The area of this trapezium is 48cm2.
Work out .
5cm
5cm
4cm
X

Answer:

he's at work for 9 hours 55minutes

Carlos works for 8 hours and 55 minutes.

Given that, Carlos starts work at 21:20 and finishes at 06:15 the next day.

A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.

The 24-hour clock is more often shown on digital clocks and is written in a 4-digit form, with the first two digits representing the hour and the last two representing the minutes.

From 21:20 to 06:15 there are 8 hours and 55 minutes.

Therefore, Carlos works for 8 hours and 55 minutes.

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Answer:

4 units

Step-by-step explanation:

A triangle has vertices on the coordinate grid at points D (3, -3), E (0, 2), and F (-1, -3). What is the length, in units, of DF ?

A triangle is a polygon with three sides and three angles.

The distance between two points [tex](x_1,y_1)\ and\ (x_2,y_2)[/tex] on the coordinate plane is given by:

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Given A triangle with vertices at points D (3, -3), E (0, 2), and F (-1, -3). The length of side DF is given as:

[tex]DF=\sqrt{(-1-3)^2+(-3-(-3))^2}=4\ units[/tex]

Answer:

x = 15[tex]\sqrt{3}[/tex]

Step-by-step explanation:

tan60 = x / 15 = [tex]\sqrt{3}[/tex] so x = 15[tex]\sqrt{3}[/tex]

this is my answer but you need to check with your teacher

Answer:

Angle:

Find x

Angle

Find y

Angle:

Find n:

Angle addition postulate

Angle

Find x:

Angle

Find n:

Answer:

1,215 i think please be right

Answer:

262 square feet

Step-by-step explanation:

The required expression model for the cost of the ramp is y = 2.20x.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Let the area of the ramp be x and the cost to build the ramp be y,

According to the question,
The material Santiago will use to build the ramp costs $2.20 per square foot.

Total cost = 2.20 × area of the ramp

Substitute the variable in the above expression,

y = 2.20x

The above equation represents the equation model for the cost of ramp y for the x square foot area of the ramp.

Thus, the required expression model for the cost of the ramp is y = 2.20x.

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Answer:

The equations which have only one solution is: 5x²+20x+20=0,

Step-by-step explanation:

Answer:

5x^2 + 20x + 20 = 0

12+ 6x +9= 0​

Step-by-step explanation:

5x^2 + 20x + 20 = 0  /5             12 + 6x + 9 = 0        

x^2 + 4x + 4 = 0                          6x = -9-12

(x+2)^2=0                                    6x = -21

x + 2 = 0                                      x = -21/6

x=-2                                             x = -3.5

Answer:

10 15 75

Step-by-step explanation:

Answer:

-8/5 = -1.6

-5/8 = -0.625

-1/2 = --0.5

Step-by-step explanation:

The number that is less then -0.625 is -8/5 which is -1.6

Answer:

the probability of getting exactly 2 fours is 0.16

Step-by-step explanation:

The probability of obtaining a number that is four = ¹/₆

The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆

The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways

If the die is tossed five times, the probability of the events is calculated as;

P = 10 x (¹/₆)² x (⁵/₆)³

P = 10 x (¹/₃₆) x  (¹²⁵/₂₁₆)

P = 10 x 0.02778 x 0.5787

P = 0.16

Therefore, the probability of getting exactly 2 fours is 0.16

The probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is [tex]0.1608[/tex].

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are to happen, using it.

Let [tex]X[/tex] be the number of fours in [tex]5[/tex] coin tosses.

We have no. of tosses [tex]n=5[/tex].

Probability of a success i.e., getting four [tex](p)=\frac{1}{6}[/tex] and probability of not getting a four [tex](q)=\frac{5}{6}[/tex].

[tex]X[/tex] follows a binomial distribution. So,

[tex]P(X=x)=\binom{n}{x}p^{x}q^{n-x}[/tex]

[tex]\therefore[/tex] the probability of exactly [tex]2[/tex] four's in [tex]5[/tex] tosses is given by,

[tex]P(X=2)=\binom{5}{2}\left ( \frac{1}{6}^{2} \right )\left ( \frac{5}{6} \right )^{3}[/tex]

               [tex]=0.1608[/tex]

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Answer:

it ia a because i did that on edginuity

Answer:

25%

Step-by-step explanation:

Paso 1

Calcula la cantidad del contenedor que no estaba ocupado.

Esto se calcula como

Tamaño del recipiente: cantidad de líquido en el recipiente

= 120 lt - 90lt

= 30 litros

Paso 2

El porcentaje de la capacidad del tanque que está desocupado se calcula como:

= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100

= 30lt / 120lt × 100

= 25%

Answer:

The price of the sweater was reduced by 40%.

Answer:

2x>14  

2x÷2>14÷2

X>14÷2

X>7  or X€(7,∞)

Step-by-step explanation:

step 1- divide both sides of the by 2

step 2- any expression divided by itself is 1

Answer:

∠ A = 48°

Step-by-step explanation:

Supplementary angles are those angles that measure up to 180 degrees.

∠A and ∠B are supplementary angles. If m ∠ A = ( 4 x − 16 ) ∘ and m ∠ B = ( 8 x + 4 ) ∘,then find the measure of ∠ A

Step 1

∠A + ∠B = 180°

(4x−16)° + (8x+4)° = 180

4x - 16 + 8x + 4 = 180

12x -12 = 180

12x = 180 + 12

12x = 192

x = 192/12

x = 16

Step 2

To find the measure of ∠ A

∠ A = 4x - 16

= 4 × 16 - 16

= 64 - 16

= 48°

Therefore,

∠ A = 48°

Answer:

Total=600+70(x)

The average cost of the phone is C(x) = (600 + 70x)/x.

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

Given that,

The fixed price of the cellphone is $600.

And, the monthly plan is $70.

Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.

As per the question the average cost can be written as,

C(x) = (600 + 70x)/x

Where x is the number of months.

Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.

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Answer:

1. d.9

2.

3.

Step-by-step explanation:

that is the only one I know sorry

Answer: -37/38

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

4-5= -1

13-18+2= (-5+2)= -3

-1-(-3)=2

Don't forget your order of operations

P (parenthesis)

E (exponents)

MD (multiplication/division)

AS (addition/subtraction)

Answer:

2

Step-by-step explanation:

use pemdas (parenthesis, exponents, multiplication, division, addition, and subtraction) to solve:

first: 4-5 = -1

second: 13-18+2 = -3

third: (-1) - (-3) = 2

Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.

Answer:

[tex]22x^{2} y - 55xy^{2} = 11xy*(2x-5y)[/tex]

Answer:

6abc

Step-by-step explanation:

In this equation, one is given both variables and constant. One can only combine like terms; variables of the same parameter with other variables of the same parameter, or constant with constants. In this situation, three different variables are given, but two constants are given. One can combine the constant, but one must leave the variables as they are. Thus:

3 * b * 2 * ac

= 3 * 2 * b * ac

= 6abc

Answer:

17

Step-by-step explanation:

a²+b²=c²

(15x15)+(8x8) = c²

225+64 = c²

√c = 17

Answer:

Step-by-step explanation:

base = 784 sq in²  28 in tall pyramid

each side of the square base = √784   also equals 28

using the Pythagorean theorem the length of each side of the pyramid from the base to the point is

(side/2)² + height² =( length of the pyramid face)²

(28/2)² + 28²  = 196 + 784  = 980 =  (face length)²

face length = √980    =  31.3

area of the pyramid = 4 sides × area of each face + the area of the base

    =   4×[(1/2)(base)(face length)] + side²

    =   4(1/2)(28)(31.3) + 784

    =   2537 sq in²     Not in the solution set

Step-by-step explanation:

20−5y+2x

20-5(-2)+2(5)

20+10+10=40

Answer:

20 − ( 5 ) ( −2 ) + ( 2 ) ( 5 )

= 20 − ( −10 ) + ( 2 ) ( 5 )

= 30 + ( 2 ) ( 5 )

= 30 + 10

= 40

Hope it helps

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Thank you

Answer:

x=3

Step-by-step explanation:

Answer:

3 or -3

Step-by-step explanation:

|x| - 8 = -5

|x| = 3

The absolute value of x = 3, -3

Answer:

∠ AOB = 139°

Step-by-step explanation:

Since AOC is a straight line then

∠ AOB + ∠BOC = 180° , that is

8x + 51 + 6x - 25 = 180

14x + 26 = 180 ( subtract 26 from both sides )

14x = 154 ( divide both sides by 14 )

x = 11

Then

∠ AOB = 8x + 51 = 8(11) + 51 = 88 + 51 = 139°

2x=17+5

2x=22

x=11

Hope this is right!

Answer:

x=11

Step-by-step explanation:

2x-5=17

+5

2x=22

/2

x=11