Solve for b. Round your answer to the nearest whole degree.
5.1

3.6
100

Answers

Answer 1

Answer:

b =44

Step-by-step explanation:

We need to use the law of sines to determine b

sin b                     sin 100

----------------  = ----------------

3.6                          5.1

Using cross products

5.1 sin b = 3.6 sin 100

sin b = 3.6 sin 100 / 5.1

Taking the inverse sin of each side

b = arcsin (  3.6 sin 100 / 5.1)

b = 44.03984209

To the nearest degree

n = 44


Related Questions

Staff
Americans eat 7 billion hot dogs between Memorial Day and Labor Day. If all these hot dogs were laid end to end they
would circle the earth 21.5 times. If the circumference of the Earth is approximately 24,860 miles, and one mile is
5,280 feet, find the length (in inches) of each hot dog. (Round your answer to the nearest tenth)

Answers

Answer:

The length of each hot dog is 0.5000 inches.

Step-by-step explanation:

Total number of hot dogs eaten = 7 000 000 000

Circumference of the earth = 24 860 miles

21.5 times the circumference of the Earth = 21.5 x 24 860 miles

                                                = 534490 miles

But,

1 mile = 5280 feet

So that,

534490 miles = X

X = 5280 x 534490

   = 287707200 feet

Also,

1 feet = 12 inches

Then,

287707200 feet = Y

Y = 12 x 287707200

   = 3452486400 inches

Thus,

the length of each hot dog = [tex]\frac{3452486400}{7000000000}[/tex]

                     = 0.4932

The length of each hot dog is 0.5000 inches.

Please answer this!!

Answers

Answer:

BC = 6.8

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta =opp /adj

tan C = AB / BC

tan 45 = 6.8/ BC

BC = 6.8 / tan 45

BC = 6.8 / 1

BC = 6.8

Answer: Choice D. 6.8

Step-by-step explanation:

45,45,90 triangles, memorize that the short sides are equal to each other in length and are [tex]\frac{1}{\sqrt{2} }[/tex] the length of the long side.

find the value (2x +3,y-1=5,3)​

Answers

Answer:

(5,3)

Step-by-step explanation:

Evaluate (2x+3,y-1=5,3)

Then you will get 5,3

So then your answer will be (5,3)

Heres your answer! Enjoy :D

Answer:

x = 1, y = 4

Step-by-step explanation:

Equating the corresponding coordinates

2x + 3 = 5 ( subtract 3 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

and

y - 1 = 3 ( add 1 to both sides )

y = 4

Last night, the two dinner specials at Will's favourite restaurant were salmon fillet and steak. The restaurant served 15 salmon fillets and 5 steaks. What percentage of the specials served were salmon fillets?

Answers

Answer:

75% of the specials served were salmon fillets

Step-by-step explanation:

We have that:

15 + 5 = 20 specials were served.

Of those, 5 were salmon fillets.

What percentage of the specials served were salmon fillets?

15*100%/20 = 75%

75% of the specials served were salmon fillets

If all the books on a shelf with fewer than 45 books were put into piles of five books each, no books would remain. If the same book were put into piles of seven books each, two books would remain. What is the greatest number of books that could be on the shelf?

Answers

Answer:

Hence the greatest number of books that could be on the shelf is 30.

Step-by-step explanation:

Step 1:-

Here the given number of books is m,  

m < 45.  

If they are arranged into piles of five books, each no books would remain.  

m is divisible by 5.  

The last digit of m would be 5 or 0.    

The same number of books, when arranged with piles of 7 books each, two books remain.  

m-2 is divisible by 7.  

Step 2:-  

The last digit of m is 5 or 0.  

m-2 will have the last digit 3 or 8.    

Multiples of 7 are 7,14,21,28,35, 42;  

among which only number 28 has the last digit 8 or 3.    

m - 2 = 28  

m = 30  

The greatest number of books that could be on the shelf is 30.

Write down all the prime numbers between 20 and 70

Answers

Answer:

23,29,31,37,41,43,47,53,59,61 and 67.

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

23, 29, 31, 37, 41, 43, 47, 53, 61, 67

Step-by-step explanation:

Im not entirely sure but I believe I'm correct here.

Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
С
32
40
B
24
A
Tan C =

Answers

Answer:

tanC will be given by the opposite over the adjacent

tanC=24/32

simplified to 6/8

I hope this helps

Geometry - Triangle d) In the given figure, BE = EC and CE is the bisector of ZACB. Prove that ZBEC = ZACD. E B D С​

Answers

Answer:

Let m∠BCE = x

Then m∠ACE = x as well since CE is bisecting ∠ACB.

m∠ACD + x + x = 180° ⇒ m∠ACD = 180° - 2x

Consider ΔBEC

Since BE = EC, the opposite angles are congruent:

∠BCE ≅ ∠CBE

Then:

m∠CBE = m∠BCE = x

Find the angle BEC:

m∠BEC = 180° - (x + x) = 180° - 2x

Comparing the above we see that:

m∠BEC = m∠ACDproved

The Master Chief collects spiders and starfish. If his spiders have 8 legs and his starfish have 5 legs, how many starfish must he have, given that his spider/starfish collection totals 19 creatures and 116 legs

Answers

Answer:

12 starfish

Step-by-step explanation:

Create a system of equations where x is the number of starfish he has and y is the number of spiders he has:

x + y = 19

5x + 8y = 116

Solve by elimination by multiplying the top equation by -8:

-8x - 8y = -152

5x + 8y = 116

Add these together and solve for x:

-3x = -36

x = 12

So, he has 12 starfish.

The total number of starfish is 12 starfishes

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of starfish be = x

Let the number of spiders be = y

The number of legs for spiders = 8

The number of legs for starfish = 5

So , the equation will be

The total number of legs for x starfish = 5x

The total number of legs for y spiders = 8y

The total number of creatures = 19

So , x + y = 19   be equation (1)

And ,

The total number of legs = 116

So , 5x + 8y = 116   be equation (2)

Now , from equation (1) , x = 19 - y

Substituting the value of equation (1) in equation (2) , we get

5x + 8y = 116

5 ( 19 - y ) + 8y = 116

95 - 5y + 8y = 116

95 + 3y = 116

Subtracting 95 on both sides , we get

3y = 21

Divide by 3 on both sides , we get

y = 7

So , the number of spiders is 7 spiders

Substituting the value of y in equation (1) , we get

x + y = 19

x + 7 = 19

Subtract 7 on both sides , we get

x = 12

Therefore , the value of x is 12

Hence , The total number of starfish is 12 starfishes

To learn more about equations click :

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Pleeeeeeeeaaaaaaaaaaaasse help 71 points!!!!!!!!!

Answers

Answer:

54

Step-by-step explanation:

The perimeter is the sum of the outside

P = 8+4+5+10+( 4+10) +(8+5)

P = 54

Pls help. I really suck at math.

Determine whether the following polygons are similar.

Answers

Answer:

They are not similar.

To easily check if they are similar, you only need to look at the degrees angles, since if the angles are the same, the lengths of the sides will always come out to be similar somehow.

Those triangles possess right angles as you can see the little square thingie in the corners.

Those are 90 degrees, and you can add the 30 degrees in the left shape to 90 to get 120.

There are 180 degrees in a triangle, so 180 - 120 = 60.

Therefore, the unknown angle is 60.

A 30 60 90 triangle is called a special right triangle since there are many useful ratios hidden inside.

The other triangle has a 55 degree angle which is not on the first, so they must not be similar.

Pls brainly dont delete this link, its useful.

https://blog.prepscholar.com/30-60-90-triangle-ratio-formula

This helps you understand the special triangles.

You don't suck at math, you suck at geometry imo, though only in this unit of geometry, probably good at others.

Step-by-step explanation:

Plzz help me with this question my class test is going on​

Answers

Step-by-step explanation:

2x+3y+5+4x-7y-8

2x+4x+3y-7y+5-8

6x-4y-3

Answer:

6x - 4y - 3

Step-by-step explanation:

They are basically telling you to sum both equations. So,

(2x + 3y + 5) + (4x - 7y - 8)

= 2x + 4x + 3y - 7y + 5 - 8

= 6x - 4y - 3

PLEASE HELP! I'LL GIVE BRAINLIEST:)

The center of the circle whose equation is (x + 2)² + (y - 3)² = 25 is (2, -3) (2, 3) (-2, 3)

Answers

Step-by-step explanation:

We know that if (h,k) is the center of any circle and whose radius is = r then its equation is :

[tex] {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} [/tex]

Given, the equation of circle

[tex] {(x + 2)}^{2} + (y - 3) ^{2} = 25 = {5}^{2} [/tex]

By comparing, we will get,

h = -2

k = 3

So, center of the circle is ( -2,3)

[tex]\large \green{ \: \: \: \: \boxed{\boxed{\begin{array}{cc} \bf\:Mark\\\bf\:me\:as\\\bf brainliest \end{array}}}} \\ [/tex]

Answer:

-2;3

Step-by-step explanation:

we have a formular

(x-a)^2 +(y-b)^2=c

the center of the cirlce is (a;b)

so in this case it's (-2;3)

rewrite without parentheses and simplify (y-5)^2

Answers

Answer:

y^2 - 10y + 25

Step-by-step explanation:

(y - 5)^2 =

(y - 5) • (y - 5)

Multiply y times y

y^2

Add 5 and 5

10

Multiply 5 and 5

25

Add these terms together

y^2 - 10y + 25

Answer: (y - 5)² = y² - 10y + 25

Concept:

There are in total three general types of parentheses-squared method:

(a - b)² = a² - 2ab + b²(a + b)² = a² +2ab + b²(a - b) (a + b) = a² - b²

Solve:

Given = (y - 5)²

Apparently, the given expression accords with (a - b)², where [y] = [a] and [5] = [b].

(a - b)² = a² - 2ab + b²

(y - 5)² = y² - 2(y)(5) + 5² = y² - 10y + 25

Hope this helps!! :)

Please let me know if you have any questions

Find the missing angle. Round your answer to the nearest tenth. PLS HURRY.

Answers

Answer:

x = 24.4°

Hope this helps... Have a good day!!

Help pls, I need Help :D

Answers

Answer:

5

Step-by-step explanation:

Step 1. Get two points off the graph

Points: (-70, 0) and (-60, 50)

Step 2. Use the two points to find the slope

m = slope

m = change in y/change in x

m = y2 - y1/x2 - x1

m = 50 - 0/-60 - -70

m = 50/10

m = 5/1

m = 5

The slope is 5

Someone plz help me on this

Answers

Answer:

9²+x²=13²

81+x²=169

x²= 169-81

x²=88

X= 9.38

x=9.4

[tex]x = \sqrt{88} [/tex]

Geometry, please answer question ASAP

Answers

Answer:

It's 5 which is A.

Step-by-step explanation:

7(8+a)=189 please help and give me step by step ​

Answers

Answer: a = 19

Step-by-step explanation:

Given

7 (8 + a) = 189

Divide 7 on both sides

7 (8 + a) / 7 = 189 / 7

8 + a = 27

Subtract 8 on both sides

8 + a - 8 = 27 - 8

a = 19

Hope this helps!! :)

Please let me know if you have any questions

Well, we can use the distributive property:
56 + 7a = 189
7a = 133
a = 19

i need help asap im timed

Answers

Answer:-

Refer to attachment for the required solution.

Answer:

Step-by-step explanation:

In algebraic expression


The sum of a number and six, divided by eight.

Answers

Answer:

x + 6 / 8

Step-by-step explanation:

The sum of a number is the answer to addition. So that means an unknown number and 6 are being added together. Lets make this unknown number x.

x + 6

The sum of this is being divided by 8. Since we already know what division is, we can just add the line and 8.

x + 6 / 8

Tutorial
Emmy already owns 22 hair bands, and additional hair bands are priced at 1 for a dollar.
How much money does Emmy need to spend on new hair bands in order to own a total of
38 hair bands?

Answers

Answer:

16

Step-by-step explanation:

38-22=16

Consider function f. (-412 + 6.3 + 36, 1 < -2 15, 2 < I 4 Are the statements about the graph of function ftrue or false? true false 2 false The graph crosses the y-axis at (0.–15). The graph has a point of discontinuity at I = The graph is increasing over the interval (4, co) The graph is decreasing over the interval (-12, -2). false The domain of the function is all real numbers. false​

Please help

Answers

Answer:

Behold.

Step-by-step explanation

The answer to the statement is 1)false 2) false 3) true 4) true and 5) false.

Given functions,f

1) For x ≤ -2: f(x) = -12 + 6x

2) For -2 < x < 1: f(x) = 41 - 15x

3) For x ≥ 1: f(x) = 31 - 4x

1) The graph crosses the y-axis at (0, -15).

This is false because if x = 0, the function value would be -12 + 6 * 0 = -12, not -15.

2) The graph has a point of discontinuity at x = 1.

This is false because the function is defined at x = 1 there is no space, so there is no point of discontinuity at x = 1.

3) The graph is increasing over the interval (4, ∞).

This is true because the coefficient of x in the function's expression is negative, showing that it is decreasing. Therefore, as x increases, the function values decrease.

4) The graph is decreasing over the interval (-12, -2).

This is true because the coefficient of x in the first piece of the function (-12 + 6x) is positive, showing an increasing trend. Therefore, as x decreases from -12 to -2, the function values increase.

Statement 5: The domain of the function is all real numbers.

This is false because the domain of the function is limited by the intervals in its definition. The function is defined differently for different intervals of x.

So, the answer to the statement is

1) false

2) false

3) true

4) true

5) false

Learn more about functions here:

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rachel rides her bicycle due east at 9 miles per hour amos rides his bicycle due north at 12 miles per hour if they left from the same point at the same time how far apart will they be after 1 hour

Answers

The distance between Rachel and Amos after one hour is 15 miles.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Distance travelled by Rachel after one hour = 9 mph * 1 h = 9 miles

Distance travelled by Amos after one hour = 12 mph * 1 h = 12 miles

Let x represent the distance between Rachel and Amos, hence:

x² = 9² + 12²

x = 15

The distance between Rachel and Amos after one hour is 15 miles.

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Using the Pythagorean Theorem, they will be 15 miles apart after one hour.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

For this problem, considering their directions, their distance is the hypotenuse of a right triangle of legs 9 miles and 12 miles, hence:

[tex]d^2 = 9^2 + 12^2[/tex]

[tex]d = \sqrt{9^2 + 12^2}[/tex]

d = 15 miles

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One number is six times another number. Their difference is 35. Whàt are the two numbers?

Answers

Answer:

7 and 42

Step-by-step explanation:

The difference 35 is actually equivalent to 5 units if you draw it out into a model, thus 35 divide 5 is 7 and the other number is 7x6 which is 42

Simplify the following equation

4−8÷2+3 ​

Answers

This is NOT an equation because it has no =
The correct order to evaluate it is:
4 - (8 / 2) + 3 = (4 - 4) + 3 = 0 + 3 = 3

Hi there!  

»»————- ★ ————-««

I believe your answer is:

3

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying...}}\\\\4-8\div2+3\\\\---------------\\\text{Follow PEMDAS:}\\\\\\\rightarrow4-8\div2+3\\\\\rightarrow 4 - 4 + 3\\\\\rightarrow 0 + 3\\\\\rightarrow \boxed{3}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

URGENT HELP PLS AND THANK U

Answers

Answer: a= 1

Step-by-step explanation:

a * b = b

Divide by “b” on both sides

a= b/b

“b/b” is equal to 1

a=1

Hope that helps

Lmk if you need a better explanation.

1 because anything times 1 will equal it self so b times 1 will equal 1 there the answer is one. Hope this helps!

75.072 divided by 9.6

Answers

Answer:

7.82

Step-by-step explanation:

I solved it

The answer is 7.82 :)


What is the surface area of a sphere with a diameter of 14 cm?
1961 cm2
287 cm2
7841 cm2
981 cm2

Answers

Answer:

??

Step-by-step explanation:

how

did you get 616? are you even looking at the 4 answers?????

Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.

Answers

1.6/2 * 100 = 80%
100% - 80% = 20%

So the snow depth decreased 20%.
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