Given the triangle below, find the angle θ in radians. Round to four decimal places.

Given The Triangle Below, Find The Angle In Radians. Round To Four Decimal Places.

Answers

Answer 1

Answer:

θ = 0.9626

Step-by-step explanation:

Hi there!

We're given the hypotenuse and the leg adjacent to θ in this right triangle. To find θ, we can use the cosine ratio:

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

Plug in the given information

[tex]\displaystyle cos\theta=\frac{4}{7}[/tex]

Use the inverse cosine ratio

[tex]\displaystyle \theta=cos^-^1(\frac{4}{7})[/tex]

Plug this into your calculator (and ensure you're solving for radians instead of degrees in the settings)

[tex]\displaystyle \theta=0.9626[/tex]

Therefore, θ = 0.9626 when rounded to four decimal places.

I hope this helps!

Answer 2

Answer:

theta = 0.9626 radians

Step-by-step explanation:

cos theta = a/h

cos theta = 4/7 = 0.5714

so, the angle theta = arc cos 0.5714 =

55.1520 °

in radians => 55.1520 × π / 180°

= 0.9626 radians


Related Questions

if 5-3(2a+1)=-4a+10, what is the value of a+2​

Answers

Answer:

-2

BRAINLIEST, PLEASE!

Step-by-step explanation:

5 - 3(2a + 1) = -4a + 10

5 - 6a - 3 = -4a + 10

2 - 6a = -4a + 10

-2a = 8

a = -4

-4 + 2 = -2

Answer:

a+2 = -4+2 = -2

Step-by-step explanation:

5-3(2a+1)=-4a+10

Distribute

5 - 6a -3 = -4a +10

Combine like terms

-6a +2 = -4a +10

Add 6a to each side

-6a+2 +6a = -4a+6a +10

2 = 2a+10

Subtract 10 from each side

2-10 =2a+10-10

-8 = 2a

Divide by 2

-8/2 =2a/2

-4=a

What is the least common multiple of 8, 17, and 14?

Answers

Answer:

952

Step-by-step explanation:

LCM(8,14) = (8 × 14)  = (8 × 14) / 2  = 112 / 2  = 56

LCM(56,17) = (56 × 17)

= (56 × 17) / 1

= 952 / 1

= 952

Therefore,

                  LCM (Lowest common multiple) (8, 14, 17) = 952

Please help me with these questions if you have time

Answers

Answer:

Use the following formulas for the tables

Step-by-step explanation:

For the tables given bellow use these formulas for part 7 a and b

y2-y1 over x1-x1

that would give us the slope then plug that into y=mx+b

Answer:

7. a. y=5x+29

b. y=9x+4

l have answer question number 7a and 7b

1.47- 1.56 please


Mark brainliest!!

Answers

Answer:

0.09

Step-by-step explanation:

That’s the answer0.09

Doanh thu công ty ABC năm hiện tại 6.500 triệu USD, doanh lợi tiêu thụ (ROS) 8%. Dự kiến trích 8% lợi nhuận sau thuế chia cổ tức cho các cổ đông. Xác định lợi nhuận để lại của công ty ABC?

Answers

Answer:

ill answer if u can make it english

Step-by-step explanation:

Evaluate using the order of operations. Show your work.
2. (30.6 +5.03) - 7

Answers

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

[tex]\huge\boxed{\mathsf{{2 (30.6 + 5.03) - 7}}}\\\huge\boxed{\mathsf{\rightarrow 2(\bold{35.63)}} - 7}\\\huge\boxed{\rightarrow\mathsf{\bold{71.26}} - 7}\\\huge\boxed{\rightarrow\mathsf{\bf = 64.26}}\\\huge\boxed{\huge\text{Therefore, your answer is: \bf 64.24}}[/tex]

[tex]\huge\text{\text{Good luck on your assignment \& enjoy your day!}}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

0.5

Step-by-step explanation:

2.30 divided by 4.5 = 0.5

please enjoy your day <3

Calculate the area of the triangle.
Note: Think about which side to use as the base.

Answers

9514 1404 393

Answer:

  27 square units

Step-by-step explanation:

The height is measured perpendicular to the base, so it is convenient to use a base such that the height is easily found. Here, the vertical line is a suitable base, as the height is the horizontal distance from that to the opposite vertex.

  A = 1/2bh = 1/2(9)(6) = 27 . . . . square units = triangle area

5.4 - (9.5 - 8) - 2.5

(pls help and explain pls)

Answers

Answer:1.4

Step-by-step explanation:

Which one of the following expressions represents the perimeter of a rectangle whose length is 18 meter and whose width is 9 meter

Answers

Answer:

Well since you didn't give any choices, I would say the simplest way to write it would be (18 + 9) x 2

which equation shows the valur of -2/5- (-9/15)

Answers

Answer:

3/15

Step-by-step explanation:

-2/5=-6/15

(-6-(-9))/15=(-6+9)/15=3/15

If (x+1,10)=(4,2y) then find the value of x & y

Answers

Answer:

x = 3 & y = 5

Step-by-step explanation:

Given,

(x+1, 10) = (4, 2y)

First x coordinate,

x + 1 = 4

=> x = 4 - 1

=> x = 3 (Ans) (i)

Second y coordinate,

10 = 2y

[tex] = > y = \frac{10}{2} [/tex]

=> y = 5 (Ans) (ii)

Why are fractions difficult to teach and learn? Give 5 reasons.

Answers

Answer:

It is not hard

Step-by-step explanation:

•Once you get familiar with the lesson you understand it in a much easier way by doing problems pretty often

•If you want get more comfortable with it just search for a few questions in internet specifically educational platforms in schools like teachers

•But if your still confused you can always study it for free by byjus or vedantu and the best option in my opinion is ask your teacher to explain it once more

•It is very hard to solve questions if you are not freindly with the chapter

• Do not hesitate to ask questions if your doubting or anything you might face problems in higher grades with the topic

The two vertices of a triangle are B(-3,1) and C(2,-2). If the coordinates of the intersection point H of the three heights are (9/11, 4/11), try to find the coordinates of another vertex A.​

Answers

Answer:

(3,4)

Step-by-step explanation:

Find the equation of BH.  (x+3)/(9/11+3)=(y-1)/(4/11-1)

(x+3)/(42/11)= (y-1)/(-7/11)

(x+3)*11/42= (y-1)*11/-7

x+3= -6(y-1)

x+3=-6y+6

y=-1/6x+1/2

m1=-1/6

AC:   y=m2x+b

m1*m2=-1 (for perpendicular lines)

-1/6m2=-1

m2=6

-2=6*2+b

b=-14

y=6x-14

Find CH

(x-2)/(9/11-2)= (y+2)/(4/11+2)

(x-2)/(-13/11)= (y+2)/26/11

(x-2)*-11/13=(y+2)*11/26

(x-2)(-2)=y+2

-2x+4=y+2

y=-2x+2

m3=-2

AB: y=m4x+b

m3*m4=-1

-2*m4=-1

m4=0.5

Take the point B from AB

1=-3*0.5+b

b=2.5

y=0.5x+2.5

A is the point of intersection of two linesAB and AC

We have simultaneous equations

y=6x-14

y=0.5x+2.5

6x-14=0.5x+2.5

5.5x=16.5

x=3

y=6*3-14=4

15. Ankita bought 20 copy for Rs. 25 each. She got profit of Rs.200 while selling it. Find selling price of the copies.​

Answers

Answer:

S.P = 225

Explanation:

Cost Price = 20 copies for Rs. 25

Selling price = 20 copies for ?

Profit = Rs. 200

Profit = S.P -C.P

Profit + C.P = S.P

200 + 25 = S.P

225 = S.P

Sorry for my bad handwriting ​

Answers

Answer:

No it is good

Step-by-step explanation:

I like it. good luck

Answer:

Rs 18.30

Step-by-step explanation:

100-(25.75+20.50+35.45)=100-81.70=Rs18.30

What is the largest multiple of 4 that is less than 30 ?

Answers

Answer:

The multiples of 4 that are less than 30 are 4, 8, 12, 16, 20, 24, 28

the largest multiple of 4 that is lass than 30 is 28

A slow flow of lava is traveling at a rate
of 3 m per day. How far will the lava have traveled at the end of 30 days?

Answers

Answer:

90m

Step-by-step explanation:

Since the lava is traveling at a rate of 3m per day all we have to do is multiply 3 by 30. 3 x 30 = 90.

I hope this answer helps you out.

the lava have travelled 90 m in 30 days

A veterinarian polled her clients own dogs as to whether or not they used dry food only for their dogs which of the following describes the population of this survey

Answers

Answer:

Can you describe this question

Step-by-step explanation:

In the survey study above, in other to get valuable information that would help the veterinarian find answers to the research question, he correct description of the population of the survey is: this veterinarian's dog-owning clients.

What is the Population of a Survey Study?

In a survey, the population of the study is the group of people that can provide valuable information to a researcher regarding the research questions.

Thus, in the survey study above, in other to get valuable information that would help the veterinarian find answers to the research question, he correct description of the population of the survey is: this veterinarian's dog-owning clients.

Learn more about population of study on:

https://brainly.com/question/14320940

the graph of f(X)=sin(x) is transformed to a new function g(x) by straching it vertically by a factor of 2 and shifting it 3 units up. What is the equation of the new function g(x)?

Answers

9514 1404 393

Answer:

  g(x) = 2sin(x) +3

Step-by-step explanation:

The transformation g(x) = c·f(x) +k represents a vertical scaling by a factor of c and a vertical shift by k units. You want the scale factor to be 2 and the vertical shift to be +3, so the transformed function is ...

  g(x) = 2f(x) +3

  g(x) = 2sin(x) +3

Find and simplify the expression if f(x)=x^2-1.
f(x-3)

Answers

Answer:

Step-by-step explanation:

f(x)=x²-1

f(x-3)=(x-3)²-1

=x²-6x+9-1

=x²-6x+8

11. Find the solutions of x^2-x-30 = 0.
Please give a walkthrough/step by step I am trying to learn how to do it!

Answers

To find the solutions of quadratic equation, there are two ways to do which are:

FactorizeQuadratic Formula

Step 1

- Factor the expression.

To factor the expression, refer below:

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - bx - ax + ab}[/tex]

For bx and ax, both can be common-factored. Therefore

[tex] \displaystyle \large{ (x - a)(x - b) = {x}^{2} - (b + a)x + ab}[/tex]

From the above, we conclude that:

The middle term is b+aThe last term is a×bThus, we have to find two numbers that satisfy a+b and a×b

From the expression, 30 comes from 5×6 and when 5-6 = -1. Therefore, a can be 5 and b can be 6.

[tex] \displaystyle \large{{x}^{2} - x - 30 = (x + 5)(x - 6)}[/tex]

Because in the middle term, it is -x which is negative, we have to let the highest number become negative.

From the factored expression:

The middle term = 5x + (-6x) = -xThe last term = 5 × (-6) = -30

Then we replace the standard equation with factored form.

[tex] \displaystyle \large{ (x + 5)(x - 6) = 0}[/tex]

For this part, we solve like a linear equation where we isolate x. Just think you are solving two linear equations!

Hence

[tex] \displaystyle \large{ x = - 5, 6}[/tex]

Therefore, the solutions are x = -5, 6.

ANSWER IN LESS THEN 5 MINS PLEASE HURRY

VVVVVVVVVVVVVVVVVVVV

Answers

Answer:

4 oz

Step-by-step explanation:

1 lb = 16 ounces. A fourth of 16 is 4 (I found out by doing 16 / 4) therefore a one-fourth pound chicken weighs 4 oz.

I hope this helps!

Answer:

4 ounces

Step-by-step explanation:

one pound= 16 ounces

1/4th pound=  [tex]\frac{1}{4} * 16[/tex]

= 4 ounces

Hence, [tex]\frac{1}{4}[/tex] pound = 4 ounces

Hope this helps.

what is 0.4 repeating written as a fraction ​

Answers

Answer:

0.4 as a fraction would be 2/5

Answer: 4/9

Step-by-step explanation:

define complementary angle ​

Answers

Answer:

Complementary angles are 2 angles whose sum is 90 (ex 35° and 55°)

Step-by-step explanation:

complenentary angles are the pair angles with the sum of 90°

Evaluate the expression 3(x^2-y) +4 if x=3 and y=2

f.) 16
g.) 25
h.) 29
j.) 33

Answers

Step-by-step explanat

(g) 3[(3)²-2]+4=3(9-2)=3×7=21+4=25

Find the differential of the function w=x^(4)sin(y^(4)z^3)

Answers

Step-by-step explanation:

[tex]w = x^4\sin(y^4z^3)[/tex]

The differential [tex]dw[/tex] is

[tex]dw = 4x^3\sin(y^4z^3)dx [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy [/tex]

[tex]\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz[/tex]

Do the following graphs represent a mathematical function? If not, explain why.

Answers

Answer:

1 = Yes

2 = NO

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes for both.

Each value of x has only one image (an y value)

Identify any outliers) in the data. {57, 54, 63, 65, 59, 64, 48, 65, 49, 55, 47, 53, 68, 60, 40, 57}

Answers

Answer:

40

Step-by-step explanation:

Data set:

{57, 54, 63, 65, 59, 64, 48, 65, 49, 55, 47, 53, 68, 60, 40, 57}

Step 1. Rearrange the data set from smallest to largest

{40, 47, 48, 48, 49, 53, 54, 55, 57, 57, 59, 60, 63, 64, 65, 68}

Step 2. Find the outliers (a value in a data set that is very different from the other values)

Answer: 40

Explanation:

40 is the only number apart and away out of all of the other numbers

The length of a rectangle is 2 cm more than 5
times the width. The perimeter is 196 cm. Find
the width and length.

Answers

length = 82 cm

width = 16 cm

Step-by-step explanation:

x = length

y = width

the perimeter of a rectangle is the lengths of all sides added together. so, 2×length plus 2× width

x = 5y + 2

196 = 2x + 2y

let's use the first equation as substitute in the second equation.

196 = 2×(5y + 2) + 2y = 10y + 4 + 2y = 12y + 4

12y = 192

y = 16 cm

x = 5y + 2 = 5×16 + 2 = 80 + 2 = 82 cm

The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62. In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35. (Round your answer to three decimal places)

Answers

Using the normal probability distribution and the central limit theorem, it is found that there is a 0.04 = 4% probability that the mean ticket price exceeds $35.

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

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.  

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

The average ticket price for a Spring Training baseball game is $32.61, with a standard deviation of $8.62.

This means that [tex]\mu = 32.61, \sigma = 8.62[/tex]

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

Sample of 40:

This means that [tex]n = 40, s = \frac{8.62}{\sqrt{40}}[/tex]

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

In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $35.

This is 1 subtracted by the p-value of Z when X = 35, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{35 - 32.61}{\frac{8.62}{\sqrt{40}}}[/tex]

[tex]Z = 1.754[/tex]

[tex]Z = 1.754[/tex] has a p-value of 0.96.

1 - 0.96 = 0.04

0.04 = 4% probability that the mean ticket price exceeds $35.

A similar question is given at https://brainly.com/question/24342706

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