What is the gcf of 8 and 42

Answer:

The scale drawing is correct for the length;

[tex]\overline{BC} = 5\dfrac{34}{35} \ in.[/tex]

Step-by-step explanation:

The diagram shows the rectangular cross-section of a roof truss

The given dimension of the side [tex]\overline{AB}[/tex] of the roof truss scale drawing = 9.5 in.

The actual length of the side [tex]\overline{AB}[/tex] on the roof truss = 38 feet

The actual length of the side [tex]\overline{BC}[/tex] on the roof truss = 22 feet

Therefore, the scale of the scale drawing is given as follows;

The scale of the drawing = (Scale dimension)/(Actual dimension)

38 feet = 9.5 inches on the drawing

∴ 1 foot = 9.5 inches/35 = 19/70 inches on the drawing

1 foot = 19/70 inches on the drawing

22 feet = (19/70 inches × 22) on the drawing = [tex]5\frac{34}{35}[/tex] inches on the drawing

The length of [tex]\overline{BC}[/tex] on the scale drawing =  [tex]5\frac{34}{35}[/tex] inches.

Answer: [tex]16x^{2} - 26xy - 12y^{2}[/tex]

Answer:

B. 196πx² + 392πx + 196π

Step-by-step explanation:

Total surface area of a sphere = 4πr²

Radius, r = 7x + 7

Total surface area of a sphere = 4πr²

= 4 * π * (7x + 7)²

= 4π * (7x + 7) * (7x + 7)

= 4π * 49x² + 49x + 49x + 49

= 4π * (49x² + 98x + 49)

= 196πx² + 392πx + 196π

B. 196πx² + 392πx + 196π

Answer:

B

Step-by-step explanation:

To determine which point lies on the line, substitute the x- coordinate of the point into the equation and if the value equals the y- coordinate of the point then it lies on the line.

A (4, 8)

y = - 3(4) + 4 = - 12 + 4 = - 8 ≠ 8 ← not on line

B (4, - 8 )

y = - 3(4) + 4 = - 12 + 4 = - 8 ← lies on line

C (- 4, 8 )

y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ 8 ← not on line

D (- 4, - 8 )

y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ - 8 ← not on line

The point lying on the line is (4, - 8 ) → B

Answer: here is an example in the screenshot

it is A,B,C, or D

Step-by-step explanation:

For a given perimeter, the area will be maximized when all the sides are the same length, which makes it actually a square. A square is still a rectangle, though! So, if you know the perimeter, divide it by four to determine the length of each side. Then multiply the length times the width to get the area.

BTW U CAN USE A CALCULATOR

Answer:

√{2545×2545}=√2545²=±2545

Answer:

93%.

Step-by-step explanation:

% Decrease = Decrease ÷ Original Number × 100

Divde 11,625 by 12,500 and multiply the answer by 100.

11,625 ÷ 12,500 × 100 = 93  

The percentage reduction is 93%.

Answer:

This is in the simplest form already.

Step-by-step explanation:

The simplified form of the given expression 4x5p would be equal to 20xp.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

The given expression is 4x5p. we need to simplify the expression.

but the given expression has unlike terms 4x and 5p so, the, unlike a variable, could not be multiplied.

Now, the simplified form will be

4x5p

= 20xp

Learn more about polynomials;

https://brainly.com/question/11536910

Answer:

1

Step-by-step explanation:

Answer:

The chance of picking a yellow marble twice in a row without replacement is 0.22

Step-by-step explanation:

The given number of marbles in the bag = 25 marbles

The number of red marbles in the bag = 5 red marbles

The number of blue marbles in the bag = 8 blue marbles

The number of yellow marbles in the bag = 12 yellow marbles

The chance of picking a yellow marble = 12/25

The chance of picking another yellow when the first one is not replaced = 11/24

Therefore, the chance of picking a yellow marble twice in a row = 12/25 × 11/24 = 1/25 × 11/2 = 11/50

Therefore;

The chance of picking a yellow marble twice in a row without replacement = 11/50 = 0.22

Answer:

2.814

Step-by-step explanation:

Answer:

14802

Step-by-step explanation:

Answer:

51.75- 15= 36.75

36.75/3= 12.25 per ticket

Answer:

51.75 - 15 / 3

Step-by-step explanation:

$15 for a bucket of popcorn is separate from the tickets, so you subtract that from the sum.

Then you should have 36.75.

36.75 / 3 = 12.25

I hope this helped!

Stay safe! <3

Answer:

Starting average customer rating was 5.

Step-by-step explanation:

Equation representing the average customer rating at Austin's bakery over time is,

y = 0.25x + 5

Here, 'x' represents the time or duration.

Starting average customer rating means value of y at x = 0.

Therefore, y = 0.25(0) + 5

y = 5

Starting average customer rating was 5.

Answer:Starting average customer rating was 5.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the rise over run formula

y2-y1/x2-x1

1992-1990/3317-3038

2/-279

-139.5

Answer:

36

Step-by-step explanation:

b is 3x bigger then a and c but all add to 180

so 108 is b you have 72 left 72/2 for and c is 36

Answer:

4

Step-by-step explanation:

we have been given the mean as 5 so it means you have to multiply five with the mean since there are five numbers .If you multiply you will get 25 then add 5+8+2+6 the answer you will get is 21 thn write an equation 21+x=25 because 21 has a positive sign infront of it when it crosses the equal sign it will change to a negative sign the equation will be x=25-21 if you subtract you will get 4 so x=4

Answer:

[tex]\displaystyle 5[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{32}{39}} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

OR

[tex]\displaystyle \boxed{y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1\frac{25}{39}} \hookrightarrow \frac{-\pi}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5cos\:\frac{39}{64}\pi{x} + 1,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between both photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle \frac{32}{39}\:unit[/tex]to the right, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{32}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you get [tex]\displaystyle \boxed{-\frac{32}{39}} = \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1.[/tex]Intermediate, we have two sine graphs [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5sin\:\frac{39}{64}\pi{x} + 1.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle 1\frac{25}{39}\:unit[/tex]to the right, which means that in order to match the leftward sine graph, we need to shift the graph BACKWARD [tex]\displaystyle 1\frac{25}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-1\frac{25}{39}} = \frac{-\pi}{\frac{39}{64}\pi}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-6\frac{22}{39}, 1],[/tex]from there to [tex]\displaystyle [-3\frac{11}{39}, 1],[/tex]they are obviously [tex]\displaystyle 3\frac{11}{39}\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 3\frac{11}{39}.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and in case you want to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended five units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. So, overall, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Step-by-step explanation:

y = 6x-11

substitute y into 2x+3y=7

2x+3(6x-11)=7

2x + 18x-33 = 7

20 x = 7+33

x = 2

y?

y= 6(2)-11

y = 12-11 = 1

so, x = 2 and y = 1

Answer:

Answers below

Step-by-step explanation:

1. Order pair method

[(x2-x1) , (y2-y1)] = b-a = [(7--9) , (3-9)] = (16,-6)

2. Magnitude

|v| = [tex]\sqrt{16^2+-6^2}[/tex]

v = |17.088|

Answer:

B ON EDGE2021

Step-by-step explanation:

Answer:

option 4 is correct answer of this question

6/x^3

Step-by-step explanation:

hope it helps and your day will be full of happiness

Answer:

C

Step-by-step explanation:

Answer:

A)

Day 1: $5

Day 2: $10

Day 3: $ 15

Day 4: $20

Day 5: $25

Day:6 $30

B) Y = 5x + 10

I'm not sure how to do Letter c, apologies.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The chance the coin will show 'tails' is 1/2, since there are only 2 sides to a coin. The chance that the die will show an even number is also 1/2, since half of the numbers on a die are even, and half are odd. But, since both of these events depend on each other, or in other words, are dependent, we have to multiply both numbers. 1/2 x 1/2 = 1/4, therefore your answer is A.

Answer:

Step-by-step explanation:

A = 4x+4

[tex]\frac{6}{8}[/tex] = [tex]\frac{15}{A}[/tex]

6*A = 8*15

6(4x+4) = 120

24x + 24 = 120

24x = 96

x = 4

Answer:

18.5

Step-by-step explanation:

Answer:

$1105

Step-by-step explanation:

The area of the shape is 26 square feet.

This is a composite shape. It is made up of a trapezoid at the top and two identical parallelograms on the sides.

Here are the formulas for the area of each.

Trapezoid:

0.5(2)(6 + 8) = 14

Parallelogram:

2(3) = 6

Now, just add up the 3 parts:

14 + 6 + 6 = 26 sq ft

26 * 42.50 = $1105