Consider A Triangle ABC. Suppose That A= 119 Degrees, B=53, And C=57. Solve The Traingle

Answers

Answer 1

9514 1404 393

Answer:

  a = 94.8, B = 29.3°, C = 31.7°

Step-by-step explanation:

Side 'a' can be found using the Law of Cosines:

  a² = b² +c² -2bc·cos(A)

  a = √(2809 +3249 -6042·cos(119°)) ≈ √8987.22 ≈ 94.8

Then one of the other angles can be found from the Law of Sines.

  sin(C)/c = sin(A)/a

  C = arcsin(c/a·sin(A)) ≈ arcsin(0.525874) ≈ 31.7°

Then the remaining angle can be found to be ...

  B = 180° -A -C = 180° -119° -31.7° = 29.3°

__

The solution is a ≈ 94.8, B ≈ 29.3°, C ≈ 31.7°.

Consider A Triangle ABC. Suppose That A= 119 Degrees, B=53, And C=57. Solve The Traingle

Related Questions

gegygwugduwbudbwbdubwudbuwh7fh7whf8hw8hf8hw8hf8e​

Answers

Answer:

yes

Step-by-step explanation:

grehrehshbrenjt5rahtrere

Badabeep bop when the beat drop

What is the probability that the sample mean would differ from the true mean by greater than 1.9 dollars if a sample of 92 5-gallon pails is randomly selected

Answers

Answer:

The correct solution is "0.0226".

Step-by-step explanation:

The given question seems to be incomplete. Please find below the attachment of the complete query.

According to the question,

Mean

= 29

Standard deviation (s),

= 8

For sample size pf 92,

The standard error will be:

[tex]SE=\frac{s}{\sqrt{N} }[/tex]

     [tex]=\frac{8}{\sqrt{92} }[/tex]

     [tex]=0.834[/tex]

now,

⇒ [tex]1-P(\frac{-1.9}{0.834} < z < \frac{1.9}{0.834} )[/tex] = [tex]1-P(-2.28<z<2.28)[/tex]

or,

                                          = [tex]1-(2\times P(z<2.28)-1)[/tex]

                                          = [tex]2-2\times P(z<2.28)[/tex]

With the help of table, the normal distribution will be:

=  [tex]2-2\times 0.9887[/tex]

= [tex]0.0226[/tex]

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Segme
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ne Ruler Postulate to find segment lengths.
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copy segments and compare segments for cong
find the length indicated.

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Answers

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Step-by-step explanation:


1. What kind of special angle pair do the 2
angles make? (corresponding,
supplementary, or vertical)

Answers

Answer:

supplementary angle is whose is mesure is 180

If you have a right triangle with legs a =6 and b= 8, what is the value of the hypotenuse? show work.

Answers

Answer:

10

Step-by-step explanation:

1. [tex]6^{2} + 8^{2} = c^{2}[/tex]

2 [tex]100 = c^{2}[/tex]

3. c = 10

Danielle needs to walk 3 miles. If she wants to reach her destination in 45
minutes ( hour), how fast does she need to walk?
A. 135 miles
per hour
B. 2.25 miles per hour
C. 15 miles per hour
D. 4 miles per hour

Answers

Answer:

4 miles per hour

Step-by-step explanation:

3 miles

Change the 45 minutes to hours

45 minutes * 1 hour/60 minutes = 3/4 hour

3 miles ÷ 3/4 hour

Copy dot flip

3 * 4/3

4 miles per hour

pleas help
given parallelogram ABCD find m<ADB​

Answers

Answer:

∠ ADB = 19°

Step-by-step explanation:

Consecutive angles in a parallelogram are supplementary, sum to 180° , so

∠ CDA = 180° - ∠ DAB = 180° - 138° = 42°

Then

∠ ADB + ∠ CDB = 42° , that is

∠ ADB + 23° = 42° ( subtract 23° from both sides )

∠ ADB = 19°

You want to buy a house that has a purchase price of $180,000 you plan to make a down payment of 10% of the purchase price and then while the rest what is the dollar value of the down payment?

Answers

Step-by-step explanation:

=10% of $180000

= 10*$180000/100

=$180

Triangle plz help me find B,b and c​

Answers

Answer:

B = 55°

b = 17.1 (rounded to the nearest tenth)

c = 20.9 (rounded to the nearest tenth)

Write a linear equation in point slope form with the given slope of 1/4 and passing through the point (8,-3)

Answers

Answer:

The equation is

y=1/4x-3

Answer:

y = 1/4x - 5

Step-by-step explanation:

If gradient or slope (m) equal to 1/4

then y - y¹ = m( x - x¹) ..........(1)

where the line happen to be passing through the point given above

therefore let x¹ be 8.........(2)

and y¹ be -3...............(3)

substitute (3) and (2) into (1)

we have y -(-3) = 1/4 (x - 8)

so 4(y+3)= (x-8)

4y = x - 8 - 12

therefore y = 1/4x - 5

Does anyone know this?

Answers

Answer:

C

Step-by-step explanation:

Rationalize the denominator by multiplying [tex]\frac{\sqrt{5}}{\sqrt{5} }[/tex]. The denominator will become 5, while the numerator will be 3[tex]\sqrt{100}[/tex]. This is equal to 30/5, which is 6.

Hope this helps!

if the r-value, or correlation coefficient, of a data set is 0.941, what is the coefficient of determination

Answers

Answer:0.824

Step-by-step explanation:

The coefficient of determination is approximately 0.885 or 88.5%.

What is the correlation coefficient?

A correlation coefficient (r) is a number between -1 and 1 that measures the strength and direction of a linear relationship between two variables.

The coefficient of determination (R-squared) is equal to the square of the correlation coefficient (r).

Therefore, to find the coefficient of determination with an r-value of 0.941, we can simply square it:

R-squared = r² = 0.941² = 0.885481

Thus, the coefficient of determination is approximately 0.885 or 88.5%.

This means that 88.5% of the variation in the dependent variable can be explained by the independent variable(s) in the data set.

Learn more about the correlation coefficient here:

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Q is equidistant from the sides of TSR. Find the value of x.
T
(2x + 240°
30°
S
R

Answers

Lets do

[tex]\\ \sf\longmapsto 2x + 24 = 30 \\ \\ \sf\longmapsto 2x = 30 - 24 \\ \\ \sf\longmapsto 2x = 6 \\ \\ \sf\longmapsto x = \frac{6}{2} \\ \\ \sf\longmapsto x = 3[/tex]

Which of these statements is true for f(x) = 2 · 3x?

Answers

Answer:

the statement number D okay!

The y-intercept of the function will be at (0, 2). Then the correct option is A.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

The function is given below.

y = 2·(3)ˣ

The value of y at x = 0, we have

y = 2·3⁰

y = 2·1

y = 2

The y-intercept of the function will be at (0, 2).

Then the correct option is A.

More about the exponent link is given below.

https://brainly.com/question/5497425

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which of the following is q point slope equation of a line that passes through the point (5,2)and (-1,-6)

Answers

Answer:y - y1 = m(x + x1)

m = (y2 - y1)/(x2 - x1) = (-6 - 2)/(-1 - 5) = -8/(-6) = 4/3

y - 2 = 4/3(x - 5) is a possible answer

y + 6 = 4/3(x + 1) is also a possible answer

Step-by-step explanation:

can i be brainliest

please help, it’s urgent !

Answers

Answer:

f(-10) = 2 times -10 + 1

= -19

f(2) = 2^2

= 4

f(-5) = 2 times -5 + 1

= -9

f(-1) = (-1)^2

= 1

f(8) = 3-8

= -5

Step-by-step explanation:

Find the missing length indicatedOk

Answers

Answer:

x = 135

Step-by-step explanation:


Devaughn is 10 years older than Sydney. The sum of their ages is 104. What is Sydney's age?
I​

Answers

Answer:

Sydney's age = 42

Step-by-step explanation:

104 divided by 2 = 52

52 - 10 = 42

I am sorry if this is wrong. But this is what I learned at my school.


1. One half of a number added to a second
number equals 4. One half of the first
number decreased by the second number
equals zero. Find the two numbers.

Answers

Answer:

(4, 2)

Step-by-step explanation:

½x + y = 4

y = 4 - ½x

½x - y = 0

½x - (4 - ½x) = 0

½x - 4 + ½x = 0

x = 4

y = 4 - ½(4)

y = 2

Determine the type of quadrilateral given the following coordinates. Show and explain all steps to prove your answer. A(2, 3) B(-1, 4) C(0, 2) D(-3, 3)

Answers

Answer:

The quadrilateral is a parallelogram

Step-by-step explanation:

If you plot the points on the graph it resembles the shape of a parallelogram. It prove this you need to check if the lengths are correct. The slope between point A and point B is 1/3 and the slope between point C and point D is also 1.3. The slope between point B and D is 1/2 and the slope between point A and point C is also 1/2

hope this helps

The quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

What is a parallelogram?

A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

For the given situation,

The coordinates are A(2, 3) B(-1, 4) C(0, 2) D(-3, 3).

The graph below shows these points on the coordinates and the points ABDC forms the parallelogram.

This can be proved by finding the distance between these points.

The formula of distance between two points is

[tex]AB=\sqrt{(x2-x1)^{2}+ (y2-y1)^{2}}[/tex]

Distance AB is

⇒ [tex]AB=\sqrt{(-1-2)^{2}+ (4-3)^{2}}[/tex]

⇒ [tex]AB=\sqrt{(-3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]AB=\sqrt{9+ 1}[/tex]

⇒ [tex]AB=\sqrt{10}[/tex]

Distance BD is

⇒ [tex]BD=\sqrt{(-3+1)^{2}+ (3-4)^{2}}[/tex]

⇒ [tex]BD=\sqrt{(-2)^{2}+ (-1)^{2}}[/tex]

⇒ [tex]BD=\sqrt{4+ 1}[/tex]

⇒ [tex]BD=\sqrt{5}[/tex]

Distance DC is

⇒ [tex]DC=\sqrt{(0+3)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]DC=\sqrt{(3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]DC=\sqrt{9+ 1}[/tex]

⇒ [tex]DC=\sqrt{10}[/tex]

Distance CA is

⇒ [tex]CA=\sqrt{(2-0)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]CA=\sqrt{(2)^{2}+ (1)^{2}}[/tex]

⇒ [tex]CA=\sqrt{4+ 1}[/tex]

⇒ [tex]CA=\sqrt{5}[/tex]

Thus the lengths of the opposite sides are equal, the given points forms the parallelogram.

Hence we can conclude that the quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

Learn more about parallelogram here

https://brainly.com/question/16056863

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It's camping season! Ernie and Bert set up their tents 15 m from
each other. Ernie has Tent 1 and Bert has Tent 2. The angle
between the line of sight from Bert's tent to the shower and the
line of sight from Bert's tent to Ernie's tent is 78 degrees. If
Ernie's tent is 19m away from the shower, is Bert 's tent closer or
further away from the shower and by how much? In your
calculations, round your angles to the nearest whole degree and
side measurements to the nearest tenth of a metre.
1
2

Answers

Answer:

The answer is "21.6".

Step-by-step explanation:

Let A stand for tent 1

Let B stand for tent 2

Let C be a shower

Using cosine formula:  

[tex]c= \sqrt{b^2 +a^2 - 2ab\cdot \cos(C)}\\\\[/tex]

  [tex]= \sqrt{(19)^2 + (15)^2 - 2\cdot 19 \cdot 15 \cdot \cos(78^{\circ})}\\\\= \sqrt{361 + 225 - 570\cdot \cos(78^{\circ})}\\\\ = \sqrt{586- 570\cdot \cos(78^{\circ})}\\\\= 21.6\\\\[/tex]

Therefore, you need to reduce the similarity from B to C which is the length from tent 2 to shower:

Tent 2 Distance to Dusk = 21.6m

Bert's tent is 21.6m away from the shower

Refer to the picture above

Answers

Answer:

3.14

Step-by-step explanation:

First find the circumference of the circle:

[tex]2\pi r[/tex] = Circumference.

[tex]2 * \pi * 6[/tex] = [tex]12\pi[/tex]

Find the ratio of the angle in relation to the entire circle:

[tex]30^o[/tex] is what we have. So:

[tex]\frac{30^o}{360^o} = \frac{1}{12}[/tex]

Use the ratio and multiply the circumference to find the length:

[tex]12\pi * \frac{1}{12}[/tex] = [tex]\pi[/tex]

Round answer to the hundredth:

[tex]\pi = 3.14[/tex]

Yes the answer is 3.14

A cone has a volume of 4000cm3

. Determine the height of the cone if the diameter of the cone

is 30 cm. ​

Answers

Answer:

17cm

Step-by-step explanation:

Given that the Volume of a cone is 4,000 cm³. And we need to determine the height of the cone , if the diameter is 30cm .

Diagram :-

[tex]\setlength{\unitlength}{1.2mm}\begin{picture}(5,5)\thicklines\put(0,0){\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\put(-0.5,-1){\line(1,2){13}}\put(25.5,-1){\line(-1,2){13}}\multiput(12.5,-1)(2,0){7}{\line(1,0){1}}\multiput(12.5,-1)(0,4){7}{\line(0,1){2}}\put(17.5,1.6){\sf{15cm }}\put(9.5,10){\sf{17\ cm }}\end{picture} [/tex]

Step 1: Using the formula of cone :-

The volume of cone is ,

[tex]\rm\implies Volume_{(cone)}=\dfrac{1}{3}\pi r^2h [/tex]

Step 2: Substitute the respective value :-

[tex]\rm\implies 4000cm^3 =\dfrac{1}{3}(3.14) ( h ) \bigg(\dfrac{30cm}{2}\bigg)^2 [/tex]

As Radius is half of diameter , therefore here r = 30cm/2 = 15cm .

Step 3: Simplify the RHS :-

[tex]\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) (15cm)^2\\ [/tex]

[tex]\rm\implies 4000 cm^3 = \dfrac{1}{3}(3.14) ( h ) 225cm^2\\ [/tex]

Step 4: Move all the constant nos. to one side

[tex]\rm\implies h =\dfrac{ 4000 \times 3}{ (3.14 )(225 )} cm \\[/tex]

[tex]\implies \boxed{\blue{\rm Height_{(cone)}= 16.98 \approx 17 cm }}[/tex]

Hence the height of the cone is 17cm .

PLZZZZZZ HELP WILL GIVE BRAIN THING AND EXTRA POINTS !What is the least common denominator of the rational expressions below? ​

Answers

Answer:

D is the least common denominator

Camille is attending a fundraiser. She pays for her admission and buys raffle tickets for $5dollar each. If she buys 10 raffle tickets, then she would spend a total of $135 at the fundraiser.
The number S of dollars Camille spends at the fundraiser is a function of r, the number of raffle tickets she buys.
Write the function's formula.

Answers

Answer:

50r + a = 135

Admission cost was $85

Step-by-step explanation:

We are missing a crucial amount of information here. It is how much she spent on her admission. We can create an equation symbolizing this problem.

5r + a = 135

We know that she purchases 10 tickets so we can substitute that in r and solve for a.

50 + a = 135

a = 85

Best of Luck!

The duration of shoppers' time in Browse Wrld's new retail outlets is normally distributed with a mean of 27.8 minutes and a standard deviation of 11.4 minutes. How long must a visit be to put a shopper in the longest 10 percent

Answers

Answer:

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.

Step-by-step explanation:

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.

Mean of 27.8 minutes and a standard deviation of 11.4 minutes.

This means that [tex]\mu = 27.8, \sigma = 11.4[/tex]

How long must a visit be to put a shopper in the longest 10 percent?

The 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

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

[tex]1.28 = \frac{X - 27.8}{11.4}[/tex]

[tex]X - 27.8 = 1.28*11.4[/tex]

[tex]X = 42.39[/tex]

A visit must be of at least 42.39 minutes to put a shopper in the longest 10 percent.


4.8 yd
6 yd
1
4.5 yd
5 yd
7 yd
Find the volume of the composite solid. Round your answer to the nearest hundredth.
A. 244.36 B. 264.79 C. 304.51 D. 330.84

Answers

Answer:

A

Step-by-step explanation:

The composite solid is made up of a cone and a rectangular prism.

Volume of the composite solid = volume of the cone + volume of the rectangular prism

✔️Volume of Cone = ⅓*π*r²*h

Where,

r = 4.8 yd

h = √(6² - 4.8²) = √12.96 = 3.6 yd

Substitute

Volume of cone = ⅓*π*4.8²*3.6

= 86.86 yd²

✔️Volume of rectangular prism = l*b*h

Where,

l = 7 yd

w = 5 yd

h = 4.5 yd

Substitute

Volume of prism = 7*5*4.5 = 157.5 yd²

✔️Volume of composite solid = 86.86 + 157.6 = 244.4 yd² (which is close to 244.36 yd²)

Please answer this question. Will give brainiest fast

Answers

Answer: The answer is C the one you chose

Please help. I don't understand how to solve for number 17, 19, and 21. Please show how you solved each problem

Answers

(17) From the plot, you see that

Pr[$15,500 ≤ x ≤ $18,500] = 99.7%

We can split up the probability on the left at the mean, so that

Pr[$15,500 ≤ x ≤ $17,000] + Pr[$17,000 ≤ x ≤ $18,500] = 99.7%

Any normal distribution is symmetric about its mean, so the two probabilities here are the same. The one on the left is what you want to compute. So you have

2 × Pr[$15,500 ≤ x ≤ $17,000] = 99.7%

==>   Pr[$15,500 ≤ x ≤ $17,000] = 49.85%

(19) The mean of a normal distribution is also the median, so half the distribution lies to either side of the mean. Mathematically, we write

Pr[x ≥ $17,000] = 50%

The plot shows that

Pr[$16,500 ≤ x ≤ $17,500] = 68%

and by using the same reasoning as in (17), we have

Pr[$16,500 ≤ x ≤ $17,000] + Pr[$17,000 ≤ x ≤ $17,500] = 68%

2 × Pr[$17,000 ≤ x ≤ $17,500] = 68%

Pr[$17,000 ≤ x ≤ $17,500] = 34%

Now

Pr[x ≥ $17,000] = 50%

Pr[$17,000 ≤ x ≤ $17,500] + Pr[x ≥ $17,500] = 50%

34% + Pr[x ≥ $17,500] = 50%

==>   Pr[x ≥ $17,500] = 16%

(21) From the plot,

Pr[$16,000 ≤ x ≤ $18,000] = 95%

This means (by definition of complement) that

Pr[x ≤ $16,000 or x ≥ $18,000] = 100% - 95% = 5%

and by symmetry,

Pr[x ≤ $16,000 or x ≥ $18,000] = 5%

Pr[x ≤ $16,000] + Pr[x ≥ $18,000] = 5%

2 × Pr[x ≤ $16,000] = 5%

==>   Pr[x ≤ $16,000] = 2.5%

Which expressions are equivalent to -7+3(-4e-3)

Choose all answers that apply:
A. -4(3e+4)
B. 12e
C. None of the above

Answers

Answer: A

-4(3e+4)=

-12e-16

Step-by-step explanation:

-7+3(-4e-3)=

-7-12e-9=

-12e-16

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