The tee for the fifth hole on a golf course is 355 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.

Answer:

3x^2 +x -3

Step-by-step explanation:

f(x)= 3 and g(x) = 3x^2+x-6

f+g (x) =  3+  3x^2+x-6

Combine like terms

          = 3x^2 +x -3

Answer:

Step-by-step explanation:

To find the side adjacent to the 50° angle we use tan

[tex] \tan( \alpha ) = \frac{opposite}{adjacent} [/tex]

From the question

The opposite is 6m

The adjacent is ?

So we have

[tex] \tan(50) = \frac{6}{?} [/tex]

[tex]? \tan(50) = 6[/tex]

[tex]? = 6 \times \frac{1}{ \tan(50) } [/tex]

But

[tex] \frac{1}{ \tan(x) } = \cot(x) [/tex]

So we have

[tex] \frac{1}{ \tan(50) } = \cot(50) [/tex]

Substitute it into the expression

That's

We have the final answer as

[tex]? = 6 \cot(50) [/tex]

Hope this helps you

=====================================================

Explanation:

We're given an opposite side and an adjacent side. The tangent rule ties these two sides together. "tangent" is nowhere to be found in any of the answer choices, but cotangent is. Recall that

cot = 1/tan

which means

tan = opposite/adjacent

cot = adjacent/opposite

one is the reciprocal of the other

-----------

This means

cot(angle) = adjacent/opposite

cot(50) = x/6

6*cot(50) = x

x = 6*cot(50)

Answer:

1/2 mile

Step-by-step explanation:

(1/8)*4 = 1/2 mile

Answer:

4/8 or 1/2

Step-by-step explanation:

becuase 4 times 1/8 is 4/8 which is 1/2

Answer:

78 inches or 174 inches (see explanation)

Step-by-step explanation:

If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!

Answer:

False

Step-by-step explanation:

So, in Mathematics we use more precise language: When the order doesn't matter, it is a Combination. When the order does matter it is a Permutation.

Answer:

a.ans=(1,3)

b.ans=(1,2,3,4,5,6,7,9,11,12)

c.ans=(1,3,5,7,9,11)

Step-by-step explanation:

Between A and C (1,3) are common.So it is the intersection.

(1,2,3,4,5,6,7,9,11,12) are all the number belongs to set A and set C.So it is called the union of both sets.

C denotes the complement and the number except set b belong to the complement.

Answer:

2x+X=450

3x=450

X=450/3

X=150

so

2x=2*150=300

X=150

so, Jane addressed 300 envelopes while Louis addressed only 150

Answer:

Jane addressed 300 envelopes while Louis addressed 150

Step-by-step explanation: Let x represent Louis's amount and 2x is Jane's amount

x+2x= 450 combine 3x =450

Divide both sides by 3.

x/3 = 450/3 x= 150. 2x = 300

You need to see if it passes the vertical line test, then graph it to see if it is but is a function tho.

Answer:

See below.

Step-by-step explanation:

Horizontal lines have the equation:

[tex]y=n[/tex]

Where n is the value the horizontal line stays on.

Vertical lines have the equation:

[tex]x=n[/tex]

Where n is the value the vertical line stays on.

For the two north-south lines, one of them stays on -5 and the other stays on 8. Therefore, the two vertical line equations are:

[tex]x=-5 \text{ and } x=8[/tex]

For the two east-west lines, one of them stays on -7 and the other stays on 4.

Therefore, the two horizontal line equations are:

[tex]y=-7 \text{ and } y=4[/tex]

Answer:

approximately 5.36

Step-by-step explanation

20 - 9.28 = 10.72

BD = EC

10.72/2 = 5.36

Answer:

C. 567yd^3

Step-by-step explanation:

To find the volume of the right triangular prism, it is: 1/2a c h.

In this case, 1/2✖️9✖️6✖️21=567yd^3

So this means that option C is the correct answer.

Hope this helps!

Have a nice day:)

Answer:

567 cu. yard

Step-by-step explanation:

will make it simple and short.

Vol = area of a triangle x length

Vol = (1/2 * 6 * 9 ) * 21

Vol = 567 cu. yard

Answer:

A

Step-by-step explanation:

From the graph we can notice that the coordinates of the poinrs x and y are:

● x(-2,0)

● y(3,-2)

There are many methods to find the distance between x and y. We will use the distance formula.

Let d be the distance between x and y.

● d = √[(-2-3)^2 + (0-(-2))^2]

● d = √[(-5)^2 + 2^2]

● d = √(25+ 4)

● d = √(29)

The other method was using the pythagorian theorem. d is the hypotenus.

Answer:

The 8 pack is the better deal.

Step-by-step explanation:

To get the answer you do the following:

Find the price of one pack for each;

1/12*5= $0.42( cost of one pack for the 12 pack part)

1/8*3= $0.38( cost of one pack for the 8 pack part)

The answer is that the 8 pack is cheaper .

Answer:

width = 10

length = 2 (10) + 7 = 27

Step 1:

If the perimeter was 74 inches, then that means one side of the width and one side of the length added together is 1/2 of 74, which is 37.

Step 2:

We can solve this by using this equation:

2w + 7 + w = 37

Then, we subtract 7 from both sides, since in the passage, it states that the length is 7 more than twice the width.

2w + w = 30

Add the w's together:

3w = 30

And then divide both sides by 3 to get:

w = 10

Step 3:

Now, we can plug in w into our equation to solve for the width and length.

width = 10

length = 2 (10) + 7 = 27

_____2w+7_____

|                             |  w

--------------------------

Answer:

You started at ( -3,5)

Step-by-step explanation:

You end at (4,5)

You got there by moving right 9 units so move left 9 units

Moving left is subtraction in the x direction

(4-9,5)

( -5,5)

Then move left 2 units so move right 2 units which is adding 2 in the x direction

( -5+2, 5)

( -3,5)

You started at ( -3,5)

Answer:

BCDE= 100+ 80+100+80 = 360 degree

BAC = 20 degree

DBC = 100 degree

BDE = 80 degree

Shows all is correct

We associate isosceles trapezoid in this question, this helps us prove with angle A in the triangle vertices how we can find one of the adjacent angles from the trapezoid by subtraction when all angles within one single trapezoid = 360 degrees. We can use 20 degree angle A to subtract and find each alternative angle easier.

Step-by-step explanation:

The semi circle shows 9 stones

Where angles are interior to the trapezoid

Where all 4 sided shapes add up to 360 degree

We draw a line of symmetry on BCED angle

To make midway points BC  and DE = 90 degree

The two new formed shapes are still 4 sided and add up to 360 degree.

BC + DE = 180 degree

BDE = Triangle 180 -20/2 = 160/2 = 80

BCDE = Trapezoid = 360

Trapezoid angle DBC = 360-80-80/2 = 360-160/2 = 200/2 = 100 degree  

Finding interior angle A (BAC)

BAC = 180/9 = 20 degree

BAC * (2) = 360 degree circle

BAC = 360/18 = 20 degree

Proves BAC = 20 degree

20 degree is used in BAC workings above in bold and proves all trapezoid angles are correct. We now know this is an isosceles trapezoid and that is why symmetry and midway points can help us find the angles without any given length.

Divide total amount used by the amount in the rate:

27,000 / 750 = 36

Multiply that number by the rate:

36 x 1.98 = 71.28

The bill is $71.28

Answer:

Perimeter of the shaded region= 22/7cm

Area = 36.48 cm²

Step-by-step explanation:

First of all for the perimeter.

The radius of the arc is 8cm

At an angle of 90°

Perimeter of of the shape is perimeter of the the 2 arc

The both arc are equal so let's determine the perimeter of one first.

Perimeter of the arc= 2πr*(90/360)

Perimeter of the arc= 2*22/7*1/4

Perimeter of the arc= 11/7 cm

Perimeter of the shades region= 2*11/7

Perimeter of the shaded region= 22/7cm

Area of the sector = πr²*(90/360)

Area of the sector= 50.24cm²

Area of non sector= 64-50.24

= 13.76

But non sector is two

Area of non sector= 2*13.76

= 27.52

Area of the shaded region = area of the square -(area of non sector)

= 64-27.52

= 36.48 cm²

Answer: The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given, T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was  released.

The average rate of change in a function with respect to the independent variable gives the value of change in a particular period.

If average rate of change in T(d) for the interval d = 4 and d = 10 is  is 0 , that means nothing has been changed in the number of tickets sold on 4th day and 10th day after the film release.

Hence, the correct statement is "The same number of tickets was sold on the fourth day and tenth day."

The correct option is (A).The same number of tickets was sold on the fourth day and tenth day.

Given,

T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.

The Average rate of change in T(d) for the interval  d = 4 and d = 10 is 0.

We have to find which statement is true.

Since the average rate of change in T(d) for the interval d = 4 and d = 10 is 0, it means nothing has been changed in the number of tickets sold on day 4 and day 10 after the film release.

Hence, the correct statement is The same number of tickets was sold on the fourth day and tenth day.

Thus The correct option is A.

For more details follow the link:

https://brainly.com/question/8011401

Answer:

y<-8

Step-by-step explanation:

y<-1 - 7

y<-8

Answer:

y < -8

Step-by-step explanation:

To solve an inequality, we must get the variable, y, isolated on one side of the inequality.

[tex]y+7 < -1[/tex]

7 is being added to the variable, y. The inverse of addition is subtraction. Subtract 7 from both sides of the inequality.

[tex]y+7-7< -1-7[/tex]

[tex]y < -1-7[/tex]

[tex]y < -8[/tex]

The solution to the inequality is: y< -8

Answer:

The domain of fx is x>5

The domain of gx is x>5

The statements could he include in his explanation are

a. The domain of fx is x>5.

b. The domain of gx is x>5.

A function is defined as a relationship between a set of inputs and a single output. A function is an input-output relationship in which each input corresponds to exactly one output.

A function is a sort of rule that generates a single output for a single input. The image was given by Alex Federspiel. A good example is y=x2. You will only get one output for y if you enter anything for x. We can say that y is a function of x because x represents the input value.

Both functions are real numbers, so, f(x) is x > 5 and g(x) is x > 5 will be correct.

Therefore, the correct options are, a. The domain of fx is x>5 and b. The domain of gx is x>5.

To learn more about the function, refer to the link:

https://brainly.com/question/28269290

#SPJ2

Answer:

$4661.77

Step-by-step explanation:

100 + 4.7 = 104.7%

104.7% = 1.047

$2340.73 x 1.047^15 = $4661.77

Answer:

Kindly see explanation

Step-by-step explanation:

Given the following :

Amount of water in cooler = 144 ounces

Size of Will's water bottle = 16 ounces

Therefore, the amount of water left after filling his water bottle :

144 ounces - 16 ounces = 128 ounces of water.

The 128 ounces left was used to equally fill 16 plastic cups :

Therefore the number of ounces of water put in each cup equals :

(128 ounces ÷ 16 cups) = 8 ounces.

The maximum number of ounces of water will could have put in each cup is 8 ounces

Thus (0 < x ≤ 8)

See graph below

Answer:

$17

Step-by-step explanation:

If each ticket is $7 and there are 48 student multiply 7 and 48 to see how much the tickets were in total (336)

Now subtract 353 and 336 to see how much money is left (17)

Answer: -17?

Step-by-step explanation:

because 7*48= 336

then you would do 336-353= -17

which gave me the answer of -17

Answer:

  25%

Step-by-step explanation:

The ratio of rise to run is ...

  rise/run = 6 ft/24 ft = 1/4

Expressed as a percentage, this is ...

  1/4 × 100% = 25%

_____

Comment on this grade

Interstate highways are limited to a 7% grade. Most local jurisdictions limit the grade of a road to somewhere between 12% and 15%.

C)

Because if you choose some points for example x = 0 and x = 3.14 (≈ pi)

you will see that there's only one match.

Answer:

Option C. y = cos x -2

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

−31−4x=−5−5(1+5x)

First step is to simplify both sides

−31−4x=−5−5(1+5x)

−31+−4x=−5+(−5)(1)+(−5)(5x)

distribute

−31+−4x=−5+−5+−25x

−4x−31=(−25x)+(−5+−5)

and combine like terms

−4x−31=−25x+−10

−4x−31=−25x−10

Then add 25x to both sides

−4x−31+25x=−25x−10+25x

21x−31=−10

Add 31 to both sides

21x−31+31=−10+31

21x=21

And divide by 21!

21x/21 = 21/21

x=1

Answer:

X=1

Step-by-step explanation:

First this is you want to distribute the -5 to the 1 and 5x. Now you should have -31-4x=-5-5-25x. Next thing is to combine your like terms which would be -5 and -5 and you get -10. (-31-4x=-10-25x) Now add 31 to both sides and your new solution is -4x=21-25x. This time you add 25x to both sides and get 21x=21. Final step you divide both sides by 21 and get X=1. :)