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jok3333 [9.3K]
3 years ago
8

A parking lot has 916 parking spaces that are shaped like parallelograms. The base of each space is 10 feet, and the height of e

ach space is 18.5 feet. What is the total area of the parking spaces?
Mathematics
1 answer:
Luda [366]3 years ago
6 0

Answer:

169,460 ft²

Step-by-step explanation:

The formula for the area of a parallelogram is:

A = bh, where b = measure of the base and h = measure of the height

Given that each space is 10 ft x 18.5 ft, each space has an area:

A = (10)(18.5) = 185 ft²

Since there are 916 total parking spaces, we can take the area of one and multiply by the total amount:

185 x 916 = 169,460 ft²

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a cog company produces 20 cogs a day, 4 of which are defective. Find the probability of selecting 4 cogs from the 20 produced wh
Simora [160]

Answer:

1/4845

Step-by-step explanation:

The probability of selecting a defective cog first is

1/5

The second cog is

3/19

The third cog is

1/9

And the fourth cog is

1/17

Multiplying these together we get

1/5 * 3/19* 1/9 * 1/17  = 1/4845

7 0
3 years ago
Six students are working to simplify the expression shown.
KatRina [158]

Answer:

First one Equivalent but not simplified fully (Can combine the two y terms)

Second: Equivalent but not simplified fully (Can combine the two x^2 terms)

Third: Equivalent and simplified fully

Fourth: Not equivalent (y term is not correct)

Fifth: Not equivalent (x^2 term is not correct and the constant terms [ones without variables] can be combined)

Sixth: Not Equivalent (y term is not correct and the constant terms can be combined)

Step-by-step explanation:

You just need to know if two terms have the same variable they can be added or subtracted.  But if it is say x and x^2 it cannot, they need to be brought to the same power as well.  or if there is a term with xy, it can only be added and subtracted to other xy terms

7 0
4 years ago
Read 2 more answers
Multiply
Dmitriy789 [7]

Answer:

The product of given two fractions is

\frac{4(x+2)}{(x-1)(x+3)}

Therefore \frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}

Step-by-step explanation:

Given expression is  

\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}

To find the product of two given fractions as below :

\frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{2(5)}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}

=\frac{10}{x(x-1)}\times \frac{2x(x+2)}{5(x+3)}

=\frac{20x(x+2)}{5x(x-1)(x+3)}

=\frac{20x^2+40x}{(5x^2-5x)(x+3)} (multiply each term in the factor to each term in the another factor )

=\frac{20x^2+40x}{5x^3+15x^2-5x^2-15x}  ( adding the like terms )

=\frac{20x^2+40x}{5x^3+10x^2-15x}

=\frac{5x(4x+8)}{5x(x^2+2x-3)}

=\frac{4(x+2)}{(x-1)(x+3)}

Therefore \frac{2(2+3)}{x(x-1)}\times \frac{4x(x+2)}{10(x+3)}=\frac{4(x+2)}{(x-1)(x+3)}

Therefore the product of given two fractions is \frac{4(x+2)}{(x-1)(x+3)}

6 0
3 years ago
Simplify the expression by combining like terms.
Tju [1.3M]

Answer:

8x + 13

Step-by-step explanation:

"Like terms" means the same kind of algebraic expression...the 6x and the 2x are "like terms" because they both have an x in them. The 9 and the 4 are both constants, which means they are plain numbers. So 6x and 2x is 8x .

9+4 is 13 just like elementary school.

So all together,

6x + 9 + 2x + 4

6x + 2x + 9 + 4

8x + 13

We can rearrange the terms because the problem has all addition in between the terms.

4 0
3 years ago
If three points are coplanar they are also collinear true or false
Elza [17]

Answer:

FALSE !

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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