Consider a triangle ABC like the one below. Suppose that a = 47, b = 59, and A = 37" (The figure is not drawn to scale.) Solve the triangle,
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If no such triangle exists, enter "No solution." If there is more than one solution, use the button labeled "or",

Consider A Triangle ABC Like The One Below. Suppose That A = 47, B = 59, And A = 37" (The Figure Is Not

Answers

Answer 1

Answer:

B = 49.1°

C = 93.9°

c = 77.9

Step-by-step explanation:

Given:

a = 47, b = 59, and A = 37°

Required:

B, C, and c

Solution:

✔️To find B, apply the law of sines:

[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{sin(37)}{47} = \frac{sin(B)}{59} [/tex]

Cross multiply

[tex] 47*sin(B) = sin(37)*59 [/tex]

Divide both sides by 47

[tex] \frac{47*sin(B)}{47} = \frac{sin(37)*59}{47} [/tex]

[tex] sin(B) = 0.7555 [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

[tex] B = sin^{-1}(0.7555) [/tex]

B = 49.0690779° ≈ 49.1° (nearest tenth)

✔️C = 180° - (A + B) (sum of triangle)

C = 180° - (37° + 49.1°)

C = 93.9°

✔️To find c, apply the law of sines:

[tex] \frac{sin(B)}{b} = \frac{sin(C)}{c} [/tex]

Plug in the values

[tex] \frac{sin(49.1)}{59} = \frac{sin(93.9)}{c} [/tex]

Cross multiply

[tex] c*sin(49.1) = sin(93.9)*59 [/tex]

Divide both sides by sin(49.1)

[tex] c = \frac{sin(93.9)*59}{sin(49.1)} [/tex]

c = 77.8766982

c ≈ 77.9 (nearest tenth)


Related Questions

IM SICK OF ALL THE FAKE LINKS! Can I get help?

Answers

Answer:

equation: 28 = 2h+ h + h or you could say 28 = 4h

h= 7

Step-by-step explanation:

since both lines are the same length they equal each other.

to get h = 7 you have to solve the equation you made.

28 = 4h

28/4 = 4h/4

7 = h

mark as brainliest please :)

Perpendicular to x+y=6 and passing through (0,1)

Answers

Answer:

y = x + 1

Step-by-step explanation:

x + y = 6

y = -x + 6

Perpendicular slope to -1 is 1

(0,1)

y - y1 = m(x - x1)

y - 1 = 1(x - 0)

y - 1 = x

y = x + 1

Standard form:

y = x + 1

-x + y = 1

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Answers

Answer:

6/20 prescient chance to get a green marble and a 8/19 chance to get a purple one

Step-by-step explanation:

10, 20, 30, 40 minutes 60,120,180,240 calories burned how many calories will Alexa burn in 11 minutes

Answers

Answer:

67 calories

Step-by-step explanation:

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If mL DOC = 44º and mL COB = 80°,
find the measure of the indicated arc
in circle o.
D
с
O
E
B
mDB = [?]°

Answers

The answer is 80 arc cb has the same measures as the central angle

Answer:

124°

Step-by-step explanation:

measure of arc DC = 44 because the measure of central angle equals the measure of its arc.

measure of arc CB = 80 because the measure of central angle equals the measure of its arc.

measure of arc DC = measure of arc DC + measure of arc CB

                                = 44 + 80 = 124°

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Answers

Answer:

I'm pretty sure it is the second one because > means it won't be filled in and it means greater than so greater than 2

The Chess Club has 24 members, 14 girls and 10 boys. What is the ratio of
girls to boys in the Chess Club?
A. 3:4
O B. 7:5
O C. 5:7

Answers

Answer: I think it would be 7:5 because half of 14=7 and half of 10=5. by the way, are you good at algebra II by any chance? if so can you help me out in return for me helping you out please?

Sonya and Jade are traveling from Barcelona to Madrid. They are deciding between 333 different types of transportation (bus, train, and plane) and 222 different times (morning and evening). They each created a display to represent the sample space of randomly picking a type of transportation and a time. Whose display correctly represents the sample space? Choose 1 answer: Choose 1 answer: (Choice A) A Sonya only (Choice B) B Jade only (Choice C) C Both (Choice D) D Neither Sonya's display: \quad Jade's display: \text{B}= \text{Bus} \\ \text{T}= \text{Train} \\ \text{P}= \text{Plane}B=Bus T=Train P=Plane \text{M}= \text{Morning} \\ \text{E}= \text{Evening}M=Morning E=Evening \quad

Answers

Answer:

Step-by-step explanation:

The answer is (Sonya only) don’t know the explanation but I literally got the answer right soo trust me.

HELP, i don't understand this I put all my points pls help me with this

Answers

Answer:

I cant see

Step-by-step explanation:

Answer:

2+5*3+6*2+7*3+8*2 = 66

66/5 = 14

mean = 14

hope this helps

Step-by-step explanation:

I WILL GUVE BRAINIEST I NEED ASAP.

A car has 4 cylinders that each have a radius of 4cm and a height of
10. Use 3.14 for pi. Find the volume of a cylinder, solve for the total
volume of the engine in cubic centimeters, then round to the nearest
cubic centimeter.

Answers

Answer:

What I got for my answer for one of the cylinders is 502.65

I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^

Select the equivalent expression.
(54.6-10) “ =?
Choose 1 answer:
54. 660
524.860
360
524

Answers

Answer:

©

[tex]( {5}^{4} . { {b}^{ - 10}) }^{ - 6} = ( {5}^{4. - 6} ).( {b}^{ - 10. - 6} ) \\ = {5}^{ - 24} . {b}^{ 60} \\ = \frac{ {b}^{60} }{ {5}^{24} } [/tex]

jake plays baseball with two wooden bat one made from hickory and one made from white ash what is the weight of the white ash if his hikory bat weght 32.4 ounse and both bat togethere weight 64.33

Answers

The white ash bat weighs 31.93 ounces
The white bar weight 31.93 ounces

PLEASE H LP ME WITH THIS AND SHE WANTS US TO SHOW WORK AND I NEED THE ANSWER AND THE WORK

Answers

ok lets convert first

1/2=0.5

Then divide

2/0.5=4

so now we multiply 50 with 4

50*4=200

The answer would be D

D, 200 miles

Beverly wants to list the following numbers in order from greatest to least l. Place the rational number in order from greatest to least? 1/6 6% 0.012 1/12

Answers

Answer:

0.012, 1/12 , 6% , 1/6

Step-by-step explanation:

To put these numbers in order, you need to first put them in the same form. Let's turn them all into decimal form.

* To put fractions in decimal form you need to divide the numerator into the denominator.

* To put a percent into a fraction you need to understand that this percent is out of 100. ex: 6% = 6/100 , 3% = 3/100 11% = 11/100. so in order to put the new fraction into a decimal, you put it in the correct decimal place. This is wrong 6/100 = .60 this reads 6 tenths so we need to go over a decimal place.

This is correct 6/100 = .06 This is 6 tenths.

So let's go through:                                             _

   1 divided by 6 equals                                  0.16

   6% is equal to                                               .06

   0.012 is already in decimal form               0.012      _

 1 divided by 12 equals                                         0.083

 #Always remember you have to put the numbers in the original form that they were given.

# Also the more decimal places a number has behind the decimal the less the number

               Ex:  0.012 > 0.011 Even though these have the same decimal place 0.012 is greater because it's a greater number.

0.12 > 0.012

perpendicular sides mean plz

Answers

Answer:

lines that will never touch

Step-by-step explanation:

these are lines that you could keep drawing and they will never cross or touch

The relationship between the length and weight of certain sea turtles can be approximated by the equation L = 0,55 W,
where L is the length in feet and W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?

Answers

Answer:

4.55 pounds

Step-by-step explanation:

From the above question , we are told that:

The relationship between the length and weight of certain sea turtles can be approximated by the equation

L = 0.55 W,

where

L is the length in feet

W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?

L = 2.5 feet

Hence,

2.5 = 0.55W

W = 2.5/0.55

W = 4.5454545455 pounds

Approximately, weight of the sea turtle in pounds = 4.55 pounds

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Answers

Answer:

answer: 521

Hope that helps!

Find the slope intercept form.

Answers

Answer:

y = 3x + 9

Step-by-step explanation:

y = 3x + 6

Parallel slope = 3

(-2, 3)

Slope-intercept:

y - y1 = m(x - x1)

y - 3 = 3(x + 2)

y - 3 = 3x + 6

y = 3x + 9

1
Write an algebraic
expression for:
Seven added to five
times a number

Answers

Write an algebraic expression for: seven added to five times a number

Answer:

7 + 5x

If the graph of a function increases as x increases and decreases
as x decreases, the degree must be _____

Answers

Answer:

Degree must be odd.

Step-by-step explanation:

In the end behavior of quadratic functions, the graph will either rise or fall as x increases infinitely. Likewise it will also rise or fall as x decreases infinitely.

Now, when x increases or decreases up to infinity(∞) and f(x) increases up to infinity (∞), it is said to be an even powered function and thus the degree is said to be even.

Similarly, when x increases up to infinity(∞) and f(x) increases up to infinity(∞), it is said to be an odd powered function and degree is odd.

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Rhona decided to buy a larger 1 1/4 pound package of baking flour rather than a 5/8 pound package. How much heavier is a larger package than a smaller one?

Answers

Answer:It is 5/8 of a pound heavier

Step-by-step explanation:

1 1/4 - 5/8=5/8

Answer:

The larger package is twice as heavy

Step-by-step explanation:

first make 1 1/4 into 5/4 and then multiply the top and the bottom by 2 to get a common denominator of 8. you will end up with 10/8. you can then subtract 5/8 from 10/8, leaving you with 5/8.

3 x 2 ?? mark brainlyyyyyy​

Answers

Answer:

6

Step-by-step explanation:

Hope it helps kkkkkjjj9

Answer:

easy 3x2=6

Step-by-step explanation:

it is basically 2 groups of 3 or 3+3 which is 6

the 6% state income tax on a 42.000 salary help

Answers

Answer:

$2520

Step-by-step explanation:

would it be 42$ or 42000$? if its 42000$ it would be $2520

42000/100*6

A machine packages bags of almonds. The weights of the bags are normally distributed with a mean of 14 ounces and a standard
deviation of 1.2 ounces.
Enter the Z-score of a bag of almonds that weighs 12.2 ounces.

Answers

Answer: -1.5

Step-by-step explanation:

took the test

The z-score of a bag of almonds weighing 12.2 ounces will be negative 1.5.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

A machine packages bags of almonds.

The weights of the bags are normally distributed with a mean of 14 ounces and a standard deviation of 1.2 ounces.

Then the z-score of a bag of almonds weighing 12.2 ounces will be

z-score = (x - mean) / SD

z-score = (12.2 - 14) / 1.2

z-score = -1.8 / 1.2

z-score = -1.5

More about the normal distribution link is given below.

https://brainly.com/question/12421652

#SPJ2

A cuboid has 4 rectangular faces and 2 square faces. Each rectangular face measures 8 cm by 6 cm. Find the two possible values for the surface area of the cuboid.
pls give me answer with steps

Answers

Answer:

320 cm² or 264 cm²

Step-by-step explanation:

first, the rectangular face area is 4 faces at 8 x 6 = 192 cm²

the 2 square faces will be either 8 x 8 or 6 x 6.

If 8 x 8, then the SA will be 192 + (2 x 8 x 8 ) = 320 cm²

If 6 x 6, then the SA will be 192 + (2 x 6 x 6 ) = 264 cm²

How many possible outcomes are possible if you choose from 2 ice cream flavors, 3 toppings, and a waffle cone or a cup?

A) 6
B) 12
C) 2
D) 8

Answers

Answer.) B.12
I did the math

Hannah selects a marble randomly from a jar containing 11 green, 5 yellow, and 4 red marbles. Develop a probability model based on theoretical probability

Answers

55%green25%yellow20%red

Use the function below to find F(2)

F(x)=1/3•4^x

Answers

Answer

The answer is 16/3

Step-by-step-explain

F(x) = ⅓ • 4ˣ, F(2)

F(2) = ⅓ • 4²

F(2) = ⅓ • 16

F(2) = 16/3

Thus, The answer is 16/3

-TheUnknownScientist

Answer:

Step-by-step explanation:

16/3

I hope it's helpful

Solve for x. Round your answer to the nearest tenth if necessary.

Answers

Answer:

Step-by-step explanation:

9^2 + 15^2 = x^2

   81 + 225 = x

          17.49 = x

Rounded to the nearest tenth:

                 x = 17.5

     

for brainiest:):):):):):):):)

Answers

Answer:

(a) 0.6

(b) 0.4

Step-by-step explanation:

If I am reading the little table right, You have made 9 shots, and have missed 6 of them. Therefore, in total, you have made [tex]9+6=15[/tex] shots.

The definition of probability is the number of events of a desired outcome divided by the total number of outcomes. Since you wish to make a shot for part a, the number of desired outcomes thus far is 9, out of 15 total shots. Thus,

[tex]P([/tex]making a shot[tex])=\frac{9}{15}=\frac{3}{5}=0.6[/tex]

Since making a shot and not making a shot are mutually exclusive events, and the only two events that could occur when shooting a basket, the probability of not making a shot and the probability of making a shot are all of the possible outcomes, and is thus equal to 1.

[tex]P([/tex]making a shot[tex])+P([/tex]missing a shot) [tex]=1[/tex]

[tex]P([/tex]missing a shot[tex])=1-P([/tex]making a shot[tex])[/tex]

[tex]P([/tex]missing a shot[tex])=1-0.6=0.4[/tex]

QED

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