Solve the triangle.

B = 36°, a = 41, c = 20

choices:
b ≈ 27.5, C ≈ 115.5, A ≈ 28.5
b ≈ 45.3, C ≈ 25.5, A ≈ 118.5
b ≈ 45.3, C ≈ 29.5, A ≈ 114.5
b ≈ 27.5, C ≈ 25.5, A ≈ 118.5

Answers

Answer 1

The triangle solve for B = 36°, a = 41, c = 20 is:

b ≈ 27.5, C ≈ 115.5, A ≈ 28.5

Triangle

To solve the triangle, we can use the Law of Cosines, which states that for any triangle with sides a, b, and c and angles A, B, and C opposite those sides,

c² = a² + b² - 2ab cos(C)

We can use this formula to find the length of the missing side b:

b² = a² + c² - 2ac cos(B)

b² = 41² + 20² - 2(41)(20) cos(36°)

b² ≈ 1074.12

b ≈ 32.8

Now that we have found the length of side b, we can use the Law of Sines to find the measures of angles A and C:

sin(A) / a = sin(B) / b

sin(A) / 41 = sin(36°) / 32.8

sin(A) ≈ 0.274

A ≈ 16.5°

We know that the angles in a triangle add up to 180°, so C = 180° - A - B ≈ 127.5°.

The closest choice to these values is:

b ≈ 27.5, C ≈ 115.5, A ≈ 28.5

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Related Questions

Solve for x. Enter the solutions from least to greatest.
(x+15)^2-10=0

Answers

Answer:

lesser x = -1.84lesser x = -8.16

Step-by-step explanation:

Given the expression

[tex]\left(x+5\right)^2-10=0[/tex]

Add 10 to both sides

[tex]\left(x+5\right)^2-10+10=0+10[/tex]

Simplify

[tex]\left(x+5\right)^2=10[/tex]

[tex]\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

solve

[tex]x+5=\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=\sqrt{10}-5[/tex]

[tex]x=\sqrt{10}-5[/tex]

[tex]x=-1.8[/tex]

so

[tex]x+5=-\sqrt{10}[/tex]

Subtract 5 from both sides

[tex]x+5-5=-\sqrt{10}-5[/tex]

Simplify

[tex]x=-\sqrt{10}-5[/tex]

[tex]\:x=-8.2[/tex]

As -1.84 > -8.16

so

lesser x = -1.84lesser x = -8.16

Find the measure of the missing angles

Answers

1- 38
2-90
3-38
hopefully i’m right i’m not 100% sure though :)
Angle 1 is 52 angle 2 is 79 angle 3 is 38

help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: C. 1 - x

Step-by-step explanation:

1/100 = 0.01

10/100 = 0.1

1 - 100 = -99

10 - 100 = -90

Answer:

C

Step-by-step explanation:

A. 1/100

B. 10/100=1/10

C. 1-100=-99

D. 10-100=-90

56 is 0.4% of what number?​

Answers

Answer:

140

Step-by-step explanation:

Let the number = x

Hence, the expression can be written has:

0.4 of x = 56

0.4x = 56

Divide both sides by 0.4

0.4x / 0.4 = 56 / 0.4

x = 140

Hence, 56 is 0.4 of 140

solve the proportion 9x=62

Answers

Answer: x=6.8

Step-by-step explanation:

I figured it out ;)

Answer:

x=6.889

Step-by-step explanation:

9x=62

x=62/9

x=6.889

Find the sum of 4x^2-4x+104x
2
−4x+10 and 2x^2+5x-82x
2
+5x−8.

Answers

The sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

What is polynomial?

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]

We have:

First expression:

[tex]\rm 4x^2-4x+10[/tex]

Second expression:

[tex]\rm 2x^2+5x-8[/tex]

Let's denote the sum of these two expressions with F(x)

[tex]\rm F(x) = \rm 4x^2-4x+10+\rm 2x^2+5x-8\\\\\\\rm F(x) = 6x^2+x+2[/tex]

Thus, the sum of the expression 4x^2-4x+10 and the expression 2x^2+5x-8 is 6x^2+x+2 because the sum of the x^2 term is 6, the sum of the x term is 1, and the sum of the constant term is 2.

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I really don’t understand these two question plz help

Answers

Answer:

1) I would remove the '-2' first by adding '2' to both sides. Technically, it does not matter the order you remove the '5' or '-2' though it would be more of a hassle if you were to remove the number associated w/ a variable as you would do extra steps when there is a possibility to do it in less steps. So, ideally, it does matter but depending on your perspective.

2) You would begin by turning '1' into a fraction that has the same denominator as the fraction it is to be added to. This would get you 7/7. Then, you add 7/7 to 4/7 in order to get your final answer of 11/7. You could also just put the two numerical values together as '1 4/7' but I am inferring they want it in an improper fraction format. The steps to get an improper fraction are ideal since it is the simplest way to get to the final answer.

If you have any more questions please comment them and I will be happy to answer them if I can ^^


someone help PLEASEEEE

Answers

Answer:

No. 3: x>_by-c-d/a

Step-by-step explanation:

I'm pretty sure about it

Evaluate the expression when a=−2 and b=3.
ab=

Answers

Answer:

ab = -2 * 3 = -6

Step-by-step explanation:

What is the sum of the 16th square number and the 6th square number?

Answers

Ne demek istoyusun anlamadım

ASAP, I NEED HELP!!!
ILL GIVE YOU 20 POINTS!!!!
PLEASE GIVE ME THE ANSWER AND HOW YOU GOT THE ANSWER

Answers

Answer:

B) 37.5 cm squared!

Step-by-step explanation:

First, we know that a triangular prism has 5 faces, so in order to find the surface area of this prism, we must find the area of each face, and then add them together.

Face 1 (Rectangle): 6.5 * 1.5 = 9.75

Face 2 (Rectangle): 6 * 1.5 = 9

Face 3 (Rectangle): 2.5 * 1.5 = 3.75

Face 4 (Triangle): (6 * 2.5)/2 = 6

Face 5 (Triangle): (6 * 2.5)/2 = 6

Now, we add all the areas of the faces together.

9.75 + 9 + 3.75 + 6 + 6 = 37.5

37.5 is the surface area of the whole triangular prism.

Identify the constant of proportionality from the table.

Answers

It’s A. 9 the equation is y=9x+0

Answer:

A. 9

Step-by-step explanation:

A P E X

help me please!!!!! :D

Answers

Answer:

13 or 30

Step-by-step explanation

Practice Pages 69&70

Answers

Answer:

Yes, Teacher

Step-by-step explanation

What is (-3,4) (5,-2) in slope intercept form?

Answers

Answer:

y=-3/4x+7/4

Step-by-step explanation:

Answer:

I got y = -3/4x + 7/4.

Might be wrong, but I'm pretty sure.

1. You spend $18 on breakfast and tax is 7%. Wha is your total? ​

Answers

Answer:

the answer is $20.33 I hoñe it helps

URGENT!!! PLEASE HELP (30 points !!!)

Use the line tool to graph the equation on the coordinate plane.


y=-3

Answers

the line with the arrows is where y=-3 is

simplify 5 x a x 5 x a

Answers

Answer:

25 a squared

Step-by-step explanation:

please give me a brainliest!!<3

6.
20n = 300
What’s the answer

Answers

Answer:

n=15

Step-by-step explanation:

300/20=15

n=15

Answer:

n = 15

Step-by-step explanation:

I took 300 and divided it by 20 to find n.

300 / 20 = 15

To check the answer, I completed this;

20(15) = 300

300 = 300

Hope this helps!

What is the value of 2x + 6 when x = 10?
Please help a girl out

Answers

Answer:

26 is the answer :) plz brainliest?

Step-by-step explanation:

2(10) + 6

20+6

26 :)

John is working for his dad during his summer vacation. Complete the rate chart below to find how much money John makes in a certain number of days.

Number of Days 15 18 21 24 27
Total Amount of Money Made (in dollars) 75 ? 105 120 135
A.
70
B.
80
C.
90
D.
105

Answers

Answer:

it's answer is C 90

hope it helps you

Answer:

the answer is 90

I hope it helps mate

I will always help you understanding your assingments

enjoy your day

#Captainpower:)

work out the difference between 77.5 and 2.27​

Answers

77.5-2.27 is equal to 75.23

hope it helps

The difference of our given numbers between 77.5 and 2.27​ is 75.23.

What is a polynomial?

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

We are asked to find the difference between  77.5 and 2.27​

Upon converting our given problem as a subtraction problem, we will get:

77.5

-   2.27

Upon subtracting our given numbers, we will get;

77.5

-   2.27

75.23

Therefore, the difference of our given numbers between 77.5 and 2.27​ is 75.23.

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What is the original price when the discount is 64% and the sale price is $72

Answers

Answer:

$200. had to edit, read the question wrong originally

Answer:  $200

=======================================================

Work Shown:

If you save 64%, then you still have to pay the remaining 100% - 64% = 36%

x = original price in dollars

sale price = 36% of x = 0.36*x = 72

0.36*x = 72

x = 72/0.36

x = 200

The original price is $200

discount = 64% of 200 = 0.64*200 = 128

You save $128

The amount you pay is 200-128 = 72 dollars, which matches with the given sale price.

if anyone knows please help!!! i'm a bit confused

Answers

Answer:

yes

Step-by-step explanation:

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If
1/4 of the drink is apple juice and
2/5 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form

Answers

Answer:

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

Step-by-step explanation:

Given

[tex]Apple = 1/4[/tex]

[tex]Orange = 2/5[/tex]

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

[tex]Cranberry + Apple + Orange = 1[/tex]

Substitute values for Apple and Orange

[tex]Cranberry + 1/4+ 2/5= 1[/tex]

Collect Like Terms

[tex]Cranberry = 1- 1/4- 2/5[/tex]

Take LCM

[tex]Cranberry = \frac{20 - 5 - 8}{20}[/tex]

[tex]Cranberry = \frac{7}{20}[/tex]

The ratio is then represented as:

[tex]Cranberry:Apple:Orange = 7/20:1/4:2/5[/tex]

Multiply through by 20

[tex]Cranberry:Apple:Orange = 20(7/20:1/4:2/5)[/tex]

[tex]Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5[/tex]

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

PLEASE HELP ITS DUE SOONNN

Answers

Answer:

Red

Step-by-step explanation:

Bc if you - 8x it would be -2y=12-8x and then you divide -2 by 12 and -8x the answer would be y=4x-6

Answer:

y = 4x - 6

Step-by-step explanation:

8x - 2y = 12

-2y = -8x + 12

-2y/-2 = -8x/-2 + 12/-2

y = 4x - 6

Magda is going to finance her car purchase using an auto loan which statement below is accurate

Answers

Answer:

where are the answer choices

Answer:

The statement that is accurate is:

"Her principal is the cost of the car, minus any down payment she makes."

Step-by-step explanation:

write a short math peom

Answers

Answer:

roses are red violets are blue 1 + 1 = 2

Step-by-step explanation:

:}

How do you expand and simplify (x-7)(x-8) ?

Answers

Answer:

x^2-15x+56

Step-by-step explanation:

(

7

)

(

8

)

(

8

)

7

(

8

)

Analyze the diagram below and complete the instructions that follow.



Find the value of x.
A. 18
B. 22
C. 24
D. 28

Answers

Answer:

A

Step-by-step explanation:

Using Pythagoras' identity on the large right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

(x + 32)² = 30² + 40² = 900 + 1600 = 2500 ( take the square root of both sides)

x + 32 =[tex]\sqrt{2500}[/tex] = 50 ( subtract 32 from both sides )

x = 18 → A

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