In tenpin bowling, the height of each bowling pin must be 15 inches with an absolute deviation of 0.03125 inches find the minimum and maximum possible heights of the bowling pin.

We find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

What is the tangent of the angle?

The ratio of the right-angle triangle's base or perpendicular is known as the tangent of the angle.

The ratio of two of the right-angled triangle's three sides is used to define the sine, cosine, and tangent of an acute angle.

Here,

We have to find out how is a right triangle used to find the sine and cosine of an acute angle is there a unique right triangle that must be used.

We concluded that a right triangle can be used to determine the tangent of any acute angle, by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

Hence, we find the sine and cosine of an acute angle by taking the ratio of the length of the side opposite to the angle with respect to the length of the side adjacent to the acute angle.

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<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

Let's simplify step-by-step.

3a − 2 ( 8 + 4a )

Distribute:

= 3a + ( −2 ) ( 8 ) + ( −2 ) ( 4a )

= 3a + −16 + −8a

Combine Like Terms:

= 3a + −16 + −8a

= ( 3a + −8a ) + ( −16 )

Answer:

= −5a − 16

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

p + s = 45

s = 2p + 5

Step-by-step explanation:

Let s = number of students.

Let p = number of parents.

p + s = 45

s = 2p + 5

Answer:

(a)  

∠(a) = 105°

(b)  ∠(b) = 75°

(c)  

∠(c) = 105°

Step-by-step explanation:

Complete Question

1. All numbered streets runs parallel to each other. Both 3rd and 4th Streets are intersected by King Ave. as shown:

(a) Suppose a car is traveling west on 4th Street and turns onto King Avenue heading south. What is the measure of the angle created by the car's turning? Explain your answer.

(b) Suppose a car is traveling southwest on King Avenue and turns right onto 3rd Street. What is the measure of the angle created by the car's turning? Explain your answer.

(c) Suppose a car is traveling northeast on King Avenue and turns right onto 4th Street. What is the measure of the angle created by the car's turning? Explain your answer

Also find the attachment

Solution

(a)  

∠(a) + 75° = 180°

∠(a) = 180° - 75°

∠(a) = 105°

(b) As we can see the 3rd and 4th street are parallel thus the corresponding angle will be equal  

Thus, ∠(b) = 75°

(c)  

∠(c) + 75° = 180°

∠(c) = 180° - 75°

∠(c) = 105°

Answer:

The tree is 9.1 meters high.

Step-by-step explanation:

We can use the Pythagorean Theorem to solve this problem. Let T be the height of the tree. We can set up the following equation:

4.2^2 + T^2 = 6.5^2

Solving for T, we get:

T = sqrt(6.5^2 - 4.2^2)

T = sqrt(41.25 - 17.64)

T = sqrt(23.61)

T = 4.878

Since the height of the tree is measured to the nearest tenth, we can round this value to 9.1 meters.

[tex] \longmapsto \: =25/35 [/tex]

[tex] \longmapsto \: =5/7[/tex]

[tex] \longmapsto \: =5:7[/tex]

Answer:

The answer to this is 14%

Step-by-step explanation:

sorry if im wrong

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

The requirement of the parallel sides is Alternate interior angles.

The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.

The alternate interior angles require two parallel lines to be formed. Therefore the requirement of the parallel sides is Alternate interior angles.

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Answer:I think 1/3

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

The process of each individual getting chosen is a sequence of events, meaning we need to multiply each individual probability separately in order to get the probability of this happening. For the first choice, the probability is 1/3 since there can only be one chosen to go first and there are three options. For the second choic,e the probability is 1/2 because only one can be chosen but there are now only 2 options since someone got chosen to be first. This leaves the last probability which is 1/1 since only one person is left. Therefore, to get the probability of this event happening we need to multiply all of these probabilities together...

1/3 * 1/2 * 1/1 = x

[tex]\frac{1 * 1 * 1}{3 * 2 * 1} =[/tex] [tex]\frac{1}{6}[/tex]

Therefore the probability of Bobby going first, Chandler going second, and Adrian going last is 1/6

The number that belongs to both sequences is 26.

The formula known as the nth term allows us to locate any term in a series. The letter "n" stands for "number."

By changing the term number's value, we can create a series that uses the nth term (n).

To find the 10th term we would follow the formula for the sequence but substitute 10 instead of ‘n‘; to find the 50th term we would substitute 50 instead of n.

We have two sequences, let's call one as A and the other as B.

The n-th term of sequence A is written as:

aₙ = 3*n^2 - 1

the nth term of sequence B is written as:

bₙ = 30 - n^2

We want to find a term that belongs to both sequences, (it can be for different integers, we can use n for sequence A and x for sequence B)

Then we want to find:

aₙ = bₓ

where n and x are integer numbers.

Then we will heave:

3*n^2 - 1 = 30 - x^2

To find the pair, we could isolate one of the variables, then input different integers in the other variable and see if the outcome is also an integer.

Let's isolate n.

3*n^2 = 30 - x^2 + 1

3*n^2 = 31 - x^2

n^2 = (31 - x^2)/3

n = √(  (31 - x^2)/3)

Now let's input different values for x, and see if the outcome is also an integer, notice that x is in a negative term inside a square root, then we have only a few values of x such that the equation can be true.

Then let's start with x = 1.

n(1) = √(  (31 - 1^2)/3) = √(30/3) = √10

We know that √10 is not an integer.

now with x = 2,

n(2) = √(  (31 - 2^2)/3)  = √( (31 - 4)/3) = √(27/3) = √9 = 3

then if x = 2, we have n = 3.

Both of them are integers, then we get:

a₂ = 3*(3)^2 - 1 = 27 - 1 = 26

b₃ = 30 - 2^2 = 30 - 4 = 26

Therefore, The number that belongs to both sequences is 26.

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Answer:i need to know what youre trying to find first

Step-by-step explanation:

Answer:

2nd graph

Step-by-step explanation:

Given

f(x) = x² + 3x - 4

To find the zeros let f(x) = 0 , that is

x² + 3x - 4 = 0 ← in standard form

(x + 4)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 1 = 0 ⇒ x = 1

The only graph with zeros at x = - 4 and x = 1 is the 2nd graph

Second graph is a required answer

Answer:

The theater has 698 seats.

Step-by-step explanation:

So, the first row has 26 seats, and that's one out of 25 rows.

Let's find the amount in the following rows.

The following rows have an additional 2 seats, so:

28 × 24 = 672

Now, we add the other 26 seats from the first row:

672 + 26 = 698

And there's your answer.

Answer: A.

Step-by-step explanation: Because a solid can go from a liquid to a gas and if you think of ice, Ice starts as a solid then when it melts it turns into a liquid the when the liquid evaporates it turns to a gas. Hope this helped

Answer:

x=-1 y=2

Step-by-step explanation:

Use Elimination or Substitution (Elimination shown below)

6x+5y=4

6x-7y =-20 <- Multiply by -1

-6x+7y=20

12y = 24

y=2

Plug back into either of the equations and solve for x.

6x + 10= 4

6x = -6

x = -1

Double check work:

-6+10 = 4

The side lengths measuring 4 units , 5 units and 6 units does not make a Right Triangle as they do not satisfy the condition of the Pythagoras Theorem that the square of the longest side is equal to the sum of square of other two side .

The Pythagoras Theorem states that the square of the lonest side (hypotnuse) is equal to the sum of the square of the other two sides ,.

The side lengths of the triangle are given as 4 units , 5 units and 6 units ,

According to the condition , [tex]6^{2} = 4^{2} + 5^{2}[/tex]

On simplifying ;

we get ;

[tex]36 = 16 + 25[/tex] ;

[tex]36 \neq 41[/tex]

that means the given side do not form a right triangle .

Therefore , the side 4 units , 5 units and 6 units do not make a right triangle .

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The half-life of caffeine in the body is approximately 5-6 hours, not 666 hours. Given this information, we can calculate the latest time Charlotte can drink a 222-ounce shot of espresso that contains 80mg of caffeine and still have no more than 2020mg of caffeine in her system at 11pm.

What does math's % mean?

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100).

We know that after 5-6 hours, the amount of caffeine in the body decreases by 50%. Therefore, in 11 hours, the amount of caffeine in the body would decrease by approximately 87.5%.

If we let x be the number of hours before 11pm that Charlotte can drink the espresso, then the amount of caffeine in her body at 11pm would be:

80mg * (1 - (87.5% ^ (x/5-6))) = 2020mg

Solving for x, we find that the latest time Charlotte can drink the espresso is approximately 6:30pm.

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Answer:

The two little blue boxes are going

Step-by-step explanation:

Lets start with the 0s.

Two zeros is 0. so its

_ _ _ _ 0.

Now we add 2 and 0 which is 2.

_ _ _ 2 0

now we add 6 and 4, which is 10. We have to put the 1 above the 7 and 5 and we are going to put 0 down below

_ _ 0 2 0

now we are going to add 7 +5, but dont forget the 1! Its going to be 13. Put the 3 down below and put the 1 above the 2!

_ 3 0 2 0

Now its 2 + 1 which is 3

your answer is

33020

Answer:

The initial fee

Step-by-step explanation:

Thats the fee to sort of set up the membership, the 15 is the monthly cost, and m is the months you use the membership. Make sense?

the answer is x=-1 or x= 5

Answer:

All real numbers greater than or equal 2.

Step-by-step explanation:

There is a closed circle on the number 2,which means that it is included in the range. The line is increasing, meaning that all real numbers greater than or equal to 2 is the range.

Answer:

850 m²

Step-by-step explanation:

There are 3 different pairs of rectangles—the side rectangles, the rectangles on the top and bottom, and the other side rectangles.

10x11=110

110x2=220

15x10=150

150x2=300

15x11=165

165x2=330

330+300+220=850 m².

y = 0.25x + 50 and y = 0.3x + 40 will be the equation to find the cost to rent a car.

A mathematical formula known as a cost function is used to visualize how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.

Costs are the dollar amount spent on materials, labor, services, goods, equipment, and other items for use by a company or other accounting organization.

y = 0.25x + 50

y = 0.3x + 40

The equations will be written as y = mx + b, or slope-intercept form. You must determine what you have in order to determine what belongs where.

They receive $50 per day plus $0.25 per mile from Rent-A-Wreck. This indicates that the $0.25 per mile is the number that changes daily. Thus, y = 0.25x + 50 will be the equation.

They receive $40 per day with $0.30 per mile from Drive-A-Lemon. This indicates that the $0.30 per mile is the number that changes daily. y = 0.3x + 40 will be the formula.

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Answer:

3rd

Step-by-step explanation:

because both points are negative

The number of blueberry muffins the baker makes on Tuesday is given by the equation A = 24 blueberry muffins

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of blueberry muffins the baker makes be A

Now , the equation will be

The total number of muffins the baker makes on Tuesday = 60 muffins

The percentage of blueberry muffins = 40 %

So ,

The number of blueberry muffins the baker makes A = total number of muffins the baker makes on Tuesday x percentage of blueberry muffins

Substituting the values in the equation , we get

The number of blueberry muffins the baker makes A = 60 x ( 40/100 )

On simplifying the equation , we get

The number of blueberry muffins the baker makes A = 60 x 0.4

The number of blueberry muffins the baker makes A = 24 blueberry muffins

Therefore , the value of A is 24

Hence , the number of muffins is 24

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Answer:

162

Step-by-step explanation:

8x 12 + 6x 11 = 162