In triangle ABC, mA 55, mB-30, and a 8. Which equation should you solve to find b?

In Triangle ABC, MA 55, MB-30, And A 8. Which Equation Should You Solve To Find B?

Answers

Answer 1

Answer: C . sin55/8 = sin30/b


Answer 2

Answer:

C. [tex]\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}[/tex]

Step-by-step explanation:

We have been given that in triangle ABC, mA 55, mB-30, and a 8. We are asked to find the equation that we can use to solve the length of side b.

We will use law of sines to solve our given problem.

[tex]\frac{\text{Sin A}}{a}=\frac{\text{Sin B}}{b}=\frac{\text{Sin C}}{c}[/tex], where A, B and C represents angle of a triangle corresponding to sides a, b and c respectively.

Upon substituting our given values in law of sines we will get,

[tex]\frac{\text{Sin 55}^{\circ}}{8}=\frac{\text{Sin 30}^{\circ}}{b}[/tex]

Therefore, the option C is the correct choice.


Related Questions

The number p and −1.2 are additive inverses. Drag and drop −1.2 and p to their correct positions on the number line. Drag and drop the label “Sum” to the sum of −1.2 and p.

Answers

Answer:

Value of p is 1.2.

Now drag and drop the values as per explanation.

Step-by-step explanation:

Additive inverse of any number means a number which can be added to the original number to get

Two numbers are said to be additive inverse of each other if sum of both numbers is 0. For example if 5 is the given number then -5 will be it's additive inverse. So to find additive inverse, we basically change the sign of number.

Given number p is additive inverse off -1.2 so p must be 1.2.

Sum will obviously be 0.

So to graph them on number line, we make a point at -1.2, 1.2 and at 0 for their sum.


n+6=38 what is the answer to this problem

Answers

Answer:

32

Step-by-step explanation:

38-6=32

Hi there! :)

Answer:

n=32

*The answer must have a positive sign.*

Step-by-step explanation:

Lesson: Addition/Subtraction/Multiplication/ and Division property of equality

First, you subtract by 6 from both sides of an equation.

n+6-6=38-6

Then, you subtract by the numbers from left to right.

38-6=32

Final answer is n=32

I hope this helps you!

Have a nice day! :)

Thanks!

-Charlie

:D

PLEASE HELP! 49 POINTS!
Show work and explain! I don't get it.

Answers

Answer:

B

Step-by-step explanation:

-6 10n to the 5 11n to the 3

you put the ones that are alike to gether. so -3 and -3 together and 5n to the 3rd and 6n to the third together and 3n to the fifth and 7n to the fifth together

Given : (-3 + 3n⁵ + 6n³) + (7n⁵ + 5n³ - 3)

Rearrange respective Like terms as they are a Family, They should be together.

In the Given Expression, The Like terms are :

✿  3n⁵ and 7n⁵

✿  6n³ and 5n³

✿  -3 and -3

After Rearranging, The Given Question looks like :

✿  (3n⁵ + 7n⁵) + (6n³ + 5n³) - 3 - 3

Now, Add the Like Terms as they belong to the same Family

⇒ 10n⁵ + 11n³ - 6

26=-8/5y what is it 30 points!!!!!

Answers

Answer:

Alright well solve for y by simplifying both sides of the equation, then isolating the variable

Exact form: y = - 65/4

Decimal form: y = - 16.25 Hope this helps Have a nice day :)

Step-by-step explanation:


8/5=1.6 times 16.3 is my estiy

Consider this equation and the steps taken to solve it.  –9(a – 5) = –18  (distribute)  –9a + 45 = –18  (subtract 45)     –9a = –63  (divide by –9)     a = 7 What steps might you take to verify the solution? Check all that apply. Substitute 7 for a. Pick any value for a and substitute. Simplify the equation after substituting the value for a. Verify that a = 7 is correct when the result is a true statement. Verify that a = 7 is correct when the result is a false statement.

Answers

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

 –9(a – 5) = –18  

Distribute

-9a +45 = -18

Subtract 45 from each side

-9a +45-45 = -18-45

-9a = -63

Divide each side by -9

-9a/-9 = -63/-9

a = 7

To check the solution put a =7 back into the original equation

 –9(a – 5) = –18  

  -9(7-5) = -18

Simplify

-9(2) = -18

-18 = 18

This is true  so 7 is the solution

Answer:

Substitute 7 for a.

Simplify the equation after substituting the value for a.

Verify that a = 7 is correct when the result is a true statement.

Step-by-step explanation:

Here, the given equation is,,

[tex]-9(a-5)=-18[/tex]

And, after solving it the result is,

a = 7

We can check whether a result is the solution of an equation by substituting the result in the given equation.

If we get a true statement, then the result is the solution of the equation.

Thus, for verifying the solution, steps are as follow,

Step 1 : Substitute 7 ,

-9(7-5) = -18

Step 2 : Simplify the equation after substituting the value of a  

-9(2) = -18    

Step 3 : Verify that a = 7 is correct when the result is a true statement.

-18 = -18      

AZUL HAS 4 GREEN PICKS AND NO ORANGE PICKS. YOU ADD ORANGE PICKS SO THAT THERE ARE 2 ORANGE PICKS FOR EVERY 1 GREEN PICK. HOW MANY PICKS ARE THERE NOW?

Answers

2 orange picks for 1 green pick
Azul has 4 green picks
So, 4×2=8
Total 8+4=12

Answer:

12 total

Step-by-step explanation:

green : orange  

4               0          

We add in a ratio of

1                  2

So we need to multiply by 4

green : orange  

4*1            4*2

4                8

We have 4 green  and we need to add 8 orange  to get the right ratio

4 green + 8 orange = 12 total

I need help doing the math

Answers

If you would give me the math maybe i can help you

Ming has a goal to jog 4 1/2 miles each day. On Monday she jogged 5 9/16 miles. How many much if she exceed her goal for that day?

Answers

Answer:

Ming exceed [tex]1\frac{1}{16}[/tex] miles her goal for that day

Exep-by-step explanation:

[tex]5\frac{9}{16}- 4\frac{1}{2} =5\frac{9}{16} -4\frac{8}{16}=1\frac{1}{16} miles[/tex]


[tex]x=y-2\\4x+y=2[/tex]
i have to use substitution

Answers

Answer:

x=0 , y=2

Step-by-step explanation:

x=y-2

4x+y =2

We can substitute the first equation in for x into the second equation

4*(y-2) +y =2

Distribute the 4

4y-8 +y =2

Combine like terms

5y-8 =2

Add 8 to each side

5y-8+8 = 2+8

5y= 10

Divide each side by 5

5y/5 =10/5

y=2


But we still need to find x

x = y-2

x = 2-2

x=0

Either Table L or Table M shows a proportional relationship. (Table L) - X -1,0,1,2 and Y= -2,0,2,4. (Table M- )X= -1,0,1,2, and Y= -4,0,6,9. Plot the points from the table that shows a proportional relationship.

Answers

Answer:  Table L shows a proportional relationship.


Step-by-step explanation:

in table L, the ordered pairs are: (-1,-2),(0,0),(1,2),(2,4)

in table M, the ordered pairs are: (-1,-4),(0,0),(1,6),(2,9)

Notice that in table L, the increment for x values is consistent which is adding 1 and the increment for y values is consistent too which is adding 2. That's why table L is proportional.

In table M, the increment for x values is 1 but there is no consistent increment for y values.

A breakfast cereal is available in four different sizes. Which is the best buy ?
A. 10-ounce box for $2.80
B. 16-ounce box for $3.75
C. 24-ounce box for $4.50
D. 30-ounce box for $5.25

Answers

Answer:

D. 30-ounce box for $5.25 is the best buy

Step-by-step explanation:

To determine which is the better buy, we need to determine the unit rate for each.  We will take the price and divide by the number of ounces.  The best price is the smallest price per ounce.

A. 10-ounce box for $2.80

$2.80/10 = $.28 per ounce

B. 16-ounce box for $3.75

$3.75/16 = $.234375 per ounce

Rounding to the nearest cent

$.23 per ounce

C. 24-ounce box for $4.50

$4.50/24 = $.1875 per ounce

Rounding to the nearest cent

$.19 per ounce

D. 30-ounce box for $5.25

$5.25/30 =$.175 per ounce

Rounding to the nearest cent

$.18 cent per ounce

-5x+7y=11
-5x+3y=19
Elimination

Answers

[tex]\left\{\begin{array}{ccc}-5x+7y=11&\text{change the signs}\\-5x+3y=19\end{array}\right\\\underline{+\left\{\begin{array}{ccc}5x-7y=-11\\-5x+3y=19\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-4y=8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad \boxed{y=-2}\\\\\text{Upt the value of y to the second equation:}\\\\-5x+3(-2)=19\\-5x-6=19\qquad\text{add 6 to both sides}\\-5x=25\qquad\text{divide both sides by (-5)}\\\boxed{x=-5}\\\\Answer:\ \boxed{x=-5\ and\ y=-2\to(-5,\ -2)}[/tex]

In parallelogram ABCD point K belongs to diagonal BD so that BK:DK=1:4. If the extension of AK meets BC at point E, what is the ratio of BE:EC?

Answers

Answer:

BE : EC = 1 : 3

Step-by-step explanation:

Consider triangles AKD and EKB. In these triangles

∠AKD≅∠EKB as vertical angles;∠ADK≅∠EBK as alternate interior angles;∠KAD≅∠KEB as alternate interior angles.

Then ΔAKD is similar to ΔEKB by AAA theorem.

Similar triangles have proportional corresponding sides:

[tex]\dfrac{AD}{EB}=\dfrac{AK}{EK}=\dfrac{DK}{KB}.[/tex]

Since [tex]\dfrac{DK}{KB}=\dfrac{4}{1},[/tex] then [tex]AD=4BE.[/tex]

Opposite sides in parallelogram have the same lengths, then [tex]BC=AD.[/tex]

Now

[tex]BC=BE+EC,\\ \\BC=\dfrac{1}{4}BC+EC,\\ \\EC=BC-\dfrac{1}{4}BC=\dfrac{3}{4}BC.[/tex]

Find the ratio

[tex]\dfrac{BE}{EC}=\dfrac{\frac{1}{4}BC}{\frac{3}{4}BC}=\dfrac{1}{3}.[/tex]

The ratio of BE:EC is 1:2.

How do we calculate?

We have Parallelogram ABCD

Point K on diagonal BD such that BK:DK = 1:4

The extension of AK meets BC at point E

Since BK:DK = 1:4,

we know that BK = 1/5 * BD

and DK = 4/5 * BD.

AK extends to meet BC at point E means that AE is parallel to BD and BE is parallel to AK.

pair A,B,C,D,K,E;

A = (0,0);

B = (5,0);

C = (5,5);

D = (0,5);

K = (3.5,0);

E = (3.5,2.5);

Since AE is parallel to BD and BD is a diagonal of parallelogram ABCD, we know that AE bisects BD. This means that AE = BD/2 = 3/5 * BD.

Since BE is parallel to AK and AK is a diagonal of parallelogram ABCD, we know that BE bisects AK. This means that BE = AK/2 = 1/5 * BD.

Therefore, the ratio of BE:EC = 1/5 * BD

: 2/5 * BD

= 1:2.

Learn more about diagonal of parallelogram at:

https://brainly.com/question/13251657

#SPJ6

A school paid $45.00 for 8 toothbrushes and 4 tubes of toothpaste. If each tube of toothpaste cost $4.50, how much did each toothbrush cost? Round to the nearest cent.

Answers

Answer:

$3.38

Step-by-step explanation:

The formula is 45= 8x + 4t. Each tube of toothpaste is 4.50, so times four is 18. So they spent 18 dollars on toothpaste, and the rest on toothbrushes. There are 27 dollars left, and 8 toothbrushes, so divide and each toothbrush is $3.375, or $3.38

Answer:

$3.38  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

4.50(4) + 8x = $45.00

$18 + 8x = 45.00

8x = 45 - 18

8x = 27

x = 27 ÷ 8

x = 3.375 rounded to nearest cent is $3.38

Round 452 to the nearest hundred

Answers

Answer:

500

Step-by-step explanation:


Please help I will give brainiest :)

A relation is plotted as a linear function function on the coordinate plane starting at point E at (0,27) and ending at point F at (5, -8) what is the rate of change for the linear function and what is its initial value ? Select from the drop down menus to correctly complete the statement.
The rate of change for the linear function is choose -7, 0, 7, 27 and the initial value is, choose, -8 , -5, 0, 27
Thank You!!! :)

Answers

Answer:

see explanation

Step-by-step explanation:

the rate of change is the measure of the slope m of the line

To calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (0, 27) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-27}{5-0}[/tex] = [tex]\frac{-35}{5}[/tex] = - 7 ← rate of change

the initial value is the y-coordinate of the starting point

That is y = 27 ← starting value


The rate of change for the linear function is -7 and the initial value is 27.

6x-5y=17 solve the system

Answers

6x-5y=17
-6x -6x
__________
-5y= -6x+17
______________
-5


y=
[tex] \frac{6}{5 } x + \frac{17}{ - 5} [/tex]

The line segment shown is translated down 4 units, what are the new coordinates of B?

Answers

(4, -1)

hope this helped

Answer:

D) (4, -1)

Step-by-step explanation:

When a point is translated down 4 units you need to subtract 4 from the y-coordinates. The x-coordinates will not change. Therefore (4, 3) will become (4, -1).

How many pints are there in 33 gallons

Answers

Answer:

There are 264 pints in 33 gallons.

Step-by-step explanation:

Because there are 8 pints in 1 gallon.

Answer: 264 pints


Step-by-step explanation:

There are 8 pints in a gallon so you multiply that by 33 and you get your answer.

Find the value of x when the expression 6x+9 equals 3x+6

Answers

Answer: 1=x


Step-by-step explanation:

                                6x+9=3x+6                                                                                                      -6         -6        

                                    6x+3=3x                                                                                               -6x   -6x      3=-3x                                                                                  3 divided by 3 is one    1=x                         I hope this helps sorry if its incorrect i havent done this in a while

Answer:

x = -1

Step-by-step explanation:

Subtract 3x from both sides

6x + 9 - 3x = 3x + 6 - 3x

3x + 9 = 6

Subtract 9 from both sides

3x + 9 - 9 = 6 - 9

3x = -3

Divide both sides by 3

3x/3 = -3/3

x = -1

The 17 students on the math team want to raise $483.62 to buy practice books. They have already raised $218.25. If each student raises the same amount, how much more money must each student raise?

Answers

Answer:

$15.61

Step-by-step explanation:

483.62 - 218.25 = 265.37

265.37/17 = $15.61

If each student raises the same amount, how much more money must each student raise is: $15.61.

Amount raised

Using this formula

Amount raised=Current amount to raised-Old Amount raised /Number of students

Where:

Current amount to raised=$483.62

Old Amount raised =$218.25

Number of students=17

Let plug in the formula

Amount raised=483.62 - 218.25/17

Amount raised= 265.37/17

Amount raised= $15.61

Thus, if each student raises the same amount, how much more money must each student raise is: $15.61.

Learn more about amount raised here:https://brainly.com/question/13943984

What is the equation of the line with a y-intercept of -3 and slope of 2? Write the equation in slope intercept form.

Answers

Answer:

Y=2x-3

Step-by-step explanation:


Hi there! :)

Answer:

y = 2x - 3


Step-by-step explanation:

The slope intercept equation looks like this : y = mx + b

Where "m" is the slope and "b" is the y-intercept.

Your y-intercept = -3 → SO, b = -3

Your slope = 2 → SO, m = 2


Replace the values of "b" and "m" in the equation, and you're done:

y = mx + b

y = 2x - 3


There you go! I really hope this helped, if there's anything just let me know! :)

The grill was regularly priced at $58, but Jared had a coupon for 25% off. How much money did Jared save by using his coupon?

Answers

Answer:

He saves $14.50

Step-by-step explanation:

We can find the discount by multiplying the price by the percentage off

58* .25  = 14.50

He saves $14.50


Answer:

14.50

Step-by-step explanation:

You are not asked for the final price. You are asked for the amount saved. Don't confuse the two.

If he gets 25% off then you multiply (25/100) times 58 to get the amount saved.

(25/100) * 58 = 14.50

So his reduction is $14.50


a bag contains 8 red ribbon, 7 green ribbons, and 3 yellow ribbons. if you randomly remove 3 of the ribbons from the bag without replacement, what is the probability that the first 2 are yellow?

Answers

8+7+3=18 so you have 3 yellow ribbons so 3/18 but u can simplify that by 3 and get 1/6

The probability that the first 2 ribbons removed from the bag are yellow is [tex]\(\frac{1}{51}\)[/tex].

First, let's calculate the probability of drawing the first yellow ribbon. There are 3 yellow ribbons and a total of 8 red, 7 green, and 3 yellow ribbons, which sums up to 18 ribbons in total. So, the probability of drawing the first yellow ribbon is:

[tex]\[ P(\text{first yellow}) = \frac{\text{Number of yellow ribbons}}{\text{Total number of ribbons}} = \frac{3}{18} = \frac{1}{6} \][/tex]

After drawing the first yellow ribbon, there are now 17 ribbons left in the bag, with 2 yellow ribbons remaining. The probability of drawing the second yellow ribbon is:

[tex]\[ P(\text{second yellow | first yellow}) = \frac{\text{Number of remaining yellow ribbons}}{\text{Total number of remaining ribbons}} = \frac{2}{17} \][/tex]

Now, we multiply the two probabilities to find the probability that the first two ribbons drawn are yellow:

[tex]\[ P(\text{first two yellow}) = P(\text{first yellow}) \times P(\text{second yellow | first yellow}) = \frac{1}{6} \times \frac{2}{17} \]\[ P(\text{first two yellow}) = \frac{1 \times 2}{6 \times 17} = \frac{2}{102} = \frac{1}{51} \][/tex]

5/9x-3/7 in fraction form

Answers

-15/63, multiply the five to the -3 to get -15, and multiply the 9 to the 7 to get 63. -15/63.

Answer:

-15

63 but in simplified form, it's like this: -5

                                                              21

Step-by-step explanation: For multiplication and division, you don't need a common denominator, but for addition and subtraction you have to find the common denominator...


For this problem, since your multiplying, you just multiply straight accross, and if it needs to be simplified, then simplify:

5/9 x -3/7

-15

63

SIMPLIFIED because both -15 & 63 can be divided by 3 and end up like this:

-5

21



Determine the measure of q in sin q =0.4848 to the nearest degree.

Answers

Answer:

see explanation

Step-by-step explanation:

there are 2 possible values for q

Since sin q > 0 then q is in the first or second quadrant

sin q = 0.4848, then

q = [tex]sin^{-1}[/tex](0.4848) ≈ 29° ← first quadrant

or q = 180° - 29° = 151° ← second quadrant



Find the slope between (1, 1) and (8, 7)

Answers

Answer:

6/7

Step-by-step explanation:

Change in y over the change in x.


7 - 1 over 8 - 1 =


6 over 7


6/7

The graph of a system of equations with different slopes will have no solutions. Always Sometimes Never

Answers

Answer:

Never

Step-by-step explanation:

If the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.If the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

Thats what my teacher tought me


can someone please help me? 20 Pts!!!

Whether this prophecy is ever fulfilled or not, it is nevertheless plain that a very different-looking class of people are springing up at the south, and are now held in slavery, from those originally brought to this country from Africa; and if their increase do no other good, it will do away the force of the argument, that God cursed Ham, and therefore American slavery is right. If the lineal descendants of Ham are alone to be scripturally enslaved, it is certain that slavery at the south must soon become unscriptural; for thousands are ushered into the world, annually, who, like myself, owe their existence to white fathers, and those fathers most frequently their own masters.

What is the allusion in this passage and its interpretation?



A.) "The descendants of Ham"; since some slaves have white fathers who are not the sons of Ham, they should not be enslaved.



B.) "The descendants of Ham"; although some slaves have white fathers, they are still lineal descendants of Ham and should remain slaves.



C.) "Thousands are ushered into the world"; since some slaves have fathers, they should not be enslaved.



D.) "Thousands are ushered into the world"; although some slaves have white fathers, they are still lineal descendants of Ham and should remain slaves.


Answers

I think it’s c but im not sure
The answer is B. It refers to Bible.

jan quint earns 11.00 an hour at her job and is entitled to time and a half for overtime and double time on holidays last weeks she worked 40 hours of regular time 9 hours of overtime and 12 hrs of holiday time how much did she earns last weeks

Answers

Answer:

$852.5

Step-by-step explanation:

$11 * 40 hours = $440 for reg. hours

$16.5 * 9 hours = $148.5 for overtime

$22 * 12 hours = $264 for holiday time

$440 + $148.5 + $264 = $852.5 in total

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