Ethan stands 256 cm at point C from a lamp post AB. He is 180 cm tall and his shadow from the lamp is 144 cm long. Find the height AB, in metres, of the lamp post.

Answer:

-23

Step-by-step explanation:

-3i(4-2i)?

-61

0-6-12i

-12-6i

An expression that is equivalent to -3i(4 - 2i) is: B. -6 - 12i.

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Note: i² is equal to -1 and i is equal to [tex]\sqrt{-1}[/tex].

By applying the distributive property of multiplication to the given expression, we have:

-3i(4 - 2i) = -3i(4) + 3i(2i)

-3i(4 - 2i) = -12i + 6(-1)

-3i(4 - 2i) = -12i - 6.

-3i(4 - 2i) = -6 - 12i.

Read more on expression here: brainly.com/question/16729936

#SPJ6

Answer:

The answer is 660.4 millimeters in diameter.

Step-by-step explanation:

The wheel is 26 inches in diameter. An inch is 25.4 millimeters. 26 * 25.4 = 660.4

Answer:

Hey there!

Angle x is equal to 148 degrees because it is supplementary with the angle of  32 degrees.

Let me know if this helps :)

Answer:

See below.

Step-by-step explanation:

So, Nikki earns $12 per hour.

And she also earns a 5% or 0.05 commission of her total sales each day.

On Saturday, she worked eight hours and she earned $139. In other words, she earned 8(12) or $96 from working her hours and another $43 (139-96) from her commission.

Thus:

[tex]139=96+0.05x[/tex]

Where x represents Nikki's total sales on Saturday.

Further notes:

To solve, subtract 96 from both sides and divide by 0.05:

[tex]139=96+0.05x\\43=0.05x\\x=\$860[/tex]

Thus, her total sales that day were $860.

Answer:

$5952

Step-by-step explanation:

By the Federal Insurance Contributions Act which is a U.S. payroll tax meant to fund Medicare and Social Security, the FICA tax is shared among the employer and the employee whereby the employers share is 7.65% of the employees gross income and the employees share is also 7.65% of their gross income with 6.2% being for social security and 1.45% being for Medicare.

Louise Gaines, therefore will have 6.2% of $96,000 or  $96,000 × 0.062 = $5952 withheld for the period.

Answer:

u = [tex]-\frac{1}{2}[/tex]   ;  u = [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

4u² + 3 = -8u

4u² + 3 + 8u = -8u + 8u       (add 8u both sides)

4u² + 8u + 3 = 0                    simplify

using quadratic equation:

      - 8 ± √ (8² - 4 * 4 *3)

u = ------------------------------

               2 * 4

u = [tex]-\frac{1}{2}[/tex]   ;  u = [tex]-\frac{3}{2}[/tex]

Answer:

f ( x ) = 5x - 5 is not a quadratic function.

The degree of the equation f(x) = 5x – 5 is one, then it is not a quadratic equation. Then the correct option is B.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2. Then we have

If the degree of the equation is not 2, then the function is not a quadratic.

f(x) = 5x – 5, the degree of the equation is one, then it is not a quadratic equation.

Then the correct option is B.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

#SPJ2

Answer:

You can buy 8.18 gallons of milk.

Step-by-step explanation:

12.79/4.89 = 2.62

21.44/2.62 = 8.18

Answer:

it will also be 29°

Step-by-step explanation:

LDAB will be also 29° cuz D is the bisector and at the top the two lines resembles that. So if CAD is 29° then DAB will be also 29°

I hope so it will help ✨

The angle ∠DAB will be equal to 29 degrees.

The line or line segment that divides an angle into two equal halves is known as the internal angle bisector or (interior) bisector. An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively.

Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

Given that in triangle ABC the angle ∠CAD is 29°. Then the angle will be calculated as below:-

The line AD is an angle bisector at point A of the triangle. Then the two angles ∠CAD and ∠DAB will be equal to each other.

∠CAD = ∠DAB

∠CAD = 29°

Therefore, the angle ∠DAB will be equal to 29 degrees.

To know more about an angle bisector follow

https://brainly.com/question/5799105

#SPJ6

Answer:

x= -9.5

Step-by-step explanation:

We want to find out what the variable, x, is equal to. Therefore, we must isolate the variable on one side of the equation.

-4.75 = x/2

x is being divided by 2. The inverse of division is multiplication. Multiply both sides of the equation by 2.

2*(-4.75) = (x/2)*2

2*(-4.75)=x

2* -4.75=x

Multiply 2 and -4.75

-9.5=x

Let's check our solution. Plug -9.5 back in for x and solve.

-4.75= x/2

-4.75= -9.5/2

-4.75= -4.75

This checks out, so we know our solution is correct.

x is equal to -9.5

Answer:

[tex]x = \frac{19}{2} [/tex]

Step-by-step explanation:

[tex] \frac{x}{2} = - 4.75[/tex]

First convert the decimal to an improper fraction

That's

[tex] - 4.75 = - \frac{19}{4} [/tex]

So we have

[tex] \frac{x}{2} = - \frac{19}{4} [/tex]

Cross multiply

4x = - 38

Divide both sides by 4

We have the final answer as

[tex]x = \frac{19}{2} [/tex]

Hope this helps you

Answer:

quadrant 1

Step-by-step explanation:

both of them are positive

Answer:

Quadrant I

Step-by-step explanation:

Since x is greater than zero and y is greater than zero, that means the point (x, y) is to the right and above the origin.  Hence, the first quadrant.

Cheers.

Answer:

0+10i

Step-by-step explanation:

First, the square root of 100 is 10 because 10*10 is 100.

i=-1

Therefore, to get rid of the minus, it would be 10i

Since there is nothing else to solve,

the answer is 0+10i

Answer:

m+22-22=30-22

m=8

7/7 y=28/7

y=4

12-12+3p=-3-12

3p=-15

3/3 p=-15/3

p=-5

Answer:

The points are collinear if the slope of any two pair of points is the same. Many infinite planes pass through that line. Thus, there are infinite planes contain the same three collinear plane.

Answer:

infinitely many

Step-by-step explanation:

well if you think about it in a 3D plane

we can make to planes intercept at a line

and we can make another plane that another plane interceptes the other to planes in the same line

and another

and another

...

so we can have three points in the line (collinear) that the planes intercept and we are done

Answer:

50%

Step-by-step explanation:

Given that Eighty percent ( 80%) of adults drink coffee and seventy ( 70%) percent drink tea.

Let the percent of the adults that drink coffee and tea be y

The total percentage of adults = 100

80 - y + y + 70 - y = 100

150 - y = 100

- y = 100 - 150

Y = 50.

Therefore, the smallest possible percent of adults who drink both coffee and tea is 50 %

A Simpler Answer:

Add together the probabilities.

80%+70%=150%

Therefore we overcounted 50 percent, so the least amount possible is [tex]\boxed{50\%}[/tex]

Answer:

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Step-by-step explanation:

Given that :

Coordinate of point A = - 7, - 3

Number of points between point A and B = 12

Possible coordinate of point B

Possible coordinates of point B:

(-7, - 3) + 12 = (5, 9)

(-7, - 3) - 12 = (-19, - 15)

(-7, - 3) = (-7 +12, -3 - 12) = (5, - 15)

(-7, - 3) = (-7 - 12, - 3 + 12) = (-19, 9)

Hence possible coordinates of be are :

(5,9)

(-19, - 15)

(5, - 15)

(-19, 9)

Answer:

Following are the relevant factors about cross-cultural research

Step-by-step explanation:

The Cross-cultural also known as the Intercultural studies, it involves work performed across various geographical regions improving student with different cultural backgrounds. While there are several similarities in certain human emotions, feelings, and behavior patterns, delicate differentiation is motivated by religion, political ideology, culture, etc.

Answer: x - 2 + 5 = x - 12

Step-by-step explanation:

At first I was confused. Then I read the question again and translated it.

Less than translated means - 2.

A number, aka X.

and means plus(+).

when you put that together you get,

x - 2 + 5.

The next step is to translate to second part of the equation.

Is means equals(=).

So far we have: X - 2 + 5 = 12.

This is where I got confused...

After solving that peice, we have the words; " 12 less than the number it's self. I wasn't sure if 2 x's could be in the same equation. Now I know they can.

Above, we established that 'a number' is x.

Now, it's talking about that number again because it says; "The number itself." At first, I thought it was talking about 12 - 12! Then I realized that it's not.

The new equation, after understanding that in the second piece isn't 12 - 12, would be none other than,

x - 2 + 5 = 12 - x

I hope this helps!!

Answer:

Step-by-step explanation:

Twelve less than the one-fifth of a number is-7

━━━━━━━☆☆━━━━━━━

▹ Answer

(-2/3, 10/3)

▹ Step-by-Step Explanation

2|4 - 3x| - 2 < 10

2|-3x + 4| - 2 < 10

2|-3x + 4| < 12

= (-2/3, 10/3)

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

x≥3

Step-by-step explanation:

Treat the ≥ symbol like it is an equals sign. First, subtract 14x from each side to get 6x+12≥30. Then, Subtract 12 from each side to get 6x≥18. I will let you solve the rest :)

Answer:

[tex]\huge\boxed{C.\ x\geq3}[/tex]

Step-by-step explanation:

[tex]20x+12\geq14x+30\qquad\text{subtract 12 from both sides}\\\\20x+12-12\geq14x+30-12\\\\20x\geq14x+18\qquad\text{subtract}\ 14x\ \text{from both sides}\\\\20x-14x\geq14x-14x+18\\\\6x\geq18\qquad\text{divide both sides by 6}\\\\\dfrac{6x}{6}\geq\dfrac{18}{6}\\\\\boxed{x\geq3}[/tex]

Answer:

4 is the answer

Step-by-step explanation:

Answer:

hey

√18 = 4.242

Step-by-step explanation:

rounded = 4

Answer:

Sum= -12

Product=32

Step-by-step explanation:

[tex]x^2+12x+32=0[/tex]

By factorization, we get

[tex]x^2+4x+8x+32=0\\x(x+4)+8(x+4)=0\\(x+4)(x+8)=0\\[/tex]

Therefore, the roots of the equation are = -4,-8

Sum of the roots =[tex]\alpha+\beta =\frac{-b}{a}[/tex]

[tex]\alpha +\beta[/tex]=[tex]-8-4=-12[/tex]

Product of the roots=[tex]\alpha \beta =\frac{c}{a}[/tex]

[tex]\alpha \beta =8*4=32[/tex]

Answer:

A) 30°

Step-by-step explanation:

Sum of three angles of a triangle = 180°

75° +75° + ∠WYZ = 180°

Add like terms

150° + ∠WYZ  = 180°

Subtract 150°from both sides

∠WYZ = 180 - 150

∠WYZ = 30°

Answer:

[tex]21y^{2} +4y-1[/tex]

Step-by-step explanation:

Hello!

[tex](12y^{2} +17y-4)+(9y^{2} -13y+3)[/tex]

For this, we can combine like terms

[tex]12y^{2} +9y^{2}=21y^{2}[/tex]

17y - 13y = 4y

-4 + 3 = -1

Combine the answers and we get

[tex]21y^{2} +4y-1[/tex]

Hope this Helps!

Answer:

21y² + 4y -1

Step-by-step explanation:

(12y² + 17y - 4) + (9y² - 13y + 3)  ---- remove parentheses

= 12y² + 17y - 4y + 9y² - 13y + 3

= 12y² + 9y² + 17y - 13y - 4 + 3  -----grouped like terms

= 21y² + 17y - 13y - 4 + 3

= 21y² + 4y - 4 + 3

= 21y² + 4y - 1

Answer: Hi!

4.89 * 2.2 = 10.758 (rounded is 10.76 or 10.8)

Tip: Line up the terms vertically and multiply.

Hope this helps!

Answer: B Their slopes are equal.

Step-by-step explanation:

Two line segments are parallel if and only if their slopes are equal.

Option B is the correct answer.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Two line segments are parallel if and only if their slopes are equal.

If the slopes of two lines are equal, then they have the same steepness and will never intersect.

However, if the slopes are different, the lines will intersect at some point, and they will not be parallel.

Thus,

Two line segments are parallel if and only if their slopes are equal.

Learn more about equation of a line here:

https://brainly.com/question/23087740

#SPJ7

Answer:

The z-score of a bag containing 178 peanuts is -2.03.

Step-by-step explanation:

A z-score is a normally distributed value with mean 0 and standard deviation 1. The distribution of these z-scores is known as the standard normal distribution.

The formula to compute z-score is:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

The information provided is:

x = 178

μ = 184.7

σ = 3.3

Compute the z-score of a bag containing 178 peanuts as follows:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

  [tex]=\frac{178-184.7}{3.3}\\\\=-2.03[/tex]

Thus, the z-score of a bag containing 178 peanuts is -2.03.