find the indicated angle. Round your answer to the nearest tenth. Part 2. Show work please​

Find The Indicated Angle. Round Your Answer To The Nearest Tenth. Part 2. Show Work Please

Answers

Answer 1

Answer:  5) 72.6°      6) 68.7°       7) 37.3°        8) 81.5°

Step-by-step explanation:

Law of Cosines:    a² = b² + c² - 2bc · cos A

                              b² = a² + c² - 2ac · cos B

                              c² = a² + b² - 2ab · cos C

5) a = 27, b = 26, c = 20, A = ???

   a² = b² + c² - 2bc · cos A

27² = 26² + 20² - 2(26)(20) · cos A

729 = 676 + 400 - 1040 cos A

729 = 1076 - 1040 cos A

-311 = -1040 cos A

[tex]\dfrac{311}{1040}=\cos A\\\\\cos^{-1}\bigg(\dfrac{311}{1040}\bigg)=A[/tex]

72.6° = A

6) a = 11, b = 13, c = 12, B = ???

   b² = a² + c² - 2ac · cos B

13² = 11² + 12² - 2(11)(12) · cos B

169 = 121 + 144 - 264 cos B

169 = 265 - 264 cos B

-96 = -264 cos B

[tex]\dfrac{96}{264}=\cos B\\\\\cos^{-1}\bigg(\dfrac{96}{264}\bigg)=B[/tex]

68.7° = B

7) a = 19.2, b = 11.7, c = 16.5, B = ???

   b² = a² + c² - 2ac · cos B

11.7² = 19.2² + 16.5² - 2(19.2)(16.5) · cos B

136.89 = 368.64 + 272.25 - 633.6 cos B

136.89 = 640.89 - 633.6 cos B

-504 = -633.6 cos B

[tex]\dfrac{504}{633.6}=\cos B\\\\\cos^{-1}\bigg(\dfrac{504}{633.6}\bigg)=B[/tex]

37.3° = B

8) a = 8.8, b = 12.4, c = 14.1, C = ???

   c² = a² + b² - 2ab · cos C

14.1² = 8.8² + 12.4² - 2(8.8)(12.4) · cos C

198.81 = 77.44 + 153.76 - 218.24 cos C

198.81 = 231.2 - 218.24 cos C

-32.39 = -218.24 cos C

[tex]\dfrac{32.39}{218.24}=\cos C\\\\\cos^{-1}\bigg(\dfrac{32.39}{218.24}\bigg)=C[/tex]

81.5° = C


Related Questions

Evaluate the given expression if x= -3 and y=6.

x+3y / 6+3y

Answers

Answer:

5/8

Step-by-step explanation:

The given expression is [tex]\dfrac{x+3y}{6+3y}[/tex]

We need to find of above expression when x = -3 and y = 6

Put x = -3 and y = 6 in given expression such that,

[tex]\dfrac{x+3y}{6+3y}=\dfrac{(-3)+3(6)}{6+3(6)}\\\\=\dfrac{-3+18}{6+18}\\\\=\dfrac{15}{24}\\\\=\dfrac{5}{8}[/tex]

So, the value of given expression is 5/8.

Hi! I really need help with figuring out how to do #2, I just don't get how it's done and really need an explanation! thanks in advance :)​

Answers

Answer:

18

Step-by-step explanation:

g(3)+f(4)

=3²+1+2×4

=9+1+8

=18

what is the distance between -7 and -3 1/2

Answers

Answer:

3.5 units

Step-by-step explanation:

I'm big brain


You want to share 1000 dollars between you and 5 friends,

Can you share the money evenly

What is the maximum amount that can be shared evenly

What is then the leftover as a fraction

Answers

Answer:

the answer is 200

Step-by-step explanation:it's because

you have to divide 1000 in to 5 and 1000 divided by 5 is 200

Define intersecting lines

Answers

Answer:

lines that meet at a point

A train leaves Philadelphia at 3:00 PM. A second train leaves the same city in the same direction at 9:00 PM. The second train travels 120mph faster than the first. If the second train overtakes the first at 11:00 PM, what is the speed of each of the two trains?

Answers

Answer:

Step-by-step explanation:

2nd train DATA:

time = 2 hrs ; rate = x + 120 mph ; distance = 2(x+120) = 2x+240 miles

------

1st train DATA:

time = 8 hrs ; rate ; x mph ; distance = 8x miles

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

Equation:

distance = distance

8x = 2x+240

6x = 240

x = 40 mph (speed of the 1st train)

x+120 = 160 mph (speed of the 2nd train)

my regards #3Ss

Rewrite as a logarithmic equation.
*=8

Answers

Answer:

yes in the steps

Step-by-step explanation:

conclusive

What is the area of the soccer field in square feet if A soccer field is a rectangle 150 feet wide and 350 feet long.

Answers

Answer:

52,500 sq feet

Step-by-step explanation:

150 x 350 = 52,500 sq feet

To find the area, you do width x length.

Hope this helps!!

Find height when diameter is 1.4m and its hold 770l water​

Answers

Answer:

≈ 0,5 m

≈ 50 cm

Step-by-step explanation:

d = 2r => r = d/2 = 1,4m/2 = 0,7 m

V = πr²·h => h = V/πr²

770 l = 0,77 m³

h = 0,77m³/3.14×0,49m²

= 0,77m³/1,5386m²

= 0,5004 m

≈ 0,5 m

≈ 50 cm

2 ( x - 6 ) = 3 ( x + 9 )

Answers

Steps to solve:

2(x - 6) = 3(x + 9)

~Distribute both sides

2x - 12 = 3x + 27

~Add 12 to both sides

2x = 3x + 39

~Subtract 3x to both sides

-x = 39

~Divide both sides by -1

x = -39

Best of Luck!

Answer:

2×-12=3×+27

2×-3×=27+12

-×=39

Step-by-step explanation:

Grouping like terms

then simplify to get x


Find the distance between points P and Q.

Answers

Answer:

4;3 might be the answer

I believe it is -3/4

Decide whether the set S = {−1, 0 ,1} is closed under each of the following operations. Be sure to justify
each of your conclusions.

1. Multiplication
2. Addition
3. Subtraction
4. Division
5. Squaring
6. Square rooting
7. Averaging 2 numbers
8. Averaging 3 numbers

Answers

Answer:

Explained below

Step-by-step explanation:

Sol: 1. Multiplication

Multiply the set S; the answer should also belong to the set S. For example, -1 x 0 = 0 Є S and -1 x 1 = -1 Є S, Hence the set S is closed under multiplication.

2. Addition

When we add two sets S elements, the answer should also belong to the set S, for example, 1 + 0 = 1 Є S but 1 + 1 = 2, which does not belong to set S; hence S is not closed under addition.

3. Subtraction

The set S is not closed under subtraction because  -1 – 1  = -2, -2 is not the set S.

4. Division

The set S is not a closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.

5. Squaring

The set is closed under squaring if we square an element of the set S, and the result also belongs to the set S, for example, (0)2 = 0 and (-1)2 = 1, which belongs to the set S. Hence set S is closed under squaring.

6. Square rooting

The set S is not closed under square rooting because when we take the square root of an element of set S, the answer does not belong to the set S. √-1 = undefined.

7. Averaging two numbers

Averaging two numbers mean the sum of two numbers of set S is divided by two. For example, 1 + 0/2 = 1/2, which is not belongs to set S. hence set is not closed under averaging two numbers.

8. Averaging three numbers

The sum of three numbers of set S is divided by 3; the answer should belong to the set S.

-1 + 0 + 1 / 3= 0, 0 belongs to set. Hence the set S is closed under averaging three numbers.

Answer is explained below. We can say that Subtraction is not closed under the set.

Given set S = {−1, 0 ,1}  we have to check the given set is closed or not.

1. Multiplication

Multiply the set S; the answer should also belong to the set S. For example, [tex]-1\times 0=0[/tex], 0 Є S and [tex]-1\times 1 = -1[/tex] , -1 Є S, so the set S is closed under multiplication.

2. Addition

On adding the any two values of the set, the result belong to the set itself, for ex if we add [tex]-1+0=-1\\[/tex] Є S  but 1. so we can say that the given set is closed under addition.

3. Subtraction

The set S is not closed under subtraction because  -1 – 1  = -2, -2 is not the set element S.

4. Division

The set S is not belongs to closed division because when we divide one S element to another element, the answer does not belong to the set S, for example -1/0 = undefined.

5. Squaring

The set is closed under squaring,since we square an element of the set S, and the result also belongs to the set S. for example, [tex]0^{2} =0[/tex] and[tex]-1^{2} =1[/tex] which belongs to the set S. Hence set S is closed.

Hence We can say that Subtraction is not closed under the set.

For more details on Set follow the link below:

https://brainly.com/question/8053622

Simplify the expression to a polynomial in standard form:
(3x − 2)(22 - 2x + 1)

Please answer

Answers

Answer:

[tex]-6x^2 + 73x - 46[/tex]

Step-by-step explanation:

(3x-2)(22-2x+1)

simplify (22-2x+1)

(3x-2)(23-2x)

distribute

69x - 6x^2 - 46 + 4x

simplify

[tex]-6x^2 + 73x - 46[/tex]

16. The difference of two numbers is 3 and the
difference of their square is 69. Find the
numbers.​

Answers

Make a system of equations.

[tex]x-y=3[/tex]

[tex]x^2-y^2=69[/tex]

[tex]x=y+3[/tex]

[tex](y^2+6y+9)-y^2=69[/tex]

[tex]6y+9=69[/tex]

[tex]6y=60[/tex]

[tex]y=10[/tex]

[tex]x=10+3[/tex]

[tex]x=13[/tex]

[tex]x=13,y=10[/tex]

Hope this helps.

頑張って!

What is the image of (-5, -8) after a reflection over the y-axis?

Answers

Answer:

[tex](5,-8)[/tex]

Step-by-step explanation:

The rule for a reflection over the y-axis is

[tex](x,y) -> (-x,y)[/tex]

In this situation, we have to change the sign of x.

[tex](-5,-8) -> (5,-8)[/tex]

PLEASE HELP QUICK what algebraic expression represents GK

Answers

Answer:

answer is 6x+4

mark it as branliest.

Answer:

GK = 6x + 4

Step-by-step explanation:

3x + 5 - x + 4x - 1 - x + x

3x -x + 4x - x + x + 5 -1

6x + 4

Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer.

Point (9,−11); Slope=−8

Answers

Answer:

Step-by-step explanation:

y + 11 = -8(x - 9)

y + 11 = -8x + 72

y = -8x + 61

The equation of the line in slope-intercept form having the given point and slope is: y = -8x + 61.

How to Find the Equation of a Line in Slope-intercept Form?

Slope-intercept formis expressed as y = mx + b.

Given the following:

A point = (9, -11) = (a, b)

Slope = -8 = m

Substitute m = -8 and (a, b) = (9, - 11) into y - b = m(x - a)

y - (-11) = -8(x - 9)

Rewrite in slope-intercept form

y + 11 = -8x + 72

y = -8x + 72 - 11

y = -8x + 61

Learn more about slope-intercept form on:

https://brainly.com/question/1884491

A factory makes toy cars. For the past 6 days, the factory-made 7,737 toy cars each day. How many toy cars did the factory make? PLEASE HELP I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN

Answers

If a factory made 7,737 toy cars each day for 6 days, to find the total number of cars, we can add 7,737 to itself 6 times or just multiply by 6.

[tex]7737*6=46422[/tex]

The factory made 46422 toys in the last 6 days.

Hope this helps.

頑張って!

Find the nth term of this quadratic sequence 7,16,25,34,43

Answers

Answer:

52

Step-by-step explanation:

everytime it adds by 9:

7+9=16

16+9=25

25+9=34

34+9=43

43+9=52

An apartment building has 11 floors in it. Each floor has 9 rooms on it. If each room has two people living there, how many people live in this apartment building?**

Answers

Answer: 198 total people

Step-by-step explanation:

so there are 11 floors and each obtain 9 rooms so if there are two people in each of the 9 rooms there will 18 total people in one floor and since there are 11 floors multiply it by 18 to find out how many people live in the apartment.

11 * 18 = 198

Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.

Answers

Answer:

well the length on both increases by x3 and the height increases by 2

Step-by-step explanation:

Simplify the expression: 42x3y6 6xy6 A) 7x2y12 B) 7x2y C) 36x2y12 D) 7x2

Answers

Answer:

D

Step-by-step explanation:

So first you simplify

Step 1: (2•3•7x3y6) (2•3xy6)

Step 2: you divide x3 by x1 = x (3-1) = x2

step 3: You cancel out y6 as it appears on both sides of the fraction line.

step 4: cancel out 2 as it appears on both sides.

step 5: cancel out 3 as it appears on both sides.

step 6: final result 7x2

A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix? focus: (0,8); directrix: y = –8 focus: ; directrix: y = focus: (8,0); directrix: x = –8 focus: ; directrix: x =

Answers

Answer:

the coordinate of the focus is: (0, 1/2)

the equation of the directrix is: y=-1/2

Step-by-step explanation: The standard equation for a parabola that opens upward- parallel to the y-axis, is: x2=4ay. Meaning, a = distance from the vertex to focus and the vertex is at origin: (0,0).

4a is equal to 2

a is equal to 2/4

a is equal to 1/2 or 0.5

The parabola has

focus: (0,1/2)

directix: y=-1/2

What is the formula for focus and directrix of a parabola?

If the parabola is given by

y=a(x-h)²+k

then the focus of the parabola is given by

(h,k+1/4a)

and the directrix of the parabola is given by

y=k-a

How to solve the problem?

Given parabola is x²=2y

So, the parabola is y=(1/2)x², when compared with y=a(x-h)²+k  we have

a=1/2, h=0 and k=0

So, the focus of the parabola is

[tex](0,\frac{1}{4\frac{1}{2}})= (0,\frac{1}{2})[/tex]

and, the directrix of the parabola is

y= -1/2.

Hence, the parabola has

focus: (0,1/2)

directix: y=-1/2

To learn more about parabola visit- https://brainly.com/question/4074088?referrer=searchResults

#SPJ2

what is the answer to 1.58x1.78=

Answers

The answer is 1.58x1.78= 2.8124

How can you tell that 7. 630 and 7. 63 are equivalent decimals?

Answers

because if you add a zero onto something after the decimal point it doesn't increase or decrease the value of the number.

7.630 is literally just 7.63.

but if it was 76.3 and 760.3 it would be different.

Simplify: Negative two and one-third minus negative ten and one-sixth(20 points)
Negative twelve and one-half -12 1/2 Twelve and one-half 12 1/3 Seven and five-sixths 7 5/6 Negative seven and five-sixths -7 5/6

Answers

Given:

The expression is

[tex]-2\dfrac{1}{3}-\left(-10\dfrac{1}{6}\right)[/tex]

To find:

The value of the expression.

Solution:

We have,

[tex]-2\dfrac{1}{3}-\left(-10\dfrac{1}{6}\right)=-2\dfrac{1}{3}+10\dfrac{1}{6}[/tex]

Convert the mixed fraction in improper fraction.

[tex]=-\dfrac{2\times 3+1}{3}+\dfrac{10\times 6+1}{6}[/tex]

[tex]=-\dfrac{6+1}{3}+\dfrac{60+1}{6}[/tex]

[tex]=-\dfrac{7}{3}+\dfrac{61}{6}[/tex]

Taking LCM, we get

[tex]=\dfrac{-2(7)+61}{6}[/tex]

[tex]=\dfrac{-14+61}{6}[/tex]

[tex]=\dfrac{42}{6}[/tex]

Convert it into mixed fraction.

[tex]=\dfrac{6(7)+5}{6}[/tex]

[tex]=7\dfrac{5}{6}[/tex]

Therefore, the correct option is C.

For the given functions f and g find the indicated composition. f(x) = -2x + 2, g(x) = 3x + 2 A. - 6x - 4.B. - 6x + 8.C. 6x + 8.D. - 6x + 6.Find the Inverse of the one-to-one function. f(x) = 4x + 8

Answers

Answer:

i'm not sure if it is right

Step-by-step explanation:

1, B

g(f(x)) --> g(-2x+2)=3x+2

              g(-2x+2)=3.(-2x+2)+2=-6x+6+2=-6x+8

2,

#1: Write as a linear equation

     y=4x+8

#2: Swap x and y variables

     x=4y+8

#3: Solve for y

     4y+8=x

     4y=x-8

       y=[tex]\frac{x-8}{4}[/tex]

#4: Write in inverse notation:

[tex]f^{-1}[/tex](x)=[tex]\frac{x-8}{4}[/tex]= (x/4) - 2

                                 

20 POINTS AND BRAINLIEST Ed has 93 marbles. In which sequence can he arrange them in to use all the marbles?

Answers

Answer:

A.) asequence with six terms that starts with 1 and has a common ratio of 2

42 is 64% of what number

Answers

Answer: x = 65.63
Explanation:
We have, 64% × x = 42 or, 64/100 × x = 42
Multiplying both sides by 100 and dividing both sides by 64, we have x = 42 × 100 64
x = 65.63

Answer:

the answer is 65.625, 42 is 64% of 65.625

Find x and round to the nearest tenth

Answers

Answer:

The answer is

x = 38.7°

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we use tan

[tex] \tan(\theta) = \frac{opposite}{adjacent} [/tex]

From the question

the opposite is 12

the adjacent is 15

We have

[tex] \tan(x) = \frac{12}{15} \\ x = \tan^{ - 1} ( \frac{12}{15} ) \\ x = 38.659808[/tex]

We have the final answer as

x = 38.7°

Hope this helps you

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