x = ___ units

**Answer:**

[tex] RT = \frac{ \sin(60 \degree) }{ \sqrt{3} } \\ RT = 0.5 \\ x = RT \tan(45 \degree) \\ x = 0.5 \times \tan(45 \degree) \\ x = 0.5 \: units[/tex]

**Answer:**

the first angle is 180 - (90 + 60) = 30

second angle is 180 - (45 + 90) = 45

30 + 45 = 75

3\/- 75 = 4.217163327 units

The black trapezoid is a dilation of the green trapezoid. What is the scale factor of the dilation?

A) 1/5

B) 1/3

C) 3

D) 5

The dilation is by 1/5

============================================================

Explanation:

We're told that "The black trapezoid is a dilation of the green trapezoid". This means the black trapezoid is the image, while the green one is the preimage. In other words, the green is the "before" and the black is the "after". The mapping is [tex]\text{green} \to \text{black}[/tex] because of the ordering [tex]\text{preimage} \to \text{image}[/tex]

Since the green figure (preimage) is larger than the black figure (image), the scale factor must be some value k such that 0 < k < 1. That narrows the answer choices between A and B.

Focus on the green trapezoid. The bottom left corner is at (-10,0). The bottom right corner is at (5,0). The distance between these two points is 15 units.

Using the same idea, the distance along the bottom edge of the black trapezoid is 3 units. We can count out the spaces along the bottom, or we can note the two bottom corners are at (-2,0) and (1,0).

------------------------------

So far we found:

The bottom edge of the green trapezoid is 15 unitsThe bottom edge of the black trapezoid is 3 unitsThese two edges correspond to one another. We divide the values to get the scale factor. We divide the image length over its corresponding preimage length.

scale factor = (image length)/(preimage length)

scale factor = 3/15

**scale factor = 1/5**

Please help me quick please solve in inequality form

**Answer:**

D

**Step-by-step explanation:**

Please help this is a test and I don’t know what to do.

**Answer:**

u need to breath and calm down

**Step-by-step explanation:**

breath in and out for 5 sec u will feel better

Josephine has a glass pitcher in the shape of a rectangular prism. The pitcher dimensions are 5 inches long, 5 inches wide and 7 inches high. She fills 3 inches of the pitcher with sugar. How many cubic inches are left in her pitcher for lemonade?

**Answer:**

100 cubic inches

**Step-by-step explanation:**

If she fills 3 inches of the pitcher with sugar, the **height will be reduced from 7 inches to 4.**

**Find how many cubic inches are left for lemonade by finding the volume**

**Use the volume formula, V = lwh**

V = lwh

V = (5)(5)(4)

V = 100

So, there are **100 cubic inches** left for lemonade

Can someone help me slove this ?

**Answer:**

x<-1

**Step-by-step explanation:**

I think and hope it helps

Here's a recipe for pancakes:

250ml milk

120g flour

60 g butter

Grace makes some pancakes using 480g flour. How much butter does she need? How muck milk does she need?

**Answer:**

Milk: 1000 ml

Flour: 480 g

Butter: 250 g

**Step-by-step explanation:**

To calculate the amount of butter you have to figure out more flour she used.

First, **480 ÷ 120 = 4** So she uses **4 times **the amount of flour.

Then, **60 × 4 = 240**

Next, you need the amount of milk so we also multiply by 4.

**250 × 4 = 1000**

Lastly, have a great day!

Sue charges $15 per hour for the first hour of babysitting and $10 for each additional hour, with each fraction of an hour counted as a whole hour. The rates that Vic charges for x hours are modeled by the function shown. Part A - Who will charge more to babysit for 10 hours? Justify your response.

Sue charges $15 per hour for the first hour of babysitting and $10 for each additional hour, with each fraction of an hour counted as a whole hour. The rates that Vic charges for x hours are modeled by the function shown. Part B - What is the rate of change for each function over the interval 7 ≤ x ≤ 11? *

Sue charges $15 per hour for the first hour of babysitting and $10 for each additional hour, with each fraction of an hour counted as a whole hour. The rates that Vic charges for x hours are modeled by the function shown. Part C- What is the domain of each of these functions? *

Sue charges $15 per hour for the first hour of babysitting and $10 for each additional hour, with each fraction of an hour counted as a whole hour. The rates that Vic charges for x hours are modeled by the function shown. Part D- What is the range of each of these functions? *

I have the part A answer. I don't have part, b,c,d

I need help plzz

**Answer:**

12:06

**Step-by-step explanation:**

Gwendolyn Logan is not happy with you cheating.

**Answer: At 12:06 their went raid **

**AStep-by-step explanation:**

I'm sorry im just doin my job.

gwendell briggs

avbc

b

Which choice is equivalent to the expression below?

**Answer:**

The answer is A

**Step-by-step explanation:**

In mathematics, a radical expression is defined as any expression containing a radical (√) symbol. Many people mistakenly call this a 'square root' symbol, and many times it is used to determine the square root of a number. However, it can also be used to describe a cube root, a fourth root, or higher.

Jordan spent a total of $14.85 on a trip to the zoo. She spent $6.50 to get into the zoo, $2.85 on snacks, and the rest on bus fares. How much did she spend on bus fares to and from the zoo? A) $5.05 B $5.50 C $8.35 D $9.35 . museum announces that it has just

**Answer:**

To find your answer you would subtract $6.50 and $2.85 from $14.85

you would get $5.50 so that is how much she spent on a round trip ticket to the zoo.

**Step-by-step explanation:**

A bowl has 2 blue candies and 3 red candies inside it.

The tree diagram shows that the first event tells us the probability of choosing each blue and red candy.

The second event describes the probability of choosing an additional blue and a red candy.

Find the value of x and y

**Answer:**

[tex]x = \frac{1}{4} [/tex]

[tex]y = \frac{2}{4} [/tex]

A 2-pack of sweatshirts costs $18.09. What is the unit price, rounded to the nearest cent?

**Answer:**

9.04

**Step-by-step explanation:**

18.09÷2=9.045

Rounded to the nearest cent 9.04

Tom started an entertainment company. The net value of the company (in thousands of dollars) ttt months after its creation is modeled by v(t)=4t^2-24t-28v(t)=4t 2 −24t−28v, left parenthesis, t, right parenthesis, equals, 4, t, squared, minus, 24, t, minus, 28 Tom wants to know when his company will be at its lowest net value. 1) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation.

**Answer:**

[tex]v(t) = 4(t -7)(t +1)[/tex]

**Step-by-step explanation:**

**Given**

[tex]v(t) = 4t^2 - 24t - 28[/tex]

**Required**

Rewrite in a different form

**To write in a factored form, we have:**

[tex]v(t) = 4t^2 - 24t - 28[/tex]

**Expand**

[tex]v(t) = 4t^2 +4t- 28t - 28[/tex]

**Factorize**

[tex]v(t) = 4t(t +1)- 28(t +1)[/tex]

**Factor out t + 1**

[tex]v(t) = (4t -28)(t +1)[/tex]

**Factorize 4t - 28**

[tex]v(t) = 4(t -7)(t +1)[/tex]

Edge 8th grade sample bias

Mrs. Greenaway has decided to open a new preschool in her town. To decide whether she will have enough students to be successful, she hires a researcher to conduct a survey of the town’s population. Which of the following groups would make up the best sample for this survey?

A. parents of preschool children

B. parents of elementary school children

C. registered voters in the town

D. members of the town council

The answer is a

Since she wants to know if she would have enough students she should survey the parents of the children

Since she wants to know if she would have enough students she should survey the parents of the children

Suppose a man has a mass of 76kg and a density of 0.92g/cm3.

A) Calculate his volume.

b) Calculate the mass of air that he displaces, using the density of air from Table 5.2. The density of air is 1.29kg/m3

c) Calculate the buoyant force on him due to the air he displaces and compare this to his weight in newtons.

**Answer:**

A) 0.08260 cubic meter

B) 106.554 grams

C) 1.044 Newton

**Step-by-step explanation:**

A) Volume = mass/density

Substituting the given values, we get -

Volume = [tex]\frac{76000}{0.92} =82608.69[/tex] cubic centimeter

[tex]= 0.08260[/tex] cubic meter

B) Mass = volume * density

Mass of air =

[tex]= 0.08260 * 1.29 \\= 0.106554\\[/tex]Kilogram

[tex]106.554[/tex] grams

C) Buoyant force = density * acceleration due to gravity * Volume

Buoyant force due to air =

[tex]0.08260 * 9.8 * 1.29 \\1.044[/tex]Kg-m/s or Newton

Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots including an 8% sales tax

**Answer:**

**$204.98**

**Step-by-step explanation:**

**Step 1: Add both item cost**

[tex]99.90 + 89.90 = 189.80[/tex]

**Step 2: Find the sales tax of the result**

[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]

**Step 3: Add the result from the total cost of both items**

[tex]189.80 + 15.184 = 204.98[/tex]

**The total cost of the hats and boots including sales tax is 204.98 dollars**

Bev asked 5 friends how many books they each read last month.

She put her data in a table and found the total number of books read

Find the mean and the median of the data set.

Determine which of these values is greater.

A. The median, 5, is greater than the mean, 2.

B. The median, 5, is greater than the mean, 4.

C. The mean,5, is greater than the median,2

D. The mean,4, is greater than the median,3

Answer: C

Step-by-step explanation:

**Answer:**

its B

**Step-by-step explanation:**

took the test on ap ex

Nicholas has a pepper shaker in the shape of a cylinder. It has a radius of 9 mm and a height of 32 mm. How much pepper will fit in the shaker?

Answer:

8,138.88 mm³

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

π = 3.14

Radius, r = 9 mm

Height, h = 32 mm

Volume of a cylinder = πr²h

= 3.14 × (9 mm)² × 32 mm

= 3.14 × 81 mm² × 32 mm

= 8,138.88 mm³

Volume of a cylinder = 8,138.88 mm³

Quantity of pepper that will fit in the shaker = 8,138.88 mm³

Seventy-five percent, or 15, of the students in

Emily's homeroom class are going on a field trip. Two thirds, or 12, of the

students in Santiago's homeroom class are going on the field trip. Which

class has more students? Justify your answer.

The answer is in the file below

Bit.xly.com

Hopes this answers your question and helps you

Bit.xly.com

Hopes this answers your question and helps you

eight friends share 64 tickets to the carnival. each friend has the same number of tickets. how many tickets does each friend have?

**Answer:**

8 Tickets

**Step-by-step explanation:**

64/8 = 8 tickets

---------------------------

check work:

8*8 = 64

Last one for this one

**Answer:**

Try 64. I think its right. I could be wrong though

**Step-by-step explanation:**

i’m stuck

please help

**Answer:**

13

**Step-by-step explanation:**

**Answer:**

its the last one, answer D.

**Step-by-step explanation:**

Which of these best describes π? A The area of a circle divided by its diameter. B The circumference of a circle divided by its radius. C The circumference of a circle times 3.14 D The ratio of a circle's circumference to its diameter

**Answer: D. The ratio of a circle's circumference to its diameter**

**Step-by-step explanation:**

Pi is the ratio of the circumference of a circle to its diameter which means that we get pie by dividing the circumference by the diameter. This relationship is true regardless of the size of the circle because the relationship between the circumference and the diameter does not change regardless of size.

Pi is very useful when calculating measures related to circles such as area and circumference. It also comes in handy for shapes that have circles in them such as cones.

Katy put $3000 into his bank account. If the account pays 9% interest compounded continuously, when will it be worth $12000?

**Answer:**

33 years and 4 months.

**Step-by-step explanation:**

Assuming it is a flat rate

3000 x 0.09 = $270 per year

12000-3000=9000

9000/270 = 33 years, 4 months

a football is kicked at an angle of 60 with initial velocity of 80 ft./s. approximately how far will the ball travel horizontally before it hits the ground?

4ft.

13ft

75ft

173ft

**Answer:**

** 75ft **

**Step-by-step explanation:**

We are to find the maximum height reached by the ball. This is expressed as;

H = u²sin²Ф/2g

u is the initial velocity = 80 ft./s.

Ф is the angle = 60degrees

g is the acceleration due to gravity = 32ft/s

Substitute

H =80²sin²60/2(32)

H = 6400sin²60/64

H = 100 (0.8660)²

H = 100*0.749956

H = 74.9956

H ≈ 75ft

**Hence the ball has travelled 75ft apprximately**

make q the subject of 4p=5q-2

**Answer:**

5q = 4p + 2

**Step-by-step explanation:**

4p = 5q - 2

4p + 2 = 5q - 2 + 2

5q = 4p + 2

differentiate the following functions (x^3+1)(x-2)÷x^2

**Given:**

The given function is:

[tex]\dfrac{(x^3+1)(x-2)}{x^2}[/tex]

**To find:**

The differentiation of the given function.

**Solution:**

Consider the given function,

[tex]y=\dfrac{(x^3+1)(x-2)}{x^2}[/tex]

It can be written as:

[tex]y=\dfrac{(x^3)(x)+(x^3)(-2)+(1)(x)+(1)(-2)}{x^2}[/tex]

[tex]y=\dfrac{x^4-2x^3+x-2}{x^2}[/tex]

[tex]y=\dfrac{x^4}{x^2}-\dfrac{2x^3}{x^2}+\dfrac{x}{x^2}-\dfrac{2}{x^2}[/tex]

[tex]y=x^2-2x+\dfrac{1}{x}-\dfrac{2}{x^2}[/tex]

Differentiate with respect to x.

[tex]y'=\dfrac{d}{dx}(x^2)-\dfrac{d}{dx}(2x)+\dfrac{d}{dx}(x^{-1})-\dfrac{d}{dx}\2(x^{-2})[/tex]

[tex]y'=2x-2(1)+(-x^{-2})-2(-2x^{-3})[/tex]

[tex]y'=2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex]

**Therefore, the differentiation of the given function is [tex]2x-2-\dfrac{1}{x^2}+\dfrac{4}{x^3}[/tex].**

ILL GIVE YOU BRAINLEST IF YOU AWSER IT

6.09 6.29 6.257 6.481

The least number is 6.09, then 6.257, then 6.29, then the greatest is 6.481.

Amelia washes and dries her clothes at the laundromat. She can wash and dry 3 loads of

laundry for $10.00. At this rate, how much, in dollars, will it cost to wash and dry 18 loads of

laundry?

The answer is $60

18/3=6

$10x6=$60

18/3=6

$10x6=$60

Find the value of x number on top is 6 and other is 9

**Answer:**

x = - 12, 3

**Step-by-step explanation:**

By tangent secant theorem:

[tex]x(x + 9) = {6}^{2} \\ \\ {x}^{2} + 9x = 36 \\ \\ {x}^{2} + 9x - 36 = 0 \\ \\ {x}^{2} + 12x - 3x - 36 = 0 \\ \\ x(x + 12) - 3(x + 12) = 0 \\ \\ (x + 12)(x - 3) = 0 \\ \\ x + 12 = 0, \: \: x - 3 = 0 \\ \\ x = - 12, \: \: x = 3 \\ \\ [/tex]

PLSSS HELP ILL GIVE BRAINLIEST TO THE RIGHT ANSWER

**Answer:**

56

**Step-by-step explanation:**

The simplest way to do this is to divide 3 by 21 to get 7. This means that it takes $7 to buy one T-shirt. If you multiple 8 X 7, you get 56. This mean that the correct answer is A. $56.00

Hope it helped and have a great day :)

Many countries, especially those in Europe, have significant gold holdings. But many of these countries also have massive debts. The following data show the total value of gold holdings in billions of U.S. dollars and the debt as a percentage of the gross domestic product for nine countries (WordPress and Trading Economics websites, February 24, 2012). Country Gold Value DebtChina 63 17.7France 146 81.7Germany 203 83.2Indonesia 33 69.2Italy 147 119Netherlands 36 63.7Russia 50 9.9Switzerland 62 55U.S. 487 93.2Required:a. Using the entire data set, develop the estimated regression equation that can be used to predict the debt of a country given the total value of its gold holdings.b. Use residual analysis to determine whether any outliers or influential observations are present.c. Compare the estimated slope for the new estimated regression equation to the estimated slope obtained in part (c).
PLEASE HELP. What does the atomic number of an element tell us? A) the number of neutrons in an atom of an elementB) the number of protons in an atom of an element C) the number of protons, electrons, and neutrons in an element
Once you have created both sets of numbers, complete the following tasks. In each task, make sure to clearly label which set you are identifying or describing.Identify the elements of each set that you created.Calculate the mean of each set. Show your work in your answer.Calculate the mean absolute deviation of each set. Show your work in your answer.Describe the process you used to create your sets of numbers under the given conditions.Need help!!!
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a maintenance worker is replacing worn rope on 6 flagpoles.the worker needs 40 feet rope for eqch flagpole. at the hardware store, rope is sold by the yard.how many yards of rope does the workwr need to buy for all 6 flagpoles?
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Giving brainlist to whoever answers
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