What is the quotient of the complex numbers below?
(5-5i) = (3-i)

Answer:

B. A sans serif font in size 30-point

Step-by-step explanation:

18, 10 and 10 are too small therefore 30 would be the correct font size.

The best type of front to use in a slide presentation is a sans serif font in size 30-point. That is option B.

A slide presentation is a type of presentation that involves the use of typed pages or pictures that contains information which are displayed in a screen.

The best type of font used in a slide presentation goes to the sans serif font with a size of 30 point. This is because, they lack the edge strokes and they are easy to read.

Therefore, the best type of front to use in a slide presentation is a sans serif font in size 30-point.

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Final answer:

Similar triangles can be used to solve real-world problems by applying the concept of proportionality. By comparing corresponding sides of similar triangles, you can find the unknown measurements.

Explanation:

Similar triangles can be used to solve real-world problems by applying the concept of proportionality. In a pair of similar triangles, corresponding sides are in proportion to each other. This means that if you know the measurements of one triangle, you can use the ratios of corresponding sides to find the measurements of the other triangle.

For example, if you have a 10-meter tall tree and its shadow is 5 meters long, and you want to determine the height of a nearby building using the shadow it casts, you can set up a proportion using the tree's height and shadow length as one ratio and the building's height and its shadow length as the other ratio. By solving this proportion, you can find the height of the building.

Similar triangles can be used to solve various real-world problems involving measurements such as distances, heights, widths, and more. By identifying corresponding sides and setting up ratios, you can find the unknown measurements.

Answer:

The least number is - 5 3/7.

Then in order we have - 4 5/6.

- 4 3/7

4 2/7

And the greatest is 5 1/7.

Step-by-step explanation:

1. Let's look for the least number of this set and then continue to order them until we find the greatest, this way:

The least number is - 5 3/7 because is the biggest negative number among the three given to us.

The second least number is - 4 5/6, that is < - 5 3/7 and > than - 4 3/7. Their whole number is the same but the fraction part is bigger: 5/6 > 3/7 or 0.83 > 0.42.

The third number is the only negative number remaining: - 4 3/7.

Now, the fourth term in order is 4 2/7, because it's < 5 1/7.

Finally, the greatest number of the set given to us is 5 1/7.

Answer:

8:29 AM

Step-by-step explanation:

The plane will arrive in California at 10:89 or 11:29 AM (eastern time) .From the eastern time period to the pacific time period, the time will decrease by 3 hours. 11:29 AM -3 hours is 8:29 AM. So when the plane arrives in California, the time should be 8:29 AM Pacific time.

Answer:

$81.60

Step-by-step explanation:

A 20% markdown means that the chairs were sold at 80% of the original cost.

Original cost = $102

markdown = 20%

Cost after markdown = original cost* (1-markdown)

Cost after markdown = 102 *(1 - 0.20)

= 102*0.80

= 81.6

Therefore, the 4 chairs were sold at a total cost of $81.60

good evening ,

Answer:

The right answer is the first one

Step-by-step explanation:

Area = length × width

m = (1/5)×(2/3).

:)

Answer: [tex]1,579,940,000\ inches[/tex]

Step-by-step explanation:

Let be "x" the  Equatorial circumference of Earth in inches.

Based on the data given in the exercise, you know that the equatorial circumference of Earth is [tex]4.01 * 10^4\ kilometers[/tex].

You also know that:

[tex]1\ kilometer=3.94* 10^4\ inches.[/tex]

 Then, you can set up the following proportion:

[tex]\frac{3.94*10^4\ inches}{1\ kilometer}=\frac{x}{4.01 * 10^4\ kilometers}[/tex]

Finally, you must solve for "x" in order to find its value.

Applying this procedure you get the following result:

[tex](4.01 * 10^4\ kilometers)(\frac{3.94*10^4\ inches}{1\ kilometer})=x\\\\x=1,579,940,000\ inches[/tex]

The equatorial circumference of Earth in inches is found by multiplying the given circumference in kilometers by the conversion from kilometers to inches.

The equatorial circumference of Earth is stated to be  [tex]4.01 \times 10^4[/tex] kilometers. We also have the conversion factor that 1 kilometer is equivalent to [tex]3.94 \times 10^4[/tex]inches. We can find the equatorial circumference of Earth in inches by multiplying the circumference in kilometers by the conversion factor.

So, the calculation becomes:  [tex]4.01 \times 10^4 km \times 3.94 \times 10^4 inches/km.[/tex] The kilometers cancel out and the result will be in inches. This type of conversion is a common task in mathematics and physics where we often have to switch between units of measurement.

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Answer:

First one is D.

Second one is A.

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

A bump is 180 degrees as well as a triangle. So 90+20=110 and 180-110=70. Meaning 180-70 =110

Answer:

110

Step-by-step explanation:

Solve for the angle in the triangle

solve for the "?"

Hey there! :)

-3(5a - 5) + 6a = 31 - 5a

Simplify! -15a + 15 + 6a = 31 - 5a

We must get all variables to one side and everything else to the other so that we can add like terms, so we can start by subtracting 15 from both sides. Additionally, add 5a to both sides.

-15a + 6a + 5a = 31 - 15

Simplify.-4a = 16

Divide both sides by -4.

-4a ÷ -4 = 16 ÷ -4

Simplify.

a = -4

~Hope this helped! :)

Answer:

[tex]a = 4[/tex]

Step-by-step explanation:

[tex] - 3(5a - 5) + 6a = 31 - 5a[/tex]

Solve the brackets.

[tex] - 15a + 15 + 6a = 31 - 5a[/tex]

Combine like terms.

[tex]-9a + 15 = 31 - 5a[/tex]

Take -5a to left side and 15 to the right.

[tex]-9a + 5a = 31 - 15[/tex]

Combine like terms.

[tex]-4a = 16[/tex]

Divide both sides by -4.

[tex]a = -4[/tex]

Answer:

693 sq. m.

Step-by-step explanation:

The figure consists of a triangular prism (Bottom Part) and a Triangular Pyramid (Top Part). We will find the volume of each and add it up to get volume of total figure.

1. Volume of Triangular Prism = Area of Triangular Base * Height

Area of Triangular Base = (1/2)*base*height

Given that the triangle is a right triangle, we find the unknown side by using Pythagorean Theorem, which tells us:

Leg^2 + Another Leg^2 = Hypotenuse^2

8.8^2 + Another Leg^2 = 13.7^2

77.44+ Another Leg^2 = 187.69

Another Leg (unknown side, or the base of the triangle) = Sqrt(187.69-77.44) = 10.5 (this is base of triangle)

So, we have:

Area of Triangular Base = [tex]\frac{1}{2}*10.5*8.8=46.2[/tex]

Thus,

Volume of Triangular Prism = 46.2 * 10(given) = 462 sq.m.

2. Volume of Triangular Pyramid = (1/3) * area of triangular base * height

Here, area of triangular pyramid is 46.2 (already found)

the height of the pyramid is 25 - 10 = 15

SO, we have:

Volume of Triangular Pyramid = [tex]\frac{1}{3}*46.2*15=231[/tex] sq. m.

Now we sum them up and get total volume of the figure:

Total Volume of Figure = 462+ 231 = 693 sq. m.

Answer:

Uncle Ginos sold 250 pizzas last week

Answer:

A) y^3+27

Step-by-step explanation:

(y+3)(y^2-3y+9)

y^3-3y^2+9y+3y^2-9y+27

y^3+27

The product of the polynomial is A = y³ + 27

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

To find the product of (y+3)(y^2 - 3y + 9), we can use the distributive property of multiplication:

(y+3)(y² - 3y + 9) = y(y² - 3y + 9) + 3(y² - 3y + 9)

Now we can simplify each term:

y(y² - 3y + 9) = y³ - 3y² + 9y

3(y² - 3y + 9) = 3y² - 9y + 27

Adding these two simplified polynomial terms, we get:

(y+3)(y² - 3y + 9) = y³ - 3y² + 9y + 3y² - 9y + 27

Simplifying further, we get:

(y+3)(y² - 3y + 9) = y³ + 27

Hence , the product is A = y³ + 27

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Answer:

0,12 grams

Step-by-step explanation:

0,96:8=0,12

Each serving will contain 0.12 grams of sodium.

In order to find out how many grams of sodium each serving contains in the bag of potato chips, we can divide the total amount of sodium in the bag by the number of servings. Given that the bag contains 0.96 grams of sodium and is split into 8 equal servings, we can divide 0.96 by 8 to find the sodium content per serving.

Step 1: Divide 0.96 by 8: 0.96 ÷ 8 = 0.12

Step 2: Each serving will contain 0.12 grams of sodium.

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Answer:

2 is a co-efficient to the variable, x. 4 is a constant.

Step-by-step explanation:

Don't know exactly what you're asking here.

Answer:

- 5/6 is the answer

Step-by-step explanation:

The number which when multiplied by 1/2 is -5/12 is -5/6

Let

The unknown number = x

So,

x × 1/2 = -5/12

1/2x = -5/12

Divide both sides 1/2

x = -5/12 ÷ 1/2

= -5/12 × 2/1

= -10 / 12

= -5/6

Hence, -5/6 id the number need-

-5/6

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Answer:

10 cm

Step-by-step explanation:

if he knits 2cm per hour we can times it by 3 hours and get 6cm then he already had 4cm done so we will need to add that to it and get 10cm

Answer:

a.3/4 b.2/3

Step-by-step explanation:

Answer:

a) 3/4

b) 2/3

Step-by-step explanation:

a)    15    ÷    5           3

     _________ =  ____

      20   ÷    5           4

b)     8     ÷    4           2

      _________ =  ____

       12    ÷    4           3  

Hope this helps OwO!

Answer:

84 pumpkins; less than she expected

Step-by-step explanation:

Find 20% of 100 and add the percent to 100. That is 120.Then find 30% of 120, which is 36. Then do 100-36 to get 84 pumpkins. That is less than 100 so she got less than she hoped.

The final number of pumpkins less than she ​hoped is 84 pumpkins.

A percentage is a number or ratio expressed as a fraction of 100.

A percentage is a dimensionless number, it has no unit of measurement.

Brianna hoped to get = 100 pumpkins

percentage of increased yield = 20%

∴ number of pumpkins = 100*20/100

                                      = 20 pumpkins more.

      total pumpkins yield = 100 + 20 = 120.

percentage of pumpkins animals eat = 30%

          ∴ number of pumpkins = 120*30/100

                                      = 36 pumpkins more.

total number of pumpkins she left = 120 - 36

                                                       = 84.  answer.

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Answer:

The number of trees in each row is  21.

Step-by-step explanation:

Let us assume the number of trees in each row  = m

So, the number of rows in the orchard = Number of trees in each row + 10

or, total number of trees in each row = (10 +m)

Now, Total number of Trees = Number of Rows x Number of trees in 1 row

⇒ 651  = m (m + 10)

[tex]651 = m^2 + 10m\\\implies  m^2 + 10m - 651 =0\\or,   m^2 + 31m  21m - 651 =0\\or, m(m +31) -21(m+31) =0\\\implies (m +31) (m-21) = 0[/tex]

⇒ (m +31) = 0, or (m-21) = 0

⇒ m= -31, or m = 21

Now, as m = The number of trees in each row, so m ≠ -31

So, m =  21

Hence, the number of trees in each row is m = 21.

Answer:

21x - 16y

Step-by-step explanation:

First you need to multiply 5 with the numbers inside the brackets ( -5 x 4y= -20y and -5 x -3x = 15x ) so you will get 6x - 20y + 15x + 4y now you just add 15x plus 6x to get 21x and add 4y to -20y to get -16y so your answer should look like 21x - 16y.

Hope this helps!

Answer:21/7

Step-by-step explanation:

The main fact that helps you solve 2,100 ÷ 7 is understanding that division is splitting into equal parts. Doing this with 2,100 split into 7 gives you a result of 300.

The fact that's most helpful in finding the result of 2,100 ÷ 7 is understanding the basic operation of division. Division is splitting into equal parts or groups. It is the result of 'fair sharing'. So, if you have 2,100 and you divide it into 7 equal groups, how much is in each group? We do this by taking 2,100 and divvying it up 7 times. The result will be 300. So, 2,100 ÷ 7 = 300.

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Answer:

C

Step-by-step explanation:

D=m/v

Rearranging the formula

v=m/D

V=1000/13.56

V=73.69 cm3

Answer:

v = 73.69 cm²

Step-by-step explanation:

V = m/p

Where,

v is volume

m is mass

p is density

So,

v = 1000 / 13.57

v = 73.69 cm²

I believe that this maybe a wrong answer because 1000 kg is suppose to be converted to g but since the answer (which is 73692 cm³) would not meet any of the options, I would have to go for that answer.

Answer:

4

Step-by-step explanation:

x-y

14-8=6

so x is 6 more than y

y+6=x

y= -2. -2 + 6 = 4

Answer:4

Step-by-step explanation:

i don’t know

Answer:

When adding two integers with the same sign, keep the sign and add the absolute value of each number

Step-by-step explanation:

Answer:

keep the sign and add each number

Step-by-step explanation:

f(x) + c -> up by c

f(x) - c -> down by c

f(x + c) -> left by c

f(x - c) -> right by c

For y = f(x + c), the y value of x now takes the y value of the function of x + c, or the one c to the right of x, shifting the entire graph left by c.

The function y=f(x+c) signifies a horizontal shift of the graph y=f(x). The graph shifts left if 'c' is positive and right if 'c' is negative.

In mathematics, y=f(x+c) represents a transformation of the graph y=f(x). Specifically, the addition of the constant 'c' in the function results in a horizontal shift of the graph. If 'c' is positive, then the graph moves to the left by 'c' units. If 'c' is negative, then the graph moves to the right by 'c' units.

Let's look at an example to illustrate this. Consider the function y = f(x) where f(x) = x^2, the graph is a parabola centered on the origin (0,0). If we transform this function into y = f(x+c), where c = 2, the resulting graph y = (x+2)^2 would be a parabola shifted 2 units to the left of the origin.

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Answer:

9y - 0.2xy is the answer after applying Distributive property.

Step-by-step explanation:

Given:

[tex]y(9-0.2x)[/tex]

To Find:

Expression after applying Distributive property.

Solution:

Distributive property:

In Distributive property, it lets you multiply a sum by multiplying each addend separately and then add the products.

OK, that definition is not really helpful for most people. It is easier to understand the meaning if you look at the examples below.

i.e A (B + C) = A×B + A×C

On Applying Distributive property to the given expression we get,

[tex]y(9-0.2x)=y\times 9-y\times0.2\times x\\y(9-0.2x)=9y-0.2\times x\times y[/tex]

[tex]\therefore y(9-0.2x)=9y-0.2xy \ \ \ \textrm{we can write xy or yx it same as 2*3 = 3*2 = 6}[/tex]

9y - 0.2xy

is the answer after applying Distributive property.

The expression y(9-0.2x) expands to 9y - 0.2xy using the distributive property, where y is multiplied by each term inside the parentheses.

To expand the expression y(9-0.2x) using the distributive property, you multiply y by each term inside the parentheses. Applying the distributive property, we get:

y × 9 - y × 0.2x

Which simplifies to:

9y - 0.2xy

This is the expanded form of the given expression.

Answer: 13

Step-by-step explanation:

13x2=26 and since you cant have a half sketch pad he can only have 13.

Fred can buy 13 sketch pads with his $27, as each pad costs $2 and after dividing $27 by $2, the result is 13.5, which rounds down to 13 because he cannot purchase half a sketch pad.

Fred has $27 to buy sketch paper, and each sketch pad costs $2. To find out how many sketch pads he can buy, we divide the total amount of money Fred has by the cost of each sketch pad.

So, we calculate this by performing the division:

Number of sketch pads = Total money / Cost of each sketch pad

Number of sketch pads = $27 / $2 = 13.5

Since Fred cannot buy half a sketch pad, we'll round down to the nearest whole number, which means Fred can buy 13 sketch pads with the money he has.