Use law of sines or law of cosines to find the length of side AB Please show work !!

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Answer:

  A.  3x -7

Step-by-step explanation:

Substitute for f and g, then collect terms.

  (f -g)(x) = f(x) -g(x) = (4x -3) -(x +4)

  (f -g)(x) = 4x -3 -x -4 = (4-1)x +(-3-4)

  (f -g)(x) = 3x -7

Answer:

4ti + 5tj + k

Step-by-step explanation:

Initial condition V(0) = k

at t = 0

general equation for v(t )

V(0) = 0i + 0j + c = k

when we compare V(0) and solve for c ,     c = k

back to general equation

V(t) = 4ti + 5tj + c = 4ti + 5tj + k

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

In a rhombus, the diagonal is also the bisector of the angle, so the two vlaue must be congruent

2x + 35 = 8x- 37

6x = 72

x = 12

Answer:

the work done in stretching the spring from its natural length is -1.8 ft.lb

Step-by-step explanation:

Given the data in the question;

From Hook's law, the magnitude of force applied on a spring is expressed as follows;

|F| = k|x|

where F is the force applied the spring, k is the spring constant, x is the length extension

Now, given that; F = 4 pounds = 4 lb and x = 0.4 ft

we substitute

4 = k × 0.4

k = 4 / 0.4

k = 10 lb/ft

Also, Hook's law can be expressed as follows;

F = -kx  ---------- let this be equation 1

Now, work done by a force applied between two points is expressed as follows;

dW = Fdx ----------- let this be equation 2

substitute equation 1 into equation 2

dW = (-kx )dx

we integrate both side

∫(dW) = ∫((-kx )dx)

W = -k∫xdx

W = -k[tex]\frac{x^2}{2}[/tex]

w = -[tex]\frac{1}{2}[/tex]kx²

we substitute 10 lb/ft for k and 0.6 ft for x

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × (0.6 ft)²

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × 0.36 ft²

w = -1.8 ft.lb

Therefore, the work done in stretching the spring from its natural length is -1.8 ft.lb

Answer:

k = 13

Step-by-step explanation:

The sum of the angles is 180 since they form a straight line

4k-7 + 90 + 3k+6 = 180

Combine like terms

7k+89=180

Subtract 89 from each side

7k+89-89 = 180-89

7k =91

Divide each side by 7

7k/7 = 91/7

k = 13

Answer:

Can't be possible.

Step-by-step explanation:

Given:

6+7(x+75)=1

So according to given equation it can't be possible because when we add some value in 6 their result will be always greater than 1.

Answer:  B.  10

Explanation: Any number is a factor of itself.

We can rule out choices A, C and D because those values are larger than 10. They are multiples of 10, but not factors of 10.

Answer:

 c^63 Your welcome   !!

Step-by-step explanation:

Answer:

a4(5a2−20a+42)

Step-by-step explanation:

Factor 5(a6+2a5)−6a(5a4−7a3)

5a6−20a5+42a4

=a4(5a2−20a+42)

Make me brainliest!

9514 1404 393

Answer:

  100 miles

Step-by-step explanation:

A. The answers shown are correct

__

B. Equate the values of y and solve for x.

  0.20x +20 = 0.10x +30

  0.10x = 10 . . . . . . . subtract (20+0.10x)

  x = 100 . . . . . . . . divide by 0.10

The rental charges are the same for 100 miles.

Answer:

The average distance between common points on successive cars in one lane is of 100.8 feet.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

The cars travel at an average speed of 42 mph

Each mile has 5280 feet, so in 1 hour, the distance is of 42 miles = 221760 feet.

2200 pcphpl (i.e. passenger cars per hour per lane).

2200 cars in 221760 feet. Thus:

[tex]d = \frac{221760}{2200} = 100.8[/tex]

The average distance between common points on successive cars in one lane is of 100.8 feet.

Answer:

see below

Step-by-step explanation:

The drawing in blue is what we are told in the problem.

We are given two sides and two angles.  It is an isosceles  triangle with two equal sides and two equal angles.  Draw a perpendicular bisector  ( it makes a 90 degree angle.  Now we have two identical right triangles.  We can use trig functions to find x

cos theta = adj/ hyp

cos 32.4 = x / 5.5

Solving for x

5.5 cos 32.4 =x

Now we have 2x for the third side of the triangle

2( 5.5 cos 32.4) is the third side

P = 5.5 + 5.5 + 2( 5.5 cos 32.4)

Answer:

See the Below

Step-by-step explanation:

Answer:

n+3 = 15 ; n = 12

3n -6 = 12;  n=6

Step-by-step explanation:

more than means it comes after

a number

n

3 more than

n+3

is 15

n+3 = 15

Subtract 3 from each side

n+3-3 = 15-3

n = 12

Subtract from comes after

three times a number

3n  

six subtracted from

3n -6

is 12 means equal to

3n -6 = 12

To solve add 6 to each side

3n -6+6 =12+6

3n = 18

Divide by 3

3n/3 =18/3

n =6

Answer:

A = 3 - x = 15   B = 6 - 3 times x  = 12

Step-by-step explanation:

Answer: Crayfish, 25 s

Step-by-step explanation:

Given

The length of race is 60 cm

Flicker gets a 10 cm head-start

Cray fish covers 6 cm in 5 s i.e. its speed is

[tex]\Rightarrow \dfrac{6}{5}=1.2\ cm/s[/tex]

Flicker covers 4 cm in 5 s, its speed is

[tex]\Rightarrow \dfrac{4}{5}=0.8\ cm/s[/tex]

Time taken by Cray fish to cover the race is

[tex]\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s[/tex]

Time taken by flicker to cover race with 10 cm head start

[tex]\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s[/tex]

Time taken by crayfish is less. Hence, crayfish wins the race

When they both covers the same distance, they tied momentarily i.e.

[tex]\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s[/tex]

After 25 s, they tied the race.

i got it wrong dont lisen to this

Answer:

option D

Step-by-step explanation:

D is equal to 0 that is greater than B which is -2 by theory

Answer:

he has to many apples

Step-by-step explanation:  

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Answer:

6.3 Cubic cm

Step-by-step explanation:

[tex]V=A*h=(1.8*1.2+.5*1.1*1.8)*2=6.3cm^{3}[/tex]

Answer:

17,290 yd2

Step-by-step explanation:

I rlly don't know how u were taught to solve it but what I did was multiply all the sides

Complete question :

Martin deposits $200 in a savings account that earns 5% annual interest. four years later, cary deposits $200 in an account earning the same interest. let m represent the balance in martins account and let c represent the amount of money in carys account. choose the pair of expressions that describe the accounts y years after martin opened his account. martin: 200(1.05)y cary: 200(1.05)y+4 martin: 200(1.05)y+4 cary: 200(1.05)y4 martin: 200(0.05)y cary: 200(0.05)y4 martin: 200(1.05)y cary: 200(1.05)y4 choose the equation that relates the balances in the accounts y years after martin opened his account. c = m(1.05)4y m = c(1.05)4y c = 1.22m m = 1.22c

Answer:

m = m = 200(1.05)^y+4

c = m = 200(1.05)^y

m = 1.22c

Step-by-step explanation:

The future value can be represented as :

Future value, F = P(1 + r)^n

r = interest rate = 5% = 0.05 , n = number of years ;

For Martin :

m = 200(1 + 0.05)^n

For cyan :

c = 200(1 + 0.05)^n

y years after Martin

Cyan opened 4 years after Martin :

Representing in terms of y

Cyan = y ; Martin = y +4

m = m = 200(1.05)^y+4

c = m = 200(1.05)^y

From. Indices :

(1.05)^y+4 = 1.05^y * 1.05^4

Hence,

m = 200 * 1.05^y * 1.05^4

c = 200 * 1.05)^y

Hence,

m = c * 1.05^4

m = c * 1.2155

m = c * 1.22

m = 1.22c

Answer:

the first question is d and so is the second one

Step-by-step explanation:

It is very simple

Any number's absolute value should be positive

Let's say absolute value of 3 - >answer is 3

But absolute value of - 3 - > is also 3

Hope you understood it.

Answer:

Step-by-step explanation: In order to find the absolute value all you do is see what number you have and turn into an positive, say "what is the absolute value"  of -5" it would just be 5,

Hope this helps :)

Answer:

6x - 21 = 105 (vertically Opposite angles)

6x = 105 + 21

6x= 126

x=126/6

x= 21°

That should be the fifth option

OR

Another Way of solving

(6x - 21) + 75 = 180 ( angles on a straight line)

6x -21 + 75 =180

6x + 54 = 180

6x =180 - 54

6x = 126

x=126/6

x=21°

[tex] \large \sf \star \: \green{Answer} \: \star[/tex]

x = 21 °

Step-by-step explanation:

Here,

6 x - 21 ° + 75 ° = 180 °

6 x + 54° = 180 ° ...( Combine like terms)

subtract 54 ° from each sides

54° - 54° + 6 x = 180 ° - 54 °

6 x = 126°

x = 126 ° / 6 ...( Divide by 6 )

x = 21 °

Answer:

m<ADE = 57 degrees

Step-by-step explanation:

Angles of a quadrilateral add up to 360. We are already given 69 and 45, which can both be subtracted from 360, leaving us with 246. Since the two remaining angles are congruent, 246 can be divided by 2 to find the remaining measure(s). We are left with 123. However, m<ADE is supplementary to this. So we subtract 123 from 180. The final answer is 57 degrees.

Step-by-step explanation:

3890 - 3200

=690

(690÷3200) x 100%

=21.56%

Answer:

21.56/ 21.6/ 22 (depending on the decimal places you want)

Step-by-step explanation:

Current figure- original figure / Original figure * 100

3890-3200 = 690

690/3200 = 0.215625

0.215625 * 100 =   21.56  /   21.6  / 22

* means multiply

Answer: 0.77

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

the chart adds up to 1 as a whole so 23% chose football and there is a 23% chance the next person will also choose football.

Answer:

1.4%

Step-by-step explanation:

1.4 = [tex]\frac{14}{1000}[/tex]

    =[tex]\frac{14/10}{1000/10}[/tex]

    =[tex]\frac{1.4}{100}[/tex]

    =1.4%

Answer:

A & E

Step-by-step explanation:

Main equation: [tex]6^{3} = 216[/tex]

A. [tex]\frac{6^{7} }{6^{4}} = 6^{3} = 216[/tex]

B. 18

C. [tex](6^{1})^{2} = 36[/tex]

D. 81

E. 6 * 6 * 6 = 216

F. [tex]6^{2} + 6^{1} = 36 + 6 = 42[/tex]

Hope this helps!

Please mark as the Brainliest!

Answer:

74 Cars

Step-by-step explanation:

If each motorbike has 2 wheels then we need to find how many wheels the motorbikes already take up.

We do this by doing 14*2 and we get 28 wheels.

Afterwards, we subtract this from the total of 324 to see how many wheels are left over. 324-28=296

Now we know the remaining amount of wheels and with this we can get our final answer!

Since there are 296 remaining wheels and each car takes up 4 we can divide 296 by 4 to see how many cars would be able to get their full set of tires.

296/4 = 74 and that;s how you get 74 cars!

*I think LOL*