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4vir4ik [10]
3 years ago
10

HELPPPPP PLEASEEEE!! ASAP please and thank you!

Mathematics
1 answer:
storchak [24]3 years ago
4 0
To solve this problem we can find the area of the whole rectangle, then find the area of the smaller white rectangle inside the whole rectangle. Lastly, we can subtract the area of the smaller rectangle from the area of the whole rectangle which leaves us with the area of the shaded region.

Area of whole rectangle = length x width
= (3x + 6) (2x + 4)
= 6x squared + 24x + 24

Area of small rectangle = length x width
= (x-3) (x - 1)
= x squared - 4x + 3

Area of shaded region = area of whole rectangle - area of small rectangle
= 6x squared + 24x + 24 - x squared + 4x - 3
= 5x squared + 28x + 21
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romanna [79]

Answer:

see explanation

Step-by-step explanation:

The n th term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given

6(a₁ + 5d) = 13(a₁ + 12d) ← distribute parenthesis on both sides

6a₁ + 30d = 13a₁ + 156d ( subtract 13a₁ from both sides )

- 7a₁ + 30d = 156d ( subtract 30d from both sides )

- 7a₁ = 126d ( divide both sides by - 7 )

a₁ = - 18d

Now

a₁₉ = a₁ + 18d = - 18d + 18d = 0 ← as required

7 0
3 years ago
What is 2 times 2 1/4
zlopas [31]

Answer:

4.5

Step-by-step explanation:

You can change 1/4 to a decimal and then multiply 2×2.25

7 0
3 years ago
What is the area of a regular octagon with a side length of 6 mm and an apothem length of 7.243 mm? Round your answer to the nea
Harlamova29_29 [7]
OCTA=8, an octagon has 8 sides, thus if one side is 6mm, then all sides, namely the perimeter, is 6+6+6+6+6+6+6+6, or 48.

now, we know what the apothem is.

\bf \textit{area of a regular polygon}\\\\
A=\cfrac{1}{2}ap~~
\begin{cases}
a=apothem\\
p=perimeter\\
-------\\
p=48\\
a=7.243
\end{cases}\implies A=\cfrac{1}{2}(7.243)(48)
5 0
2 years ago
Which equation can be used to find the volume of this solid?
bogdanovich [222]

Answer:

V= 2 times 4 times 5

Step-by-step explanation:

In order to calculate the volume of a figure u must calculate lwh or length times width times height. In this case length is 5 width is 4 and height is 2. This can be plugged in and becomes 2 times 4 times 5.

6 0
3 years ago
Read 2 more answers
How many pounds does 64 ounces weigh?
wel

Answer:

4 lbs

Step-by-step explanation:

There are 16 ounces in a pound, so divide 64 by 16 to get the number of pounds.  64 ÷ 16 = 4 lbs

8 0
3 years ago
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