can someone please help me with this math problem! thank you! :)

Can Someone Please Help Me With This Math Problem! Thank You! :)

Answers

Answer 1

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The sides marked on the triangle are adjacent to and opposite the given angle. The mnemonic SOH CAH TOA is intended to remind you which trig functions relate which sides. The one applicable here is TOA:

  Tan = Opposite/Adjacent

Using the values on the diagram, we have ...

  tan(65°) = 18/y

Multiplying by y/tan(65°) gives ...

  y = 18/tan(65°)

  y ≈ 8.3935 ≈ 8.4

Can Someone Please Help Me With This Math Problem! Thank You! :)

Related Questions

For a family with 3 children, what is the probability that they have exactly 2 boys and 1 girl?

Answers

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

Possibilities (G for girls and B for boys):

GGG

GGB

GBG

GBB

BGG

BGB

BBG

BBB

Answer:

1/4

Step-by-step explanation:

There are a total of four possibilities,

- Three girls

- Three boys

- Two girls and One boy

- Two boys and One girl

and only one of those options are 2 boys and 1 girl

If you place a 34-foot ladder against the top of a building and the bottom of the ladder is 25 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot.

Answers

Answer:

59

Step-by-step explanation:

Since it says round to the nearest tenth of a foot, I might be wrong. But anyways I hope this helps!

The height of the building that has a 34 foot ladder rested on it with a distance of 25 feet is 23.0 feet.

The situation forms a right angle triangle.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The isdes of the triangle can be found using pythagoras theorem.

Therefore, the length of the ladder is the hypotenuse of the triangle. The distance form the bottom of the ladder to the bottom of the building is the adjacent side.

The height of the building is the opposite side of the triangle. Therefore,

c² = a² + b²

34² - 25² = b²

b = √1156 - 625

b = √531

b = 23.0434372436

b = 23.0

The height of the building is 23.0 feet.

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Factor 4x^2 - 4x - 24

Answers

Answer:

4(x - 3)(x + 2)

Step-by-step explanation:

Given

4x² - 4x - 24 ← factor out 4 from each term

= 4(x² - x - 6) ← factor the quadratic

= 4(x - 3)(x + 2)

[tex] \huge\boxed{ \underline{ \mathbf{Answer :}}}[/tex]

[tex]\hookrightarrow4 {x }^{2} - 4x - 24[/tex]

[tex]\hookrightarrow4 {x}^{2} - 12x + 8x - 24[/tex]

[tex]\hookrightarrow4x(x - 3) + 8(x - 3)[/tex]

[tex]\hookrightarrow(4x + 8)(x - 3)[/tex]

what’s the area of the other figure?

Answers

9514 1404 393

Answer:

  12 in²

Step-by-step explanation:

The ratio of areas is the square of the ratio of linear dimensions.

  A/27 = (8/12)²

  A = 27(2/3)² = 12

The area of the smaller figure is 12 in².

a number is at least 16

Answers

If x is our number, then x >= 16 (where >= is greater than or equal to symbol)

A florist sells a bundle of 12 sunflowers for $9. You can also buy single sunflowers at the same rate. Fill in the table below

Number of sunflowers: Cost ($): Unit rate ($ per sunflower):
2
4
6
8
10
12

Answers

Answer:

3$:4

Step-by-step explanation:

12/3= 4  9/3= 3

3$:4

Helpppppppppppppppppppppp

Answers

Answer:

the answer is 59 because you have to simplify no that's the answer

The angle of a triangle are 3x (4x+1) and (6x-3), find the value of x.

Answers

X=14

[tex]3x + 4x + 1 + 6x - 3 = 180 \\ 13x - 2 = 180 \\ 13x = 182 \\ x = 14[/tex]

For which values of k the pair of equations KX 3y K − 3 and 12x Ky K have no solution?

Answers

K must be equal to 0, for the pair of equations to have no solution.

For the pair of equations KX + 3y - K = 0 and 12x + Ky - K = 0 to have no solution, the value of K must be such that the two equations have no common solution.

This can be done by equating the two equations and solving for K.

KX + 3y - K = 0

12x + Ky - K = 0

Subtracting equation (1) from equation (2)

11x + 3y = 0

Divide both sides by 3

x + y = 0

Therefore, K must be equal to 0, for the pair of equations to have no solution.

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there is another option
6- × =3​

Answers

Answer:

3x=6

Step-by-step explanation:

Someone please help! Picture attached

Answers

Answer:

third side = 3

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = 5²

x² + 16 = 25 ( subtract 16 from both sides )

x² = 9 ( take square root of both sides )

x = [tex]\sqrt{9}[/tex] = 3

explanation with steps

Answers

Answer:

x = 40° , y = 140° z = 10°

Step-by-step explanation:

the sum of the 3 angles in a triangle is 180° , then

x + 60° + 80° = 180°

x + 140° = 180° ( subtract 140° from both sides )

x = 40°

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

y is an exterior angle of the triangle , then

y = 60° + 80° = 140°

x is also an exterior angle , then

30° + z = x

30° + z = 40° ( subtract 30° from both sides )

z = 10°

Which proportion is solved correctly using cross products?
4/6 = 12/18 = 4x12=9x18
or
4/6 = 12/18 = 4x12=9x12

Answers

The proportion that is solved correct using cross products is given as follows:

4/6 = 12/18 = 4x18 = 6x12

How to solve a proportion applying cross product?

A proportion represents a fraction of a total amount, hence it is written as follows:

p = x/y.

In which the terms are given as follows:

x is the numerator of the fraction.y is the denominator of the fraction.

For cross products, we have two proportions that are equal, hence the numerator of the first fraction multiplies the denominator of the second fraction, while the denominator of the first fraction multiples the numerator of the second fraction.

The proportion in this problem is given as follows:

4/6 = 12/18.

Hence the cross product is applied as follows:

4 x 18 = 6 x 12

72 = 72 (which is a true statement).

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what is 60 to the power of 3/2? not sure how to calculate it

Answers

Answer: 108000

Step-by-step explanation: Here's how I got my answer:

So, first, we need to know something. Whenever there's a fraction, you need to do this. I'll show you the numbers for this problem:

(60^3) / 2

So, the numerator goes in parentheses, and the denominator is what we are dividing by. So, 60^3 is the same as 60 x 60 x 60. You'd get 216000. Then, divide by 2 to get 108000. I hope this helps!

TIP: do NOT turn 3/2 into an improper fraction; 1 1/2. You would get a completely different answer.

A certain television is advertised as a 21-inch TV (the diagonal length). If the height of the TV is 13 inches, how wide is the TV? Round to the nearest tenth of an inch.

Answers

Answer:

16.5 inches

Step-by-step explanation:

Use the Pythagorean Theorem

a² + b² = c²

a² + 13² = 21²

a² + 169 = 441

Subtract 169 from both sides

a² = 272

Take the square root of both sides

a = 16.4924225025

Rounded

a = 16.5 inches

An informal survey was taken at a farmer’s market. People were asked whether they liked carrots, turnips, or both. The results are shown in the Venn diagram.

A circle labeled carrots 84 overlaps a circle labeled turnips 25. Overlap is labeled 17. 4-column table with 3 rows. First column has no label with entries carrots, not carrots, total. Second column is turnips with entries a, b, blank. Third column is not turnips with entries 60%, blank, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.

a = 12%, b = 17%
a = 12%, b = 18%
a = 40%, b = 18%
a = 41%, b = 63%

Answers

Answer: b

Step-by-step explanation:

Based on the given relative frequency table, and the Venn diagram, the values a and b would be 12% and 18%. a = 12%, b = 18%.

What is the value of A?

First find the total number of people surveyed:

= 84 + 17 + 25 + 15

= 141

The value of A would be:

= Carrots and turnips / total people

= 17 / 141

= 12%

What is the value of B?

= Number of people who prefer turnips / Total suriveyed

= 25 / 141

= 18%

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Jesse is buying a new cell phone online. It costs 8,835.3 yen (Japanese money). The U.S. dollar is worth 88.353 yen. How much will Jesse's cell phone cost in U.S. dollars?

Answers

Answer:

Cost of cell phone in U.S. dollar = 100 U.S. dollar

Step-by-step explanation:

Given:

Cost of cell phone in yen = 8,835.3 yen

1 U.S. dollar = 88.353 yen

Find:

Cost of cell phone in U.S. dollar

Computation:

Cost of cell phone in U.S. dollar = Cost of cell phone in yen[1 /  88.353]

Cost of cell phone in U.S. dollar = 8,835.3[1 /  88.353]

Cost of cell phone in U.S. dollar = 8,835.3 /  88.353

Cost of cell phone in U.S. dollar = 100 U.S. dollar

find the surface area

Answers

Answer:

12?

Step-by-step explanation:

Answer:

2x5=10 + 4x3=12 +12 total 34

Step-by-step explanation:

HOPE THIS HELPS!!!!!!!!!

HAVE A AWESOME DAY!!!!!

Can someone please help me with math.

Answers

Answer:

your answer is line plot D.

Step-by-step explanation:

Help me with steps pleaseee

Answers

Answer:

Step-by-step explanation:

Question
To be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

What is the maximum time (in seconds) that she can take on her last lap and still make the team?

Answers

The maximum time (in seconds) that she can take on her last lap and still make the team will be 52 seconds.

How to calculate the mean?

From the information, to be eligible for the swim team, the mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s). The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

The maximum time (in seconds) that she can take on her last lap and still make the team will be:

= (60 × 5) - (63 + 62 + 65 + 58)

= 300 - 248

= 52

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How to get the awnser

Answers

The slope and the y-intercept of the linear function in this problem are given as follows:

Slope: -2.y-intercept: 6.

The equation of the linear function in this problem is given as follows:

y = -2x + 6.

What is a linear function?

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

m is the slope, representing the rate of change of the linear function.b is the y-intercept, representing the value assumed by the linear function when x assumes a value of zero.

From the table, we have that when x = 0, y = 6, hence the intercept b is given as follows:

b = 6.

When x increases by one, y decays by two, hence the slope m of the linear function is given as follows:

m = -2.

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Determine the missing angle measure.

Answers

Answer:

19°

Step-by-step explanation:

In this problem, we have complementary angles, which add up to 90° as indicated by the right angle symbol. So, getting x° is as simple as 90°-71°=19°.

A construction crew has just finished building a road. The crew worked for 14 days. If they built 2 1/4 kilometers of road each day, what is the total length of road they built? Write your answer as a mixed number in simplest form.

Answers

Answer:

[tex]31\frac{1}{2}[/tex] kilometers

Step-by-step explanation:

The weekly sales of an album have increased since it was first sold at a music store 6 weeks ago. The linear regression equation describing the change is y=1.9x+13.3 , where x represents the week and y represents the number of albums sold per week. ​Round the residual value to the nearest integer and then construct a residual plot of the data.

Answers

The residual value to the nearest integer and then construct the residual plot of the data will be 25.

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.

Since an album went on sale for the first time at a music retailer six weeks ago, its weekly sales have climbed. The change is described by the linear regression equation y=1.9x+13.3, where x is the week and y is the number of albums sold each week.

The residual value is given as,

y = 1.9(6) + 13.3

y = 11.4 + 13.3

y = 24.7

y ≅ 25

The residual value to the nearest integer and then construct the residual plot of the data will be 25.

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A ball bounces to a height of 6.7 feet on the first bounce. Each subsequent bounce reaches a height that is 81% of the previous bounce. What is the height, in feet, of the sixth bounce

Answers

After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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A parallelogram has three of its vertices at $(-1,0)$, $(2,4)$ and $(2,-4)$. What is the positive difference between the greatest possible perimeter and the least possible perimeter of the parallelogram

Answers

The difference in perimeters is 6.

We  have  3  possible  points  for  the  last  vertex.

These  are

[ -1 + 2 , 0 + 4 ]  - [ 2 , -4 ]  =  [  [ 1 , 4] - [2 , - 4 ] =   ( -1, 8  )

The perimeter of this parallelogram = [tex]2 [ \sqrt{(-1-2)^{2} + (8-4)^2]} + 8][/tex]

                                                            = [tex]2 [ \sqrt{9+16}+ 8 ][/tex]

                                                            = 2 [ 5  + 8 ]

                                                            = 26

Another possible  point is

[ 2 + 2, 4 - 4]  - [-1,0] =  [ 4, 0]  - [ -1,0]  = (5,0)

The perimeter of this parallelogram

= [tex]2 [ \sqrt{(5-2)^{2} +(0-4)^{2} } + \sqrt{(2+1)^{2}+ (4-0)^{2} } ][/tex]

= [tex]2 [ \sqrt{3^{2}+ 4^{2} } + \sqrt{3^{2}+ 4^{2} }][/tex]

= [tex]2(\sqrt{25} +\sqrt{25})[/tex]

= 2(5 + 5)

= 20

The third feasible point won't change either the largest perimeter of 26 or the smallest perimeter of 20; therefore, we don't need to calculate it.

Difference = 26-20

                  = 6

Hence, the difference in perimeters is 6.

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48 > -6x

A. X > -8
B. X > 54
C. X < -8
D. X < 54

Answers

Answer:

The answer is C.

Step-by-step explanation:

First divide both sides by -6.

48/-6 > x/-6

Remember, you switch the signs if you are dividing by a negative number.

The final answer will be x<-8.

Hope this helps!

ANSWER CORRECTLY !!!!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!!

Answers

Answer:

x = 541.324

Step-by-step explanation:

What is the log2 function?

Answers

The log2 function is a mathematical function that returns the logarithm of a given number to the base 2.

It is used to calculate the power to which a number must be raised to get a particular result.

For example, the log2 of 16 is 4, since 2^4 = 16. It can also be expressed as log2 16 = 4. Log2 is used in many areas of mathematics, including number theory, probability theory, and calculus.

It is also used in computer science and engineering to solve complex problems. Furthermore, it is used in cryptography to calculate the key sizes of encryption algorithms. In general, it is an essential tool for solving mathematical and scientific problems.

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