Find the polynomial for the area.
The area is​

Step-by-step explanation:

[tex]Area = \: \frac{bh}{2} \\ : b = 16.9 \: h = 10.4 \\ [/tex]

[tex]Area = \frac{16.9 \times 10.4}{2} = \frac{175.76}{2} = 87.88 {ft}^{2} [/tex]

Base = 16.9

height = 10.4

Area = ½b×h

A = ½(16.9×10.4)

A = ½(175.76)

Area = 175.76/2

A = 87.88ft²

Answer:

[tex]\Large \boxed{\mathrm{87.88 \ ft^2 }}[/tex]

Step-by-step explanation:

[tex]\displaystyle area \ of \ triangle \ = \ \frac{base \times height }{2}[/tex]

[tex]\displaystyle area \ of \ triangle \ = \ \frac{16.9 \times 10.4 }{2}[/tex]

[tex]\displaystyle area \ of \ triangle \ = \ \frac{175.76}{2}[/tex]

[tex]\displaystyle area \ of \ triangle \ = \ 87.88[/tex]

Answer:

add 2 to every privious term

Step-by-step explanation:

-6+2=-4

-4+2=-2

-2+2=0

0+2=2

Step-by-step explanation:

utilise the formula a+(n-1)d

a is the first number while d is common difference

Answer:

22

Step-by-step explanation:

Using the formular, Un = a + (n - 1)d

Where n = 10; a = -23; d = 5

U10 = -23 + (9)* 5

U10 = -23 + 45 = 22

Answer:

it would just be 2000 * 1.075

Step-by-step explanation:

2150

Price = $2000

Sales tax

= 7.5% of Price

= 7.5% of $2000

= (7.5/100) × $2000

= 0.075 × $2000

= $150

Total price

= Price + Sales tax

= $2000 + $150

= $2150

Answer:

The two boards of equal length are 30 inches long, and the third board is 24 inches long

Step-by-step explanation:

First, convert the length of the board to inches. There are 12 inches in a foot, so multiply 7 by 12:

7(12)

= 84

Let x represent the length of the two boards of equal length. The length of the third board can be represented by x - 6, since it is 6 inches shorter than the other two.

Create an equation to represent this and solve for x:

(x) + (x) + (x - 6) = 84

3x - 6 = 84

3x = 90

x = 30

So, the two boards of equal length are 30 inches long.

Subtract 6 from this to find the length of the third board:

30 - 6

= 24

The two boards of equal length are 30 inches long, and the third board is 24 inches long.

Answer:

d. An optimal solution to linear programming problem can be found at an extreme point of the feasible region for the problem.

Step-by-step explanation:

A feasible solution satisfies all the constraints of the problem in linear programming. The constraints are the restrictions on decision variable. They limit the value of decision variable in linear programming. Optimal solutions occur when there is feasible problem in the programming.

Answer:

15

Step-by-step explanation:

Just find out the pattern.  It is decreasing, so let's find out how much it is decreasing by.

31-29= -2

29-24= -5

24-22= -2

22-17= -5

The pattern is -2, -5, -2, -5... So the next one should be -2 again!  17-2=15.

Remember, a pattern doesn't always have to be subtracting, adding, dividing, or multiplying at a constant number!  It can switch between two, like this problem!

Geometric figures are basically figures that have a boundary. The geometric figures and their real life examples are:

To determine the real life object of each geometric figure, we simply identify objects that have similar features as the geometric figure.

For instance, a rectangular prism has 6 rectangular faces; building blocks, some gift box and cabinets also have 6 rectangular faces.

So, these three real life objects can be used as examples of a rectangular prism.

When the above explanation is applied to the other geometric figures, we come up with the following list:

Read more about geometric figures at:

https://brainly.com/question/8430622

In the photo are a couple possible answers you could use.

Answer:

x = 1       y = -4

Step-by-step explanation:

-7x + 3 = -x - 3

-7x = -x - 6

-6x = -6

x = 1

y = - (1) - 3

y = -1 - 3

y = -4

Answer:

After a 75% increase, it would become

x + 75%x = x + 0.75x = x(1 + 0.75) = 1.75x

After a 50% decrease, it would become

1.75x - 50%(1.75x) = 1.75x - 0.5(1.75x) = 1.75x - 0.875x = 0.875x = [tex]\frac{7}{8} x[/tex]

Because [tex]\frac{7}{8} x[/tex] is less than x, the new amount would be less than the original.

Answer:

3780.  

Step-by-step explanation:

To solve this we will start by just considering the number of ways to arrange 9 objects. We can do this in  9!  ways.

However since we have 3 reoccurring letters in Tennessee namely n,s and e we need to remove the times these form the same arrangement. Let me give an example to show what this means. Lets say we have the arrangement:

ennetssee

Now what happens if we exchange the places of the letters n for example? Of course we get the same arrangement of letters. We don’t want to count these as 2 different arrangements since for our interests they are the same. We therefore divide  9!  by the number of times this type of double counting occurs.

Since the word has the letter n occurring twice we will start by diving by  2! .

The letter s occurs 2 times as well so we will have to divide by  2!  again.

Finally the letter e occurs 4 times and so we will have to divide by  4!  here.

Now we get the following result:

9/(2 x 2 x 4)=3780.  

So in conclusion there are 3780 different ways to arrange the letters in Tennessee.

Answer:

?

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Let "x" be the number of nickels, of dimes, and of quarters.

The value of the nickels is 5x cents.

The value of the dimes is 10x cents

The value of the quarters is 25x cents.

Equation:

Value of nickels + Value of dimes + Value of quarters =1320 cents

5x + 10x + 25x = 1320

Sove for "x". Then you will know the number of each coin.

Answer:

-4

Step-by-step explanation:

you say 6-10

which is -4

What is the temperature if 10°C less than 6°C

10°C less than 6°C is -4°C

Explanation:

So, if we start with 6°C, and we want a temperature 10°C less than that, then we can just subtract 10 from 6.

6-10 = -4

Answer:

I know the answer

Step-by-step explanation:

Courtney made 60% of her shots

Answer:

she made a 60%

Step-by-step explanation:

first you do this 3÷5

that gives you .60

inorder to get a percent multiply by 100

that gives you an end result of 60

add the percent sing and your done 60%

hope i helped

9514 1404 393

Answer:

  (a) 5.82 cm (correctly shown)

  (b) 10.53 cm

Step-by-step explanation:

a) The length BC can be found from the law of sines:

  BD/sin(C) = BC/sin(D)

  BC = BC·sin(C)/sin(D) = (6 cm)sin(48°)/sin(50°) ≈ 5.82 cm

__

b) The angle ABD is the sum of the angles shown:

  angle ABD = 50° +48° = 98°

We know the lengths BA and BD and the included angle ABD, so we can use the law of cosines to find AD.

  AD² = BA² +BD² -2·BA·BD·cos(98°)

  AD² ≈ 8² +5.82² -2(8)(5.82)(-0.139173) ≈ 110.8411

  AD ≈ √110.8411 ≈ 10.53 . . . . cm

Answer:

Step-by-step explanation:

No of books in Preeti's shelf = 56

No of books in Shikha's shelf = 35

56 > 35

∴ Preeti's shelf is more full by 21 books

as 56 - 35 = 21

Hope this helps

plz mark as brainliest!!!

Answer:

Answer to question a = 95.4

Answer to question b = UCL = 96.07

LCL = 94.73

Answer to question c = Process is still in control

Step-by-step explanation:

a. The computation of estimate mean is as shown below:-

= 95.4

b. The computation of Upper Control Limit (UCL) and the Lower Control Limit (LCL) for the manufacturing process is shown below:-

= 95.4 + 0.67082

= 96.07

= 95.4 - 0.67082

= 94.73

c. The explanation is shown below:-

From the above calculation we can see that the sample lies between LCL AND UCL that is (94.73 ,96.07) ,

The Process is still in control

Answer:

[tex]x = 30[/tex]

Step-by-step explanation:

If 3, 9, 10, x are in proportion. Then,

[tex]x \times 3 = 10 \times 9[/tex]

[tex]x \times 3 = 90[/tex]

[tex]x = 30[/tex]

Step-by-step explanation:

Given that 3, 9, 10, x are in proportion <br> product of exterms = Product of means <br>

<br>

3x=9×10

X=(9x10)/3

X=90/3

X=30

Answer:

B)21

Step-by-step explanation:

∠KN=∠ML

∠KN=90°+15°

=105°

∠ML=105°

5x°=105°

x°=105÷5

x°=21°

Answer:

[tex]5x=90+15[/tex]

Add, 90 + 15 = 105

[tex]5x=105[/tex]

Divide both sides by 5

[tex]\frac{5x}{5}=\frac{105}{5}[/tex]

[tex]x=21[/tex]°

[tex]\textbf{OAmalOHopeO}[/tex]

Answer:

[tex]g(x) = 0.5^{(x+3)}[/tex]

Step-by-step explanation:

Assuming f(x) = [tex]0.5^{x}[/tex] is a correct interpretation of f(x),

the way to translate three units to the left is to change x to x+3.  This gives our answer:   [tex]g(x) = 0.5^{(x+3)}[/tex]

Answer:

B. g(x) = (1/2)⁽ˣ⁺³⁾

Hope this helps!

Step-by-step explanation:

Answer:

18.05

Step-by-step explanation:

Answer:

-21

Step-by-step explanation:

1-2+4-8+16-32

=-21

Answer:

The sum of the first 6 terms of the infinite series will be - 21.

Step-by-step explanation:

In this case, the infinite geometric series 1 - 2 + 4 - 8 + ... is represented by the following summation,

[tex]\sum _{{k=0}}^{{n}}(-2)^{k}[/tex]

Therefore if we continue this pattern, the first 6 terms will be 1 - 2 + 4 - 8 + 16 - 32. Adding these terms,

1 - 2 + 4 - 8 + 16 - 32

= - 1 + 4 - 8 + 16 - 32

= 3 - 8 + 16 - 32 = - 5 + 16 - 32

= 11 - 32 = Solution : - 21

Answer:

Step-by-step explanation:

time = 49 hours

speed =  7 miles/hour

speed = distance / time

∴ distance = speed × time

= 7 × 49

= 343 miles

Answer:

1106.666667 to the nearest whole number

1107

Answer:

1106.666667 rounds to 1107

Step-by-step explanation:

We look at the whole number, 6

Then look at the tenths place .6

Since 6 is greater than or equal to 5, we round the whole number up one place to 7

1106.666667 rounds to 1107

Answer:

Step-by-step explanation:

6x³ - 4x² - 16x

To factorize the expression first factor out the GCF out

The GCF in the expression is 2x

That's

2x( 3x² - 2x - 8)

Next Factorize the terms in the bracket

To factorize write - 2x as a difference

that's

2x( 3x² + 4x - 6x - 8)

Factor out x from the expression

2x [ x( 3x + 4) - 6x - 8 ]

Next factor out - 2 from the expression

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

Factor out 3x + 4 from the expression

We have the final answer as

Hope this helps you

Answer:

  B, E

Step-by-step explanation:

You can use these strategies to compare the given graph and the other representations.

  A & B) See if the point (x, y) = (8, 6) marked on the first graph works in the given equation.

A -- 6y = 8x   ⇒   6(6) = 8(8) . . . FALSE

B -- y = (3/4)x   ⇒   6 = (3/4)8 . . . True

__

  C) Compare this graph to the given graph. They don't match.

__

  D & E) Plot a point from the table on the given graph and see where it falls.

D -- The point (x, y) = (3, 4) lies above the line on the given graph.

E -- The point (x, y) = (4, 3) lies on the given graph.

_____

Choices B and E have the same constant of proportionality as shown in the given graph.

Answer:

B and E

Step-by-step explanation:

Answer:

6.7

Step-by-step explanation:

The formula for volume is V=lwh.

320=(6)(8)x

Solve.

320=48x

Divide both sides by 48.

6.6666666=x

Round to the nearest tenth.

x=6.7

I hope this helps!

pls ❤ and give brainliest pls

Answer:

6.7 =x

Step-by-step explanation:

The volume is given by

V = l*w*h

320 = 8*6*x

320 =48x

Divide each side by 48

320/48 = 48x/48

6.6666666 = x

Rounding to the nearest tenth

6.7 =x

Answer:

1/3(a+b)

hope it helps :>