3) A private golf course offers cart rentals for $22 and a round of golf at $1.35 per hole for non-members. After purchasing a box of golf balls at $14.95 and a bottle of Gatorade for $3.25, your total cost was $64.50. How many holes of golf were you able to complete?​

Answer:

[tex]\sqrt{253}[/tex]

Step-by-step explanation:

The question asks to use the Pythagorean Theorem...

which is [tex]a^{2} + b^2 = c^2[/tex]

1. Note that c is always the hypotnuse (the longest side of the triangle)

2. Note that a and b represent both legs of the triangle

3. Find b using pythagorean theorem (x = b)

[tex]6^2 + b^2 = 17^2\\36 + b^2 = 289\\b^2 = 253\\b=\sqrt{253} \\[/tex]

Since b is the missing side x, then [tex]x = \sqrt{253}[/tex]

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Area of given figure = 197.48 mi² (Approx.)

Step-by-step explanation:

Note;

Divide given figure into a semi-circle, rectangle, and square

Given:

Radius = 8 mi

Length of rectangle = 11 mi

Width of rectangle = 8 mi

Side of square = 3 mi

Find:

Area of given figure

Computation:

Area of given figure = Area of semi-circle + Area of rectangle + Area of square

Area of given figure = (π/2)(r²) + [L x B] + Side²

Area of given figure = (3.14/2)(8²) + [11 x 8] + 3²

Area of given figure = (1.57)(64) + [88] + 9

Area of given figure = 100.48 + [88] + 9

Area of given figure = 197.48 mi² (Approx.)

Answer:

there is a 36% percent chance

Step-by-step explanation:

28/76 = 36/100 to get the probability.

Answer: 7/19

Step-by-step explanation: You must realize that 28/76 is the probability of randomly selecting a rock CD out of his Cd collection since 28 of the 76 are rock. However, the question asks you to simplify this fraction. Both the numerator and the denominator are divisible by 4, so the simplified answer is a 7/19 probability.

Solution:

Let (1,8)=(x1,y1)

(-1,-2)=(x2,y2)

D=?

Now,

D=

[tex] \sqrt{(x2 - x1) ^{2} + (y2 - y1)} ^{2} [/tex]

or, D=

[tex] \sqrt{( -1 - 1) ^{2} + ( - 2 - 8) ^{2} } [/tex]

[tex] \sqrt{( -2) ^{2} + ( - 10) ^{2} } [/tex]

[tex] \sqrt{4 + 100 } [/tex]

[tex] \sqrt{104} [/tex]

2[tex] \sqrt{26} [/tex]

The length of y in the triangle is 18.55 units.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees. The side y of the triangle can be found using sine law.

Therefore,

a / sin A = b / sin B = c / sin C

Applying the sine law,

y / sin 106 = 15 / sin 51

cross multiply

y sin 51° = 15 sin 106°

divide both sides by sin 51°

y sin 51° / sin 51° = 15 sin 106° / sin 51°

y = 15 sin 106° / sin 51°

Therefore,

y = 15 × 0.96126169593 / 0.77714596145

y = 14.4189254391 / 0.77714596145

y = 18.5536589719

Hence,

y = 18.55 units

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The angle of elevation from the person to the birds nest is 29^o.

When an object is observed at an angle above the horizontal plane, the angle formed with the horizontal plane with the line of observation is called an angled of elevation. It is measured in degree by a clinometer.

From a sketch of the narration in the given question, we apply the appropriate trigonometric function since the triangle is a right angled triangle.

So, to determine the measure of the required angle of elevation of the bird's nest, we have;

Tan θ = opposite/ adjacent

Tan θ = 10/18

         = 0.5556

θ = Tan^-1 0.5556

  = 29.05

θ = 29^o

Thus, the angle of elevation from the person to the bird's nest is 29^o.

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Answer:

V≈1150.35cm³

Step-by-step explanation:

Using the formulas

V=4 /3πr3

d=2r

Solving for V

V=1/ 6πd^3=1/ 6·π·13^3≈1150.34651cm³

Total amount paid by Donna is $16,689.6 and interest paid is $789.6.

The cash up front paid by the buyer in real estate transactions and other significant purchases is known as a down payment on a house. For a property being used as a primary residence, down payments, which are typically a percentage of the purchase price, can range from as little as 3% to as much as 20%.

According to question:

Given,

Price of car= $15,900

Down Payment=$4800

number of months=12 x 4=48 month

Monthly payment=$245.70

Total amount Donna paid = Down payment+ all monthly installment

Total amount = $4800+ 48 x 247.70 =$16,689.6

Interest Paid = $16,689.6 - $15,900 = $789.6

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The unknown angle of the triangle is as follows:

∠BCE =  65 degrees

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the angle ∠BCE can be found as follows:

∠BAC = 70 degrees

∠ABC = 60 degrees

∠ACB = 180 - 70 - 60

∠ACB = 180 - 130

∠ACB = 50 degrees

Hence, using exterior angle theorem,

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

∠BCD = 60 + 70 = 130 degrees

Hence,

∠BCE = 130 / 2 = 65 degrees

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shue isvsye jrue si buabs ikwgeh oshe

Answer:

62.5

Step-by-step explanation:

You would take 62.5% and 45, using long multiplication to get .625

You would then multiply .625 and 100, getting 62.5

Answer:

20, 11

Step-by-step explanation:

x=first Number

x-9=second number

above two added together=31 or

x+(x-9)=31

2x=40

x=20 first number

x-9=second number

20-9=11 second number

20 (first number) + 11 (second number)=31

31=31

Answer:

Total cost for team: $1285.05

Step-by-step explanation:

45.95 + 23.95 + 28.95 = 98.85

98.85 * 13 = 1285.05

Answer:

3:15 p.m.

Step-by-step explanation:

45 minutes past 2:30 p.m. is 3:15 p.m.

2:30 p.m. to 3:00 p.m. is 30 minutes

3:00 p.m. to 3:15 p.m. is 15 minutes

30+15 = 45 minutes

Answer:

She will be at cheerleading practice at 3:15 pm?

Step-by-step explanation:

Fake college smh

The answer to this is A. I hope this helps

a) Probability of student passed in English and Accounting [tex]= \frac{21}{50}[/tex]

b)  Probability of  Number of Student passed Accounting [tex]=\frac{3}{5}[/tex]

c)  Given that student passed Accounting. Probability that they passed English = [tex]\frac{9}{125}[/tex]

The ratio of favorable outcomes to all possible outcomes of an event is known as the probability.

Here let us assume the Total Number of students is 100.

Students who passes in English = 60% of total number of students  

                                                   =  [tex]60*100/100=60[/tex]

Students who passes in English = 60.

Out of 60 students , 70% of 60 pass in Accounting = [tex]70/100*60=42[/tex]

So Student who passed in both English and Accounting = 42.

Also Number of student that do not passed in English = 100 - 60 = 40.

Out of these 40 students , 45% passes in Accounting = [tex]45/100*40=18[/tex]

So Number of student pass in Accounting but not in English = 18.

Total Number of student pass in Accounting = 42 + 18 = 60.

A) Number of student passed in English and Accounting = 42

   Total Number of student = 100

   Probability of student passed in English and Accounting= [tex]\frac{42}{100} = \frac{21}{50}[/tex]

B) Total Number of Student passed Accounting = 60

    Total Number of student = 100

    Probability of  Number of Student passed Accounting = [tex]\frac{60}{100} = \frac{3}{5}[/tex]

C) Probability that student passed Accounting = 60/100.

    Probability that student passed English = 60/100.

Given that student passed Accounting. Probability that they passed

 English = [tex]\frac{60}{100} * \frac{60}{100} = \frac{3600}{10000} = \frac{9}{125}[/tex]

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The value of the Angle A is  74.3°.

The longest side is in opposition to the longest angle, and the shortest side is in opposition to the smallest angle, respectively.

The opposite of the longest side is the greatest angle, while the opposite of the shortest side is the smallest angle. According to the sides of a triangle rule, the lengths of any two sides of a triangle must add up to more than the length of the third side.

The comparable sides are proportionate and the angles are same. The sides that are opposite the same angle are the corresponding sides. For instance, if two triangles have a 90-degree angle on each side, Triangle A's opposing side will match Triangle B's opposite side.

AB/sin(c)=AC/sin(a)=BC/sin(b)

8/sin(a)=5/Sin37°

Angle= 74.3°.

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Answer:

Autumn is correct because it's a non-linear line. although it is positive, it's not straight.

Answer:

autumn is correct. is positive and is not a line

Answer: 128 ounces

Step-by-step explanation:

One ounce has a mass of 16 and 16 x 8 is 128

On solving the provided question we can say that from data provided by the graph, we have a straight line, which means that the coordinates are equal. so the equation will be x = y = > x-y = 0

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle.

from data provided by the graphs,

we have a straight line,

which means that the coordinates are equal.

so the equation will be x = y

x-y = 0

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✵Answer:

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✃--------------

hope it helps...

have a great day!!

Answer:

Answer:

(x-c) is a factor of f(x)

Answer:

Unemployment rate = 5.3%

Step-by-step explanation:

8000/150000 = 0.053

Convert to percentage:

0.053*100 = 5.3%

Answer:

The solution is b

Step-by-step explanation:

3× -2y-9

4x +3y =22