A 12-foot ladder that is leaning against a wall makes a 75.5 degree angle with the level ground.


Which of the following equations can be used to determine the height y, above the ground, in feet, that the ladder touches the wall


A. Sin 75.5 = 12/y

B. Cos 75.5 = y/12

C. Sin 75.5 = y/12

D. Cos 75.5 = 12/y

Answers

Answer 1

Answer:

C. Sin 75,5 = y/12

Step-by-step explanation:

This angle can be calculated using the law of sine:

sin(angle)=opposite cathete/hypothenuse

sin(angle)=wall/ladder

In this exercise we want to calculate the height of the ladder, so the equation is changed afterwards.

sin(angle)=wall/ladder

sin(75,5°)=12ft/y

Answer 2

The height y above the ground in feet is ; (C ) sin 75.5 = y / 12

Determine the equation that can be used to determine y

The ladder, the horizontal ground and the vertical height above the ground form a right angle triangle are ;

The vertical height y = opposite

Length of ladder = hypotenuse

Horizontal ground  = adjacent.

According to trigonometry, sine of an angle is opposite/hypotenuse

sin 75.5 = y/12.

In conclusion, the height y above the ground in feet is sin 75.5 = y / 12.

learn more about right-angled triangle: brainly.com/question/20889881

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Related Questions

Can someone do the work I’m so confused

Answers

Answer:

(1)  n = 9

(2) n = 15

(3) r = -8

Plz mark brainliest:)

Answer:

n=9n=15r=-8

Step-by-step explanation:

1.4=n/9+3

4-3=n/9

1=n/9 cross multiply

2. -7=-8+n/15

-7+8=n/15

1=n/15 Cross multiply

n=15

3.-11=r/2-7

-11+7=r/2

-4=r/2cross multiply

-8=r

r=-8

which number of the solar system has an equatorial diameter of 3.48x10^3 kilometers

Answers

Answer: 21

Step-by-step explanation: I got it right

The difference between of a number q and 8

Answers

It’s written as q-8 I think just because your question is grammatically wrong so if you rewrite the question the answer might differ

square root of 9 on a graph

Answers

Answer:

I think the answer is 3

What is the value of -2xy if x = -1 and y = 6?

8
12
26
-12

Answers

12 would be your answer
-2*-1= 2
2*6=12
so 12

Find the missing number in this sequence
1,0,1,1,0,1,_.1.0.1.1.1.10

Answers

Answer:

0

Step-by-step explanation:

look at the first numbers

Answer:

1,0,1,1,0,1,1,1,0,1,1,1,1,0

hope it helped :)

Step-by-step explanation:

which is more , 1 gallon or 7 pints ,

a. 1 gallon
b. 7 pints
c. nethier ; they are equal

Answers

Answer:A

Step-by-step explanation: 1 Gallon is equal to 8 pints.

Answer:

A

Step-by-step explanation:

pint=1/8 of a gallon

therfor 7 pints = 7/8

7/8<1gal

Write the slope-intercept form of the equation of the line.
-4 - y = -2x
A) y = 4x + 2
C) y = 2x - 4
B) y = -4x + 2
D) y = -2x + 2

Answers

Answer:

c

Step-by-step explanation:

-4 -y = -2x

+4           +4

-y = -2x + 4

multiple everything by -1 to get y by itself

y = 2x - 4

inverse of f(x)=3/2x +6

Answers

Answer:

f(x) = (x - 6)/(3/2)

Step-by-step explanation:

x+12= -5 helpppp meeeee

Answers

Answer:

The answer is -17.

Step-by-step explanation:

Well since the answer turns out to be a negative, one of the numbers has to be negative.(not all cases but for this one, yes)You have to add 12+5 and you get 17. This has to be a negative because the answer is a negative.

Covert 45 1/2 % to a fraction

Answers

455/1000 should be the answer

8^ 1/3 what is it simplified

Answers

Step-by-step explanation:

Simplifying mixed numbers

Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.

Answer:

8^1/3= 2

:-))))

Find the measure of the following angles. Justify your answers.

Answers

Answer:

yes

Step-by-step explanation:

gay by gay

find the slope of the line y=-2/3x

Answers

Answer:

-2/3

Step-by-step explanation:

-2/3

I need help I got 10 minutes to turn in my homework

Answers

Answer: ( 3 + 6*6 )

Step-by-step explanation

6² = 6*6

Answer:

[tex]3^26^2[/tex]

Step-by-step explanation:

One property of exponent says that you can distribute the exponent to the factors. Therefore, the answer would be 3^2*6^2.

Find the value of a

Answers

Answer:

a=60

Step-by-step explanation:

since there are 6 total "a" values (2 angles worth just a, 2 angles worth 2 a)

you divide the total angle number by 6: 360/6=60

a=60

hope this helps!! <3

Please answer this much appreciated.

Answers

Answer:

a = [tex]\frac{h-r}{b}[/tex]

Step-by-step explanation:

Given

h = ab + r ( subtract r from both sides )

h - r = ab ( isolate a by dividing both sides by b )

[tex]\frac{h-r}{b}[/tex] = a

Hope this helps! Encountered the same question today. Have a great day!

A triangle has sides with lengths of 42 millimeters, 43 millimeters, and 58 millimeters. Is it a
right triangle?

Answers

Answer:

No

Step-by-step explanation:

42 x 42 = 1764

43 x 43 = 1849

1764 + 1849 = 3613

and the sqaure roof of 3613 is 60.11

60.11 does not equal 58

so no it is not a right triangle

What is the value of y?

Answers

y = 44

180 - 88 = 92
180 - 92 = 88
88/2 = 44

Help me pleaaaaaaassssssssseeeeeeee

Answers

Answer:

+29

Step-by-step explanation:

(-)(-)=+

Question 1

Sione just landed a great job as an engineer where he will make $55,000 a year. The

company he will work for guarantees a 3% pay increase each year so it's employees

salaries keep up with inflation. At the end of the 1* year Slone will have made $55,000

dollars.

1. What is the recursive function that will represent this situation?

a. m(t) = m(t - 1) + 0.03, m(1) = 55000

b. m(t) = m(t-1). 0.03, m(1) - 55000

c. m(t) = m(t-1) + 1.03, m(1) - 55000

d. m(t) = m(t-1). 1.03, m(1) = 55000

Answers

Answer:

Option (d)

Step-by-step explanation:

If the current salary of Sione is represented by the function m(t - 1),

Next year his salary m(t) gets hike of 3%.

So, the next year salary of Sione will be represented by,

m(t) = m(t - 1) + 3% of m(t - 1)

      = m(t - 1) + 0.03 × m(t - 1)

      = m(t - 1)(1 + 0.03)

      = 1.03m(t - 1)

Since, at the end of year 1 his salary was $55000,

Recursive function will be,

m(t) = 1.03m(t - 1) = 55000

Therefore, Option (d) will be the answer.

simplify the expression: 3x + 7y - 5x + 9x - y

Answers

Step-by-step explanation:

10x+4y.............

Answer:

B. 7x + 6y

Step-by-step explanation:

  3x + 7y -5x +9x -y

= (3x - 5x +9x) + (7y - y)

= 7x + 6y

The cast of renting a DVD is 1.50 per day(d). Which function represents the cost of renting the DVD?

Answers

Answer:

1.50(d)=p

Step-by-step explanation:

3) How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?

(a) $44.00 (b)$47.00 (c)$53.00 (d)$56.00​

Answers

C it the right answe

Identify the coefficient in each term

5. 4x^3

6. y^3

7. 2n^7

8. -s^4

Answers

Answer:

5. 4

6. 1

7. 2

8. -1

Step-by-step explanation:

Coefficient is usually the whole number in the beginning. I believe 5-7 are correct. I'm a little iffy about 8. Good luck!

Find the unit rate.
9 pounds per 6 crates
Ib per crate

Answers

Answer:

1.5

Step-by-step explanation:

I solved it and got it right

Answer: 1.5 pounds per crate

Suppose each day that you drive to work a traffic light that you encounter is either green with probability 3/8, red with probability 1/2, or yellow with probability 1/8, independent of the status of the light on any other day. If over the course of five days, G, Y, and R denote the number of times the light is found to be green, yellow, or red, respectively, what is the probability that P[G=2, Y=1, R=2] ? Also, what is the probability P[G=R]? [15%]. Hint: consider sequences possible in a five-day observations

Answers

Answer:

a

[tex]P(G = 2 ,  Y= 1 , R = 2) = 0.13184 [/tex]

b

[tex]P(G = R ) =  0.13919  [/tex]

Step-by-step explanation:

From the question we are told that

   The probability of the traffic light being green is [tex]p_g = \frac{3}{8}[/tex]

   The probability of the traffic light being red is  [tex]p_r = \frac{1}{2}[/tex]

   The probability of the traffic light being yellow is  [tex]p_y = \frac{1}{8}[/tex]

   The number of days of observation is n = 5

Generally the probability distribution function for a multinomial distribution is mathematically represented as

          [tex]Pr( X_1 = x_1 \ and \ . . .  \ and  \  X_k =x_k) =  \left \{ {{ \frac{n!}{x_1 ! , . . . x_k !} p_1^{x_1} * \cdots *p_k^{x_k} \ \ \ \ \ \ \  when \  \sum x_i = n } \atop {0 }\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  \ \ \ \ \    otherwise  \ } \right[/tex]

Generally the probability that P[G=2, Y=1, R=2]

     [tex]P(G = 2 ,  Y= 1 , R = 2) = \frac{5!}{ 2! * 1! * 2!} *  [\frac{3}{8} ]^2 * [\frac{1}{8} ]^1 * [\frac{1}{2} ] ^2[/tex]

=> [tex]P(G = 2 ,  Y= 1 , R = 2) = 0.13184 [/tex]

Generally the probability that P[G=R] is mathematically represented as

          [tex]P(G = R ) =  P( G =  2 ,  Y = 1 ,  R = 2) + P( G =  0 ,  Y = 5 ,  R = 0)+ P( G =  1 ,  Y = 3 ,  R = 1)[/tex]

Here

    [tex] P( G =  0 ,  Y = 5 ,  R = 0) =  \frac{5!}{ 0! * 5! * 0!} *  [\frac{3}{8} ]^0 * [\frac{1}{8} ]^5 * [\frac{1}{2} ] ^0[/tex]

    [tex] P( G =  0 ,  Y = 5 ,  R = 0) =  0.0000305176 [/tex]

Also  

     [tex] P( G =  1 ,  Y = 3 ,  R = 1)=  \frac{5!}{ 1! * 3! * 1!} *  [\frac{3}{8} ]^1 * [\frac{1}{8} ]^3 * [\frac{1}{2} ] ^1[/tex]

    [tex] P( G =  1 ,  Y = 3 ,  R = 1)=  0.0073242 [/tex]  

[tex]P(G = R ) =  0.13184 +  0.0000305176+ 0.0073242 [/tex]

[tex]P(G = R ) =  0.13919  [/tex]

Wht Is a fraction equivalent to 0.4 repeating its self

Answers

4/10 ...................

4/9 is the answer

hope this helps

anybody know this question dont answer if its not right

Answers

Answer:

5

Step-by-step explanation:

9×5/9=45/9

=5

just multiply the stuff in parantheses and then add and then divide.

Answer:

5

Step-by-step explanation:

3^2*(2+3); 9*5=45

(2+1)*3; (3)*3=9

So 45/9 =5

OPENER: Select all the names for the answers to a polynomial equation
(Select all that apply.)
Solutions
y-intercepts
Roots
points
Stems
x-intercepts
intersections
finite
Zeros

Answers

Roots stems finite solution
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