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2 years ago

Directions: Indicate product of FOIL for the problem:

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

4 0

Answer:

${x}^{4} - {y}^{2}$

Step-by-step explanation:

This is a difference of squares, so its the square of the first term minus the square of the second term.

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Find the area of the irregular figure.

Diano4ka-milaya [45]

Answer:

The area of the irregular figure is 366 cm sq.

Step-by-step explanation:

This irregular figure is made of 1 Rectangle + 1 right Triangle

<u>Area of the Rectangle:</u>

Length of the rectangle = 21 cm,

Width of the rectangle = 14 cm

AREA of Rectangle = LENGTH x WIDTH

= 21 cm x 14 cm = 294 sq cm

⇒Area of the Rectangle = 294 sq cm ..... (1)

<u>Area of the Right Triangle:</u>

Base of the rectangle = 16 cm,

Height of the rectangle = 21 cm - 12 cm = 9 cm

AREA of Right Triangle = $\frac{1}{2} \times B \times H$

$= \frac{1}{2} \times 16 \times 9 = 72$

⇒Area of the Right Triangle = 72 sq cm ..... (2)

Now, area of the irregular figure = Area of the( Rectangle +Right Triangle)

= 294 sq cm + 72 sq cm = 366 cm sq

Hence, the area of the irregular figure is 366 cm sq.

6 0

3 years ago

A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in. The length

Sever21 [200]

Answer:

width = 1.8 in

length = 3.6 in

height = $8-3w =8-3(1.8)= 2.6 in$

Step-by-step explanation:

A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in

Let l , w and h are the length , width and height

$l +w+h=8\\l=2w$

Plug it in the first equation

$2w+w+h=8\\3w+h=8\\h=8-3w$

volume the box is length times width times height

$volume = (2w)(w)(8-3w)\\16w^2-6w^3$

To get maximum volume we take derivatived

$v'=32w-18w^2$

set the derivative =0 and solve for w

$0=32w-18w^2\\0=-2w(9w-16)\\w=0 , w= \frac{16}{9}$

width = 1.8 in

length = 2w= 3.6 in

height = $8-3w =8-3(1.8)= 2.6 in$

6 0

4 years ago

Find the missing length idicated.

irina1246 [14]

Answer:

x = 25.

Step-by-step explanation:

Since the longer side of the smallest triangle bisects the largest triangle's right angle, all three triangles shown are similar.

As seen in the diagram, the smaller triangle's hypotenuse (15) corresponds to the the largest triangle's hypotenuse (x), and the smaller triangle's shorter side length (9) corresponds to the largest triangle's shorter side length (15). So, we can set up a proportion...

$\frac{x}{15} =\frac{15}{9}$

9 * x = 15 * 15

9x = 225

x = 225/9

x = 25

Hope this helps!

3 0

3 years ago

Convert to scientific notation: 0.0509.

fomenos

Answer:

5.09 × 10^-2

Step-by-step explanation:

You have to take the number go to the decimal and move it until you get to the first number and in this case, it is 5 put the decimal there. To write it you have to count the number of times you moved the decimal. when doing this it will always be a number times 10^ the number you moved the decimal.

5 0

4 years ago

What is 1/7 divided by 1/3

KiRa [710]

Answer:

Step-by-step explanation:

0.428

(.43)

7 0

3 years ago

Directions: Indicate product of FOIL for the problem:​

Directions: Indicate product of FOIL for the problem: