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beks73 [17]
3 years ago
5

A rhombus is inscribed in a rectangle that is w meters wide with a perimeter of 24 m. Each vertex of the rhombus is a midpoint o

f a side of the rectangle. Express the area of the rhombus as a function of the​ rectangle's width.
Mathematics
1 answer:
fgiga [73]3 years ago
7 0
24 that's your answer!!!!!!!
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Three times four, plus two to the third power
Nadya [2.5K]
It is 20.because 3×4+2cubed is 20
^
=12 ^
2×2×2=8 so 8+12=20
8 0
3 years ago
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Hey Mahfia, please help! Find an equation in standard form for the hyperbola with vertices at (0, ±10) and asymptotes at
Dafna1 [17]

Answer:

\huge\boxed{  \red{ \boxed{ \tt{ \frac{ {y}^{2} }{ {10}^{2} }  -  \frac{ {x}^{2} }{ {12}^{2} }  = 1}}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • conic sections
  • PEMDAS
<h3>tips and formulas:</h3>
  • \sf hyperbola \:equation :  \\  \sf  \frac{ {x}^{2} }{ {a}^{2} }   -  \frac{ {y}^{2} }{ {b}^{2} }  = 1
  • vertices of hyperbola:(±a,0) and (0,±b) if reversed
  • \sf \: asymptotes :  \\ y =   \pm\frac{b}{a} x
<h3>given:</h3>
  • vertices: (0,±10)
  • the hyperbola equation is inversed since the vertices is (0,±10)
  • asymptotes:\pm \frac{5}{6}x
<h3>let's solve:</h3>
  • the asymptotes are in simplest and we know b is ±10

according to the question

  1. y =  \sf  \frac{5 \times 2}{6 \times 2} x \\ y =  \frac{10}{12} x

therefore we got

  • a=12
  • b=10

note: the equation will be inversed

let's create the equation:

  1. \sf substitute \: the \: value \: of \: a \: and \: b :  \\  \sf  \frac{ {y}^{2} }{ {10}^{2} }  -  \frac{ {x}^{2} }{ {12}^{2} }  = 1

3 0
3 years ago
A common size for floor tiles is 1 square foot in area. how many square inches (in2) are in a square foot (ft2)?
Komok [63]

There are 144 square inches in a square foot.

<u><em>Explanation</em></u>

A common size for floor tiles is 1 square foot in area.

We know that, <u> 1 foot = 12 inches. </u>

So, 1 square foot = (1 foot × 1 foot)                                                                                 = (12 inches × 12 inches ) = 144 square inches.

So, there are 144 square inches in a square foot.

6 0
3 years ago
The area of a trapezium is given by the formula
77julia77 [94]

Answer:

A = 1/2h(x +y)

a=1/2h x+1/2h y

a=h+x+y

x=h+y+a

I'm not absutly sure this is right but i gave it my best effort

Hope This Helps!!!

3 0
2 years ago
Write the word sentence as an inequality the number x is no less than -4
vladimir1956 [14]

Answer:

Translate. .

Solve—divide both sides by 12. .

Simplify. .

Write in interval notation. .

Graph on the number line. .

Step-by-step explanation:

Translate and solve. Then write the solution in interval notation and graph on the number line.

Thirty less than x is at least 45.

Solution

Translate. .

Solve—add 30 to both sides. .

Simplify. .

Write in interval notation. .

Graph on the number line. .

8 0
3 years ago
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