Help me with this math question plss​

Answers

Answer 1

Answer:

C. 8/17

Step-by-step explanation:

PM = 16+14 = 30 cm

KP= LN = 16×tan45° = 16×1 = 16cm

by using pythagorean theorem, we find :

KM² = PM²+KP²

= 30²+16²

= 900+256

= 1156

=> KM =√1156 = 34cm

so, cos theta = KP/KM = 16/34 = 8/17


Related Questions

Find the value of the expression when x = 4 and y = 6.
8x + 2y + 3

Answers

Answer:

47

Step-by-step explanation:

8(4) + 2(6) + 3 = 47

32 + 12 + 3 = 47

8(4) + 2(6) + 3 = 47

solve the following pair of simultaneous equations. you can use any 3 methods. 2x- y= 5, x+2y=5.

Answers

Answer:

2x-y= 5, x + 2y=5

Step-by-step explanation:

x = 3, y = 1

Change the following fraction to a decimal. 8 4/5 = ?

Answers

Answer:

The answer is 8.8

Step-by-step explanation:

4/5 x 20/20 = 80/100

80/100 = .8

Step-by-step explanation:

[tex]8 + \frac{4}{5} = \frac{40 + 4}{5} \\ = \frac{44}{5} = 8.8 \\ thank \: you[/tex]

HELP ASAP!!!

The line (y-1)=(2/3)(x+1) contains point (a,-3).

What is the value of a? Show
your work.

Answers

Answer:

-7

Step-by-step explanation:

The line (y-1)=(2/3)(x+1) contains point (a,-3)

=> (-3-1) = (⅔)(a+1)

-4 = (⅔)(a+1(

(a+1)= -4 ÷ ⅔

a + 1 = -4 × 3/2

a+ 1 = -6

a = -6-1

a = -7

The value of 'a' will be;

⇒ a = - 7.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The equation of line is,

⇒ (y - 1) = (2/3) (x + 1)

And, The point on the line = (a, - 3)

Now,

Since, The point on the line = (a, - 3)

Hence, It satisfy the equation of line.

Substitute x = a and y = - 3, we get;

⇒ (y - 1) = (2/3) (x + 1)

⇒ (- 3 - 1) = (2/3) (a + 1)

⇒ - 4 × 3 = 2a + 2

⇒ - 12 - 2 = 2a

⇒ 2a = - 14

⇒ a = - 7

Thus, The value of a = - 7

Learn more about the substitution method visit:

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Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is one half the price of a student ticket plus $8.00. Write an equation to determine how much Grace will pay for a student ticket.

one halfx + 8 = 15
one halfx − 8 = 15
one halfx + 15 = 8
one halfx − 15 = 8

Answers

Answer:

Option 1 is the correct equation.

Step-by-step explanation:

x = price of the student ticket.

One half price of x + $8 = adult ticket price ($15)

Answer:

The correct answer is A

Because taking the student ticket to be x

one half of x + 8 =15

true or false? in a two-column proof, the left column states your reasiong

Answers

False. The left column is for your statements , the right column is for your reasoning.

What’s the answer???

Answers

Answer:

Step-by-step explanation:

Anyone know the answers 11 through 14?Please help me.I’m tired

Answers

Answer:

11. [tex]x^{5}[/tex]

12. 5*[tex]x^{2}[/tex]

13. x+21

14. 2x-8

Step-by-step explanation:

Practice
1. Hyatt Home Improvement uses H-shaped tile Design 1 Design 2
Design 3
designs on their buildings, advertisements, and
vehicles. The designs they use follow a specific
pattern. The first three designs are shown.
a. Describe the pattern in the designs.
b. Write two different expressions to represent
the number of tiles used in Design n. Use
algebraic properties to prove the two expressions are equivalent.
c. Explain how you could use technology to prove the two expressions in part (b)
are equivalent.
d. Create a table that displays the number of tiles used in each of the first 6 designs.
e. Create a graph of the data points in your table on the coordinate plane shown. Draw a smooth
curve to connect the points.
f. Do all of the points on the smooth curve make sense in terms of the problem situation? Explain
your reasoning.
g. Describe the pattern as linear, exponential, quadratic, or none of these. Explain your reasoning.
h. The owner of Hyatt Home Improvement wants to put one of their designs on an empty
rectangular sign in front of their headquarters. The empty sign is 10 feet tall and 12 feet wide. If he

Answers

Patterns are set of rules that guide the creation of a dataset. The observation from the first three designs are as follows:

The pattern is that the number of tiles increases as the design number increasesThe expressions for the number of tiles are [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]The expression can be proved to be equivalent using graph technology The points on the curve make sense in this scenario because all values are positiveThe pattern is quadratic.The largest design number that can enter an empty 10 by 12 ft sign is design number 8

The pattern

The first three design show that, as the design number increases (i.e. 1, 2, 3), the number of tiles used also increases (i.e. 7, 12, 19)

The expressions for the number of tiles

The design number and the number of tiles is represented as follows

[tex]1 \to 7[/tex]

[tex]2 \to 12[/tex]

[tex]3 \to 19[/tex]

From the designs, we observe that some tiles are at the middle, while other tiles are at the sides.

Design 1 has 1 tile at the center and 6 tiles at either sides.

So, we have:

[tex]1 \to 1 + 6[/tex]

[tex]2 \to 4 + 8[/tex]

[tex]3 \to 9 + 10[/tex]

Expand

[tex]1 \to 1^2 + 6 \to 1^2 + 2 \times 3 \to 1^2 + 2 \times (1 + 2)[/tex]

[tex]2 \to 2^2 + 8 \to 2^2 + 2 \times 4 \to 2^2 + 2 \times (2 + 2)[/tex]

[tex]3 \to 3^2 + 10 \to 3^2 + 2 \times 5 \to 3^2 + 2 \times (3 + 2)[/tex]

Notice the pattern,

The number of tiles in design n will be:

[tex]Tiles = n^2 + 2 \times (n + 2)[/tex]

Open bracket

[tex]Tiles = n^2 + 2n + 4[/tex]

Hence, the expressions for number of tiles in design n are:

[tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]

Technology to prove that both expressions are equivalent

To prove that [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] are equivalent using technology, the graphs of [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] can be plotted and then compared

The table and graph for the first 6 designs

The table entry for the first 6 designs is calculated as follows:

[tex]n = 1\ \ \ \ \ Tiles = 1^2 + 2 \times 1 + 4 = 7[/tex]        

[tex]n = 2\ \ \ \ \ Tiles = 2^2 + 2 \times 2 + 4 = 12[/tex]        

[tex]n = 3\ \ \ \ \ Tiles = 3^2 + 2 \times 3 + 4 = 19[/tex]        

[tex]n = 4\ \ \ \ \ Tiles = 4^2 + 2 \times 4 + 4 = 28[/tex]        

[tex]n = 5\ \ \ \ \ Tiles = 5^2 + 2 \times 5 + 4 = 39[/tex]        

[tex]n = 6\ \ \ \ \ Tiles = 6^2 + 2 \times 6 + 4 = 52[/tex]        

So, we have:

[tex]\begin{array}{cc}Design & {Tiles} & {1} & {7} & {2} & {12} & 3 & {19} & {4} & {28} & {5} & {39}& {6} & {52} \ \end{array}[/tex]

See attachment for the graph of the above table

All the points on the curve make sense in this scenario because all values are positive.

The pattern type

We have:

[tex]Tiles = n^2 + 2n + 4[/tex]

When an equation has a degree of 2, the equation is quadratic.

Hence, the pattern is quadratic.

The largest design that an empty sign of 10ft by 12ft can contain.

From the first three designs:

The number of tiles on a complete row and column are always the same.

Design 1 has 3 tiles in its complete row and column

Design 2 has 4 tiles in its complete row and column

Design 3 has 5 tiles in its complete row and column

The relationship between the design number (d) and the number of complete tiles (t) is:

[tex]d = t - 2[/tex]

For the 10ft by 12ft empty sign

[tex]t = 10[/tex] because [tex]10 < 12[/tex]

So, we have:

[tex]d = t - 2[/tex]

[tex]d = 10 - 2[/tex]

[tex]d = 8[/tex]

Hence, the largest design number is design 8

Read more about patterns at:

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5. After paying a tax of 8 palsa per rupee a man saves Rs. 18,400 per month Then his monthly income is 2 Points) 20,000​

Answers

Answer:

92% of Income is  Rs 18400

Step-by-step explanation:

I = 18400/.92 = Rs 20000

factors of 15,17 ,26 & 80​

Answers

Answer:

Factors of 15: 1, 3, 5 and 15.

Factors of 17: 1 and 17.

Factors of 26: 1, 2, 13 and 26

Factors of 80: 1, 2, 4, 8, 10, 20, 40, and 80.

Actually you can find all the answers in the Internet.

Solve for x: 4x + 1/2 (2x + 4) > 12
( 9th grade Algebra 1)

Answers

Answer:

x > 2

Step-by-step explanation:

Distribute and cross-simplify 1/2 with parenthesis

4x + x + 2 > 12

Solve left side

5x + 2 > 12

Subtract 2 from both sides

5x > 10

Divide both sides by 5

x > 2

Someone answer this

Answers

Answer:

1st box is "a 90°clockwise rotation about the origin

2nd box is "a 180° rotation about the origin

3rd box is "a 90° counterclockwise rotation about the origin

Simplify the answer has to be a positive exponent Please help!

Answers

5^4 /5

Use the exponent rule x^a/x^b = x^a-b

5^4/5 = 5^4-1 = 5^3

Answer as a positive exponent is 5^3

1. Which of the following is an example of like
terms?
a. - 16 and - 16x
b. x and x2
C, 50y and y
d. 20a and 2

Answers

the answer shoupd be c

The value of tan1°tan2ºtan3⁰ (a) 0 (b)-1 (c) 1 (d) 2 tan890 is equal to​

Answers

Step-by-step explanation:

Answer-

b) 1

If (x + 4)^2 = 49 and x < 0. what is the value of x?

Answers

Answer:

x = -11

Step-by-step explanation:

To get to 49 by squaring, you need to square 7. Since x can only be negative, you need to get to -7.

-11 + 4 = -7

(-7)^2 = 49

Answer:

x = -11

Step-by-step explanation:

To get to 49 by squaring, you need to square 7. Since x can only be negative, you need to get to -7.

Is the set of real numbers closed under addition? Explain why or why not. If it is not closed, give an example​

Answers

Answer: Yes, the set of real numbers is closed under addition.

Explanation:

Let x and y be two real numbers. Their sum x+y is some other real number. This is what it means when we say the set of real numbers is closed under addition. Taking any two numbers and adding them will get us some other real number.

There is no way to have x+y be nonreal while x,y are both real.

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ᴍᴀᴛʜ ᴇxᴘᴇʀᴛꜱ ᴏɴʟʏ

Answers

Answer:

-3

Step-by-step explanation:

Integers are whole numbers; a number that is not a fraction

Joanne a total score for a round of darts was -42 she had thrown 6 darts and scored the same each throw How many points did Joanne score on each throw

Answers

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Ok, so we know 42 is the number of points added up, and we know that she threw 6 darts all scoring the same. Now, all we have to do is figure out what number(for example x) multiplied by 6 equals 42. Or in the form of an equation:

6x = 42

Now, to finish the equation, all we have to do is divide:

6x/6 = 42/6

42/6 = 7

x = 7

A truck can be rented from Company A for $120 a day plus $0.20 per mile. Company B charges $60 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rentals cost for company A and company B are the same.

please help..

Answers

Answer:

12 miles in a day.

Step-by-step explanation:

Variable x = number of miles

Company A: 120 + 0.20x

Company B: 60 + 0.40x

Set up an equation:

120 + 0.20x = 60 + 0.40x

60 + 0.20x = 0.40x

60 = 0.20x

12 = x

I divide my favorite number by its reciprocal , the quotient is 10 times as large as my favorite number. My favorite number is..

A. 1/10
B. 1/5
C. 1/2
D. 10

Answers

Answer:

1/10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

x is the favorite number

x÷[tex]\frac{1}{x}[/tex] = 10x (flip the fraction and multiply)

[tex]x^{2}[/tex]=10x (divide both sides by x)

x=10

If(2x,x+y)=(y,9)find x and y.

Answers

Answer:

the value of X is 3 and y is 6 .

Factor this polynomial expression.
x2 + 8x + 16
A. (x-8)(x - 2)
B. (x + 4)(x + 4)
C. (x+8)(x+2)
D. (x-4)(x - 4)

Answers

Answer:

I think (x+4) (x+4) is right answer.

Step-by-step explanation:

here,

x2+8x+16

=x2+(4+4)x+ 16

=x2+4x+4x+16

=x(x+4)+4(x+4)

=(x+4)(x+4) Ans

The perimeter of rectangle is 84 feelthe length of the rectangle is twice its width, what are the dimensions (length and width) of the rectangle?

Answers

Answer:

Length = 28

Width = 14

Step-by-step explanation:

14 + 28 = 42

42 x 2 = 84

28 / 14 = 2

2a + 9 = 4 then a = _______

Answers

Answer:

[tex]a=\frac{-5}{2}[/tex]

Step-by-step explanation:

[tex]2a+9=4[/tex]

[tex]2a=4-9[/tex]

[tex]2a=-5[/tex]

[tex]a=\frac{-5}{2}[/tex]

What is the length of AB?

Select the best answer from the choices provided.
A.3.5
B.3
C. 7
D.14

Answers

Root (7^2 + 7^2) = 7root2
It C

The perimeter of an equilateral triangle can be represented by 6x+36. Which of the following expressions represents the length of one of the sides of the triangle?
A. 3(2x+12)
B. 2x+12
C. 6x+33
D. 3x+18

Please help quick!!

Answers

Answer:

2x + 12

Step-by-step explanation:

6x + 36 / 3 =

(6x)/3 + (36)/3 = 2x + 12

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

15 people fit comfortably in a 6 feet by 6 feet area. Use this value to estimate the size o a crowd that is 30 feet deep on both sides of the street along a 2-mile section of a parade route. (Hint: 1mile= 5,280ft)

Answers

158,400 people will fit into an area with a dimension of 30feets by 2 miles.

The area of the street can be calculated thus :

Area = Length × width

Converting the width to feets :

1 mile = 5280 feets

2 miles = x

Cross multiply :

x = 5280 × 2 = 10560 feets

Area = 10560 ft × 30ft = 316800 ft²

Since 15 people fit into an area with dimension which is 6 ft by 6ft

Area = 6 × 6 = 36 ft²

Let x = number of people

15 people = 36 ft²

x people = 316800 ft²

Cross multiply :

x = (316800 × 15) / 36

x = 158,400 people

Hence 158,400 people will fit in.

A similar question can be found here : https://brainly.com/question/13081090

Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate of 5 and point L has a coordinate of 12. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.

Answers

Answer:

D. 216/625

Step-by-step explanation:

The length of the segment JM is 25 units.The segment JL is between 0 and 12, so is 12 units.The segment KL is between 5 and 12, so is 7 units.

The probabilities for each point:

P(point on JL) = 12/25P(point not on KL) = 1 -  7/25 = 18/25

Required probability:

P = 12/25*18/25 = 216/625

Correct choice is D

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