Another real estate agent sold a house for $315,000 last week. If her commission is 1.25% of the selling price of the home, find the amount of her commission

Check the picture below.

Mind you that we have four 30-60-90 triangles.

The area of given rectangle before the piece was removed is 65 cm² approximately.

The area of a rectangle (A) is the product of its length 'a' and width or breadth 'b'. So, Area of Rectangle = (a × b) square units.

In Δ DEF,

∠EDF + ∠DEF + ∠DFE = 180° (angle sum property)

30° + 90° + ∠DFE = 180°

∠DFE = 60°

[tex]cos F = \frac{EF}{FD}(\frac{base}{hypotenuse}\\ \\ cos(60) = \frac{5}{FD}\\ \\FD = 5 * 2= 10[/tex]

[tex]cos D = \frac{ED}{FD}(\frac{base}{hypotenuse}\\ \\ cos(30) = \frac{ED}{10}\\ \\ED = \frac{\sqrt{3} }{2} * 10= 5\sqrt{3}[/tex]

In Δ AED,

∠AED + ∠EAD + ∠EDA = 180° ( angle sum property)

∠AED + 90° + 30°= 180°

∠AED = 60°

[tex]sinE = \frac{AD}{DE} (\frac{perpendicular}{hypotenuse}\\ \\sin(60) = \frac{AD}{5\sqrt{3} } \\\\AD= \frac{\sqrt{3} }{2}*5\sqrt{3} \\\\AD = 7.5[/tex]

In Δ DFC,

∠FDC + ∠DCF + ∠DFC = 180° (angle sum property)

30° + 90° + ∠DFC = 180°

∠DFC = 60°

[tex]sinF = \frac{DC}{DF} \\\\sin(60) = \frac{DC}{10}\\ \\\frac{\sqrt{3} }{2} *10 = DC\\\\DC = 5\sqrt{3}[/tex]

Area of rectangle = length * breadth = xy = AD * DC = [tex]7.5 * 5\sqrt{3} = 64.95[/tex]

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Step-by-step explanation:

I think y axis and x axis shows the light colour not sure about it

Domain:-

Range:-

Yes it's a function as domains have unique range

Answer:

Domain = Planet

Range = number of solar congress reps

Function = YES (many-to-one)

Step-by-step explanation:

Domain : input values ⇒ planet

Range : output value ⇒ number of solar congress reps

Function : A function relates each element of a set with exactly one element of another set (possibly the same set).

One-to-many is not a function.

Many-to-one is a function.

From inspection, we can see that every element in the domain is related to exactly one element in the range.  Both Venus and Neptune are related to 18.  So this is a many-to-one function.

scale factor = 1.25

30 : 24 = 1.25

or

35 : 28 = 1.25

The scale factor of this parallelogram is 5/4

In this question, we need to find the scale factor;

This is a factor to which a certain unit is multiplied or divided by. In this question, we have to find the scale factor first in order to know the missing side of the parallelogram.

[tex]\frac{30}{24} = \frac{5}{4}[/tex]

We have check for one side, let us find the other side and compare

[tex]\frac{35}{28}=\frac{5}{4}[/tex]

The scale factor of this parallelogram is 5/4

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Answer:

Step-by-step explanation:

The opposite of 945 is -945.

the opposite of -945 is 945.

The opposite of the opposite of 945 is 945.

Please give Brainliest!

Answer:

60

Step-by-step explanation:

Get that A.

Answer:

Step-by-step explanation:

1 pound of potato salad costs 2.96

0.75 pounds of potato salad costs x

1/0.75 = 2.96/x            Cross multiply

x = 0.75 * 2.96

x = 2.22  

0.75 pounds of potato salad costs 2.22 dollars.

Answer:

ok so he has 25 minutes in total and then we need to subtract the time hes alredy used so

25-4=21

so he has 21 minutes to do homework

Hope This Helps!!!

Answer:

Step-by-step explanation:

part a is -6

part b is -7.5

Answer:

Step-by-step explanation:

Part A:

warmer than => -

=> 7-13=-6

Part B:

Hours between 11 pm and 5 pm = 6.

6*(-1,25)=-7,5

Answer:

a-24, b-36, c-36

Step-by-step explanation:

a) 4(6)=24

b) 5(6)+6=36

c) (6)^2=36

Answer:

a) c -24

b) a - 36

c) d - 36

Step-by-step explanation:

a) When x = 6, what is the value of 4x?

4x

4(6) = 24

b) When x = 6, what is the value of 5x + x

5x + x

5(6) + 6

30 + 6

36

c) When x = 6, what is the value of x^2?

x^2

6^2

36

Hope this helps!

Answer:

19/31

Step-by-step explanation:

since there are 15 squares and 4 circles, both is 19

and since the total pieces 31

so the probability that he will grab a square or circle is 19/31

Answer:

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

Step-by-step explanation:

Answer:

The answer is in the picture :)

Step-by-step explanation:

Using an inequality, it is found that the maximum number of desks that Bella can assemble is of 4.

We consider that:

Hence:

[tex]35.5 + 45.5x < 240[/tex]

Then, solving the inequality:

[tex]x < \frac{240 - 35.5}{45.5}[/tex]

[tex]x < 4.49[/tex]

Considering the number of desks has to be an integer, maximum number of desks that Bella can assemble is of 4.

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Answer:

x = 7, y = 2

Explanation:

equations given:

x + 7y = 21

x + 4y = 15

make "x" the subject:

x + 7y = 21

x = 21 - 7y .........equation 1

x + 4y = 15

x = 15 - 4y .......equation 2

Solving both the equations simultaneously:

15 - 4y = 21 - 7y

-4y + 7y = 21 - 15

3y = 6

y = 6 ÷ 3

y = 2

If y is 2

Then x = 21 -7y;

x = 21 - 7(2)

x = 21 - 14

x = 7

x + 7y= 21

7 goes to RHS = X+ y = 21/7-3

x + 4y = 15

4 goes to RHS= x+y = 15/4 = 3.75

Answer:

If it INCREASES then it is going closer towards zero since it is negative. So subtract 8 from (-7) and you get -15

so D is your answer

Answer:

do u mean factorization​?

if so, In math, factorization is when you break a number down into smaller numbers that, multiplied together, give you that original number. When you split a number into its factors or divisors, that's factorization. For example, factorization of the number 12 might look like 3 times 4.

Step-by-step explanation:

Hope this helps!

Answer:  it   an operation of resolving a quantity into factors; also : a product obtained by factorization

Step-by-step explanation:  hope i help

Given :-

To Find :-

Solution :-

Given equation is ,

[tex] 3x + 6y = 24 [/tex]

To find the y intercept set x = 0 , we have ,

[tex] 3(0) +6y = 24 [/tex]

Simplify ,

[tex] 6y = 24[/tex]

Divide both sides by 6 ,

[tex] y = 4 [/tex]

Hence the y intercept is 4 .

[tex]\rule{200}2[/tex]

Now again to find x intercept , set y = 0

[tex] 3x +6(0)= 24[/tex]

Simplify ,

[tex] 3x = 24 [/tex]

Divide both sides by 3 ,

[tex] x = 8 [/tex]

Hence the x intercept is 8 .

Answer:

$166.71

Step-by-step explanation:

210.19 - 43.48 = 166.71

Step-by-step explanation:

a² + b²

difference of two square

= (a + b)(a - b)

Answer:

see explanation

Step-by-step explanation:

(a + b)(a - b)

each term in the second factor is multiplied by each term in the first factor, that is

a(a - b) + b(a - b) ← distribute parenthesis

= a² - ab + ab - b² ← collect like terms

= a² - b²

Answer: It is not the solution, the solution for side one is 15, and the solution for side 2 is 18.

Answer:

B. 1/5

Step-by-step explanation:

Start at point (1,-2)

Then, go right 1 and up 5 to reach point (2,3)

Answer:

Ans=B.1

Step-by-step explanation:

hope this helps

Answer:

18

Step-by-step explanation:

Answer:

The original price was $100

Step-by-step explanation:

[tex]\frac{60 dollars}{x} = \frac{60 percent}{100 percent} \\x = \frac{100percent*60dollars}{60 percent}\\ x = 100 dollars[/tex]

Answer:

1/2  in fraction each kid will get 0.50 in decimal and 50% in percent

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

Answer:

−5a+6

Step-by-step explanation:

hope this is right

Total cards signed:-

[tex]\\ \tt\longmapsto \dfrac{1}{4}+\dfrac{3}{5}[/tex]

[tex]\\ \tt\longmapsto \dfrac{5+12}{20}=\dfrac{17}{20}[/tex]

Cards left:-

[tex]\\ \tt\longmapsto 80-17/20(80)=80-68=12[/tex]

The maturity value on the bond is equal to $493.93

Data;

This is calculated as the sum of face value and interest.

[tex]M.V = F.V + I[/tex]

Let's solve for the interest on the bond

[tex]I = PRT\\I = 473 * 0.085 * 190/365\\I = 20.93[/tex]

Let's add this up and solve

[tex]M.V = 473 + 20.93\\M.V = 493.93[/tex]

The maturity value on the bond is equal to $493.93

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