What is the angle θ in the triangle below?

What Is The Angle In The Triangle Below?

Answers

Answer 1

Answer:

θ = 64.98310506 degrees (65 degrees rounded to unit)

Step-by-step explanation:

4.2 * tanθ = 9

4.2 * tanθ/ 4.2 = 9/4.2

tanθ = 2.142857

θ = arctan 2.142857

θ = 64.98310506

Answer 2

Step-by-step explanation:

using the SOH CAH TOA Rule,

tan 0=opp÷adj

tan 0=9÷4.2

tan 0=2.14

0=tan inverse of 2.14


Related Questions

The graph below shows the relationship between the number of ounces and the number of calories in steak.


Which equation best represents this relationship?

Responses

Answers

Answer:

??

Step-by-step explanation:

where are the equations ?

Answer:

Step-by-step explanation:

write 10 forms for 1 over 8 as you can think of, be creative and use positive and negative powers or other forms of number.

Answers

Answer:

No entendí porfavor puedes ponerlo en Español

Last Friday, Kira and Marcy got dinner at Seaside Sushi restaurant. Kira ordered 2 pieces of tuna and 5 pieces of crab. Marcy ordered 3 pieces of tuna and 6 pieces of crab. Did Kira and Marcy order the same ratio of tuna pieces to crab pieces?

Answers

Answer:

no

Step-by-step explanation:

because Kira ordered 5 pieces of crab while Marcy has ordered 6 pieces of crab

Write the prime factorization of 48

Answers

The prime factorization of 48 is  2⁴  ×  3.

What are prime numbers?

Those greater than one are known as prime numbers. They simply have two variables: the number itself and factor 1. This indicates that these numbers cannot be divided without leaving a remainder by any number other than 1 and the number itself.

Given:

The number is 48,

Factorize 48 we get 2 × 2  × 2  × 2 × 3

= 2⁴  ×  3

Therefore, the prime factorization of 48 is  2⁴  ×  3.

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Jeremy received a bill with a balance due of $35.60. After an error was corrected, the new balance was of the original balance due.
What was the new balance due?

Answers

For Jeremy the new balance due was $8.9  .

In the question ,

it is given that ,

bill received by Jeremy with balance due =  $35.60  

also given that after an error occurred  ,

the new balance was 1/4 of the original balance due .

So , the new balance due is = (1/4) × (original balance due)

Substituting the value of original balance due ,

we get ,

new balance due = (1/4) × (35.60)

= 35.60/4

On Simplifying further ,

we get ,

= 8.9

Therefore , For Jeremy , the new balance due was $8.9  .

The given question is incomplete , the complete question is

Jeremy received a bill with a balance due of $35.60. After an error was corrected, the new balance was 1/4 of the original balance due. What was the new balance due ?

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How many reflection symmetry does an eight pointed star have ? How many rotational symmetry does an eight pointed star have ?

Answers

An eight pointed star have 8 rotational symmetry and 8 reflection symmetry

What is rotational symmetry?

The rotational symmetry of a shape explains why an object's shape remains unchanged when rotated about its own axis.

The eight pointed star while standing on any of the edges will be symmetrical.

What is reflection symmetry?

Symmetry with respect to reflections is known as reflection symmetry. Mirror or line symmetry are other names for reflection symmetry.

For a reflection symmetry to be in a figure, the figure must at least have one line dividing it into two parts, one of which is the mirror image of the other,

Each of the peak and crest in the star will make 8 reflection symmetry

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A car dealership increased the price of a certain car by 13%. The original price was $39,400.

Answers

Answer:

find the increased dollar amount by finding the percentage amount first:

$ 39,400 * .13

= $ 5,122

then take $ 5,122 and add it to the original price

$ 39,400 + $ 5,122 = $ 44,522 (new price)

Step-by-step explanation:

so many points if dine quickly

Answers

Answer is ∠PIK is your corresponding angle

Reason - a corresponding angle is where the angles have the same position at each intersection when a straight line (transversal) crosses two others. If the two lines are parallel, the corresponding angles are equal.

Write an equation in slope-intercept form for the line that passes through (3, 1) and (1,2).

Answers

The equation of the line that passes through (3, 1) and (1,2) in slope intercept form is y = - 2 / 2 x + 5 / 2.

How to find equation of a line?

The equation of a line can be represented in different form such as slope intercept form, point slope form, standard form and general form.

Therefore, let's write the equation of a line that passes through (3, 1) and (1, 2).

using slope intercept form,

y = mx + b

where

m= slopeb = y-intercept

Therefore, let's find slope

m = 2 - 1 / 1 - 3

m = 1 / - 2

m = - 1 / 2

Let's find y-intercept using (1, 2)

2 = - 1 / 2(1) + b

b = 2 + 1 / 2

b = 5 / 2

Therefore, the equation is y = - 2 / 2 x + 5 / 2

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A house on the market was valued at $355,000 . After several years, the value decreased by 9%. By how much did the house's value decrease in dollars? What is the current value of the house?

Answers

Answer: $323,050

Step-by-step explanation:

355,000 over 1 x 9 over 100 = 3195000 over 100 (31950)

355,000- 31,950 = 323,050 which is your answer, hope this helped <3

simplify this expression-12÷3×(-8+(-4)²-6)+2​

Answers

Answer: -6

Step-by-step explanation:

please help someone its the last question :((((((((((((((((((

Answers

Answer:

x = 11

Step-by-step explanation:

(7x - 4) and 73 are alternate exterior angles and are congruent , then

7x - 4 = 73 ( add 4 to both sides )

7x = 77 ( divide both sides by 7 )

x = 11

Answer:

[tex]x = 11[/tex]

Step-by-step explanation:

two angles are congruent for the parallelism of the two horizontal lines (external alternates). thus

[tex]7x - 4 = 73 \\ 7x = 77 \rightarrow x = 11[/tex]


a.
Lesson 2.16 Practice Problems
There are many cylinders with a volume of 1447 cubic inches. The height h(r) in
inches of one of these cylinders is a function of its radius r in inches where h(r) =
b.
What is the height of one of these cylinders if its radius is 2 inches?
What is the height of one of these cylinders if its radius is 3 inches?
What is the height of one of these cylinders if its radius is 6 inches?
144

Answers

1) The height of one of these cylinders if its radius is 2 inches is

115.207 inches.

2) The height of one of these cylinders if its radius is 3 inches is

51.203 inches.

3) The height of one of these cylinders if its radius is 6 inches is

12.800 inches.

VOLUME OF CYLINDER = πr²h = 1447 cubic inches

1) when radius is 2 inches then:

πr²h = 1447

h = 1447/ (3.14 x 2²) = 115.207 inches

2)when radius is 3 inches then:

πr²h = 1447

h = 1447/ (3.14 x 9²) = 51.202 inches

3) when radius is 6 inches then:

πr²h = 1447

h = 1447/ (3.14 x {36}²) = 12.800 inches

1) The height of one of these cylinders if its radius is 2 inches is

115.207 inches.

2) The height of one of these cylinders if its radius is 3 inches is

51.203 inches.

3) The height of one of these cylinders if its radius is 6 inches is

12.800 inches.

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Kepteo can cultivate a piece of land in7hrs. While wanjiku can do the same work in 5 hrs . Find the time they will take to cultivate the piece of land when working together

Answers

The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Kepteo can cultivate a piece of land in 7 hr.

Wanjiku can do the same work in 5 hr.

Now,

Since, Kepteo can cultivate a piece of land in 7 hr.

Hence, Kepteo make work in 7 h

So, In 1 hour kepteo work = 1/7

And, Since, Wanjiku can cultivate a piece of land in 5 hr.

Hence, Wanjiku  make work in 5 h

So, In 1 hour Wanjiku work = 1/5

Thus, They make with together = 1/7 + 1/5

                                                = 12/35

Hence, When they working, they make = 12/35 work per hour

So, They need number of hour to working together = 35/12 hour

                                                                               = 2 hour 55 minutes.

Thus, The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.

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I need answer help please

Answers

The value of the function f(a+4) is  [tex]\frac{7}{a^{2} +8a+11}[/tex]

What is a function?

function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable called the dependent variable.

if f(x) = [tex]\frac{7}{x^{2} - 5}[/tex], which means this equation is a function of x,

To find another equation whose function is f(a + 4)

We substitute x for a + 4 in the above equation

f(a+4) = [tex]\frac{7}{(a+4) ^{2} - 5 }[/tex]

expanding [tex](a + 4)^{2}[/tex], and simplifying the denominator, we have

[tex]a^{2}[/tex] +8a + 16 - 5 = [tex]a^{2}[/tex] + 8a + 11

so the simplified form of the new function would be  [tex]\frac{7}{a^{2} +8a+11}[/tex]

In conclusion, the function f(a +4) =  [tex]\frac{7}{a^{2} +8a+11}[/tex]

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Point M is the midpoint of AB. If the coordinates of A are ( -3 , 6 ) and the coordinates of M are ( -5 , 2 ), what are the coordinates of B? (reference sheet on the left side)

Answers

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

[tex](-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)[/tex]

Putting the x-coordinates in (1),

[tex]-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7[/tex]

Similarly, putting the y-coordinates in (1),

[tex]2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2[/tex]

Hence, the coordinates of B are (-7,-2).

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This is the kinetic energy of a 64 kg object travelling at 12 m/s.

11.2kj
4.6kj
960j

Answers

Kinetic energy of a 64 kg object travelling at 12 m/s is 4.6kj.

Kinetic energy = KE = [tex]\frac{1}{2}mv^{2}[/tex]

Mass = m = 64 kg

Velocity = v = 12 m/s

KE = [tex]\frac{1}{2}*64*(12)^{2}[/tex]

    = 4608 J

1000 j = 1 kj

      1 j = 1/1000 kj

4608 j = 4608/1000 kj

          = 4.608 kj

Hence, kinetic energy is 4.6 kj.

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A speed limit in Europe is 80 km per hour. What is the speed in miles per hour? There are about 1.6 kilometers in 1 mile. (1 point)
Responses

50 miles per hour
50 miles per hour

75 miles per hour
75 miles per hour

128 miles per hour
128 miles per hour

50 miles


ned asap
pls answer rightly not spam

Answers

Answer:

50 miles per hour

Step-by-step explanation:

80 km         1 mi        

---------- x ------------ = 50 mi/hr

  1 hr         1.6 km

Your answer is 50 miles per hour

what is 1311 divided by 20=?
using long division and with a remainder

Answers

For 2311 divided by 20
- the long division is 115
- reminder is 11

For 1311 divided by 20
- the long division is 65
- the reminder is 11

The value of the solution of division is 115 with the remainder 11.

We have to give that,

1311 divided by 20.

Now, using long division as,

1311 divided by 20.

20 ) 2311 ( 115

    - 20

     ------------

        31

       - 20

        ------

           111

         - 100

          --------

              11

         

Hence, the solution of division is, 115 with the remainder 11

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Compute the probability of tossing a six sided die with sides numbered 1 through 6 and getting a 5

Answers

The probability of tossing a six-sided die with sides numbered 1 through 6 and getting a 5 is 0.166666 or 1/6.

                                                                       

Here in the question, we see that a six-sided die is tossed. So there will be a total of 6 outcomes.

So the sample space will be {1,2,3,4,5,6}

Of which the possible outcome of getting a 5 is 1

Let A be the event of getting a 5 on tossing a six-sided die

∴ the probability of getting a 5 on tossing a six-sided die is P(A)=1/6

we know that the probability of an event is the possible outcome of the event divided by the total outcomes of that event.

So here the probability of getting a 5 is 0.166666 or 1/6.

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Which model represents the sum of 4 + 12?

Answers

Answer: 16

Step-by-step explanation:

Imagine you had 4 apples and someone gave you 12 more. You would have 16 apples.

Find the volume of the prism. Round to the nearest tenth if necessary.
options: 504.0 cm3 204.7 cm3 252.0 cm3 291.7 cm3

Answers

The volume is the amount of space thus the volume of the given prism will be 204.7 cm³ thus option (B) is correct.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the given prism will be the area of the front triangle with a length of 12 cm.

The form triangle has been attached below,

The length x will be,

x = √(6² - 3.5²) = 4.87 cm.

The area of from triangle = (1/2) × 7 × 4.87

A = 17.06 cm²

The volume of the prism = A × length (12 cm)

Volume = 17.06 × 12 = 204.68 cm².

Hence "The volume is the amount of space thus the volume of the given prism will be 204.7 cm³".

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The complete question has been attached below ;

1. Use the picture to answer the following questions.

2. Find the missing value(s) in the ratio table.

Answers

The ratio of snakes to frogs is 1 : 2.

The ratio of frogs to animals is 2 : 3.

If 3 more snakes are added, the number of frogs that should be added to keep the ratio constant is 6.

Here are the completed tables:

TVs                   2        4       6

Computers       7       14        21

Trumpets   10       5          20           25

Drums         8         4         16             20

Books      0       40       100

Boxes      0        2        5

What are the ratios?

Ratio expresses the relationship between two or more numbers. It is the number of times that one value is contained within other value(s).

The ratio of snakes to frogs can be determined by counting the number of snakes and frogs.

Number of snakes = 4

Number of frogs = 8

The ratio of snakes to frogs - 4 : 8 = 1 : 2

The ratio of frogs to animals = number of frogs : number of animals = 8 : 12 = 2 : 3.

Number of snakes if 3 more are added = 4 + 3 = 7

Ratio of snakes to frogs - 1 : 2  

Number of frogs that would keep the ratio constant = 7 x 2 = 14

Number of frogs that should be added = 14 - 8 = 6

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How to solve 3-2/5x-12/5=10-2x/5

Answers

Simplify answer 0=47……………………………..

is a gas station sells 8 bags of chips for $12, what is the unit price

Answers

The ratio shows how many times one value is contained in another value.

8 bags of chips = $12

1 bag of chips = $1.5

The unit price of a bag of chips is $1.5

What is a ratio?

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

There are 4 black and 3 white marbles in a bag.

The ratio of black and white marbles in the bag is 4:3.

We have,

8 bags of chips = $12

Divide both sides by 8.

1 bag of chips = $12/8

1 bag of chips = $3/2

1 bag of chips = $1.5

This means,

1 bag of chips costs $1.5

Thus,

The unit price of a bag of chips is $1.5

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Which choice is equivalent to the fraction below 2/√x - √x+2

Answers

The fraction is equivalent to the [tex]\sqrt{x+2}-\sqrt{x}[/tex].

The correct option is (C).

Given,

The fraction is given as:

[tex]\frac{2}{\sqrt{x} -\sqrt{x+2} }[/tex]

To find the above fraction which choice is equivalent to the fraction?

Now, According to the question:

Simplify or expand

[tex]\frac{2}{\sqrt{x} -\sqrt{x+2} }[/tex]

Rationalize the denominator:

[tex]\frac{2(\sqrt{x} -\sqrt{x+2} )}{(\sqrt{x} -\sqrt{x+2})(\sqrt{x} -\sqrt{x+2} ) }[/tex]

Expand the expression:

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

[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{x-(x+2)}[/tex]

[tex]\frac{2(\sqrt{x} +\sqrt{x+2} )}{-2}[/tex]

Determine the sign and cross out the common factor:

[tex]\sqrt{x+2}-\sqrt{x}[/tex]

Hence, The fraction is equivalent to the [tex]\sqrt{x+2}-\sqrt{x}[/tex].

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What is the slope of the line on the graph?



Enter your answer in the box.

Answers

Slope of line = -2

To solve start with two points
Ex. (0,0) and (3,-6)

To get from (0,0) to (3,-6) you will go down 6 and over 3

This can be written as -6/3 and simplified to -2

Answer: -2

The sets A and I are defined as follows: A = { − 2 , − 1 , 0 , 1 , 7 } I = { − 2 , − 1 , 1 , 2 , 8 } Find the intersection of A and I .

Answers

The intersection of A and I, A ∩ I = {-2, -1, 1}

What is intersection and union of sets?

The intersection of two sets A and B is the set of all common elements, it is denoted with A ∩ B.

Whereas the union of those two sets is the set of all elements that are either in A or in B, it is denoted by A ∪ B.

The given sets are,

A = {-2, -1, 0, 1, 7}

And I = {-2, -1, 1, 2, 8}

Intersection of A and I,

A ∩ I = {-2, -1, 1}

The intersection of A and I is {-2, -1, 1}.

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A 2\frac{1}{2}2 2 1 ​ -inch candle burns down in 10 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context.

Answers

The equation that represents the length of the candle over time will be b = -0.25t.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

A 2 ¹/₂ inches candle torches in 10 hours.

Let 'b' be the length of the candle and 't' be the number of hours. Then the equation is given as,

b = -[(2 ¹/₂) / (10)]t

b = -0.25t

The equation that represents the length of the candle over time will be b = -0.25t.

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HELP! Recursive and explicit growth problem

Answers

The populations, considering an exponential function, are given as follows:

P(1) = 19.2.P(2) = 23.04.P(12) = 142.66.

What is an exponential function?

An increasing exponential function is modeled according to the rule presented as follows:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which the variables of the function are:

A(0) is the initial amount of the function.r is the growth rate of the function, as a decimal.

In this problem, the parameters are given as follows:

A(0) = 16, r = 0.2.

Hence the function, written as P(t), is:

[tex]P(t) = 16(1.2)^t[/tex]

The numeric values are found replacing the lone instance of t by the value at which we want to find the numeric value, hence:

P(1) = 16 x (1.2)¹ = 19.2.P(2) = 16 x (1.2)² = 23.04.P(12) = 16 x (1.2)¹² = 142.66.

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