In triangle ABC, b = 600, ∠B = 11°, and ∠C = 75°. Find a.​

Answers

Answer 1

Answer:

Step-by-step explanation:

We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to

180 - B - C. Therefore,

angle A = 180 - 11 - 75 so

angle A = 94. And the Law of Sines is

[tex]\frac{sin94}{a}=\frac{sin11}{600}[/tex] and cross multiply to get

600sin94 = asin11 and solve for a:

[tex]a=\frac{600sin94}{sin11}[/tex] gives you that

a = 3136.85


Related Questions

Hurry !!Answer each question about the following
geometric series
10
k-1
What is the first term of the series?
a =
S10 - 3(2)k-1
RETRY
k-1
How many terms are in the series?
1
2
9

10
COMPLETE

Answers

Answer:

last term is 1536

Value of the geometric series is 3,069

Step-by-step explanation:

took one for the team

There are 10 terms in the geometric series.

And, The first term of the series is, 3

We know that;

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The geometric series is,

⇒ S₁₀ = ∑ 3 (2)ⁿ⁻¹

Where, n is from 1 to 10.

Thus, We get;

There are 10 terms in the geometric series.

And, For first term;

Put n = 1;

⇒ S₁₀ = ∑ 3 (2)ⁿ⁻¹

⇒ S₁₀ = ∑ 3 (2)¹⁻¹

⇒ S₁₀ = ∑ 3 (2)⁰

⇒ S₁₀ = ∑ 3 × 1

⇒ S₁₀ = 3

Thus, The first term of the series is, 3

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

#SPJ7

The roots of 7x^2 + x - 5 = 0 are a and b. Compute (a - 4)(b - 4). Thank you!

Answers

Answer:

Step-by-step explanation:

a = 7 ;  b = 1 ;  c = -5

D = b² - 4ac

  = 1 - 4*7*(-5)

  = 1 + 140

  = 141

x =( - b ± √D ) / 2a

 = (-1 ± √141)/2*7

 = (-1±√141) / 14

[tex]a = \frac{-1+\sqrt{141} }{14}= \frac{-1+11.87}{14}= \frac{10.87}{14}=0.78\\\\b = \frac{-1-\sqrt{141}}{14}= \frac{-1-11.87}{14}= \frac{-12.87}{14}=3.59\\\\\\[/tex]

(a -4 )(b -4) = (0.78 - 4)(-3.59-4) = (-3.22)(-7.59)

= 24.4398

Name three deficiency diseases associated with diet and state their causes

Answers

Answer:

Iron deficiency, hypoglycemia, and scurvy.

Step-by-step explanation:

Iron deficiency is the lack of iron in the blood, usually caused by blood loss. Because the body doesn't produce iron, people need to consume items with iron to rise up the amount of iron.

Hypoglycemia is the lack of blood sugar (known as glucose), people who are diabetic or drink excessive alcohol can have hypoglycemia.  People would have to consume more glucose or take insulin shots to get the amount back to normal.

Scurvy is caused by the lack of Vitamin C (found in fruits and vegetables) , usually within 3 months.

which of the following is the result of the equation below after completing the square and factoring x^2+3x+8=6​

Answers

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

[tex]\mathsf{x^2 + 3x + 8 = 6}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{x^2 + 3x + 8 - 6 = 6 - 6}[/tex]

[tex]\mathsf{8 - 6 = \boxed{\bf 2}}[/tex]

[tex]\mathsf{6 - 6 = \boxed{\bf 0}}[/tex]

[tex]\mathsf{x^2 + 3x + 2 = 0}[/tex]

[tex]\large\textsf{FACTOR the LEFT SIDE OF THE EQUATION}[/tex]

[tex]\mathsf{(x + 1)(x + 2) = 0}[/tex]

[tex]\large\textsf{SET EACH FACTORS to EQUAL 0}[/tex]

[tex]\mathsf{x + 1 = 0 \ OR \ x + 2 = 0}[/tex]

[tex]\large\textsf{SOLVE the EQUATIONS ABOVE and YOU HAVE YOUR x-values}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = -1 or x = -2}}}\huge\checkmark[/tex]

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

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

PLEASEEE I nEEED THE ANSWER TnT
NOTE: pls ignore another language just read the english one... ASAP​

Answers

Answer:

x     -1      1    3

y      -2    -4   2

Step-by-step explanation:

y=x^2-x-4

when x=-1

y=(-1)^2-(-1)-4

y=1+1-4

y=-2

when x=1

y=(1)^2-(1)-4

y=1-1-4

y=-4

when x=3

y=(3)2-(3)-4

y=9-3-4

y=9-7

y=2

Which of the following graphs represents the equation below?



Answers

the graph the represents the equation is C.

Answer:

the answer is a on the image i just did what they said and got it wrong

Step-by-step explanation:

pls help my computers about to die lol ​

Answers

Answer:

Elapsed 10 hours and 50 minutes

Step-by-step explanation:

So it's 5:25 pm to 4:15 am.  

It goes by 50 mins to get from 5:25 to 6:15.

Now the hours.

It has passed 10 hours to get 6:15 pm to 4;15 am.

Vhich type of sequence is shown? Check all that apply.
4, 8, 12, 16, ...
The numbers are quickly getting larger, so this is a geometric sequence.
The numbers are slowly getting larger, so this is an arithmetic sequence.
This is an arithmetic sequence because there is a common difference of 4 between each term.
This is a geometric sequence because there is a common ratio of 2 between each term.
Add 4 to the last term to extend this arithmetic sequence.
Multiply the last term by 2 to extend this geometric sequence.

Answers

Answer:

This is an arithmetic sequence because there is a common difference of 4 between each term.

Add 4 to the last term to extend this arithmetic sequence

Step-by-step explanation:

A squirrel has a 75% chance of finding food when it is sunny, but only a 25% chance of finding food when it is raining. Suppose there is a 50% chance of rain. What is the probability that a squirrel will find food?

Answers

Answer:

The probability is 0.5

Step-by-step explanation:

If there is a 50% chance of rain, then there is also a 50% chance of not rain.

Now let's write all the probabilities:

(just take the percentage and divide it by 100%)

Probability of rain: p = (50%/100%) =  0.5

probabiity for the squirrel to find food when it rains: q = (25%/100%) = 0.25

Then the joint probability, this is, the probability that rains and that the squirrel finds food, is equal to the product of these two probabilities, this is:

P1 = 0.5*0.25 = 0.125

And we also have the case where there is no rain.

Probability that does not rain: p' = (50%/100%) = 0.5

Probability that the squirrel finds food if doesn't rain: q = (75%/100%) = 0.75

The joint probability is:

P2 = 0.5*0.75 = 0.375

The total probability that the squirrel will find food is equal to the sum of the probabilities of the squirrel finding food if there is rain, and the probability of the squirrel finding food if there isn't rain, so the total probability is:

P = P1 + P2 = 0.125 + 0.375 = 0.5



Joel purchased an engagement ring with his credit card. His card has an APR of

13.99% and he must pay at least 3% of the balance at the end of each month. If

his carry-over balance for this month is $9,026.74 and he has made no

additional purchases, what would Joel's finance charge be at the end of the

month?

Round your answer to the nearest cent.

Answers

Answer:

What is your definition of finance charge?

the interest is $105.24

3% of what he owes (the minimum) is $273.96

Step-by-step explanation:

$9,026.74

+9,026.74 * (.1399/12) = $105.2367438

($9,026.74 + $105.24)*(.03) = $273.96

Answer:

33.19

Step-by-step explanation:

$2846.89

$2846.89 * (.1399/12) = 33.189992583333333333333333333333

Finance Charge is $33.19

Use log 3 = .477 and log 6 =.778 to approximate the expression. log 2​

Answers

Answer:

0.301

Step-by-step explanation:

Given that log 3 = .477 and log 6 =.778

Log 2

= log(6/3)

= log 6  - log 3

= 0.778 - 0.477

= 0.301

Hence the value of log 2 is 0.301

Step by step explanation

Using the graph, determine the coordinates of the vertex of the parabola.

Answers

Answer:

The coordinates of the vertex is (6,4).

Step-by-step explanation:

The vertex is the highest or lowest point on the parabola (curved line).

What is the quotient represented by the model?

Answers

Answer:

0.4

Step-by-step explanation:

If we count up all of the colored squares, we will get 28. And if we count the non-colored squares we will get 72.

Now, we take 28 and we divide it by 72. This will get us 0.3888888. That number rounded up is 0.4.

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

if you give me the correct answer then I will mark as brainliest​

Answers

It's is b cause it is and yeah

Answer:

a

Step-by-step explanation:

Need help rn please

Geometry

Answers

Answer:

Step-by-step explanation:

9). Dimensions of the logo = 4 inch by 6 inch

   ∵ 12 inches = 1 feet

    ∴ 1 inch = [tex]\frac{1}{12}[/tex] feet

   Therefore, dimensions of the logo (in feet) will be,

   [tex]\frac{4}{12}[/tex] feet by [tex]\frac{6}{12}[/tex] feet  Or [tex]\frac{1}{3}[/tex] feet by [tex]\frac{1}{2}[/tex] feet

   Dimensions of the logo which are 6 times larger than the original one.

    Dimensions of the advertisement = [tex]\frac{6}{3}[/tex] feet by [tex]\frac{6}{2}[/tex] feet

                                                            = 2 feet by 3 feet

    Area of the advertisement = 2 × 3

                                                = 6 feet²

10). By the property of similar polygons,

     "Corresponding sides of two similar polygons are proportional"

     If the dimensions of two similar polygons are 'x' and 'kx'

     Ratio of the perimeter of two polygons = [tex]\frac{\text{Perimeter of the image polygon}}{\text{Perimeter of the original polygon}}[/tex] = k

     Ratio of area of two similar polygons = [tex]\frac{\text{Area of the image polygon}}{\text{Area of the original polygon}}[/tex] = k²

     Ratio of volumes of two similar polygons = [tex]\frac{\text{Volume of the image polygon}}{\text{Volume of the original polygon}}[/tex] = k³

What line on a coordinate plane is called the x-axis? Horizontal or Vertical. Please respond as quick as possible​

Answers

Answer:

it's called the horizontal line

Step-by-step explanation:

also known as y=0

Please answer quickly, simple geometry

Answers

OPTION C IS THE CORRECT ANSWER.

0.16 which number is in the hundreds place​

Answers

The 6 is in the 100ths place

Answer:

A decimal is always placed in this order :

thousands, hundreds, tens, separator, tenths, hundredths, thousandths.

In this case, the number 6 is in the hundredths place, and there is no HUNDREDS place.

Help please I’ll give you the brainliest I really got to get this done

Answers

Answer:

56

Step-by-step explanation:

Function A is a linear function. Which of the following functions has the same y-intercept as Function A?

Answers

Answer:

y = -4x - 5

Step-by-step explanation:

The function that has the same y-intercept as function A is y=4x+5

This is because on the graph the line intercepts the y-intercept at 5.

A linear equation is y= mx+b, where b is the y-intercept

The only equation where b=5 is y=4x+5

-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, ​please-4(7j+2=10 please help, please!

Answers

Answer:

x=12 .  x=-12

Step-by-step explanation:

ONce you do the quadratic equasion than you move on to the solving part and from ther it is easy

Solve for x.
3x + 10
3x +
x = [?]

Answers

Answer: x = 28

Step-by-step explanation:

3x+10+3x+2=180

6x+12=180

6x=168

x = 28

Answer:

x=28

Step-by-step explanation:

Since both lines going up are parallel, we can label the angle to the left of the angle with the measure of 3x+10 3x+2. These angles are supplementary as they are on different sides of the same line. This means that:

(3x+10)+(3x+2)=180

6x+12=180

6x=168

x=28

Which of the following rational functions is graphed below?
100
- 10
10
O A. Ax) = 3x=1
X-1
O B. F(x) =
(x - 3)(x + 1)
O C. F(X) =
(x − 3)(x + 1)
O D. F(x) = (x=3**
(+ 1)

Answers

Answer:

D

Step-by-step explanation:

D

The correct function of the graph is,

⇒ f (x) = (x - 1) / (x - 3) (x + 1)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function is shown.

Here, The graph is not defined at x = 3, and x = - 1.

Hence, By option;

The correct function of the graph is,

⇒ f (x) = (x - 1) / (x - 3) (x + 1)

Thus, The correct function of the graph is,

⇒ f (x) = (x - 1) / (x - 3) (x + 1)

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

The equation y = –2x determines a linear function. Which table lists the coordinates of three ordered pairs that lie on the graph of this function?

Answers

Answer:

It b

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

I did the test

Can someone helpppppppp

Answers

Answer:

f(-2) = -3

Step-by-step explanation:

When x = -2 we want the value of y

We use the closed circle value ( open circle does not have a value)

f(-2) = -3

Please help quickly!

Answers

Answer:

the answer is 2.8

Step-by-step explanation:

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

Given:

[tex]\frac{3x}{5} -0.5=1.9[/tex]

Add 0.5 to both sides

[tex]\frac{3x}{5} =2.4[/tex]

Multiply 5 from both sides

[tex]3x=12[/tex]

Divide both sides by 3

[tex]x=4[/tex]

Hope this helps

there are 3 method to show that 40 is the sum of two prime. among all the prime , find the difference between the two largest prime

Answers

Answer:

the difference is 39? for the answer

Step-by-step explanation:

The question is not exactly worded in such a way that one can tell how it should be answered.

If it means that 40 is the suim of 2 primes done 3 ways then the 3 answers are

17 + 23

37 + 3

11+ 29

So the difference between 37 and 29 = 8

There are no guarantees about this answer. I'm just doing it the way the question reads.

Colin buys a tv for £530.
It depreciates at a rate of 3% per year.
How much will it be worth in 5 years?
Give your answer to the nearest penny where appropriate.

Answers

Answer:

£455.13

Step-by-step explanation:

3% = .03

p = 530(1 *- .03)⁵

p = 530(.97)⁵

p = 455.129033621

Rounded

£455.13

What is the area of the figure shown below, in terms of π ?



(?+?π)square units​

Answers

The answer is 56 pie r*2

What type of transformation does shape A undergo to form shape B?

Answers

the answer is a 90° clockwise rotation

Other Questions
Razon trigonometra que se requiere para calcular la altura de la torre si desde una distancia de 50 m se observa su punto mas alto con un ngulo de 48 Complete these sentences with your own idea1. The police should be allowed to...2. Parents must let their children...3. In a modern society, people should be allowed to...4. If we make our children... 5. It is extremly important to let criminals...6. Dangerous dogs shouldn't be allowed to...7. I believe corrupt politicians should be made to...8. In many schools, pupils are made to... Find the median of the data.The number of girls per classroom.11, 3, 1, 12, 5, 3, 2Median: [?] girlsoto What's MorePlace Me baby!1. Decide where each event would be located on the scale above. Place the each event on the appropriate place on the probability scale. Event: A. You will see a live dinosaur on the way home from school today. B. A solid rock dropped in the water will sink. C. A round disk with one side red and the other side yellow will land yek when flipped. D. A spinner with four equal parts numbered 1-4 will land on the 4 on the E. Your full name will be drawn when a full name is selected randomly containing the full names of all of the students in your class. F. A red cube will be drawn when a cube is selected from a bag that he cubes and five red cubes. G. Tomorrow the temperature outside will be -250 degrees. I need your answer he said to me,Are you a singer? (change in indirect speech) the pH of a solution is 2.0. what is the [OH^-] concentration? PLEASE HELP ME PLEASEFind the volume of the sphere.r= 3 cmFormulas for SpheresS.A. = 4nr?V = frr? V = [?] cm3Round to the nearest tenth.PLEASE HELP ME PLEASE Susan claims that she can throw a dart at a dartboard from a distance of 3.0m and hit the 5.0cm wide bull's-eye if she throws horizontally with a speed of 20 m/s. She starts to throw at the same height as the top of the bull's-eye. Will Susan hit the bull's-eye?What is being asked? How to calculate? The salesman has observed that many students are looking for cars that cost less than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected? A. The mean will shift to the right. B. The mean and the median will be the same. C. The median will shift to the right. D. The mean will shift to the left. 20 points help asapTranslate to quit into Spanish by filling in the missing letters:e_ar de what are the 3 formulas which describe the relationship between mass force and acceleration H) Fill in the blanks with right option. 1. We got this car in a lucky draw. This car is now_______. (our/ours)2. Most of _____do not learn from our mistakes. (we/us) 3. Is this beautiful pair of shoes_______? (your/yours)4. They do not work as hard as ________.(we/us) 5. He is richer than _______. (I/me)6. Wish _____good luck. (I/me) 7. I am as tall as _______(she/her) Organizations can use common core security principles recommended as industry best practices when developing policies, standards, baselines, procedures, and guidelines. Which principle states that policy and standards library documents should be written to consider everyone affected, including technical, administrative, organizational, operational, commercial, educational, and legal personnel Addison's disease is characterized by which of the following symptoms?a) Hypoglycemiab) Weight lossC) Swelling of the lips and nosed) Electrolyte imbalancee) Sensitivity to coldPlease help 17 Kayla wants to give a third of a pie toeach of her 25 relatives. She hasalready baked 6 pies. How manymore pies will she need to bake sothat each relative can have a third? 1. Solve the quadratic by taking square roots.3x2 - 7 = 140 What are the TWO characteristics of an effective collision? describe about chromatography Which best describes Germany's standard invasion strategy at the beginning ofWorld War II of attacking lightning fast deep into enemy territory?1) Kamikaze attacks2) Blitzkrieg3) Banzai attacks4) Sitzkrieg An expandable balloon contains 3.50 dm3 of helium at 101. kPa and 23.0oC. What volume will the balloon occupy when the pressure drops to 85.0 kPa and the temperature is 10.0oC?