Solve the following triangle using either the law of sines or the law of cosines b=6 , c=12, A=48°

Answers

Answer 1

9514 1404 393

Answer:

  (a, B, C) ≈ (9.15, 29.2°, 102.8°)

Step-by-step explanation:

The given angle lies between the given sides, so the law of sines cannot be used. The third side is ...

  a² = b² +c² -2bc·cos(A) ≈ 83.6452

  a ≈ √83.6452 ≈ 9.146

__

Then angle B is found from the law of sines. We want to find the smaller angle, so we can tell if the triangle is acute or obtuse.

  sin(B)/b = sin(A)/a

  B = arcsin(b/a·sin(A)) ≈ arcsin(0.48753)

  B ≈ 29.2°

  C = 180° -48° -29.2° = 102.8°

The solution to the triangle is (a, B, C) = (9.1, 29.2°, 102.8°).

Solve The Following Triangle Using Either The Law Of Sines Or The Law Of Cosines B=6 , C=12, A=48

Related Questions

Monica uses 3 tablespoons of milk in her custard recipe. The ratio of tablespoons to fluid ounces is 2 : 1. How many fluid ounces of milk does Monica use?
(A) 0.5 fluid oz.
(B) 1 fluid oz.
(C) 1.5 fluid oz.
(D) 3 fluid oz.
(Also no fractions included and please help meh know please)

Answers

Answer:

b b b b b b b b b b b b b b b b b b b b b b

Find the slope of the line
Need help, don’t understand

Answers

Answer: 3/2

Step-by-step explanation:

1. Slope is rise over run (difference in Y over the difference in X)

2 Look for a point where the line intersect both x and y  

        (0,0) and (2,3)

3.Starting at (0,0) count up until you reach 3. That is the rise. Now

        count over until you reach the 2. That is the run.

4. From 0 to 3 is 3 Rise

   From 0 to 2 is 2 Run

5. Slope is Rise over Run: 3/2

A box is in the shape of a triangular prism. . The base of the triangular face of the box is 11 centimeters (cm). The height of the triangular face of the box is 7.5 cm. The length of the box is 15 cm. V =1/2hxbxl What is the volume of the box? A 277.5 cm B 577.5 cm C 618.75 cm D1237.5 cm

Answers

Answer:

[tex]618.75 cm^{3}[/tex]

Step-by-step explanation:

[tex]\frac{(11 cm)(7.5 cm)(15 cm)}{2} =618.75 cm^{3}[/tex]

Write a three digit number that gives same answer when rounded to the nearest ten and to the nearest hundred .explain

Answers

Answer:

Numbers can be rounded to the nearest ten, the nearest hundred, the nearest thousand, the nearest million, and so on. All the numbers to the right of the place you are rounding to become zeros. Rounded numbers are easier to remember and easier to use.

3x-47=180 solve for x

Answers

Answer:

x=75.66

Step-by-step explanation:

+47  180+47

3x=227

divide 3 on each side

x=75.66

3x-47=180

add 47 to both sides

3x=227

divide by 3

x= 75 2/3

find the average rate of change of f(x)=5x^2-3 from 3 to 9

Answers

9514 1404 393

Answer:

  60

Step-by-step explanation:

The average rate of change on the interval is ...

  (f(9) -f(3))/(9 -3) = ((5·9² -3) -(5·3² -3))/(9 -3) = (402 -42)/6 = 60

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the fraction in simplest form.
6/22=?

Answers

Answer:

3/11

Step-by-step explanation:

Divide both the numerator and denominator by 2.

[tex]\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}[/tex]

round 45,621 to the nearest 10

Answers

Answer:

45621.0

Step-by-step explanation:

Already rounded to the nearest tenth.

Answer

the answer to this question is 45620.

2. Arcadia charges players a $15 admission fee to their gaming centre and $5 per game.

b) What is the rate of change for the relation between total cost and number of games and what is its
meaning in this relation?

c) What is the initial value for this relation and what is its meaning?

Answers

Answer:

1) The relationship is times 3

2) it is 5x3 so this the teh relation

Step-by-step explanation:

I got 100% in the question and qiz

5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.

Answers

Answer:

base = 12; height = 3

Step-by-step explanation:

Area: ( b x h ) / 2

base: 2x

height: (x - 3)

---------------------------------

( ( 2x )*( x - 3 ) )/ 2 = 18

( 2x ^2 - 6x ) = 36

2x ^2 - 6x - 36 = 0

(quadratic formula)

x = 6

x = -3

---------------------------------

taking the positive value : x = 6

---------------------------------

base: 2x = 2(6) = 12

height: x - 3 = 6 - 3 = 3

please help?!’ answerr

Answers

Answer:

The choice Draw 2

Step-by-step explanation:

[tex]3(8 - 4x) < 6(x - 5) \\ 24 - 12x < 6x - 30 \\ 24- 12x + 12x < 6x + 12x - 30 \\ 24 < 18x - 30 \\ 24 + 30 < 18x - 30 + 30 \\ 54 < 18x \\ 54 \div 18 < 18x \div 18 \\ 3 < x \\ x > 3[/tex]

I hope I helped you^_^

1. translation 6 units left and 3 units down
Image
A'
Preimage
A (1,7)
B (7,7)
C (7,4)
D (1,4)
B'
C
D

Answers

Answer:

A’(-5,4)

B’ (1, 4)

c’ (1,1)

d’ (-5, 1)

Step-by-step explanation:

11 4/5 + 3 5/6 and you have to add

Answers

Answer:

15 19/30

Step-by-step explanation:

Fraction: 15 19/30 decimal: 15.633333

You roll two fair dice. If they land with a sum of 7, you get a $10. If they land with a sum of 6 or 8, you get $5. Everything else earns $0. Which of the following would be the highest value you could set the price and the player would still win?
$8
$5
$2
$10​

Answers

Using the expected value, it is found that the highest value you could set the price is: $5.

-----------------------------

A game is fair, that is, the player would still win, if the expected value is 0.The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.

For two fair dice, there are 36 total outcomes, as [tex]6^2 = 36[/tex].

The charge is x.

6 outcomes result in a sum of 7, which are (1,6), (2,5), (3,4), (4,3), (5,2) and (6,1), thus, [tex]\frac{6}{36}[/tex] probability of getting 10.

10 outcomes result in a sum of 6 or 8, which are (1,5), (2,4), (2,6), (3,3), (3,5), (4,2), (4,4), (5,1), (5,3) and (6,2), thus, [tex]\frac{8}{36}[/tex] probability of getting x.

36 - 14 = 22, thus [tex]\frac{22}{36}[/tex] probability of losing x.

Since we want the expected value to be 0:

[tex]\frac{6}{36}(10) + \frac{8}{36}(5) - \frac{22}{36}x = 0[/tex]

[tex]\frac{60 + 50 - 22x}{36} = 0[/tex]

[tex]22x = 110[/tex]

[tex]x = \frac{110}{22}[/tex]

[tex]x = 5[/tex]

The highest value you could set the price is: $5.

A similar problem is given at https://brainly.com/question/24905256

HELP PLEASE ITS MATH

Answers

Answer:

32 trips.

Step-by-step explanation:

It's a proportion question.

7/84 = x/384

84x = 7*384

84x = 2688

Divide both sides by 84 to isolate x.

x = 2688/84

x = 32

So, Sarah will have to make 32 trips to cycle a total of 384 kilometers.

(I apologize if the answer is wrong!)

What is the slope y, equals, x, plus, 5?

Answers

Answer:

slope = m = 1

Step-by-step explanation:

y = x + 5

slope intercept form is y = mx + b, where m is the slope.

in this case, the m = 1; therefore, the slope is 1

1/5 is the slope. Hope this helps

a square has a perimeter of 6x - 20 units. What is the value of x?

Answers

Perimeter - add the length of all side together.
Square - all sides are equal

In your question: square with a side of x, perimeter would be x + x + x + x = 4x
4x = 6x - 20

Solve for x. This is basic Algebra, you should know this before you get to geometry.

please help me asap and show your work

Answers

Answer:

We need a question

Step-by-step explanation:

we indeed need the formula

Solve the equation:
3x + 2 = 6x - 7

Answers

x = 3 my answer needs to be 20 characters

Answer:

x=3

Step-by-step explanation:

1) Subtract 3x from both sides

2 = 6x - 7 - 3x

2) Simplify 6x - 7 - 3x  to 3x - 7

2 = 3x - 7

3) Add 7 to both sides

2 + 7 = 3x

4) Simplify 2 + 7 to 9

9 = 3x

5) Divide both sides by 3

9/3 = x

6) Simplify 9/3 to 3

3 = x

7) Switch sides

x=3

Find three consecutive multiples of 6 with a sum that is four times the least of the numbers.

Answers

The answer is 18, 24, 30. 18 + 24 + 30 = 72. 4 * 18 = 72.

Answer:

18 , 24, 30

Step-by-step explanation:

6x + (6x+6) + (6x+6+6) = 4*6x

18x + 18 = 24x

6x = 18

x = 3

3 multiples of 6: 18 , 24, 30

check: 18+24+30=72

           4*18 = 72

A passenger train leaves the train station 5 hours after a freight train left the same station. The freight train is traveling 30 mph slower than the passenger train. Which equation helps to find the rate of each train, if the passenger train overtakes the freight train in three hours.

3r = 5(r - 30)


3r = 8(r - 30)

3r = 8(r + 30)

5r = 3(r - 30)

Answers

Answer:

first one

Step-by-step explanation: doesnt mention the number 8 variable anywhere

Answer:

A. 3r=5(r-30)

Step-by-step explanation:

on edge :)

IF YOU ANSWER CORRECTLY ILL GIVE BRAINLIEST!!

What number makes the following equation true? -3/4 × -3/8 × □= -3/4

A. -5/4
B. -8/3
C. 8/3
D. 5/4

Answers

Let the number be x

[tex]\\ \sf\longmapsto \dfrac{-3}{4}\times\dfrac{-3}{8}x=\dfrac{-3}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-3}{8}x=1[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{-8}{3}[/tex]

Question 6(Multiple Choice Worth 1 points)
(05.03 LC)
What is the initial value of the equation shown?
y = - 4x - 3
0-4
0-3
03
04

Answers

For that I got -3/4

Please show work if needed if not then just answer!:)

Answers

9.

F. Symmetric Property of =.

The Symmetric Property of Equality states that if A = B, then B will = A, and that placement does not matter.

10.

B. Transitive Property of =.

The Transitive Property of Equality states that if A = B and B = C, then A = C.

In this case, AE = FB, FB = EF (meaning that point B is the midpoint), therefore, AE = EF.

What does the slope of the function represent?

Answers

Answer:

Hello there!

Your answer is,

The slope of the function represents a steady growth in the amount of money in the cash register after each sale.

Step-by-step explanation:

After they sell a cup of lemonade the graph goes up to represent the money they got and put into the register after the sale.

Use implicit differentiation to find an equation of the tangent line to the curve at the given point.
x^2/3 + y^2/3 = 4
(-3√3, 1)
(astroid) ​

Answers

Differentiate both sides of

[tex]x^{2/3} + y^{2/3} = 4[/tex]

implicite with respect to x :

[tex]\dfrac23 x^{-1/3} + \dfrac23 y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0[/tex]

Solve for the derivative dy/dx :

[tex]x^{-1/3} + y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ y^{-1/3} \dfrac{\mathrm dy}{\mathrm dx} = - x^{-1/3} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{x^{-1/3}}{y^{-1/3}} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\left(\dfrac yx\right)^{1/3}[/tex]

Get the slope at the given point (-3√3, 1) :

[tex]\dfrac{\mathrm dy}{\mathrm dx}(-3\sqrt3,1) = -\left(\dfrac{1}{-3\sqrt3}\right)^{1/3} = \dfrac1{(3\sqrt3)^{1/3}} = \dfrac1{\sqrt3}[/tex]

Then the equation of the tangent line to the curve through (-3√3, 1) is

[tex]y - 1 = \dfrac1{\sqrt3}(x+3\sqrt3) \\\\ \boxed{y = \dfrac1{\sqrt3}x + 4}[/tex]

What is the sum of 3/9 and 4/9?​

Answers

Answer:

7/9

Step-by-step explanation:

Hope this helps you. Have a nice day.

Use the sequence of operations to answer the question.
1. add 3 to b
2. subtract the result inom 8
3. triple the answer​

Answers

Answer:

(8-(3+b))3

Step-by-step explanation:

first of all, we have to variables, 3 and b that we are told to add

that is, 3+b

we are now told to subtract the answer from 8

that is 8 minis the answer

= 8- (3+b)

lastly we triple the answer to give

(8-(3+b)3

or

3(8-(3+b)

Pls help ASAP pls it’s reasoning with fractions

Answers

84 decimetres is the answer!

6 + blank = 4 what is the blank part

Answers

Answer:

-10 also I POSTED A MATH PROBLEM PLS HELP IF U CAN!! :)

the answer is -2.

6 + ? = 4

6 + -2 = 4 is basically the same thing as saying 6 - 2 = 4 :)
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