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konstantin123 [22]
2 years ago
5

Two rectangular properties share a common side. Lot A is 33 feet wide and 42 feet long.

Mathematics
1 answer:
s344n2d4d5 [400]2 years ago
7 0

Answer:

The width of lot B is 11 feet, so option A is correct.

Step-by-step explanation:

Given:

  • Two rectangular properties share a common side.  
  • Lot A is 33 feet wide and 42 feet long.  
  • The combined area of the lots = 1,848 square feet.  

To find:

How many feet wide is Lot B?  

Solution:

we know that, area of a rectangle is length x breadth

Then area of lot A = 33 x 42 = 1386 square feet.

And area of lot B = width x 42

Now, we are given that, total area = 1848  

area of lot A + area of lot B = 1848  

1386 + width x 42 = 1848  

width x 42 = 1848 – 1386  

width x 42 = 462  

width =\frac{42}{462}

width = 11

Hence, the width of lot B is 11 feet, so option A is correct.

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Which compound most likely contains polar covalent bonds?<br> NaCl<br> AlF3<br> Br2<br> NF3
belka [17]

Answer: The correct answer is NF_3

Explanation:

In NF_3 molecule, there are three bond pairs and one lone pair present in the molecule. In a molecule, lone pair present on the nitrogen atom will have a dipole moment in upward direction where as total dipole moment formed by three fluorine atoms will be more in magnitude and it will be directed in downward direction which means that the net dipole moment will be in downward direction. As shown in image attached.

Hence, covalent bond present between nitrogen and fluorine will become polar in nature.

So, the correct answer is NF_3.

7 0
2 years ago
Read 2 more answers
Fiona started with 15/ 18 of a piece of pie. then she added another piece which was 13/6. how much did she have in total
PolarNik [594]

First piece of pie = 15/18

Second piece of pie = 13/6.

We need to find the total value.

In order to find the total value, we need to add both fractions.

Total value = First piece of pie + Second piece of pie.

=15/18 + 13/6.

In order to add those fractions, we need to find the common denominators.

We have denominators 18 and 6.

Common denominator of 18 and 6 is 18.

So, we need to multiply second fraction 13/6 by 3 in top and bottom to make the denominator of second fraction equals 18.

Therefore, 15/18 + 13/6 = 15/18 + 13*3/6*3

=15/18 +39/18.

=(15+39)/18.

=54/18.

Therefore, Fiona had 54/18 in total.

7 0
2 years ago
Marty and Ethan both wrote a function, but in different ways.
marishachu [46]

<em><u>Question:</u></em>

Marty and Ethan both wrote a function, but in different ways.

Marty

y+3=1/3(x+9)

Ethan

x y

-4 9.2

-2 9.6

0 10

2 10.4

Whose function has the larger slope?

1. Marty’s with a slope of 2/3

2. Ethan’s with a slope of 2/5

3. Marty’s with a slope of 1/3

4. Ethan’s with a slope of 1/5

<em><u>Answer:</u></em>

Marty’s with a slope of 1/3 has the larger slope

<em><u>Solution:</u></em>

<em><u>Given that Marty equation is:</u></em>

y + 3 = \frac{1}{3}(x+9)

<em><u>The point slope form is given as:</u></em>

y - y_1 = m(x-x_1)

Where, "m" is the slope of line

On comapring both equations,

m = \frac{1}{3}

<em><u>Ethan wrote a function:</u></em>

Consider any two values from the table we have;

(0, 10) and (2, 10.4)

<em><u>The slope is given by formula:</u></em>

m = \frac{y_2-y_1}{x_2-x_1}

From above two points,

(x_1, y_1) = (0, 10)\\\\(x_2, y_2) = (2, 10.4)

Therefore,

m = \frac{10.4-10}{2-0}\\\\m = \frac{0.4}{2} \\\\m = 0.2

Thus we get,

\text{Slope of Ethan} < \text{Slope of Marty}

Therefore, Marty’s with a slope of 1/3  has the larger slope

4 0
2 years ago
Read 2 more answers
We want to estimate the population mean within 5, with a 99% level of confidence. the population standard deviation is estimated
pashok25 [27]
A sample size of 60 is required.

We use the formula
n=(\frac{z*\sigma}{E})^2

We first find the z-score associated with this level of confidence:
Convert 99% to a decimal:  99/100 = 0.99
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Subtract from 1:  1-0.005 = 0.995

Using a z-table (http://www.z-table.com) we see that this value is equally distant from 2.57 and 2.58; therefore we will use 2.575:

n=(\frac{15(2.575)}{5})^2=59.68\approx60
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2 years ago
The table shows ordered pairs of the function y = 16 + 0.5x . Which ordered pair could be the missing values represented by (x,
lawyer [7]

The <u><em>correct answer</em></u> is:

(8, 20).

Explanation:

We can substitute the values for x in the equation and see if they equal y:

y=16+0.5(0) = 16+0 = 16 ≠ 18. This is not the correct option.

y=16+0.5(5) = 16+2.5 = 18.5 ≠ 19.5. This is not the correct option.

y=16+0.5(8) = 16+4 = 20. This is the correct option.

3 0
2 years ago
Read 2 more answers
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