Describe or show how to find the following product using both an algorithm and a diagram:

3 x 3/4

Answer:

b. 8.6

Step-by-step explanation:

Given:

B = 49° 13'

b = 10

Required:

Find a

SOLUTION:

The reference angle given = 49° 13'. Converted to degrees, we have 49.2167°.

b = Opposite side to the reference angle B = 10

a = adjacent side to angle B = ?

To find a, apply the following trigonometric ratios formula:

[tex] tan(B) = \frac{opp.}{adj.} [/tex]

[tex] tan(49.2167) = \frac{10}{a} [/tex]

Multiply both sides by a

[tex] tan(49.2167)*a = \frac{10}{a}*a [/tex]

[tex] tan(49.2167)*a = 10 [/tex]

Divide both sides by tan(49.2167)

[tex] \frac{tan(49.2167)*a}{tan(49.2167)} = \frac{10}{tan(49.2167)} [/tex]

[tex] a = \frac{10}{tan(49.2167)} [/tex]

[tex] a = 8.6 [/tex] (nearest tenth)

Answer:

B.

Step-by-step explanation:

8.6

9514 1404 393

Answer:

Step-by-step explanation:

Using the variables defined in the problem statement, we can write the equations ...

  a + c = 16 . . . . . . . . . . . . number of tickets bought

  10.50a +7.50c = 141 . . . cost of tickets bought

Substituting for c in the second equation, we get ...

  10.50a +7.50(16 -a) = 141

  3.00a +120 = 141 . . . . . . . . simplify

  3a = 21 . . . . . . . . . . . subtract 120

  a = 7 . . . . . . . . divide by 3

  16 -a = c = 9 . . . . . . . find the number of child tickets

They bought 7 adult tickets and 9 child tickets.

_____

If you examine the solution, you see that the number of adult tickets (the higher priced item) is the quotient of the difference between the actual expenditure (141) and the amount that would have been spent on all child tickets (16×7.50=120), and the difference in ticket prices (10.50-7.50=3.00). Knowing this, you can often work problems of this kind in your head.

Answer:

answer is 5

Step-by-step explanation:

Answer:-2.3

Step-by-step explanation:

-8 + 4.5 = -3.5

-3.5 -(-1.2)= -2.3

Answer:

y = 1/2x + 3

Step-by-step explanation:

y2 - y1 / x2 - x1

9 - 5 / 12 - 4 = 4/8 = 1/2

y = mx+b

slope/m = 1/2

y = 1/2x + b

5 = 1/2(4) + b

5 = 2 + b

3 = b

y = 1/2x + 3

The equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

From the question,

We are to determine the equation of the line passing through the points (4, 5) and (12, 9)

Using the formula,

[tex]\frac{y-y_{1} }{x-x_{1}} = \frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]

From the given information

x₁ = 4

y₁ = 5

x₂ = 12

y₂ = 9

Putting the parameters into the formula, we get

[tex]\frac{y-5}{x-4} =\frac{9-5}{12-4}[/tex]

Then,

[tex]\frac{y-5}{x-4} =\frac{4}{8}[/tex]

[tex]\frac{y-5}{x-4} =\frac{1}{2}[/tex]

Then,

[tex]x - 4 = 2(y-5)[/tex]

[tex]x - 4 = 2y-10[/tex]

[tex]x -2y = -10 + 4[/tex]

[tex]x -2y = -6[/tex]

Hence, the equation of the line passing through the points (4, 5) and (12, 9) is x - 2y = -6

Learn more on determining the equation of a line here: https://brainly.com/question/18035751

Answer:

domain={-7,-2,0,4} and range={2,1,5}

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Any value of x makes the equation true.

Answer:

[tex]13x+7y\leq 110[/tex]

Step-by-step explanation:

Let "x" represents the number of games Derrick can buy and "y" represents the number of movies he can buy.

Cost of all video games = $26

Cost of all movies cost = $14

Total amount with Derrick = $220

So,

cost of [tex]x[/tex] video games + cost of [tex]y[/tex] movies [tex]\leq[/tex] 220

Therefore, the inequality is [tex]26x+14y\leq 220[/tex]

Divide this inequality by 2

[tex]13x+7y\leq 110[/tex]

Answer:

[tex]\huge\boxed{x=-26}[/tex]

Step-by-step explanation:

[tex]-0.66x+0.46x=5.2\qquad|\text{combine like terms}\\\\(-0.66+0.46)x=5.2\\\\-0.2x=5.2\qquad|\text{multiply both sides by (-5)}\\\\(-5)(-0.2x)=(-5)(5.2)\\\\x=-26[/tex]

Answer:

-26

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the larger number = y

Let the smaller number = x

x/y = 9/11

y - x = 6

Add x to both sides of the second equation

y = 6 + x

Substitute into the first equation

x/(x + 6) = 9/11

Cross multiply

11x = 9(x + 6)

Remove the brackets

11x = 9x + 54

Subtract 9x from both sides.

2x = 54

x = 54/2

x = 27

y = 27 + 6

y = 33

(27,33)

Answer:

B, 2x^2 - 4x + 8

Step-by-step explanation:

Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:

Length × Width = Area

Given these values, rearrange the formula to find the width:

Width = Area / Length

Then just substitute the values, and

simplify the expression:

Width = (4x^2 - 8x + 16) / 2

Width = 2x^2 - 4x + 8

Answer:

I think its B but dont keep my word as facts thats just what i think hope this helps even a little

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

11.43 centimeters

Step-by-step explanation:

Given the equivalent ratios :

StartFraction 1 inch Over 2.54 centimeters EndFraction = StartFraction 4.5 inches Over question mark

1 inch / 2.54 cm = 4.5 inch /?

Let missing value = x

1 inch / 2.54 cm = 4.5 inch /x

Cross multiply

1 inch * x = 2.54 * 4.5

1 inch * x = 11.43

x = 11.43 cm

Hence, missing value = 11.43 centimeters

Answer:

it is multiply and 11.43

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

Step-by-step explanation:

(X+2)(x-7)

Answer:

yes you should be surprised

it's 88 I've been getting so mix up forgive me So the area of the square is 64. When you find the area of the triangle you multiply the base by its height, which is 6 by 8 and then you divide by two. 64+24=88

Answer:

3.4X10^-4

remove the zeros and add a decimal point after the first number eg.

0.00034 -->  34 --> 3.4

then add a x 10 eg.

3.4x10

then add a power- if the number is larger than 1 count the amount of zeros and add that as your power eg.

3400 -> 34 -> 3.4 -> 3.4x10^2

If the number is lower than one use a negative power eg.

0.00034 -> 34 -> 3.4 -> 3.4x10^-4

(Hope this helps sorry if its to complicated)

Answer:

[tex](0,-1)[/tex]

Step-by-step explanation:

[tex](x^{2} -x^{1} )(y^{2} -y^{1} )[/tex]- the formula

[tex](-1 - -1) = 0[/tex]

[tex](-8 - -7) =-1[/tex]

So, the answer is:

[tex](0,-1)[/tex]

or

[tex]0=-1[/tex]

  ^

this is the swiggly line

Answer:

what is the equation?

Step-by-step explanation:

Answer:

B. $1.45 + $0.55 is less than or equal to $35

Step-by-step explanation: Because Ariel has to pay $1.45 when she gets in the taxi then each mile after (x) is $0.55 and she only has $35 therefore it is less than or equal to.

Answer:

Step-by-step explanation:

5x-(0)=30

add 0 to both sides to cancel

5x=30

divide by 5 on both sides to cancel

x=6

Answer:

x = 1 , y = 1 , z = 0

Step-by-step explanation:

Solve the following system:

{-2 x + 2 y + 3 z = 0 | (equation 1)

-2 x - y + z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Subtract equation 1 from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x - 3 y - 2 z = -3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Multiply equation 2 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

2 x + 3 y + 3 z = 5 | (equation 3)

Add equation 1 to equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+3 y + 2 z = 3 | (equation 2)

0 x+5 y + 6 z = 5 | (equation 3)

Swap equation 2 with equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+3 y + 2 z = 3 | (equation 3)

Subtract 3/5 × (equation 2) from equation 3:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - (8 z)/5 = 0 | (equation 3)

Multiply equation 3 by 5/8:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y - z = 0 | (equation 3)

Multiply equation 3 by -1:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y + 6 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 6 × (equation 3) from equation 2:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+5 y+0 z = 5 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 2 by 5:

{-(2 x) + 2 y + 3 z = 0 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 2 × (equation 2) from equation 1:

{-(2 x) + 0 y+3 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Subtract 3 × (equation 3) from equation 1:

{-(2 x)+0 y+0 z = -2 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Divide equation 1 by -2:

{x+0 y+0 z = 1 | (equation 1)

0 x+y+0 z = 1 | (equation 2)

0 x+0 y+z = 0 | (equation 3)

Collect results:

Answer: {x = 1 , y = 1 , z = 0

Answer:

x= 1, y = 1, z=  0

Step-by-step explanation

-2x + 2y + 3z = 0

2x + 3y + 3z = 5

-2x - y + z = -3

2x + 3y + 3z = 5

(solving systems)

5y + 6z = 5

2y + 4z = 2

(rewriting)

z = 0

y = 1

-2x + 2 x 1 + 3 x 0

x=1

Answer:

0.7

Step-by-step explanation:

-4 - x1

3 - y1

2- x2

-1- y2

-1 - 3

2 - -4

-4

6

-4/6 = 0.7

Answer:

-4/6

Step-by-step explanation:

-1-3/2-(-4)=-4/6

Answer: The slope is m = -[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Answer: - 4,3

Step-by-step explanation:

Answer:

2 ans is 7 2x_4+2x_7=17

Answer: 40%

Steps: Forty percent of $30 is $18.

Plz mark brainliest:)

Answer:

25%

Step-by-step explanation: