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Jet001 [13]
3 years ago
14

The initial price of a home entertainment system is $34,000. It is discounted by 10% and then by a further 26%. Find the price o

f the item.
The price of the item is $______
Mathematics
1 answer:
Softa [21]3 years ago
7 0

The price of the item is $22,644

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To which subsets of the real numbers does 22 belong to?
Vedmedyk [2.9K]
Whole number and integer
8 0
3 years ago
Read 2 more answers
What is the area of the largest rectangle that can be inscribed in an isosceles triangle with side lengths $8$, $\sqrt{80}$, and
e-lub [12.9K]
First let's solve the general case for an isosceles triangle of base 2 and height k. If the triangle is drawn so the base is on the x-axis and the apex is on the y-axis, the equation for the line containing the right side is
  y = -k(x-1)
Then a rectangle with x-dimension w will have an area that is the product of this width and the height y = -k((w/2)-1).
  area = w(-k(w/2 -1)) = (-k/2)w² +kw
The derivative of area with respect to w will be zero where the area is a maximum:
  d(area)/dw = 0 = -kw +k
  w = 1 . . . . . . add kw and divide by k
Using the formula for area, we find
  area = 1(-k(1/2-1)) = k/2
This value is 1/2 the total area of the triangle we started with.

If the side lengths of your triangle are 8, √80, and √80, the height will be given by the Pythagorean theorem as
  h = √((√80)² - (1/2·8)²) = √(80-16) = 8
Your triangle's area will be
  triangle area = (1/2)(8)(8) = 32

The maximum area of the inscribed rectangle will be half this value,
  16 square units

4 0
3 years ago
What is the greatest common factor of 9x^{2}y9x 2 y and 5x^{4}y^{2}5x 4 y 2 ?
Musya8 [376]
ANSWER

The greatest common factor is
{x}^{2} y

EXPLANATION

We want to find the greatest common factor of

9 {x}^{2} y

and

5 {x}^{4}  {y}^{2}

The prime factorizations are;


9 {x}^{2} y =  {3}^{2}  \times  {x}^{2}  \times y


and


5 {x}^{4}  {y}^{2}  = 5 \times  {x}^{4}  \times  {y}^{2}


The product of the least powers of the common factors is the greatest common factor.


=  {x}^{2} y
7 0
3 years ago
Scott makes a scale drawing of a rectangular park. He uses the scale 5 centimeters: 3 meters. The length of his drawing is 20 ce
Svet_ta [14]

Answer:

The area of the park is 108\ m^{2}

Step-by-step explanation:

we know that

The scale drawing is \frac{5}{3}\frac{cm}{m}

step 1

Find the actual length of the rectangular park

Divide the length in the drawing by the scale drawing

20/(5/3)=12\ m

step 2

Find the actual width of the rectangular park

Divide the width in the drawing by the scale drawing

15/(5/3)=9\ m

step 3

Find the area of the park

A=(12)(9)=108\ m^{2}

5 0
3 years ago
Ms. Jones is baking a cake for her students. She needs 2/3 cup of brown sugar to make the cake. Right now, she has 3/4 cup of br
ch4aika [34]
2/3= 0.6667 which you can figure out by 2÷3
3/4= 0.75 which you can figure out by 3÷4
because 0.75 is greater than 0.6667 she has enough to make the cake.
5 0
3 years ago
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