Find x. Round to the nearest tenth: 29 500 ft

Answers

Answer 1

Answer:

437.3ft

Step-by-step explanation:

last of sines

a/sin(A) = b/sin(B) = c/sin(C)

sin(90) = 1

the angle between y and 500ft side is 90-29 = 61 degrees.

so,

x/sin(61) = 500/1 = 500

x = 500 × sin(61) = 437.3ft

Answer 2

In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

What is trigonometric ratio?

"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."

Formula used

[tex]sin\theta = \frac{opposite sides}{hypotenuse}[/tex]

[tex]cos\theta = \frac{adjacent sides}{hypotenuse}[/tex]

According to the question,

In a given right triangle ABC,

Hypotenuse [tex]=500 ft[/tex]

Opposite side [tex]= x ft[/tex]

Adjacent side [tex]= y ft[/tex]

As per the diagram drawn,

 [tex]\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°[/tex]

Substitute the value in the above trigonometric ratio formula we get,

[tex]sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft[/tex]

[tex]\implies x = 435.4 ft[/tex] (round to nearest tenth)

In trigonometric ratio [tex]cos\theta[/tex] we get,

[tex]cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft[/tex]

Hence , In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

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Related Questions

What are the quartiles of the data represented by the box-and-whiskers graph shown.

23, 26, 28, 30.5
26, 28.5, 30.5, 35
23, 26, 28.5, 31.5
26, 28.5, 32.5, 34

Answers

Answer: 26 and 31.5

Step-by-step explanation: it litterally shows it in the picture

Use square roots to solve the following quadratic equation.
Write your answers from least to greatest with a comma and
space separating each answer. For example: 4,9
m2 - 4 = 77

Answers

M^2=77+4
M^2=81
Square root of M= square root of 81
M=+ or - 9
M=-9,9

what is [tex]hx^{8}[/tex] x [tex]hx^{-9}[/tex] simplified

Answers

Answer:

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}[/tex]

the sum of five consecutive numbers is 700, what is the first number?

Answers

Answer:

The first number is 138.

Step-by-step explanation:

Let the first number be x.

Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).

We are given that their sum is 700. Therefore:

[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]

Solve for x. Combine like terms:

[tex]5x+10=700[/tex]

Subtract 10 from both sides:

[tex]5x=690[/tex]

Divide both sides by five. Therefore:

[tex]x=138[/tex]

The first number is 138.

Answer:

138

Step-by-step explanation:

(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700

5n + 10 = 700

5n = 690

n = 138

which one is your favorite (only one) between the second one or the third one the bottom left​

Answers

Answer:

I would go with the third one (the one on the bottom left) since that seems like me lol

Carl can paint a room 3 hours faster than Jennifer can. If they work together, they can complete the job in 2 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jennifer to complete this job on her ow

Answers

Answer:

If they would both work at the same speed they would each take 4 hours to complete the room. So in total they would work 8 hours. But because Carl can finish three hours before Jennifer 3 hours of the eight already got to Jennifer. Then we divide the resting 5 hours by the two and then we have:

Jennifer:

3+2,5=5,5

Carl:

2,5

( if I am right)

Please help me!!!!!!

Answers

Answer:

Step-by-step explanation:

If the coordinates are (0, a) and (b, 0), we just use the distance formula to find the distance in terms of a and b:

[tex]d=\sqrt{(0-a)^2+(b-0)^2}[/tex] and

[tex]d=\sqrt{(-a)^2+b^2}[/tex] which simplifies to

[tex]d=\sqrt{a^2+b^2}[/tex]

and that's it!

1.8,1.35,2.5, squat root of 5 in least to greatest

Answers

Answer: 1.35, 2.5, 1.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 2.5^=97.6

2) 1.8^5= 18.8

3) 1.35^5=4.4

or

1) 2.50

2) 1.80

3) 1.35

Which type of graph would be best for showing the height of a sapling tree over the span of several weeks?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answers

Answer:

its actually d

Step-by-step explanation:

it compares height to time

Diana is going to spin this spinner one time. What is the probability that she will spin a D compared to the probability that she will spin an F? A. Equally likely B. Less likely C. Certain D. Impossible

Answers

The answer is B. Less likely

According to a survey, about 30% of people ages 18 and older in a city have a cat. You ask 5 randomly chosen people (ages 18 and older) whether they have a cat. What is the probability that at least 2 people have a cat? Round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

When they ask what the prob that at most 3/4 people asked have a pet, they are asking what is the prob that 0, 1, 2, or 3 people answer yes. So you could calculate all 4 of those and then add them together.

However, in this case, since there's only 1 other possible outcome (all 4 have a pet), we could just calculate the prob of that and subtract it from 1 to get the prob of everything else happening.

We'll use the binomial distribution formula where n=4, k=4, and P=.6.

nCk * P^n * (1-P)^(n-k)4C4 * (.6)^4 * (.4)^0.1296

So the prob of at least 3 having pets = 1 - P(all 4 have pets) which is 1-.1296 = .8704.  You could double check this by calculating the prob of the other 4 outcomes and then adding them together.

The probability that at least 2 people have a cat is 0.522 or 52.2%.

What is probability?

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

This is a problem that can be solved using the binomial probability formula, which gives the probability of getting exactly k successes (in this case, people with cats) out of n trials (in this case, people you ask) with a probability of success (in this case, having a cat) of p.

The formula is:

P(k) = (n choose k) × [tex]p^k \times (1-p)^{(n-k)}[/tex]

where (n choose k) is the binomial coefficient, which is equal to n! / (k! × (n-k)!).

For this problem, n = 5 (the number of people you ask), k = 2 (the number of people who have cats), and p = 0.3 (the probability of a person having a cat, according to the survey).

P(2) = (5 choose 2) × 0.3² × 0.7³

P(2) = 0.252

To find the probability of at least 2 people having a cat, we have to add up the probability of getting exactly 2, 3, 4, and 5 people having cats.

P(≥2) = P(2) + P(3) + P(4) + P(5)

Substituting the values we get:

P(≥2) = 0.252 + 0.189 + 0.072 + 0.009 = 0.522

So, the probability that at least 2 people have a cat is 0.522 or 52.2%.

Learn more about probability here:

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JOURNAL 5.3.4.

PLZZZ HELP, I NEED 1-9

Answers

Answer:

8?

Step-by-step explanation:

I would like some help pleas ​

Answers

Answer:

Step-by-step explanation:

Student who did not play Volleyball  = Students who play only hockey + students who don't play any game

= 5 + 3 = 8

Students who play hockey only = 5

sum of two integers is -234
If one of them
is 57. find the other.​

Answers

Answer:

the answer is -281

Step-by-step explanation:

x+57=-234

x= -57-234

x= -281

Answer:

x+57

x=234-57= 177 I hope it will help you please follow me

Mercury is at a distance of 46213267 km from the sun. If the value of this area is rounded off to the nearest one hundred, then the result would be .

Answers

Answer:

46,213,300 km

Step-by-step explanation:

46,213,267

in the above number ;

7 = units

6 = tens

2 = hundred

3 = thousand

1 = ten thousand

2 = hundred thousand

6 = million

4 = 10 million

to round off to the nearest hundred, look at the number in the tens (6). If this number is greater than or equal to 5, add 1 to the hundreds unit, if this is not the case, add zero

because  6 is greater than 5, add one to the hundred value

= 46,213,300 km

8u^8+(-21u^8)
Helpppp quick

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{8u^8 + (-21u^8)}\\\mathsf{= 8u^2 - 21u^8}\\\large\textsf{COMBINE the LIKE TERMS}\\\mathsf{=(8u^8 - 21u^8)}\\\mathsf{= 8 - 21\rightarrow\boxed{\bf -13}}\\\mathsf{= 8u^2 - 21u^8 \rightarrow \bf -13u^8}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf -13u}\bf ^2}}\huge\checkmark\\\\\\\\\large\textsf{Good luck on your assignment and enjoy your day!}\\\\\\\frak{Amphitrite1040:)}[/tex]

Solve for R.

3/4r-3 1/4=49/16

Answers

Answer:

101/12

Step-by-step explanation:

3/4r-3 1/4=49/16

3 1/4=13/4

3/4r-13/4=49/16

3/4r=49/16+13/4

3/4r=49/16+52/16

3/4r=101/16

r=(101/16)/(3/4)

r=(101/16)(4/3)

r=101/12

Question 2 of 10
f(x)=3✅x+11. Find the inverse of f(x).
A. f-1(x) = x^3 +11
B. f-1() = x^3 - 11
c. f-1(x) = (x +11)^3
D. f-1(x) = (x– 11)^3
SUBMIT

Answers

C I think I just have the test
Option b

y = 3/x + 11
Switch x and y

x = 3/y + 11
Cube both sides

x^3 = y + 11
Subtract 11

y = x^3 - 11

Ophelia spins each of the three shown spinners once. What is the
probability that the first spinner will land on A, the second on 4, and the
third on Green? Enter your answer as a fraction in simplest form. Use/to
write your fraction,

Answers

Answer:

jaja

yo buscando y vos preguntando

Step-by-step explanation:

Which table shows a function that is increasing only over the interval (–2, 1), and nowhere else?

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Any feature increases when y-value should likewise be increased for the growth of x-values

Each table will be checked

table-1:

That we can see

-3, -2,-1 , 0, 1,2 x increase

And also -6,-3,-1,1,3,6 y increase 

It increases, thus,

table-2:

That we can see

-3, -2,-1 , 0, 1,2 x increase

But between -2 and 1, it's asking

The y-values of -4,-1,1,4..... are increasing

This increases, thus,

table-3:

Which we can see

-3, -2,-1 , 0, 1,2 x increase

But y changes between -3 and -5 .....this decreases

This does not increase, thus,

table-4:

we can find that the x increase to -3, -2, -1, 0, 1,2 however y rises from 7 to 1.....

This does not increase, thus,

Answer:

B

Step-by-step explanation:

Graph the following system of inequalities.
y ≤2x + 1
y < -1 - 1

Answers

Answer:

Step-by-step explanation:

the first one is the first picture

Plz help, I will give the brainliest to the most educated answer

Answers

Answer:  h (B1 + B2/2

 

Step-by-step explanation:

Quadrilateral ABCD was transformed to create A'B'C'D'. If A'B'C'D' is reflected over the y-axis, what will be the coordinates of D''?

A.(-2, -3)
B.(-2, 3)
C.(2, -3)
D.(2, 3)

Answers

Answer:

well it would reflect over the y axis and make the x cords all negative making D(-2,-3) so A is the answer

What is the GCF of the polynomial below?

14x3 + 35x2 - 21x

Answers

Answer:

7x

Step-by-step explanation:

what is a an expression that contains at least one variable

Answers

Answer:

An algebraic expression is a type of expression that contains a variable or variables.

an algebraic expression can contain multiple expressions

What is the value of x? Enter your answer in the box. pe X=​

Answers

Answer:

x = 26

Step-by-step explanation:

x+64 is a right angle

x+64 = 90

Subtract 64 from each side

x = 90-64

x = 26

Answer:

x = 26°.

Step-by-step explanation:

This is a complementary angle. Complementary angles are two angles that have a sum of 90°.

[tex]90-64=26.[/tex]

[tex]26+64=90.[/tex]

[tex]x=26.[/tex]

Find the distance between each pair points

Answers

Message me the calculations

Hey there! Can someone tell me the answer please? Will give brainliest.

Answers

Answer:

24 edges, 24 vertices, 8 faces - For that weird Cylender thing.

Step-by-step explanation:

There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.

Answer:

There are 6 faces

One up one down one front one backs one right one left

12 edges and 8 ventricles

In a specific arithmetic sequence, if -4 is the first term and 10 is the third term, which term is 157?

Answers

Step-by-step explanation:

everything can be found in the picture

The nth term of an arithmetic sequence is expressed as Tn = a +(n - 1)d. The 157th term of the sequence is 2180

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn = a +(n - 1)d

where

a is the first termd is the common differencen is the number of terms

If -4 is the first term and 10 is the third term, then;

a = -4

a + d = 10

d = 10 - (-4)

d = 14

Determine the 157th term

T157 = -4 + (157 - 1)(14)

T157 = -4 + (156*14)

T157 = 2180

Hence the 157th term of the sequence is 2180

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Question on image. (5)

will report answers out of question. Thank you

Answers

Answer:

AD = 6

Step-by-step explanation:

If a radius is perpendicular to a chord, then it bisects the chord.

Here XB is the radius, AC is the chord. Given XB and AC are perpendicular to each other. Therefore, XB bisects AC at D.

So,

    [tex]AD = \frac{1}{2} \times AC = \frac{1}{2} \times 12 = 6[/tex]

         

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