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

Learn more about Triangle solved here:

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Related Questions

heres what i needed help on

Answers

Answer:

1. 6000

2. 40.83%

3. 51.67%

4. misc

Step-by-step explanation:

1 add all the numbers together

2 divide payroll amt by entire amt

3 add the rent and inventory then divide by total spent in the month

4 300/6000= .5 ( which in percent form( multiply by 100) equals 5%)

Please help me I need it by 11:59!!!!!!!!!!!!!!

Answers

Answer:

f(x)=0.5x+3.5, x<1

f(x)=-2x+6, x>1

Step-by-step explanation:

Find the Point of Interest, which is at x=1 because the direction changes. Find the slope (rise/run) of the line on the left which is 1/2 or 0.5. Find the y-intercept by plugging in the given point: (-3, 2). 0.5(-3)+c=2 so the y-intercept is 3.5. Do the same for the line on the right.

plz help will give brainliest

Answers

Answer:

Step-by-step explanation:

Its the fourth choice, 8000 is closer to 8132 so you would round that down instead of choosing 8500. Also, 8000 ÷ 20 = 400

Find XY. (help pleaseee)

Answers

Answer:

XY = 15

Step-by-step explanation:

Its in the image.

I used Pythagoras theorem in solving for the unknown side.

Sorry for the rough working

The local grocery store will purchase food items and mark them up 115%. If the wholesale price of an item was $3.50, what price will the customer pay for the item?

Answers

Answer

10.25

Step-by-step explanation:

pls mark me as brainliest its required :)

The answer to this question is 10.25

y=2x+5. It says Complete the missing value in the solution to the equation. I NEED TO SOLVE FOR X

Answers

Answer: X=y/2-5/2

Step-by-step explanation:

Answer:

x=1/2y+(−5/2) or x=y-5/2

Step-by-step explanation:

Step 1: Flip the equation.

2x+5=y

Step 2: Add -5 to both sides.

2x+5+−5=y+−5

2x=y−5

Step 3: Divide both sides by 2.

2x/2=y−5/2

x=1/2y+(−5/2) or x=y-5/2

what is the geometric mean of 4 and 49

Answers

the geometric mean is the square root of the product so it’s the square root of 196 which is 14

14

Step-by-step explanation:

4 × 49 =196

The square root of 196 is 14

hope it helps!

I need help showing work and explain the reason

Answers

Answer:

Ok

Step-by-step explanation:

-3x-5=16

at 5 to both sides

-3x=21

divide by -3

x= -7


A basketball player made 44 out of 100 attempted free throws. What percent of free throws was made?

Answers

Answer:he has a 44% free throw rate

Step-by-step explanation:

44% because 44/100 = .44 .44x100 = 44%

Identify the x- and y-intercepts of the equation
4x - y = 8

Answers

Answer:

[tex]\boxed{\boxed{\pink{\sf \leadsto The \ x - intercept \ is \ (2,0) \ \& \ the \ y \ intercept \ is \ (-8,0) }}}[/tex]

Step-by-step explanation:

A linear equation is given to us and we are required to find x and y Intercepts to it. So the given linear equation to us is ,

[tex]\bf \implies 4x - y = 8 \\\\\bf\implies \dfrac{1}{8} \bigg( 4x -y\bigg) =\frac{1}{8}\times 8 \\\\\bf\implies \dfrac{4x}{8}-\dfrac{y}{8} = \dfrac{8}{8} \\\\\bf\implies \dfrac{x}{2}-\dfrac{y}{8}=1 \\\\\bf\implies\boxed{\red{\bf \dfrac{x}{2}+\dfrac{y}{-8}=1 }}[/tex]

Hence on comparing to standard form we get

x intercept as (2 , 0 )y intercept as (0,-8)

Hence the x - intercept is ( 2 , 0 ) and the y - intercept is ( 0 , -8 ) .

Answer:

x = (2,0)

y = (0,-8)

Step-by-step explanation:

Remember than an intercept always has the other number as 0.

Let's put this in standard form of a linear equation, or y = mx + b

4x - y = 8

-y = -4x + 8

y = 4x - 8

"b" is the y intercept. The y intercept is -8, or (0,-8)

Now, to find the x intercept, all we have to do is substitute 0 for y.

0 = 4x -8

8 = 4x

2 = x

The x intercept is 2, or (2,0)

sfdshjkjresahjklkuyresdcvbhjiuyr

Answers

Answer:

Zero slope is the answer

Subtract 4(2x-7) from 5(3x-2)

Answers

Answer:

7x+18

Step-by-step explanation:

Multiplay the numbers by for and five and solve

6-x=5x+30

I need help understand this problem step by step

Answers

6

x

=

5

x

+

30

6

-

x

=

5

x

+

30

Move all terms containing

x

x

to the left side of the equation.

Tap for more steps...

6

6

x

=

30

6

-

6

x

=

30

Move all terms not containing

x

x

to the right side of the equation.

Tap for more steps...

−6x=24-6x= 24 Divide each term by −6-6 and simplify. x=−4

Answer:

The answer would be x= -4

Explanation:

6-x=5x+30
-x-5x=30-6
-6x=24
-6x/-6=24/-6
X= -4

I hope this helps, if you have questions don’t hesitate to ask!!

Find the slope of the line 3,0 and 0,-3

Answers

Answer:

1

Step-by-step explanation:

The slope of the line is 1. To find slope use the formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex], this calculates the change in y over the change in x. So plug in the known values [tex]\frac{0+3}{3-0}[/tex], this equals 3/3 or 1. This means every time y increases by 1, x will also increase by 1.

what is the answer to this eqution 3.5(x+2)=-4 ? could you please help me thank you

Answers

Answer:

x=-3.14

or -3 with -.5 remainder

Step-by-step explanation:

PEMDAS

Parenthesis Exponent Multiply Divide Add Subtract

parenthesis  3.5*x=3.5x 3.5*2=7

3.5x+7=-4

subtract 7 from both sides

3.5x=-11

divide both sides by 3.5

x=-3.14

or -3 with -.5 remainder

Answer:

x=-22/7

Step-by-step explanation:

multiply 3.5 and x then multiply 3.5 and 2. this will get you 3.5x+7=-4. next you need to subtract the 7 from the -4, resulting in 3.5=-11. finally divide -11 and 3.5, after that you get the answer of x=-22/7 or -3 1/7. if you need decimal form that will be -3.142857

HELP PLEASE (i will give brainliest!)​

Answers

AGF:55
BGC: 35
CGD: 55
EGD: 90

Help me please due in 1 hour

Answers

Answer:

X=4

Third bubble

X=25 I think not quite sure though

what is the value of (4x-5)-(3x-10)

Answers

Answer:

-5

Step-by-step explanation:

12x^2-55x+50 hope this helps!!

What is the ratio 28 : 35 written in lowest terms?
09:15
07:19
0 4:5
03:7

Answers

Answer:

4:5

[tex]28 : 35 = \frac{28}{35} = \frac{4}{5} = 4 : 5 [/tex]

04:5
Ndnndndnnsnsndbbdbdbdb

6·(10-x)
helppp plssss

Answers

Answer:

6(10-x)

60-6x

Step-by-step explanation:

prove me wrong

Jenna has already cycled 8 kilometers this year,plus she plans to cycle 2 kilometers during each trip to work.Write an equation that shows the relationship between the number of trips to work t and the total distance cycled d.

Answers

Answer:

[tex]d = 8 + 2t[/tex]

Step-by-step explanation:

Given

[tex]Rate = 2km/trip[/tex]

[tex]Base\ Cycle = 8km[/tex]

[tex]d = total\ distance[/tex]

[tex]t = cycles[/tex]

Required

Determine the expression for this scenario

The expression can be derived from:

[tex]Total\ Distance = Base\ Cycle + Rate * Cycles[/tex]

Substitute d for Total Distance and t for cycles

[tex]d = Base\ Cycle + Rate * t[/tex]

Substitute values for Base Cycle and Rate

[tex]d = 8 + 2* t[/tex]

[tex]d = 8 + 2t[/tex]

Practice Pages 69&70

Answers

Answer:

Yes, Teacher

Step-by-step explanation

Lancé le 26 novembre 2011, le Rover Curiosity de la Nasa est chargé d'analyser la planète Mars. il a atterri sur la planète rouge le 6 août 2012, parcourant ainsi une distance d'environ 560 millions de kilomètres en 255 jours. quelle est la durée du vol?

Answers

Answer: La durée de la vol entire est 560 millions de miles. La durée par hour est 2.19 millions de miles par hour.

Step-by-step explanation: Je ne sais pas sûr que Je comprends la question exactement. Si on doit trouver la durée par hour, il faut divider 560000000 par 255.

Matt paid $18.64 for 4 pounds of cashews. How much would he pay if he purchased 6 pounds of cashews?

Answers

18.64 divided by 2 is the cost for 2 pounds

so 9.32 is 2 pounds plus 18.64 for 4 pounds

$27.96 for 6 pounds
Matt paid $18.64 for 4 pounds of cashews. How much would he pay if he purchased 6 pounds of cashews?

Answer-32.62

Solve the following equation using the substitution method 2x - y = -2 y = 8

Answers

X will equal 3 bc 2x-8=-2 2x=6 x=3

I don’t get this side of algebra need answer

Answers

Answer:

b

Step-by-step explanation:

Suppose a normal distribution has a mean of 34 and a standard de ration of 2. What is the probability that a data value is between 30 and 362 Pound your answer to the nearest tenth of a percent. A. 82.9% B. 83.9% C. 81.9% D. 84.9%​

Answers

Answer:

so my name is cene  and i have that question and its b

Step-by-step explanation:

Answer: 81.9

Step-by-step explanation:

Just took the quiz

The radius of a circle is 8 miles. What is the circle's circumference?

Answers

Answer:

50.27 mi

Step-by-step explanation:

lol

The radius of a circle is 1 foot. What is the area of a sector bounded by a 90 degree arc?

Answers

Answer:

The answer is 11/14 ft^2 or pi/4 ft^2

Step-by-step explanation:

The area of the sector bounded by that angle measure will be the area of the circle divided by 4

Area of the circle is;

pi * r^2

so the area here is;

22/7 * 1 * 1 = 22/7

divide this by 4

= 22/28 = 11/14 ft^2

Seven less than three times a number is 14. Find the number.

Answers

Answer:

Steps:

Use the equation 3x-7=14 to find the missing number.

Add 7 to both sides.

3x=21

Divide both sides to isolate x

x=7

Therefore, the correct answer is 7.

You can check by multiplying 7 by three and then subtracting 7 from it and get 14.
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