Find the quadratic equation

Find the area. Round to the nearest tenth. 6 ft 3 ft 12.16 ft 9.16 ft

bagirrra123 [75]

Answer:

100.5 ft^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w

A = 12.16 * 6

A =72.96 ft^2

Then find the area of the triangle

A = 1/2 bh

The base is 12 ft - 6ft = 6ft

The height is 9.16 ft

A = 1/2 ( 9.16) * 6

A = 27.48 ft^2

Add them together

27.48+72.96

100.44 ft^2

Round to the nearest tenth

100.5 ft^2

7 0

3 years ago

Read 2 more answers

Find the 13th term of a sequence where the

ValentinkaMS [17]

Answer:

First, you write an explicit formula then plug in the value of n in the formula with the term number you are trying to find, in this case the 13th term.

The steps are in the pictures

the final answer is 121 btw

4 0

3 years ago

debt payments of $800 due now and $1400 due in 5 months are to be repaid by a payment of $1000 in 3 months and a final payment i

loris [4]

Answer:

$1,304.70

Step-by-step explanation:

If interest 6% annually, monthly is 0.5%.

The debt in 5 months will be 800 plus compounded interest for 5 months plus new due debt

$800(1.005)^5+1400=2220.201$

In 3 more months the debt will be 2220.201 plus compounded interest for 3 months minus payment

$2220.201(1.005)^3-1000=1253.67$

After 8 months the debt would be 1253.67 plus compounded interest for 8 months

$2220.201(1.005)^3=1304.70$

Then the size of the final payment would be $1,304.70

5 0

3 years ago

Juana went shopping with $ 50 and spent $ 45. What percentage of her money did she spend?

Ugo [173]

Answer: 90%

Step-by-step explanation:

4 0

3 years ago

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An open box is to be made out of a 6-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corne

lawyer [7]

Answer:

The dimensions of the resulting box that has the largest volume is 1.3 inches x 1.3 inches

Step-by-step explanation:

Card board size is L= 14 inches and

W = 6 inches

Let x be the size of equal squares cut from 4 corners and bent into a box whose size is now;

L = 14 − 2x , W = 6 −2x and h = x inches.

Volume of the box is given as;

V = (14 −2x)(6−2x)x

V =(4x² − 40x + 84)x

= 4x³ − 40x² + 84x.

Now, for the maximum value,

dV/dx =0

Thus,

dv/dx = 12x² - 80x + 84 = 0

Using quadratic formula

x = [-(-80) ± √(-80²) - 4(12 x 84)]/(2 x 12)

x = [80 ± √(6400 - 4032)]/24

x = (80 + 48.66)/24 or (80-48.66)/24

x = 5.36 or 1.31

Looking at the two values, 1.31 would be more appropriate because if we use 5.36,we will get a negative value of the width (W).

Thus, x = 1.31 inches

Let us use the Second Derivative Test to verify that V has a local maximum at x = 1.31.

Thus;

d²v/dx² = 24x - 80 = 24(1.31) - 80 = -48.56

This is less than 0 and therefore, the volume of the box is maximized when a 1.31 inch by 1.3 inch square is cut from the corners of the cardboard sheet.

3 0

3 years ago

Find the quadratic equation ​

Find the quadratic equation