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3 years ago

Plz hurry

Mathematics

2 answers:

natita [175]3 years ago

8 0

Answer: The area of the path= $36\ ft^2$

Step-by-step explanation:

Given: The side length of square garden included the path= 10 ft

Then the area of the field which included both gardens and path= $10\times10=100\ ft^2$

The width of the path = 1 ft

Therefore, the side of square vegetable garden = 10-2=8 ft

The area of vegetable garden = $8\times8=64\ ft^2$

Therefore, the area of the path= $100-64=36\ ft^2$

butalik [34]3 years ago

4 0

Answer:

The answer is 36 square feet.

Step-by-step explanation:

As it is a square so we will find the area as = side x side

Together the garden and a surrounding path are 10 feet wide.

Area will be = $10\times10=100$ square feet

The path is 1 feet wide.

So, at both ends it becomes 2 feet

The dimension of the garden is = $10-2=8$ feet

And area is = $8\times8=64$ square feet

So, area of the path alone = $100-64=36$ square feet.

Hence, the answer is 36 square feet.

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Determine whether the following propositions are true or false:

Ahat [919]

Answer:

a) false

b) true

c) true

d) true

e) false

Step-by-step explanation:

In a statement of the type:

p ∧ q

where ∧ means "and"

The statement is true only if both p and q are true

the statement is false if p, q, or both, are false.

and in the case of:

p ∨ q

where ∨ means "or"

The statement is true if at least one of p or q (or both) are true.

The statement is false if both are false.

Now that we know that, let's solve the problem:

a) "5 is an odd number and 3 is a negative number."

Here we have:

p = 5 is an odd number

We know that this is true

q = 3 is a negative number

This is false.

then the complete statement is false.

b) "5 is an odd number or 3 is a negative number."

here we have:

p = 5 is an odd number.

this is true

q = 3 is a negative number

because in this case we have an "or", with only p being true, the whole statement is true.

c) "8 is an odd number or 4 is not an odd number."

p = 8 is an odd number (this is false)

q = 4 is not an odd number (this is true, 4 is a even number)

Again, we have an "or", so we need only one true proposition, then the statement is true.

d) "6 is an even number and 7 is odd or negative."

p = 6 is an even number (true)

q = 7 is odd or negative (notice that we have an or, and 7 is odd is true, so this proposition is true)

Then both propositions are true, then the statement is true.

e) "It is not true that either 7 is an odd number or 8 is an even number (or both)."

This is most complex, this will be true if at least one of the propositions is false.

but:

7 is an odd number is true

8 is an even number is true.

Then both statements are true, which means that the statement is false.

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3 years ago

How to solve (3m+7)(2m-1)

Bad White [126]

the answer is

6m^2+11m-7

hope this helps

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3 years ago

12 POINTS!!!

dimaraw [331]

Answer:

Step-by-step explanation:

7 0

3 years ago

kathryn bought an aquarium to replace her fishbowl.The directions for the aquarium say that it should be filled with 9 cubic fee

lesya [120]

The water should fill the aquarium to 1.5 feet

Solution:

Given that the directions for the aquarium say that it should be filled with 9 cubic feet of water.

This means volume of aquarium is 9 cubic feet

Given that aquarium is 2 feet wide and 3 feet long

To find: Height of aquarium

Since a aquarium is in shape of cuboid, we can use the volume of cuboid formula

<em><u>The volume of cuboid is given as:</u></em>

volume of cuboid = $l \times w \times h$

Where "l" is the length

w is the width

"h" is the height

Substituting the values, we get,

$9 = 3 \times 2 \times h\\\\9 = 6 \times h\\\\h = \frac{9}{6} = 1.5$

Thus the height of aquarium is 1.5 feet

7 0

3 years ago

Which of the following represents the area of a rectangle whose length is x + 1 and whose width is x + 11?

shtirl [24]

You would foil (x+1)(x+11)

x^2 + 12x + 11

8 0

4 years ago