

Learn more about the equation of a straight line here:

https://brainly.com/question/20898425

Answer:

Step-by-step explanation:

First Box: In the scenario, the slope represents

the growth rate of the tree per year.

Second Box: In the scenario, the y-intercept represents

the tree's initial height.

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 240 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 320mg of caffeine daily? ​

Answers

The confidence interval is between (48.2%, 57.7%)

Using the proportion formula expressed as:

[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

Get the proportion:

p = 320/600 = 0.53

[tex]z=\frac{x- \mu}{\sigma}[/tex]

[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]

Substitute into the formula to get the confidence interval to have:

[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]

Hence the confidence interval is between (48.2%, 57.7%)

Learn more on  confidence interval here: https://brainly.com/question/20066592

7.
Identify the vertex of the parabola.



A. (1, 2)

B. (−2, −1)

C. (−1, −2)

D. (−3, 2)

Answers

Answer: I can't find the answer :(

B. (−2, −1)

Step-by-step explanation: I don't know :(

From when I am looking at the graph it looks like the answer would be

P= (-2, -1)

Q= (1, -2)

Suppose Steve changed $250 into 200 Euros. How many Euros did he receive per US dollar?

Answers

Answer:

0.8 Euros

Step-by-step explanation:

Per US Dollar means its a proportion that the question is asking for. So, you can do 200/250 and get the answer.

express 7 minutes, 30 seconds as a percentage of 1 hour​

Answers

Answer:

did u mean 7 minutes & 30 seconds or

do you need seperate percentage for each ???

Answer:

420 i think

Step-by-step explanation:

7 mins

7×60

=420

plus the 30sec

450 sec

450/3600×100

45000/3600

450/36

12.5

Simplify 10 over 13

Answers

Answer:

10/13

Step-by-step explanation:

It's already simplified luv

Please helpppp me step my step all the wayyy Carla and Diane Bought identical suit cases at a different stores. Carla’s suitcase originally cost $75 and was discounted 15% Daniels suitcase originally cost 85$ and was on sale for 20% off the original price which suitcase was a the better deal? What do we know ? List important facts ? What do we want to find out ?? Solve ??? Show ur work? Explain starts ur Asnwer and give details ? And justify your steps ?

Answers

Answer: Carla's suitcase was a better purchase.

Step-by-step explanation: Solution:

Cost Price of Carla's suitcase = $75

Discount% for Carla = 19%

The amount paid by Carla is,

So, the amount paid by Carla was, $60.75.

Cost Price of Jeana's suitcase = $85

Discount% for Jeana = 20%

The amount paid by Jeana is,

So, the amount paid by Jeana was, $68.

Carla's suitcase was a better purchase.

For carlas suitcase I got 63.75 not 60.75

Compute the integral Z Z Z U y dV , where U is the part of the ball of radius 2, centered at (0, 0, 0), that lies in the 1st octant. Recall that the first octant is the part of the 3d space where all three coordinates x, y, z are nonnegative. (Hint: You may use cylindrical or spherical coordinates for this computation, but note that the computation with cylindrical coordinates will involve a trigonometric substitution - so spherical cooridnates should be preferable.)

Answers

As the hint suggests, convert to spherical coordinates using

x = p cos(u) sin(v)

y = p sin(u) sin(v)

z = p cos(v)

dV = dx dy dz = p² sin(v) dp du dv

Then U is the set

[tex]U = \left\{ (p,u,v) \mid 0\le p\le2 \text{ and } 0\le u\le \dfrac{\pi}2 \text{ and } 0\le v\le\dfrac{\pi}2\right\}[/tex]

and the integral of y over U is

[tex]\displaystyle \iiint_U y \, dV = \iiint_U p\sin(u)\sin(v) \cdot p^2 \sin(v) \, dV[/tex]

[tex]\displaystyle \iiint_U y \, dV = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \int_0^2 p^3 \sin(u) \sin^2(v) \, dp \, du \, dv [/tex]

[tex] \displaystyle \iiint_U y \, dV = \frac{2^4-0^4}4 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sin(u) \sin^2(v) \, du \, dv [/tex]

[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \left(-\cos\left(\frac\pi2\right) + \cos(0)\right) \int_0^{\frac\pi2} \sin^2(v) \, dv [/tex]

[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \frac12 \int_0^{\frac\pi2} (1-\cos(2v)) \, dv [/tex]

[tex]\displaystyle \iiint_U y \, dV = 2 \left(\left(\frac\pi2 - \frac12 \sin\left(2\cdot\frac\pi2\right)\right) - \left(0 - \frac12 \sin\left(2\cdot0\right)\right) \right)[/tex]

[tex]\displaystyle \iiint_U y \, dV = \pi - \sin(\pi) = \boxed{\pi}[/tex]

can someone give me the answer to this please!​

Answers

Answer:

f hnjkhufqeyuwegbwegnasdgjbbhdfu8isbhwsduihjjrwhiwerhugwhj4g4wyug4huwreuywefgkofjfu9qhfu8mfnfnjrfnfjqwejknuiaefhbuqwiefjjjhjjjj

Step-by-step explanation:

fgjnwehgbwhgbge

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