What trigonometric ratio would you use to find the distance from the base of the tower of your keys ? Identify your choice, then calculate the distance

What Trigonometric Ratio Would You Use To Find The Distance From The Base Of The Tower Of Your Keys ?

Answers

Answer 1

The choice trigonometric ratio is tangent and the distance is 3. 98 meters.

How to determine the trigonometric ratio

The given angle is 86

The opposite side is given as 57 meters

The distance is in the adjacent

Thus, trigonometric ratio to use is the tangent

Tangent = opposite/ adjacent

We have,

tan 86 = 57/x

14. 300 = 57/x

x = 57/ 14. 300

x = 3.i 98 meters

Thus, the choice trigonometric ratio is tangent and the distance is 3. 98 meters.

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Related Questions

Graph the image of this figure after a dilation with a scale factor of 1/2 centered at the point (−3, 0).



Use the polygon tool to graph the dilated figure.

(See attached image for details.)

Answers

The vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

How to graph the dilated image?

The given parameters are:

Center, (a, b) = (-3, 0)

Scale factor, k = 1/2

The vertices of the figure are

(5,4), (-5, 4) and (3,8)

The rule of dilation is represented as:

(x, y) ⇒ (k(x -a), k(y -b))

So, we have:

Point (5,4)

(x, y) ⇒ (1/2(5 + 3), 1/2(4 -0))

(x, y) ⇒ (4, 2)

Point (-5,4)

(x, y) ⇒ (1/2(-5 + 3), 1/2(4 -0))

(x, y) ⇒ (-1, 2)

Point (3,8)

(x, y) ⇒ (1/2(3 + 3), 1/2(8 -0))

(x, y) ⇒ (3, 4)

So, the vertices of the image of dilation are (4, 2), (-1, 2) and (3, 4)

See attachment for the image

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Quadrilateral VWXY is a parallelogram. Find the measure of V

Answers

Answer: B) 120°

Step-by-Step Solution:

In a Parallelogram, adjacent or consecutive angles are Supplementary.
In the given figure, ∠V + ∠Y = 180°

Therefore,

∠V + ∠Y = 180°
∠V + 60° = 180°
∠V = 180° - 60°
=> ∠V = 120°

Therefore, ∠V = 120°

You have 200$ allocated for your gym membership. what is the maximum number of visits you can make with each membership??

Answers

The maximum number of visits you can make with each membership is 104.

What is gym membership?

Gym membership refers to the cost to register, attend, and use a gym as a member for an agreed period.

Some gym memberships require one-time payments made monthly or annually.

Question Completion:

Assume that the annual gym fee is $200 for Saturdays and Sundays only.

Thus, in this scenario, the maximum number of visits you can make with each membership is 104.

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Dr. Smith and Dr. Jones want to study the effects on a patient's arthritis that curl in the patient believes that he was she use a new ointment the control group consists of the patient who chooses to visit Dr. Smith about arthritis and they receiving an appointment with no medical value the experimental group consists of the patients who chooses to visit Dr. Jones about the right s and they receive the new ointments is this study experimental or observational

Answers

Answer:I think observational

Step-by-step explanation:They want to study it so they trying it on people who are willing so they are looking closely to what happens.

you are in charge of buying the soda and paper plates for a party. The soda costs $3 per case and the paper plates cost $4 per stack. you have no more than $25 to spend.

Answers

The inequalities that define the given conditions are,[tex]4x+3y \leq25[/tex].Option A is correct.

What is the definition of inequality?

Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.

Given data;

Soda costs =  $3 per case

Paper plates  = $4 per stac

The maximum amount of money you can spend  is $25

x = the number of cases of soda

y = the number of stacks of paper plates.

The inequalities that define the given conditions are;

[tex]4x+3y \leq25[/tex]

Hence, option A is correct.

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Find the number of turns or bumps in the graph of the function f(x) = x² - 25

Answers

Answer:

1 turn

Step-by-step explanation:

this is what the graph would look like:

which inequality is equivalent to the given equality of -4(x+7)<3(x-2)

Answers

Answer:

x > 22/7

_________________________________________

Notice*

Because there are no options, we must find it algebraically.

_____________________________________________

Let's solve your inequality step-by-step.

−4(x+7)<3(x−2)

Step 1: Simplify both sides of the inequality.

−4x−28<3x−6

Step 2: Subtract 3x from both sides.

−4x−28−3x<3x−6−3x

−7x−28<−6

Step 3: Add 28 to both sides.

−7x−28+28<−6+28

−7x<22

Step 4: Divide both sides by -7.

-7x/-7 = 22/-7

x > -22/7

Answer:

x > −22/7

Jej pls help i need my brother help

Answers

Answer:

[tex]\mathsf {\frac{17}{10}}[/tex]

Step-by-step explanation:

[tex]\mathsf {2\frac{2}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]

[tex]\mathsf {\frac{8}{3} + \frac{14}{5} + ? = \frac{43}{6} }[/tex]

Take the LCM (common denominator) to be 30.

[tex]\mathsf {\frac{80}{30} + \frac{84}{30} + ? = \frac{215}{30} }[/tex]

Bring the known values to the RHS.

[tex]\mathsf {? = \frac{215}{30} - \frac{164}{30} }[/tex]

[tex]\mathsf {? = \frac{51}{30}}[/tex]

[tex]\implies \mathsf {\frac{17}{10}}[/tex]

Let that be x

2 2/3=8/3

Now

[tex]\\ \rm\rightarrowtail \dfrac{8}{3}+\dfrac{14}{5}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{40+42}{15}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{82}{15}+x=\dfrac{43}{6}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{43}{6}-\dfrac{82}{15}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{215-164}{30}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{51}{30}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{17}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=1\dfrac{7}{10}[/tex]

Lyanna opens a bank account with a deposit of $200. She earns 3%
interest per year. How much money will Lyanna have in her account after
the first year?

Answers

Answer:

$206

Step-by-step explanation:

Lyanna will earn 3% on her capital within 1 year.
In total, she will have 103%.
$200 x 103% = $206

solve 3(10)^x = 30,000

Answers

Answer: x = 4

Step-by-step explanation:

We will need to use logs here...

First divide each side by 3

[tex]3(10)^x=30000[/tex]

[tex]10^x=10000[/tex]

Then take the log of each side

Keep in mind that [tex]log_{10} (10)[/tex] gets canceled out to leave x

[tex]log_{10} (10^x)=log(10000)[/tex]

Finally, log(10000) = 4 because [tex]10^4=10000[/tex]

[tex]x = 4[/tex]

Try to get x isolated on one side.
Divide by 3 on both sides.
(10)^x = 10,000
Count how many zeroes there are in the number 10,000. There are 4 zeroes, therefore 10 was raised to the 4th power to get to 10,000.
That means “x” is 4. Hope this helps :)

Members of a lacrosse team raised $2412.50 to go to a tournament. They rented a bus for $1072.50 and budgeted $67 per player for meals. Determine the number of players the team can bring to the tournament. Please step by step

Answers

Answer:

20 Players

Step-by-step explanation:

Total Amount of Money: $2412.50

First the team rented us a bus for $1072.50

Subtract the bus from the total

$2412.50 - $1072.50 = $1340

Total Amount of Money after bus: $1340

From there we need to find the max number of players that can go.

The budget cost for each player is $67.

So we divide the remaining money by $67 to find the number of players that can go.

$1340/$67 = 20 Players.

Please mark brainliest and click thanks.

Hope this helps!

Given g of x equals cube root of the quantity x minus 3, on what interval is the function positive?

Answers

The function g(x) = ∛(x -3) is positive at the interval x > 3

Complete question

Given g(x) = ∛(x -3), on what interval is the function positive?

How to determine the positive interval?

The function is given as:

g(x) = ∛(x -3)

Set the radicand to positive

x - 3 > 0

Add 3 to both sides

x > 3

Hence, the function is positive at the interval x > 3

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vincent mows 8 lawns in 2 hours. how many lawns are mowed in 5 hours .

Answers

Vincent mowed 20 lawns in 5 hours

Answer:

20 lawns

Step-by-step explanation:

Which inequality describes the acceptable weights for the suitcase?
x≤ 32.5 or x ≤ 47.5
32.52x2 47.5
x≤ 32.5 or x ≥ 47.5
32.5 ≤ x ≤ 47.5

Answers

Based on the given options, the inequality for the acceptable weights of the suitcase is 32.5 ≤ x ≤ 47.5.

What is the acceptable weight for the suitcase?

You didn't include the full question but this question can be answered based on the given options.

When inequalities are written, there is no inclusion of "or" which eliminates options A and C.

It is illogical to have an inequality as 32.5 ≥ x ≥ 47.5. This is because if 32.5 is larger or equal to x, then x cannot be larger than 47.5. This is mathematically impossible.

This leaves the likely answer as 32.5 ≤ x ≤ 47.5 which means that the weight of the suitcase has to be larger than or equal to 32.5 but less than or equal to 47.5.

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Answer:

32.5 ≤ x ≤ 47.5

Step-by-step explanation:

The lottery in our state consists of two drawings. first, a megaball is picked from among 27 numbered balls. second, five winnerballs are picked from among 44 numbered balls. to win the lottery, you must pick the megaball number correctly and also pick the numbers on the five winnerballs (but you don't need to get the order right for the winnerballs). what is the probability that the ticket i hold has the winning numbers

Answers

Using the combination formula, it is found that the probability that the ticket i hold has the winning numbers is:

[tex]p = \frac{1}{29,322,216}[/tex].

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

For the winnerballs, 5 balls are taken from a set of 44, hence:

[tex]C_{44,5} = \frac{44!}{5!39!} = 1086008[/tex]

Considering the numbered balls, the number of outcomes is given by:

N = 27 x 1086008 = 29,322,216.

Hence the probability is given by:

[tex]p = \frac{1}{29,322,216}[/tex].

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A restaurant offers a​ $12 dinner special that has choices for an​ appetizer, choices for an​ entrée, and choices for a dessert. How many different meals are available when you select an​ appetizer, an​ entrée, and a​ dessert?.

Answers

Answer:

4 is my answer:))))) maybe this will help

Answer:

1

Step-by-step explanation:

it depends on how many choices there are

If there is 1 choice for an appetizer, 1 choice for an entrée, and 1 choice for a dessert

(1 * 1 * 1 = 1)

then there is 1 meal choice

If there are 7 choices of appetizers, 12 choices of entrée, and 6 choices of dessert.

(7 * 12 * 6 = 504)

then there are 504 different options

If there are 5 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert

(5 * 12 * 3 = 180)

then there are 180 options

12 choices for entrées, 10 choices for side dishes, and 6 choices for dessert

(12 * 10 * 6 = 3240)

then there are 3240 meal options

you have to multiply the number of entrées (e), meals (m), and desserts (d)

e * m * d = x

you are solving for x, which is the different meals available aka your answer.

so plug in the numbers and that should give you the answer!

hope this helps:)

Hi 6 questions ! They are practice so shouldn’t be to hard!
Please fine the slope through the given points

Answers

Answer:

1. 1

2. 6/5

5. 0

6. -1/2

9. -1

10. 0

Step-by-step explanation:

Well you should just the slope formula (y2-y1)/(x2-x1)

1. (8-5)/(0-(-3)) = 3/3 = 1

2. (-3-(-9))/(4-(-1)) = 6/5

5. (3 - 3) / (0-2.5)  = 0/(-2.5) = 0

6. (0-(-4))/(0-8) = 4/(-8) = -1/2

9. (4-1)/(9-12) = 3/(-3) = -1

10. (7-7) / (1-(-5)) = 0/6 = 0

A package of 12 hex bolts and 10 anchor bolts weighs 7 pounds. A second package of 5
hex bolts and 15 anchor bolts weighs 4 pounds. A single hex bolt weighs ___________
pounds, rounded to one decimal place

Answers

Answer:

0.5

Step-by-step explanation:

Let h = weight of 1 hex bolt Let a = weight of an one anchor bolt

1)  (12h + 10a = 7) × 3  ⇒ (1) 36h + 30a = 21

2)  (5h + 15 = 4) × -2 ⇒ + (2)  - 10h - 30a = 8

                                             ----------------------

                                                 26h  =   13

                                                 -----         -----

                                                  26          26

                                                 

                                          h = 13    ÷ 13

                                                  ---

                                                 26  ÷  13

                               

                                          h = 1

                                              ----          =  0.5

                                                 2

Answer:

1 hex bolt weight 0.5 lbs.

Hii! I need some help, would anyone mind helping me?
Find the center of this hyperbola.
[tex]\boldsymbol{x^2-25y^2-14x+100y-76=0}[/tex]
[tex]\stackrel\bigstar{\boldsymbol{\underbrace{Thankyou!!}}}[/tex]

Answers

Step-by-step explanation:

[tex] {x}^{2} - 14x - 25 {y}^{2} + 100y = 76[/tex]

Factor by grouping,

[tex]( {x}^{2} - 14x) - (25 {y}^{2} - 100y) = 76[/tex]

Complete the square, with the x variables,

[tex]( {x}^{2} - 14x + 49) - (25 {y}^{2} - 100y) = 125[/tex]

Factor out 25 for the y variables

[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y) = 125[/tex]

Complete the square

[tex]( {x}^{2} - 14x + 49) - 25( {y}^{2} - 4y + 4) = 25[/tex]

Simplify the perfect square trinomial

[tex](x - 7) {}^{2} - 25(y - 2) {}^{2} = 25[/tex]

Make the right side be 1 so divide everything by 25.

[tex] \frac{(x - 7) {}^{2} }{25} - (y - 2) {}^{2} = 1[/tex]

Here our center is (7,2).

10. A In the adjoining Figure, ab is perpendicular to bc and ed is to cd while bc=cd . prove i) triangle abc is corresponding to triangle edc
ii)ab = cd

Answers

Part (i)

1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)

2) Angles ABC and CDE are right angles (perpendicular lines form right angles)

3) Angles ABC and CDE are equal (all right angles are equal)

4) Angles ACB and DCE are equal (vertical angles are equal)

5) Triangles ABC and EDC are congruent (ASA)

Part (ii)

6) AB = DE (corresponding parts of congruent triangles are equal)

Which of the following expressions are equivalent to - -13/12

A. -13/-12

B. 13/-12

C. None of the above

Answers

If is -(-13/12) then A. -13/-12

If is -13/12 then B. 13/-12

[tex]-\dfrac{-13}{12}=\dfrac{-13}{-12}=\dfrac{13}{12}\\\\\dfrac{-13}{12}=-\dfrac{13}{12}=\dfrac{13}{-12}[/tex]

Which statement about the polynomial function g(x) is true?

1If all rational roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.

2If all roots of g(x) = 0 are integers, the leading coefficient of g(x) must be 1.

3If the leading coefficient of g(x) is 1, all rational roots of g(x) = 0 must be integers.

4If the leading coefficient of g(x) is 1, all roots of g(x) = 0 must be integers.

Answers

When leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

What is a Polynomial Function ?

Functions of independent variable in which the variable can appear more than once with different powers.

[tex]\rm g(x) = a_n x^n + a_{n-1}x^{n-1} + ................+ a_o[/tex]

Let this represents the polynomial function

where [tex]\rm a_n \; is\;the \;leading \; coefficient \; a_o \; is \;the\;last \;term[/tex]

Then the according to rational root theorem ,

The root of the function is given by

[tex]\rm \dfrac{p}{q} = \dfrac{factor \;of\; the\; last\; term}{factor \;of \;the\; leading coefficient}[/tex]

So when leading coefficient is 1 , the root will be an integer for g(x) = 0

Option 4 is the right answer.

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Hey y’all I need this answer quickly!!!

3/4 - 1/5

Answers

Answer:

[tex]\sf \dfrac{11}{20} \quad or \quad 0.55[/tex]

Explanation:

[tex]\rightarrow \sf \dfrac{3}{4} - \dfrac{1}{5}[/tex]

make the denominators same by lcm

[tex]\rightarrow \sf \dfrac{5(3)}{20} - \dfrac{4(1)}{20}[/tex]

expand the following

[tex]\rightarrow \sf \dfrac{15}{20} - \dfrac{4}{20}[/tex]

Join the fractions together

[tex]\rightarrow \sf \dfrac{15-4}{20}[/tex]

Subtract the integers

[tex]\rightarrow \sf \dfrac{11}{20} \quad or \quad 0.55[/tex]

Answer:

11/20 or 0 whole 11/20 or 0.55

Step-by-step explanation:

[tex]3/4 - 1/5[/tex]

Find the least common multiple (LCM) of 4 and 5 at first:

We can't do the LCM of 5 and 4,so just multiply them, 5*4 = 20

Now,

For 3/4 : divide 20 by 4,then multiply the result by 3.For 1/5 : divide 20 by 4, then multiply the result by 1. Simple!

[tex] \cfrac{15 - 4}{20} [/tex]

Subtracting the numerators,

[tex] \boxed{\cfrac{11}{20} }[/tex]

As a whole number:

[tex]\boxed{0 \cfrac{11}{20} }[/tex]

As a decimal:

[tex]\boxed{0.55 }[/tex]

The scatter plot shows the number of households, in millions, that have cable television over eight consecutive years. Which of the following is an appropriate line of best fit?

Answers

The equation of the appropriate line of best fit is y = 1.25x + 2

How to determine the line of best fit?

Start by drawing a line through the points (see attachment)

From the attached graph, we have:

(x, y) = (0,2) and (4,6.5)

Calculate the slope (m) using:

m = (y2 - y1)/(x2 - x1)

This gives

m = (6.5 - 4)/(2 - 0)

Evaluate

m = 1.25

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1.25(x - 0) + 2

Expand

y = 1.25x + 2

Hence, the equation of the appropriate line of best fit is y = 1.25x + 2

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what is the simiplyfly for this -8(-3)

Answers

Answer:

24

Step-by-step explanation:

when you open up the parenthesis, you get -8x-3 which is 24.

negative x negative = positive

I am having some problem can anyone please help me out to do this math.

(x + 3)(x + 4)​

Answers

Answer:

x^2 + 7x + 12

Step-by-step explanation:

This is a product of two binomials.  There's a formula:  

(a + b)(c + d) = ac + ad + bc + bd.

Therefore, (x + 3)(x + 4)​ = x^2 + 3x + 4x + 12  =  x^2 + 7x + 12

If [tex] \rm log_{3}( |5 - 2x| ) > 4[/tex] then x lies in interval of :
i)
[tex] ( - 43 \: , \: 38)[/tex]
ii)
[tex]( - \infty \: , \: 38 ) \cup(43 \: , \: \infty )[/tex]
iii)
[tex]( - 38 \: , \: 43)[/tex]
iv)
[tex]( - \infty \: , \: - 43) \cup(38 \: , \: \infty )[/tex]

Answers

[tex]\log_3|5-2x| > 4\\\log_3|5-2x| > \log_33^4\\|5-2x| > 3^4\\|5-2x| > 81\\5-2x > 81 \vee 5-2x < -81\\2x < -76 \vee 2x > 86\\x < -38 \vee x > 43\\x\in(-\infty,-38)\cup(43,\infty)[/tex]

The diameter of a circle is 62cm

by first calculating the radius work out the area of the circle
give your answer in cm² to 1.d.p

Answers

Answer is 3017.5 cm^2
Reason

We know diameter is 62
Radius (r) is 1/2 of diameter so r=31

Formula for area
A= pi r^2
Fill in what we know
A= (3.14) (31^2)
Multiply
A=3017.54
Round to 1 dp
A= 3017.5

The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
(−5, 41)
(−5, 56)
(−5, 76)
(−5, 91)

Answers

Answer:

the graph of f(x)= -2-10x+16

Answer:

the vertex would be (-5,41)

Step-by-step explanation:

You just plug the -5 back into the equation to get 41

Compare the quantity in Column A with the quantity in Column B.
Column A Column B
slope of y = 3 slope of x = 3

The quantity in Column A is greater.
The quantity in Column B is greater.
The two quantities are equal.
The relationship cannot be determined on the basis of the information supplied.

Keep in mind that one is talking about the slope of y and one is about the slope of x. One has no slope and one has an undefined slope. So is it D? Does anyone know the answer to this question?

Answers

Compare the quantity in Column A with the quantity in Column B.

Column A Column B, The two quantities are equal.

What is the slope?

Generally, the surface that has one end or side that is higher than the other (or vice versa); is a surface that slopes up or down.

In conclusion, Compare the number in Column A with the number in Column B.

The two amounts are identical in Columns A and B.

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