Which equation correctly uses the value of x to represent the cosine of angle A? cos(53o) = StartFraction 4 Over x EndFraction cos(53o) = StartFraction y Over 5 EndFraction cos(53o) = StartFraction x Over 4 EndFraction cos(53o) = StartFraction 5 Over y EndFraction

Answer:

The fraction of the trip completed is ³/₈

The fraction of the trip completed in decimal form is 0.375

Step-by-step explanation:

Given;

total trip to be completed by Tora, = 320 miles

distance completed by Tora, = 120 miles

The fraction of the race that Tora has completed is given as;

[tex]= \frac{distance \ completed}{total \ distance} \\\\= \frac{120}{320}\\\\= \frac{12}{32} \ (divide \ both \ numerator \ and \ denominator \ by \ 4)\\\\= \frac{3}{8}[/tex]

As a decimal the fraction is written as;

[tex]\frac{3}{8} = 0.375[/tex]

Answer: 29 divided by 5                   5 4/5

Step-by-step explanation: EDGE 2022

Answer:

y=4/5x+6

Step-by-step explanation:

iogmkiuAnswer:

Step-by-step explanation:

gjkih

Given:

The equation of circle is

[tex](x+3)^2+y^2=9[/tex]

To find:

The polar form of given circle.

Solution:

We have,

[tex](x+3)^2+y^2=9[/tex]

[tex]x^2+2(x)(3)+(3)^2+y^2=9[/tex]        [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

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

Subtracting 9 from both sides, we get

[tex](x^2+y^2)+6x=0[/tex]

We know that, [tex]x^2+y^2=r^2[/tex] and [tex]x=r\cos \theta[/tex].

[tex]r^2+6(r\cos \theta)=0[/tex]

[tex]r(r+6\cos \theta)=0[/tex]

[tex]r=0[/tex] and [tex]r+6\cos \theta=0[/tex]

We know that, r is radius it cannot be 0. So,

[tex]r+6\cos \theta=0[/tex]

[tex]r=-6\cos \theta[/tex]

Therefore, the correct option is A.

Answer:

The correct answer would be 25

Step-by-step explanation:

32+(−3)(4)−(−5)

=32+−12−(−5)

=20−(−5)

=25

Hope this helps have an amazing day!!

Answer:

121

Step-by-step explanation:

32+(-3)×4-(-5)

29×4-(-5)

116-(-5)

116+(+5)

121

dysodjd kfudoandudslfhsotn

Answer:

132

Step-by-step explanation:

it is

Simple interest is the interest calculated on the principal at a given rate for a time period.

The formula for simple interest is given as,

SI = (P x R x T) / 100

P = Principal

R = rate

T = time in years

The interest that will be paid after 3 years with 8% interest is $132.

It is the interest calculated on the principal at a given rate for a time period.

The formula for simple interest is given as,

SI = (P x R x T) / 100

P = Principal

R = rate

T = time in years

We have,

P = $550

R = 8%

T = 3 years

SI = (P x R x T) / 100

SI = (550 x 8 x 3) / 100

SI = $132

Thus,

The interest that will be paid after 3 years with 8% interest is $132.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

Answer:

La familia paga 72 €.

Step-by-step explanation:

Una familia, formada por3 adultos y 6 niños , va al Parque de Atracciones. Las entradas de los niños cuestan 8 € y las de los adultos 12 €.

Entonces, para calcular el precio que deben pagar los adultos se debe multiplica la cantidad de adultos que asisten al Parque de Atracciones por el precio de una entrada de adultos.

3 adultos* 12 €= 36 €

Para calcular el precio que deben pagar los niños se debe multiplica la cantidad de niños que asisten al Parque de Atracciones por el precio de una entrada de niños.

6 niños* 8 €= 48 €

Sumando el total pagado por la entrada para adultos y para niños se obtiene:

36 € + 48 €=  84 €

La familia debería pagar 84 €. Pero por cada 3 entradas que se compran rebajan 4 €. En este caso se deben pagar 3 entradas para adultos y 6 para niños, es decir que se deben pagar 9 entradas en total. Por lo que la familia debe pagar 3 "packs" de 3 entradas. Entonces, se rebaja:

3 "packs" de 3 entradas*  4 €= 12 €

Entonces, del total a pagar por la familia se debe restar la rebaja que el parque realiza:

84 € - 12 €= 72 €

Finalmente, la familia paga 72 €.

Answer:

1/2

1/2 = 50%

9/12 = 75%

Step-by-step explanation:

Answer:

D. 16 km

Step-by-step explanation:

Hope this helps!

Given:

The function on the Input output table.

To find:

The range of the given function.

Solution:

We know that, range is the set of output values.

From the given table it is clear that, hours of training is the input variable and pay per month is the output value.

So, range of the given function is the set of pay per month.

Range = {1100, 1200, 1300, 1400, 1500, 1600, 1700}

Therefore, the correct option is A.

Answer:

1 is 22; 2 is 19; 3 is 16; 4 is 13; 5 is 10

Step-by-step explanation:

Give me that crown again

Answer:

22, 19, 16, 10

Step-by-step explanation:

y = 25-(3*1)= 22

y = 25-(3*2)= 19

y = 25-(3*3)= 16

y = 25-(3*5)= 10

⠀⠀⠀⠀

Equation have No solutions

⠀⠀⠀⠀

______________________

⠀⠀⠀⠀

⠀⠀⠀⠀

For solving such problems we need to recall equations .

⠀⠀⠀⠀

When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .

⠀⠀⠀⠀

━━━━━━━━━━━━━━━━━

⠀⠀⠀⠀

➠ 8( 3x - 6 ) = 6(4x + 8 )

➠ 24x - 48 = 24x + 48

Now, we will bring the variable on left hand side and constants on right hand side

➠ 24x - 24x = 48 + 48

➠ 0 = 48 + 48

➠ 0 = 96

As we can see the equation have end with a undefined value the equation have no solutions

➠ No Solutions

━━━━━━━━━━━━━━━━━

Answer:

Yes, good job! :)

Answer: 1/2 as a fraction

.5 as a decimal

Step-by-step explanation: The probability of them rolling a number would be 3/6 or simplified 1/2 because if there is a 6 sided dice the denominator would be 6 and there are 3 odd numbers on the dice which are 1,3,and 5 so if u have to simplify it would be 1/2 if not 3/6. Also 1/2 as a decimal would be .5

Answer:

Fraction: 1/2, Decimal: 0.5

Step-by-step explanation:

From numbers 1 to 6, 3 of them are odd numbers, 1, 3, and 5

So 3/6 of the numbers are odd numbers, now we have to see if we can simplify 3/6, which u can, 3/6 = 1/2

1/2 is ur fraction, to find ur decimal divide 1 by 2, and u get 0.5

Answer:

Step-by-step explanation:

Total number of tools for both = 564.

Dr Brown used 386 tools for 6 experiments.

average number of tools per experiment used by Dr Brown = [tex]\frac{386}{6}[/tex]

                                               = 64[tex]\frac{1}{3}[/tex]

Dr Rachal used 236 tools for 8 experiments.

average number of tools per experiment used by Dr Rachal = [tex]\frac{236}{8}[/tex]

                                                = 29[tex]\frac{1}{2}[/tex]

i. The number of more experiment that can be done by Dr Brown = (564 - 386) ÷ (64[tex]\frac{1}{3}[/tex])

                                 = 2.7668

Dr Brown can do two more experiments.

The number of more experiments that can be done by Dr Rachal = (564 - 236) ÷ (29[tex]\frac{1}{2}[/tex])

                                  = 11.1186

Dr Rachal can do 11 more experiments.

ii. Number of tools left after Dr Brown's experiments = 564 - 386

                                                            = 178

Number of tools left after Dr Rachal's experiments = 564 - 236

                                                            = 328

Answer:

A. {2, 4, 6, 8}

Step-by-step explanation:

"U" is the set of whole numbers form 1 to 8

"P" is the set of odds within that, so that leaves P' as the evens.

The complement of 45° is the angle that when added to 45° forms a right angle (90° ).

Answer:

it would be at 3

cause double negatives cancel out- if u c something like -- or -(-) they would become a positive- so you would plot it at positive 3

hope this helps (again lol)

<33

Step-by-step explanation:

Answer:

plot at 3

Step-by-step explanation:

a negative number times another negative number will result in a positive number

therefore,  - (-3)=3

Answer:

9.66

Step-by-step explanation:

38.64/4

9.66

Answer:

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Step-by-step explanation:

According to the statement, let [tex]A(x,y) = (14,21)[/tex] and [tex]B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A})[/tex]. The equation of the line in point-slope form is defined by the following formula:

[tex]y-y_{A} = m\cdot (x-x_{A})[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]y_{A}[/tex] - Coordinates of the point A, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

[tex]m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)

If we know that [tex]x_{A} = 14[/tex] and [tex]y_{A} = 21[/tex], then the equation of the line in point-slope form is:

[tex]x_{B} = 1.25\cdot (14)[/tex]

[tex]x_{B} = 17.5[/tex]

[tex]y_{B} = 0.75\cdot (21)[/tex]

[tex]y_{B} = 15.75[/tex]

From (2):

[tex]m = \frac{15.75-21}{17.5-14}[/tex]

[tex]m = -\frac{3}{2}[/tex]

By (1):

[tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex]

The equation of the line in point-slope form is [tex]y-21 = - \frac{3}{2}\cdot (x-14)[/tex].

Answer:

1.5 = 150%

.15 = 15%

.01 = 1%

.1 = 10%

Please give brainliest

Answer:

1.5 = 150%

.15 = 15%

.01 = 1%

.1 = 10%

Step-by-step explanation:

Given :

An expression (cos 6m)(cos 2m) .

To Find :

We need to express it in terms as sum or difference.

Solution :

We know,

cos( A + B ) = cosA cos B - sin A sin B

cos( A - B ) = cosA cos B + sin A sin B

Adding both the equations we get :

2cos A cos B = cos( A + B) + cos( A - B )

or

cos A cos B = cos( A + B) + cos( A - B )/2

Putting value of A = 6m and B = 2m in above equation, we get :

(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2

(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2

Hence, this is the required solution.

Answer:

7,870,370

give me brainliest

Answer:

The change in momentum is: 60 N.s

Step-by-step explanation:

By Newton's second law:

F = ∆p / ∆t

Given that

Using the formula to determine the change in momentum

F = ∆p / ∆t

∆p = F × ∆t

     = 12 × 5

      = 60 N.s

Therefore, the change in momentum is: 60 N.s

Answer:

1 3/20

Step-by-step explanation:

1. Make them all into fractions:

-8/4 -1/4 -(-15/5 -2/5)

2. Add like-terms:

-9/4 -(-17/5)

3. A negative times a negative makes a positive:

-9/4 +17/5

4. Identify the least common denominator (LCD):

20

5. Apply:

-9x5/4x5 +17x4x/5x4

6. Solve:

-45/20 +68/20

7. Result:

23/20, simplified 1 3/20