Matteo is following this recipe to make a cake.
He wants to make four of these cakes.
How much of each ingredient does he need?

Answer:

angle 1 and 3 are 127.3 degrees and angle 2 is 52.7 degrees

Step-by-step explanation:

so angle 2 is also 52.7 degrees because angle 2 and 4 are  vertical oppostite angles  

so we can look at it now that we have to find angle 1. since we know a line is 180 degrees we make angle 1 plus angle 2 equal to 180

let angle 1 be x

x + 52.7 = 180

x = 180 - 52.7

x = 127.3

Answer:

m∠1 = 127.3°

m∠2 = 52.7°

m∠3 = 127.3°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4

If m∠4 = 52.7° then m∠2 = 52.7°

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ m∠3 + 52.7° = 180°

⇒ m∠3 = 180° - 52.7°

⇒ m∠3 = 127.3°

As m∠1 = m∠3  then  m∠1 = 127.3° also.

One way to test if a graph is a function or not is by doing a vertical line test.

The vertical line test is tested by testing if any vertical line is drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function, if there isn't any such line, the graph is a function.

Hope that helps!

Answer:

Vertical line test. (literally what it say)

Step-by-step explanation:

Given a graph, use the vertical line test to determine if the graph represents a function. Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

Therefore you would have x value being the same for several points.

Answer:

Step-by-step explanation:

probability = number of favorable outcomes/total number of outcomes

To find compound probability multiply all the probabilities together.

p(3) = 1/6

p(4) = 1/6

p(1) = 1/6

p(2) = 1/6

p(6) = 1/6

Multiply all of them together.

1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7,776

or

[tex](\frac{1}{6} )^5 = \frac{1}{7,776}[/tex]

Answer:

Width = 12in, Length = 17in

Step-by-step explanation:

We can create two expressions from the given statements:

1) L (length) = 5 + W (width)

and

2) 58 = 2L + 2W (the equation for rectangular perimeter)

Substituting L from the first equation into the second equation yields:

58 = 2(5+W) + 2W

Distributing the 2 and solving for W yields:

12in = W

Plug this back into the first expression,

L = 5 + 12

L = 17in

Answer:

width = 12 in

length = 17 in

Step-by-step explanation:

Let width of rectangle = x

⇒ length of rectangle = x + 5

Given:

Perimeter = 2 × width + 2 × length

⇒ 58  = 2x + 2(x + 5)

⇒ 58  = 2x + 2x + 10

⇒ 58  = 4x + 10

⇒ 48  = 4x

⇒ x = 12

Therefore,

width = x = 12 in

length = x + 5 = 12 + 5 = 17 in

Step-by-step explanation:

1/6 (3 - 2x) < 1/3 x

let's multiply everything by 6

3 - 2x < 6/3 x

3 - 2x < 2x

3 < 4x

3/4 < x

so, x > 3/4

since 3/4 is never equal to x but is purely smaller than x, the interval of valid x values starts right after 3/4 and goes to infinity.

x = 3/4 is not valid, because 3/4 is not smaller than 3/4 (it is equal to) ...

Answer:

should definitely be 28.56

Answer:

69%

Step-by-step explanation:

10×10 table, 69 cells are orange. Therefore the fraction 69/100 as a percentage is 69%.

so we know that 40% for the rent payment is for food, and we also know that those 40% are really 200 bucks, so what would it be for the 100%?

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 40 & 200\\ 100& x \end{array} \implies \cfrac{40}{100}=\cfrac{200}{x}\implies \cfrac{2}{5}=\cfrac{200}{x} \\\\\\ 2x=1000\implies x=\cfrac{1000}{2}\implies x=500[/tex]

Answer: 1.1

Step-by-step explanation:

    To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:

1 - 3 = -2 -> |-2| = 2

2 - 3 = -1 -> |-1| = 1

2 - 3 = -1 -> |-1| = 1

3 - 3 = 0

4 - 3 = 1

4 - 3 = 1

5 - 3 = 2

-

[tex]\frac{2+1+1+0+1+1+2}{7}[/tex]

[tex]\frac{8}{7}[/tex]

1.14

      The mean absolute deviation is about 1.1

37.902

Step-by-step explanation:

3.14x12+12

Answer:

x= 3.95

Step-by-step explanation:

Hypotenuse = 9 cm

side = (x+5) cm

other side = (x-3) cm

Pythagoras theorem:          Hypotenuse² = Base² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = (-b±√b²-4ac) / 2a

x = (-4±√16+376) / 2(2)

x = (3.95 and -5.95)

   We ignore the negative  -5.95

So x = 3.95

18 females, 13 males, total: 31 students.

•female french students: 2

•male french students: 5

probability: male french = 5/31,

total students

edit: as a percentage, 16.129 %

The geometric sequence 128,32,8,2 has a common ratio

The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

The geometric sequence is given as:

128,32,8,2

Start by calculating the common ratio (r)

[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

Substitute 2 for n

[tex]r = \frac{a_2}{a_1}[/tex]

Substitute known values

[tex]r = \frac{128}{32}[/tex]

Evaluate the quotient

[tex]r = 4[/tex]

Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]

Cross multiply

[tex]a_n = 4a_{n-1}[/tex]

Hence, the recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

Read more about geometric sequence at:

https://brainly.com/question/24643676

Using the median concept, it is found that the third quartile is of is of $1,052.

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the ordered data-set is:

$379, $498, $619, $777, $895, $1,052, $1,256.

Hence, the median of $777 divides the data-set into two halfs:

Hence, the third quartile, which is the median of the second half, is of $1,052.

More can be learned about the median concept at https://brainly.com/question/25215461

Answer:

becky got 2.4 lands and a quadratic is a possible

Step-by-step explanation:

2times 0.4 = 2.4

Answer:

The answer is 441

Step-by-step explanation:

7 x 63 = 441

Answer:

i think that the correct answer would  A

Step-by-step explanation:

hope this helps

Answer:

none of the fruit are not ripe

Answer:

First pair:       -4 and 8

Second pair: -2 and 6

Third pair:     -1 and 5

Step-by-step explanation:

-4 + 8 = 4

-2 + 6 = 4

-1 + 5 = 4

Hope this helps

Total earnimgs per hour=10$

After deduction

Total earnings

Total hours:-

Approximately 89 hours

Answer: 19

Step-by-step explanation:

As per the model created by Jack; f(x) determines the area and x represents length so f(3) = 9+9+1

Therefore, f(3) = 19

Answer:

(x-8) and (x+3)

Step-by-step explanation:

To find the binomials of the trinomial, we just need to factor in the trinomial.

First,

x² -5x - 24

Then split it, so the terms add to -5 and multiply to -24

x² +3x -8x - 24

Then factor x in the first part, and -8 in the second part.

x(x+3) - 8(x+3)

Factor again

(x-8)(x+3)

Answer:

Step-by-step explanation:

Factorize 24. When we add the factors, we have to get (-5) and we multiply we have to get (-24).

So, the factors are  3 and (-8)

When we add  3 +(-8) = -5  ; we multiply we get (-8)*3 =(-24)

Replace the middle terms with the factors.

x² - 5x - 24 = x² - 8x  + 3x - 24

                  = x(x - 8) + 3(x - 8)

                 = (x - 8)(x+3)

[tex]\left(2+\sqrt{10} \right)\left(2-\sqrt{10} \right)\\\\=2^2-\left(\sqrt{10} \right)^2\\\\=4-10\\\\=-6[/tex]

Step-by-step explanation:

the second one, of course.

a y-intercept is a point where x = 0.

the 2 options are clearly having y-values of -2 and +2.

a) El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos.

b) La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora).

El camión experimenta un movimiento uniformemente acelerado, que ocurre al considerar que su aceleración ([tex]a[/tex]), en metros por segundo al cuadrado, es constante en el tiempo ([tex]t[/tex]), en segundos.

a) El tiempo requerido es determinado por el siguiente polinomio de segundo orden:

[tex]x = v_{o}\cdot t + \frac{1}{2}\cdot a\cdot t^{2}[/tex]   (1)

Donde:

Si sabemos que [tex]x = 500\,m[/tex], [tex]a = 0.8\,\frac{m}{s}[/tex] y [tex]v_{o} = 0\,\frac{m}{s}[/tex], entonces tenemos que el tiempo requerido es:

[tex]0.4\cdot t^{2}-500 = 0[/tex]

[tex]t \approx 35.355\,s[/tex]

El tiempo requerido por el camión para recorrer 0.5 kilómetros es aproximadamente 35.355 segundos. [tex]\blacksquare[/tex]

b) La rapidez final ([tex]v[/tex]), en metros por segundo, se determina con el siguiente polinomio de primer orden:

[tex]v = v_{o} + a\cdot t[/tex]   (2)

Si sabemos que [tex]v_{o} = 0\,\frac{m}{s}[/tex], [tex]a = 0.8\,\frac{m}{s^{2}}[/tex] y [tex]t = 1250\,s[/tex], entonces tenemos que la rapidez final es:

[tex]v = 0 + 0.8\cdot (35.355)[/tex]

[tex]v = 28.284\,\frac{m}{s}[/tex]   [tex]\left(101.822\,\frac{km}{h} \right)[/tex]

La rapidez que llevará el camión en ese tiempo es 28.284 metros por segundo (101.822 kilómetros por hora). [tex]\blacksquare[/tex]

Para aprender más sobre movimiento uniforme, invitamos a ver esta pregunta verificada: https://brainly.com/question/118814

Answer: its A or B I think its more of B than A

The z-score of the number of teens that transfered schools is the standard score

The obtained value of z is 5

The given parameters are:

The z-value is calculated using:

z = (x - μ)/σ

Substitute known values in the above formula

z = (100 - 50)/10

Evaluate the difference

z = 50/10

Evaluate the quotient

z = 5

Hence, the obtained value of z is 5

Read more about z-scores at:

https://brainly.com/question/25638875

Answer:

1456

Step-by-step explanation:

56x2x13

56x26

1456