If 12(5r + 6t) = w, then in terms of w, what is 48(30r + 36t)

Answers

Answer 1

Answer: The 12 is multiplied by 4 to get 48, andthe (5r + 6t) is multiplied by 6 to get (30r + 36t), thereforeyou are multiplying the outside by 4 and the inside by 6, puttingthose together is 24 for a factor.If 12(5r + 6t) = w, then48(30r + 36t) is equal to 24w.

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Diagram shows a section of a bridge between the points A and K. The length of line segment is 640 meters. ∆ABC, ∆CDF, and ∆FJK are similar, and 2AC = CF = 2FK. The first pillar, , is 20 meters tall.The area of ∆CDF is square meters.

Answers

AK = 640
Δ ABC and ΔFJK are similar. They are small triangles.
ΔCDF is the big triangle.

640 / 2 = 320 m= CF
AC & FK= 320/2 = 160 m each

2AC = CF = 2FK
2(160) = 320 = 2(160)

BG = 20 m

20/160 = x / 320
20*320 = 160x
6400 = 160x
6400/160 = x
40 = x

Area of CDF = (40 m * 320 m)/2 = 12,800 / 2= 6,400 m²

6,400 meters squared on plato. Just took the test and it is correct.

The sum of three consecutive integers is 1,623. How do you write this as an equation?

Answers

consecutive integers are 1 away from each other therefor they are
x,x+1,x+2

they add to1623
so
x+x+1+x+2=1623 is equation
(fyi 540,541,542 are the numbes)

Since we are looking for a sum, we add. Since we know the integers are consecutive, then we know that the second number will be one more than the first number and the third number will be two more than the first number... so we can set up the equation by setting the first number as "x" and then

x + (x + 1) + (x + 2) = 1623

Now we combine like terms

3x + 3 = 1623

Subtract 3 from each side

3x = 1620

Divide each side by 3

x = 1620/3 = 540

So we have the first number as 540, so the next numbers will be 541 (x +1) and 542 (x + 2)

540, 541, and 542

Check the answer by adding them together to see if they add to 1623

What negative numbers multiply to get a positive 54

Answers

16 would be the answer

The negative numbers that will multiply to get a positive 54 are -9 and -6.

The interior angles in a regular polygon are 140 degrees. How many sides has the polygon? it could be something to do with s=(n-2) x 180

Answers

Yes, it certainly could ! When you first noticed that formula in a book, or when it was given to you in class, did you also notice or learn what it means ?

It means
"The sum of all the interior angles in a polygon" = (number of sides - 2) x 180.

Triangle ........ 3 sides ... (3 - 2) = 1 x 180 = 180° degrees ... 60° each if regular
Quadrilateral . 4 sides ... (4 - 2) = 2 x 180 = 360° degrees ... 90° each if regular
Pentagon ...... 5 sides ... (5 - 2) = 3 x 180 = 540° degrees ... 108° each if regular
Hexagon ....... 6 sides ... (6 - 2) = 4 x 180 = 720° degrees ... 120° each if regular
Sevenagon ... 7 sides ... (7 - 2) = 5 x 180 = 900° degrees ... 128 and 4/7 each if regular
Octagon ........ 8 sides ... (8 - 2) = 6 x 180 = 1080° degrees ... 135° each if regular
Nonagon ....... 9 sides ... (9 - 2) = 7 x 180 = 1260° degrees ... 140° each if regular

$180^o-140^o=40^o\n\n360^o:40^o=9\n\nAnswer:This\ a\ regular\ polygon\ has\ 9\ sides.$

Consider the following sequence: 87; 84; 81... Find an expression for term n of the sequence

Answers

Answer:

$a_(n)$ = 90 - 3n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

$a_(n)$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

$a_(n)$ = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

The area of a rectangular park is 3/5 square mile. the length of the park is 7/8 mile. what is the width of the parkshow your work

remember that Area=Length +Width