Building a has 7,500 ft of an office space for 320 employees building b has 9,500 square feet of office space for 370 employees which building has more square feet of space per employee explain

Answer:

Option B

Step-by-step explanation:

The complete question is attached

As we can see in the image , ABC is a right angle triangle

Thus as per Pythagorean theorem, to find line AB

AB2 = 322 + 242

AB2 = 1024 + 576

AB2 = 1600

Taking square root of both the sides, we get –  

AB = √1600

AB = 40

The mid point of AB = AB/2 = 40/2 = 20

Using the property of similar triangles, we found that the value of n is 5.

This is the length of the side RQ.

What are similar triangles?

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are similar. Similar figures are described as items with the same shape but varying sizes, such as two or more figures. Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.

The given triangles are both right triangles.

So they can be considered similar triangles.

One of the properties of similar triangles is that the ratio of corresponding sides is always equal.

Then we can write for the given triangles,

  BA/RQ = AC/QS

 2/n = 4/10

n = 2 * 10 / 4 = 5

Therefore using the property of similar triangles, we found that the value of n is 5.

To learn more about similar triangles, follow the link.

https://brainly.com/question/29782809

#SPJ1

Answer:

12

Step-by-step explanation:

From the above-given multiples of 4 and 6 is the multiple 12 is the smallest common multiple. Therefore, LCM. of 4 and 6 is 12.

75cm²

Explanation:

10 times 15 is 150 and since it is a triangle you divide in half so the answer is 75. And in this case the 18 is not needed.

Answer:

75cm²

Step-by-step explanation:

The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. But in this case, there are three sides.

To find the area of a triangle with 3 sides given as 10, 15, and 18, we assume that a = 10, b = 15, and c = 18.

Then the semi-perimeter is, s = (a + b + c)/2 = (10 + 15 + 18)/2 = 21.5. We will find the area of the triangle using Heron's formula.

A = √[s(s-a)(s-b)(s-c)]

= √[8(21. 5-10)(21.5 -15)(21. 5-18)]

= √[21.5 × 11.5 × 6.5 × 3.5]

= √(5625)

≈ 7.5

Answer:

10.667 yards

Step-by-step explanation:

Answer:

X > 8

Step-by-step explanation:

Using the keywords greater than helps you.

Answer:

a. $250

b. 50x + 200

Step-by-step explanation:

a. For the first month, you have to account for the cost to start which is $200, and the adition of the $50 for each month.

b. the 200 is only a one time fee so you add it on to months(x)

Answer:

a. 250$

b. 200+50x

Step-by-step explanation:

#1 What is the total cost to use the cell phone plan for one month?

GIVEN:

Startup price=$200

Charge per month=50$

SOLVE:

The total cost for one month will be the startup price+ charging price for one month.

200+50=250$

#2 What is the total cost for x months?

The total cost for x months will be the startup price+charging price for x months.

200+50x

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8/12, 9/12

Step-by-step explanation:

2/3 = 8/12

3/4 = 9/12

Answer:

-4 < n ≤ 5

Step-by-step explanation:

Since the left inequality is an open circle and going to the right, the sign will be >

Since the right inequality sign is a closed circle and is going left, the sign would be ≤

The open circle ends at -4 so, n > -4

The closed circle ends at 5 so, n ≤ 5

You combine them and it looks like this:

-4 < n ≤ 5

Answer:

the top and bottom ones

Step-by-step explanation:

Answer: 0.09

Step-by-step explanation:

;)

Answer:

400 students voted in the election

Step-by-step explanation:

Given:

Total number of votes received by Priscilla = 240

This was 60% of the students who voted in the election.

To find: Total number of students who voted in the election

Solution:

Total number of votes received by Priscilla = 60% of Total number of students who voted in the election

240 = 60% of Total number of students who voted in the election

240 = [tex]\frac{60}{100}[/tex] × Total number of students who voted in the election

So,

Total number of students who voted in the election [tex]=\frac{240(100)}{60}=400[/tex]

Answer:

4.018secs

Step-by-step explanation:

Given the height reached by the test rocket by the expression  

h(t) = -16t^2 +116t + 101 gives the

The rocket will reach the ground when h(t) = 0

Substitute h(t) = 0 into the expression

0 = -16t^2 +116t + 101

Multiply through by -1

16t^2 -116t - 101 = 0

Factorize using the general formula

t = 116±√(116)²-4(16)(-101)/4(16)

t = 116±√(13,456+6,464)/64

t = 116±√(19,920)/64

t = 116±141.138/64

t = 116+141.138/64

t = 257.138/64

t = 4.018secs

Hence it will take the rocket 4.018secs to reach the ground

Answer:

It should be b

Step-by-step explanation:

Given:

The figure of two quadrilaterals.

In [tex]ABCD,AB=18,BC=20,CD=22,AD=24[/tex]

In [tex]EFGH,EF=27,FG=30,GH=34, EH=36[/tex]

To find:

Whether the figures are congruent, similar or neither.

Solution:

Ratio of corresponding sides are:

[tex]\dfrac{AB}{EF}=\dfrac{18}{27}[/tex]

[tex]\dfrac{AB}{EF}=\dfrac{2}{3}[/tex]

Similarly,

[tex]\dfrac{BC}{FG}=\dfrac{20}{30}[/tex]

[tex]\dfrac{BC}{FG}=\dfrac{2}{3}[/tex]

[tex]\dfrac{CD}{GH}=\dfrac{22}{34}[/tex]

[tex]\dfrac{CD}{GH}=\dfrac{11}{17}[/tex]

And,

[tex]\dfrac{AD}{EH}=\dfrac{24}{36}[/tex]

[tex]\dfrac{AD}{EH}=\dfrac{2}{3}[/tex]

Clearly, [tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{AD}{EH}\neq \dfrac{CD}{GH}[/tex].

All corresponding sides are not proportional.

Therefore, the figures are neither similar nor congruent. Hence, third option is correct.

Answer:the pants are 26 dollars

Step-by-step explanation:

20.00+30%= 26.00

30%=6.00

Answer:

4m^5

Step-by-step explanation:

Answer:

4m^5

Step-by-step explanation:

Answer:

0.75

Step-by-step explanation:

-3-1.5/-4-2

-4.5/-4-2

-4.5/-6

0.75

Step-by-step explanation u just have to add them all the same ok

Answer: A. 5

Step-by-step explanation:

Answer:

The proposition is true.

Step-by-step explanation:

Now we proceed to demostrate that expression given is true by algebraic means:

1) [tex]\frac{x^{-1}+y^{-1}}{x^{-1}}+\frac{x^{-1}-y^{-1} }{y^{-1}}[/tex] Given

2) [tex]\frac{y^{-1}\cdot (x^{-1}+y^{-1})+x^{-1}\cdot (x^{-1}-y^{-1})}{x^{-1}\cdot y^{-1}}[/tex]   [tex]\frac{a}{b} + \frac{c}{d} = \frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]

3) [tex]\frac{x^{-1}\cdot y^{-1}+y^{-2}+x^{-2}-x^{-1}\cdot y^{-1}}{x^{-1}\cdot y^{-1}}[/tex] Distributive property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

4) [tex]\frac{x^{-2}+y^{-2}}{(x\cdot y)^{-1}}[/tex] Commutative, associative and modulative properties/Existence of additive inverse/[tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

5) [tex][(x\cdot y)^{-1}]^{-1}\cdot (x^{-2}+y^{-2})[/tex] Commutative property/Definition of division

6) [tex](x\cdot y)\cdot (x^{-2}+y^{-2})[/tex]         [tex](x^{-1})^{-1}[/tex]

7) [tex]x^{-1}\cdot y + x\cdot y^{-1}[/tex] Distributive property/Associative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex](x^{-1}\cdot y^{-1})\cdot y^{2} + (x^{-1}\cdot y^{-1})\cdot x^{2}[/tex]  Modulative property/Existence of additive inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

9) [tex](x^{-1}\cdot y^{-1})\cdot (x^{2}+y^{2})[/tex] Distributive property

10) [tex](x\cdot y)^{-1}\cdot (x^{2}+y^{2})[/tex] [tex]a^{b}\cdot c^{b} = (a\cdot c)^{b}[/tex]

11) [tex]\frac{x^{2}+y^{2}}{x\cdot y}[/tex] Commutative property/Definition of division/Result

Answer: it’s B I’m positive

Step-by-step explanation:

Answer:

it 20 chews 5 over 20 chews 10

= 20! / (20-5)! times 5!  over 20! / (20-10)! times 10!

=15504/ 184756= .08 or 8%

Step-by-step explanation:

have a good day/night

may i please have a branllliest

sorry if wrong :(

We can easily silve it by splitting the middle term or by using the discriminate method *

x 2 +3x -70

x2 + 10x - 7x -70

x(x + 10) -7(x +10)

(x / 7) ( x + 10)

x = 7 or -10

Answer:

Top first one is y=-3x-3.

Step-by-step explanation:

I know you will be able to figure out the rest. I will explain. The problem if I just give you the answers are you won’t be actually able to solve it when you encounter it on like a test or something.

The explanation:

m=rise/run.

c=y intercept/ where it is on the y-axis.

if you go down on the y axis, it would negative. The opposite will be true if you go up.

I also think it is supposed to be y=Mx+b instead of y=Mx+c.

hopefully that made sense.

Answer and Step-by-step explanation:

We are given the side lengths, so all we have to do is multiply each rectangle's lengths and widths to get their areas, then add them together,

Top rectangle Area:

4 × 7 = 28

Bottom rectangle Area:

6 × 8 = 48

Now, we add them together.

Total Area:

28 + 48 = 76

The total area of the figure is 76 [tex]units^{2}[/tex].

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