6. Find the lateral area and surface area of the
cylinder. Round to the nearest tenth.
12 cm
6 cm

Answer:

Hi there!

The following answers are:

14: to determine whether or not the slopes are perpendicular to one another is the negative reciprocal. In other words, if the first slope is m, the perpendicular slope is -1/m

to determine whether or not the slopes are parallel, the slopes are the same. In other words, if the first slope is m, then the parallel slope is m

So in other words: 1. perpendicular 2. neither 3. perpendicular 4. parallel

15: There are four types of rigid motions that we will consider: translation , rotation, reflection, and glide reflection.

16: Dilation is the transformation that changes the size of a figure.

Answer:

13. It says 13c so I am thinking there was 13a and 13b so I can't really answer that.

14.

 1. perpendicular.

  2.parallel.

  3. neither.

  4. parallel.

15. rotation, reflection, glide reflection and translation.

16. dilation.

Step-by-step explanation:

#14 you just need to use numbers to figure it out. for example 1. lets say the starting point is (0,2) m=3     you will go 3 squares up and one square right and end up at   (5,1)  but where for m=-1/3 you will go 1 square down and three squares right. You can do this until you have lines and see from the image you get whether it is perpendicular, parallel or neither.

#15 and 16 this are what I think are the answers but try checking it out online too. You might find the answers you are looking for there.

Answer:

B

Step-by-step explanation:

The statement describes the data is " There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold". Option B is correct.

Generally, a scatter plot is simply defined as a collection of dots drawn on two axes, horizontal and vertical.

In conclusion, observing a scatter plot of the relationship between the outside temperature and the number of cups of hot chocolate sold at an event, we see There is a nonlinear association between the outside temperature, in degrees Fahrenheit, and the number of cups of hot chocolate sold.

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Answer:

2

Step-by-step explanation:

7x - 2x = 13 - 3

5x = 10

x = 2

Answer:

Start by subtracting 2x from both sides

5x + 3 = 13

then subrtact 3 from both sides

5x = 10

divide both sides by 5 and you get

x=2

Answer:

2/12

Step-by-step explanation:

Answer:

he is using it correctly

Step-by-step explanation:

he is using it correctly because the bottom line of the angle matches with the 0° line on the protractor.

Answer:

i think its 4.3555556

(not 100% sure)

Step-by-step explanation:

Answer:

The answer is irrational

Step-by-step explanation:

Answer:

The angle is "27 and 63".

Step-by-step explanation:

Let A and B are two angles, in which  A is " [tex]\frac{1}{2}[/tex] " complementary angles  and B be is another complementary angle.

Condition of complementary angle :

[tex]A+B =90 ......(i)[/tex]

Solution:

[tex]\ A = \ 3B - 18 \\\\ \ put \ the \ value \ of \ A \ in \ equation.....(i) \\\\ \ Equation: \\ \\\Rightarrow \ A\ +\ B \ =\ 90 \\\\\Rightarrow \ 3B\ -\ 18 \ + \ B \ = \ 90 \\\\\Rightarrow \ 4B \ = \ 90 +18 \\\\\Rightarrow \ 4B = 108 \\\\ \Rightarrow B = \frac{108}{4} \\\\ \Rightarrow B \ = \ 27\\[/tex]

[tex]\ put \ the \ value \ of \ B \ in \ equation (i).\\\\ \ Equation: \\\\\Rightarrow A+B=90\\\\\Rightarrow A+27=90\\\\\Rightarrow A=90-27\\\\\Rightarrow A= 63[/tex]

Answer: d=  negative 3.03

Step-by-step explanation:

Answer:

170°

Step-by-step explanation:

Let a be the distance from Los Angeles to Chicago = 1744 miles, b be the distance from Chicago to New York = 714 miles and c be the distance from New York to Los Angeles = 2451 miles.

A is the angle opposite to side a, B is the angle opposite to side b and C is the angle opposite to side c.

Therefore the angle at Chicago is  C.

From cosine rule:

c² = a² + b² - 2ab × cos (C)

2ab × cos (C) = a² + b² - c²

cos (C) = (a² + b² - c²) / 2ab

Substituting:

cos (C) = (1744² + 714² - 2451²) / 2×1744×741

cos (C) = -0.986

C = cos⁻¹ (- 0.986) = 170°

Answer:

Beki's jersey number is 34. She last 12 minutes

Nick's jersey number is 20. He last 10 minutes

Carmen's jersey number is 2. She last 14 minutes

Joey's jersey number is 13. He last 11 minutes

Step-by-step explanation:

• The sum of the digits on Beki's jersey number is 7. Therefore, Beki's number is necessarily 34 (3+4 = 7)

• Nick's jersey number is 18 greater than Carmen's. Therefore, Nick's jersey number is 20 and Carmen's jersey number is 2 (2 + 18 = 20). If Carmen's jersey number was 13, 13+18 = 31 which is not included in the options. If it was 20, 20+18 = 38 is not included either.

• From previous items, Joey's jersey number is 13

• The runner with the lowest jersey number also ran the slowest time. Therefore, Carmen last 14 minutes

• Nick finished exactly 2 minutes faster than Beki. Therefore, Nick's time is 10 minutes and Beki's time is 12 minutes, because from the remaining options (10, 11 and 12) this is the only combination 2 minutes apart.

• From previous items, Joey's time is 11 minutes

The measure of DF​ is 100°.

Two triangles are congruent if they satisfy the 5 conditions of congruence. They are side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), angle-angle-side (AAS) and right angle-hypotenuse-side (RHS).

Congruence of triangles: Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

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Answer:

(x−4)^2+(y−1)^2=25

Step-by-step explanation:

Step-by-step explanation:

6x + y = 4x + 11y

6x-4x=11y - y

-2x=10y

Answer = -2x=10y

Answer:

144

Step-by-step explanation:

................

Answer:

A. 144

Step-by-step explanation:

as the question says, the pattern is going by multiple of two. 9 * 2 is 18, 18 * 2 is 36, 36 * 2 is 72, 72 * 2 must be 144.

Answer: V ≈ 4309.5 ft³

Step-by-step explanation: To get the answer to this word problem all we have to do is multiply height * thickness * width.

First, let's turn 6 [tex]\frac{1}{2}[/tex] into a decimal...

1 ÷ 2 = 0.5

6 [tex]\frac{1}{2}[/tex] = 6.5

6.5 * 3 * 13 = 253.5

Now, we have to multiply it by the remaining amount of stones...

253.5 * 17 = 4309.5

V ≈ 4309.5

I hope this helps!

Answer:

b

Step-by-step explanation:

The difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].

The given parameters:

[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}[/tex]

The difference between the two fractions is calculated as follows;

[tex]\frac{x + 5}{x + 2} - \frac{x+ 1}{x^2 + 2x}\\\\= \frac{x + 5}{x + 2} - \frac{x+ 1}{x(x + 2)}\\\\[/tex]

The lowest common multiple (L.C.M) of the two denominators = x(x + 2)

[tex]= \frac{x(x + 5) - (x + 1)}{x(x + 2)} \\\\= \frac{x^2 + 5x - x - 1}{x^2 + 2x} \\\\= \frac{x^2 + 4x - 1}{x^2 + 2x}[/tex]

Thus, the difference between the two given fractions is [tex]\frac{x^2 + 4x - 1}{x^2 + 2x}[/tex].

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Answer:

Smart phone sales since 1990: exponential

Throwing a baseball in the air: quadratic

Population of a colony of feral cats: exponential

Grade on a test compared to hours of studying: linear

Half of a pesticide: exponential

Driving at a constant rate of speed: linear

Answer:

72

Step-by-step explanation:

because when you do 55% out of 160 it will give you 88 which you subtract from 160 and then you will end up with 72

Answer:

4(x+3) -3 (x+2)

Step-by-step explanation: I hope that helps :)

Answer:

13 - 5x

Step-by-step explanation:

5-2(3x-4)+x

Final result:

 13 - 5x

Step by step solution:

Step 1:

Equation at the end of step 1:

(5 -  2 • (3x - 4)) +  x

Step  2:

Final result :

 13 - 5x

Answer:

2 solutions

Step-by-step explanation:

Well to find out how many solutions it has, you have to find the discriminant:

b^2 - 4ac

a = 2

b = 7

c = -3

Discriminant = 49 + 24 = 73

Discriminant is > 0 so there are 2 solutions

Answer:

2 solutions

Step-by-step explanation:

the quadratic would have 2 solutions .

Answer:

B

Step-by-step explanation:

Answer:length is 24

Step-by-step explanation:

Answer:

Since there is one peak, we can call this unimodal. As the numbers do not exactly match up (for example, 20-39 is 21 and 60-79 is 23), this is not symmetric, but it is approximately symmetric as the numbers are similar

40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

A histogram is a bar graph-like representation of data that buckets a range of classes into columns along the horizontal x-axis.

The vertical axis  was represented by number of school students.

The horizontal axis is represented by number of texts.

The As the numbers do not exactly match up (for example, 20-39 is 21 and 60-79 is 23), this is not symmetric, but it is approximately symmetric as the numbers are similar

At 40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students

Hence, 40-50 of number of texts has more number of middle school students 33 and from 0-19 has less number of middle school students.

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get the total units made:

170 + 165 + 149 + 157 + 181 = 822 units.

Multiply by pay:

822 x 0.12 = $98.64

Answer:

500

Step-by-step explanation:

here

principal(p)=2500

rate (R)=5%

Time (T)=4 years

now,

Intrest (I)=(P×T×R)/100

(2500×5×4)/100

=Rs 500

After 4 years the investment of $2500 will be $3051.02.

Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.

Compound interest is calculated by multiplying the initial principal amount (P) by one plus the annual interest rate (R) raised to the number of compound periods (nt) minus one. That means, CI = P[(1 + R)ⁿˣ – 1] Here,

P = Initial amount

R = Annual rate of interest as a percentage

n = Number of compounding periods in a given time

Given, 2500 dollars is invested at an interest rate of 5% compounded monthly.

From the above formula of compound interest

Total amount  A = P(1 + r/n)^nt

In our case

p = 2500

r = 5%

t = 4 years

Thus,

Total amount = 2500(1 + 5/12)^12 * 4

Total amount = 3051.02

therefore, this investment will be worth $3051.02 after 4 years.

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Step-by-step explanation:

Basically 15x<30 is saying that 15x is less that 30. So that means x can be any number as long as when multiplied to 15 it has to be less then 30. So they only number available is 1. So 15(1)<30. Im not sure what the question is but X=1

Answer:

x < 2 or (-∞,2)

Step-by-step explanation:

Treat the inequality sign like an = sign at this point. Don't make it more complicated than it really is. So, to figure it out, you first need to divide each side by 15 so you can get x all by itself:

[tex]\frac{15x}{15} < \frac{30}{15}[/tex]

Now we have:

x < [tex]\frac{30}{15}[/tex]

We know (using simple math) that 30 divided by 15 is 2, which gives us:

x < 2.

In interval notation, this would be (-∞,2). [Remember that the parentheses show that the interval does NOT include the specified numbers, which is what < denotes in our equation.] Hope this helped!

Answer:

Step-by-step explanation:

9x + 25 = 88

9x = - 25 = 88

9x = - 63         (divide both sides by 9)

x = - 7

CHECK:

9x + 25 = 88

9 (-7)  = 88 - 25

- 63 = - 63

Answer:

The unknown side (x) is 11.9 ft.

Step-by-step explanation:

x= 34.6 - 5.2 - 11.1 - 6.4 = 11.9

x = 11.9

Answer:

x=11.9ft

Step-by-step explanation:

[tex]5.2ft + 6.4ft + 11.1ft + xft = 34.6ft \\ |the \:addition \: of \: all \: the \: length \:would \: give \: us \: the \: the \: perimeter \: 34.6ft | \\ \\ 22.7ft + xft = 34.6ft \\ |collect \: like \: terms| \\ xft = 34.6ft - 22.7ft \\ xft = 11.9ft |final \: answer| [/tex]