Which of the following equations correctly represents the law of cosines?

1: True

2: False

3: False

4: True

5: False

6: True

Answer:

A number has to be the answer

Answer:

3x²+12x-2x-8. = 0

3x(X+4)-2(X+4) = 0

(x+4)(3x-2) =0

[tex]x = (- 4) \: or \: x = \frac{2}{3} \: are \: the \: solutions[/tex]

Answer:

x = -1

Step-by-step explanation:

If you input -1 to both functions, you get 3.

Answer:

*Refer the image attached

Step-by-step explanation:

*Refer the image attached

Answer:

∠CAB

Step-by-step explanation:

Exterior angles include two corner points and one point not on the triangle. Thus, ∠CAD would be an exterior angle.

Answer:

Step-by-step explanation:

A triangle has 3 interior angles. In this case, they are

<ABF

<BFA

<FAB

An exterior angle is the supplement of one of the angles. In this case, there is only 1 angle that qualifies -- <CAB which is the supplement of BAF.

All the other choices are not supplements to any of the interior angles such as

<BAD

<AFE

<CAD

Answer:

93600

Step-by-step explanation:

24=3*2*2*2

y=0,8

1) x3600, then x=9,6,3

2)x3608, then x=1,4,7

9 is the largest so the final answer is 93600

Answer:

Step-by-step explanation:

From the given trapezium, the following can be observed:

           i. trapezium ABCD

           ii. AB || DC

           iii. EF || AB

           iv. EF || DC

Let AD ≅ BC, then:

AD = AE + ED

BC = BF + FC

So that with the condition that;

AE ≅ BF

and

ED ≅ CF

So then;

AE:ED ≅ BF:FC

Which implies that;

[tex]\frac{AE}{ED}[/tex] = [tex]\frac{BF}{FC}[/tex]

Answer:

3km/h

Step-by-step explanation:

total distance ÷ total time = average speed

6 ÷ 2 = 3

Answer:

Step-by-step explanation:

thats the link for the diagram

Answer:

The nucleus of a titanium atom has 22 protons and 26 neutrons

If you search online for 'Bohr's diagram for titanium' it might help.

__

It will become Ti ^4+

Bohr diagrams indicate how many electrons fill each principal shell. This means that they can achieve a stable configuration and a filled outer shell by donating or losing an electron. As a result of losing a negatively-charged electron, they become positively-charged ions.

Answer:

using Pythagoras' theorem c²=a²+b²

the diagonal is the hypotenuse of one of the triangles formed

let x represent one side of the square

√48²=x²+x²

√48²=2x²

48=2x²

48/2=2x²/2

24=x²

√24=√x²

4.8989794855663561=x

~4.90

Area of the square=side x side

4.90x4.90

24.01units²

Answer:

The function is:

[tex]f(t) = -16t^2 + 50t + 3[/tex]

Step-by-step explanation:

Given

[tex]height = 3ft[/tex]

[tex]velocity = 50ft/s[/tex]

[tex]acceleration = -16ft/s^2[/tex]

Required

The function

Let t represents time;

So, we have:

[tex]f(t) = acceleration * t^2 + velocity * t + height[/tex]

So, we have:

[tex]f(t) = -16* t^2 + 50* t + 3[/tex]

[tex]f(t) = -16t^2 + 50t + 3[/tex]

Answer:

b on edge

Step-by-step explanation:

Answer:

4x-2

Step-by-step explanation:

X=muffins

Answer:

isnt it 41

Step-by-step explanation:

Answer:

x = 90°

Step-by-step explanation:

Since AC || BD

x + 90° = 180°

x = 180 - 90

x = 90°

Answer:

- 7 / 4

Step-by-step explanation:

Slope = (y2 - y1) / (x2 - x1)

Slope = (1 - -6) / (-5 - -1)

Slope = - 7 / 4

Answer:

Slope: -7/4

Step-by-step explanation:

If you're given two points:

(x_1, y_1) & (x_2, y_2)

The formula for slope is:

(y_2 - y_1)/(x_2 - x_1)

x_1 = -5

x_2 = -1

y_1 = 1

y_2 = -6

Plug them into the slope formula and solve:

(-6 - 1)/(-1 - (-5))

(-7)/(-1 + 5)

-7/4

Hope it helps (●'◡'●)

Answer:

0.054, 0.405, 0.45, 0.54

Answer:

0.054, 0.405, 0.45, 0.54

Step-by-step explanation:

1. The 0 after the decimal point makes it the smallest

2. 405/1000 < 45/100

3. 45/100 < 54/100

Answer:

9 possible values of length and breadth.

Step-by-step explanation:

Given that the area of the rectangle is 18cm² . And the lengths of the sides are whole numbers. We need to tell the possible dimensions of the rectangle .

Let :-

[tex]\rm\implies Length = x [/tex]

[tex]\rm\implies Breadth = y [/tex]

We know that :-

[tex]\rm\implies Area = length \times breadth [/tex]

[tex]\rm\implies Area = x y \\\\\rm\implies xy = 18cm^2 [/tex]

Now look out for the possible factors of 18 . That is , ( 1 × 18 ) , ( 2 × 9) , ( 3 × 6 ) , ( 6 × 3 ) , ( 9 × 2 ) , (18 × 1 ) . That is total 9 possible values .

What is the value of tan in the unit circle below?

The value of tan in the unit circle below is

[tex] \frac{ \sqrt{3} }{2} [/tex]

Note:- Please attach the full question next time.

Answer:

9.4

Step-by-step explanation:

cos 32° = 8/x

x = 8/ cos 32°

= 8/ 0.8480

= 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

The value of 'x' is given by the cosine of the angle ∠VWU. And the cosine of an angle is the ratio of the base and hypotenuse of the right-angle triangle. Then we have

cos 32° = 8 / x

x = 9.4

The value of the variable 'x' using the cosine formula will be 9.4 units.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ7

Answer:

x - y = 0

Step-by-step explanation:

y2 - y1 / x2 - x1

5 - 1 / 5 - 1

4/4

= 1

y = 1x + b

5 = 1(5) + b

5 = 5 + b

0 = b

Answer:

b.

b.

Step-by-step explanation:

scientific notation should have one positive in front of the decimal point, then any number (>=1) of positions after the decimal point, followed by the multiplication with the property power of 10.

the only number not following that rule is b (2 positions in front of the decimal point).

4x - 2y = 6

2x - y = 3

are the same line, as we can multiply the second equation by 2 and get exactly equation 1.

so, both lines have the same slope and the same y-intercept. therefore, they have infinitely many solutions.

Answer:

14

Step-by-step explanation:

7h-5(3h-8)=-72

or, 7h-15h+40=-72

or, 40+72=15h-7h

or, 112=8h

or, h=112/8

therefore,h=14

Answer:

Step-by-step explanation:

Answer:

x= 5/2= 2.500

x= -1 - Divisor: -3/2 = -1-(i)Divisor:3/2= 0.5000-0.8660(i)

x= -1+Divisor: -3/2= -1+(i)Divisor:3/2=-0.5000+0.8660(i)

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

 (((2 • (x3)) -  3x2) -  3x) -  5  = 0  

STEP  

2

:

Equation at the end of step

2

:

 ((2x3 -  3x2) -  3x) -  5  = 0  

STEP

3

:

Checking for a perfect cube

3.1    2x3-3x2-3x-5  is not a perfect cube

Trying to factor by pulling out : 3.2      Factoring:  2x3-3x2-3x-5  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3x-5  

Group 2:  -3x2+2x3  

Pull out from each group separately :

Group 1:   (3x+5) • (-1)

Group 2:   (2x-3) • (x2)

Bad news !! Factoring by pulling out fails :

Answer:

2x² + 5x – 18 Remainder 59

Step-by-step explanation:

2x³ – x² – 3x + 5 ÷ x + 3

                   2x² + 5x – 18

x + 3 √ 2x³ – x² – 3x + 5

        – 2x³ – 6x²

            0  +  5x² – 3x + 5

                  – 5x² + 15x

                    0 – 18x + 5

                    – –18x –54

                             0 + 59

2x³ – x² – 3x + 5 ÷ x + 3 = 2x² + 5x – 18 Remainder 59

Answer:

y = 6,2,0,0,2,6

hope this helps

Step-by-step explanation:

Answer:

x=0.5

Step-by-step explanation:

10x-40-5x=2x+30

5x+10=25x

10=20x

x=0.5

Answer:

[tex]{ \tt{length = \sqrt{ {( - 2 - 5)}^{2} + {(3 - 7)}^{2} } }} \\ = \sqrt{65} \\ = 8.06 \: units[/tex]

Answer:

48 days

Step-by-step explanation:

Swim = every 6 days

Run = every 4 days

Cycles = every 16 days

Find the lowest common multiple of 6, 4 and 16

6 = 6, 12, 18, 24, 30, 36, 42, and 48

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48

16 = 16, 16, 32, 48, 64, 80, 96, 112, 128, 144, 160

The LCM of 6, 4 and 16 is 48

Therefore,

If she did all 3 activities today, she will do all 3 activities again in the next 48 days

Answer:

The answer is c=5,-5

Answer:

[tex]r^2 = 0.826^ 2 =.6822[/tex]

[tex]r^2 =[/tex] a measure of how strong the ("how fit") the relationship is

it is always positive between 0 and 1

Step-by-step explanation:

coefficient of determination = r^2

r^2 = 0.826^ 2 =.6822

Answer:

95%-70%=15%

$876.08×15% =$131.412

Answer:

512.51

Step-by-step explanation:

Hope this helps! :)