How to find a tangent ratio

Answer:

24.7 feet

Step-by-step explanation:

Maria who is 6 feet tall stands 20 feet away from the base of a tree she looks up at the top of the tree at a 43° angle of elevation.

what is the approximate height of the tree rounded to the nearest 10th?

We solve the above question using the Trigonometric function of Tangent

tan θ = Opposite/Adjacent

θ = Angle of elevation

Adjacent = Distance from the base of the tree = 20 feet

Opposite => Height of the tree = x

θ = 43°

tan 43 = x/ 20 feet

x = tan 43 × 20 feet

x = 18.650301723 feet

Approximately = 18.7 feet

We are told in the question that Maria is 6 feet tall

Therefore, the height of the tree = Maria's height + Height

= 6 feet + 18.7 feet

= 24.7 feet

Answer:

B

Step-by-step explanation:

We cannot assume independence for the employees sampled from location A.

It is not appropriate to use this formula for the standard deviation of

A. The samples are not independent of each other.

The entire group about whom you want to make conclusions is referred to as a population.

The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole.

We cannot rely on the workers' sampled employees' independence.

Assuming independence based on the 10% condition requires at least 200 employees in the population with a sample size of 20, however, location A only has 125 employees.

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Answer: umm

Step-by-step explanation:

Answer:

x=(-3/4)-(5y/4)

Step-by-step explanation:

hello again, the answer is x=(-3/4)-(5y/4). solve using system of equations. please give brainliest

Answer:

Infinitely many solutions

Step-by-step explanation:

=> -16x - 20y = 16 => - 4(4x + 5y) = 12

=> 4x + 5y = 12/(-4) => 4x + 5y = -3 .. (1)

=> 8x + 10y = - 6 => 2(4x + 5y) = - 6

=> 4x + 5y = -6/2 => 4x + 5y = - 3 ...(2)

Note that both the equations come out be same on simplification. It means, we are given with only 1 equation that is 4x + 5y = -3, and since there is nothing more about this, equation would give different values of y for infinitely many random values of x.

Thus,

Equation has infinitely many solutions.

Answer:

1) arc JL = 127°

arc JML = 233°

3) arc DE = 104°

arc FE = 76°

arc DEF = 180°

arc CFD = 284°

arc DFE = 256°

Step-by-step explanation:

1) arc JL = 127°

arc JML = 360 - 127 = 233°

3) arc DE =104°

arc FE = 180 - 104 = 76°

arc DEF = 180°

arc CFD = 180 + 104 = 284°

arc DFE = 360 - 104 = 256°

The angles arc measures are,

1) arc JL = 127°

arc JML = 233°

3) arc DE = 104°

arc FE = 76°

arc DEF = 180°

arc CFD = 284°

arc DFE = 256°

An angle of a circle is an angle that is formed between the radii, chords, or tangents of a circle. We saw different types of angles in the Angles section, but in the case of a circle, there, basically, are four types of angles. These are central, inscribed, interior, and exterior angles.

1) arc JL = 127°

arc JML = 360 - 127 = 233°

3) arc DE =104°

arc FE = 180 - 104 = 76°

arc DEF = 180°

arc CFD = 180 + 104 = 284°

arc DFE = 360 - 104 = 256°

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Answer:

6

Step-by-step explanation:

the answer to 1/3 of 18 is 6.

Answer:

Since Darcie wants to crochet a minimum of 3 blankets and she crochets at a rate of 1/5 blanket per day, we can determine how many days she will need to crochet a minimum of 3 blankets following the next steps:

- Finding the number of days needed to crochet one (1) blanket:

\begin{gathered}1=\frac{1}{5}Crochet(Day)\\Crochet(Day)=5*1=5\end{gathered}

1=

5

1

Crochet(Day)

Crochet(Day)=5∗1=5

So, she can crochet 1 blanket every 5 days.

- Finding the number of days needed to crochet three (3) blankets:

If she needs 5 days to crochet 1 blanket, to crochet 3 blankets she will need 15 days because:

\begin{gathered}DaysNeeded=\frac{NumberOfBlankets}{Rate}\\\\DaysNeeded=\frac{3}{\frac{1}{5}}=3*5=15\end{gathered}

DaysNeeded=

Rate

NumberOfBlankets

DaysNeeded=

5

1

3

=3∗5=15

- Writing the inequality

If she has 60 days to crochet a minimum of 3 blankets but she can complete it in 15 days, she can skip crocheting 45 days because:

AvailableDays=60-RequiredDaysAvailableDays=60−RequiredDays

AvailableDays=60-15=45DaysAvailableDays=60−15=45Days

So, the inequality will be:

s\leq 45s≤45

The inequality means that she can skip crocheting a maximum of 45 days since she needs 15 days to crochet a minimum of 3 blankets.

Have a nice day!

Answer:

J = 124

Step-by-step explanation:

The angle ofis suplementary so

j+56=180

Step 1 Subtract 56 from both sides.

j+56−56=180−56

j=124

Answer:

C . 4

Step-by-step explanation:

step 1 : -3 multiply with inside of the ( 7x-5 )

= -21x + 15

step 2 : then it will be 21x + 15 = 87 + 3x

step 3 : switch between the odds into like this

21x - 3x = 87 - 15

step 4 : subtract it all

18x = 72

step 5 : bring 18 to the other side

x = 72/18

step 6 : to find the ans of x is just calculate them

x = 72 ÷ 18

= 4

Or you can do like these ⬇️

-3 ( 7x - 15 ) = 87 + 3x

21x + 15 = 87 + 3x

21x - 3x = 87 - 15

18x = 72

x = 72/18 or 72÷18

x = 4

Answer:

102.05 inches squared

Answer:

Yes.

Step-by-step explanation:

Answer:

18/3=30/5=6

Step-by-step explanation:

Answer:

Lawrence was incorrect.

Step-by-step explanation:

Amy: 2(3x) +2(4x + 3)

= 14x + 6 ✓

Kaye: 3x + 3x + 4x + 3 + 4x + 3

= 14x + 6 ✓

Lawrence: 4(3x) + 2(4x)

= 20x Ø

Sufjan: 6 + 3x + 3x + 4x + 4x

14x + 6 ✓

Answer:

Try C

Step-by-step explanation:

I hope that this is right

Answer:

Step-by-step explanation:

I need the diagram

Answer:

4

Step-by-step explanation:

389 / 106 = 3.66981132

Since 6 is more than 4, we round up, so 3 ---> 4

Hope that helps!

-Sabrina

Answer: yep

Step-by-step explanation:

Answer:

217+25.5w

ye thats it

Answer:

1) tan π/4 = 1

2) cos π/4 = 0.7071

3) cot π/4 = 1

4) sin π/4 = 0.7071

5) sec π/4 = 1.4142

6) cosec π/4 = 1.4142

Step-by-step explanation:

Angle π is in radians

But converting to degree, it is;

π = 180˚

Thus; π/4 = 180/4 = 45°

Thus;

1) from calculator; tan π/4 = tan 45° = 1

2) from calculator, cos π/4 = cos 45° = 0.7071

3) cot is equivalent to 1/tan

Thus; cot π/4 = 1/(tan π/4) = 1/tan 45 = 1/1 = 1

4) from calculator, sin π/4 = sin 45° = 0.7071

5) sec in trigonometry is equivalent to 1/cos.

Thus;

sec π/4 = 1/cos π/4 = 1/cos 45° = 1/0.7071 = 1.4142

6) cosec in trigonometry is equivalent to 1/sin

Thus;

cosec π/4 = 1/sin π/4 = 1/sin 45° = 1/0.7071 = 1.4142

Required picture attached below :

Answer:

2 1/4 inches

Step-by-step explanation:

From the line plot Given ;

The frequency or number of 3/4 inch button is 3

Therefore, lining up all the 3/4 inch button in the plot, we have :

3/4 + 3/4 + 3/4

(3 + 3 + 3) /4

9 /4

2 1/4 inch

Answer:

This week sales = 26

Last week sales = 84

Step-by-step explanation:

Let this week sales = x

Sales last week = 6 + 3x

Sales last week + this week = 110

x + (6 + 3x) = 110

x + 6 + 3x = 110

6 + 4x = 110

4x = 110 - 6

4x = 104

x = 26

This week sales = 26

Last week sales = 6 + 3(26) = 84

Answer:

yes

Step-by-step explanation:

They are correct because the reciprocal ( flipped or opposite) of -2/5 is 5/-2

Answer:

C

Step-by-step explanation:

1. Plot each equation + (4/3,0)

Answer:

if BD the bisector of angle ABC,

then Angle ABD = 1/2 * angle ABC

= 1/2 * 48

= 24

Answer:

24 °

Step-by-step explanation:

m< ABD = m< CBD + m< DBA

= 28 ÷ 2 = 24 °

Answer:

No Solution.

Step-by-step explanation:

x=x+10

x-x=10

0=10

Answer:

i dont see an image

Step-by-step explanation:

Answer:

504in3 (cubed)

Step-by-step explanation:

Answer:

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = [tex]length^{2}[/tex]

                            = [tex]4^{2}[/tex]

                            = 16

Area of its base = 16 [tex]inches^{2}[/tex]

Area of one of its triangular surface = [tex]\frac{1}{2}[/tex] x base x height

                                 = [tex]\frac{1}{2}[/tex] x 4 x 12

                                 = 2 x 12

                                 = 24 [tex]inches^{2}[/tex]

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 [tex]inches^{2}[/tex]

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 [tex]inches^{2}[/tex]

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].

Answer:

which one 1st page or 2nd page or both's answer you want

Answer:

Step-by-step explanation:

Being co- interior angle.

Sum of co - interior angle is always 180°.

Hence,angle UTY + angle RWX=180°

Answer:

9,099 9,505

Step-by-step explanation:

Answer:

First one, Second one, third one, fourth one, and last one

Step-by-step explanation:

All of em but the fourth one...