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PSYCHO15rus [73]
2 years ago
5

True or false A rhombus is an isosceles trapezoid

Mathematics
2 answers:
Elina [12.6K]2 years ago
7 0

Answer:

false

Step-by-step explanation:

Butoxors [25]2 years ago
3 0

Answer:

  • False

Step-by-step explanation:

A rhombus is an isosceles trapezoid.

  • False. Isosceles trapezoid has only one pair of congruent sides. Rhombus has 4 congruent sides.
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If a,b,c are all non-zero numbers and a+b+c=0, prove that
Butoxors [25]

<em>Given - a+b+c = 0</em>

<em>To prove that- </em>

<em>a²/bc + b²/ac + c²/ab = 3</em>

<em>Now we know that</em>

<em>when x+y+z = 0,</em>

<em>then x³+y³+z³ = 3xyz</em>

<em>that means</em>

<em> (x³+y³+z³)/xyz = 3 ---- eq 1)</em>

<em>Lets solve for LHS</em>

<em>LHS = a²/bc + b²/ac + c²/ab</em>

<em>we can write it as LHS = a³/abc + b³/abc + c</em><em>³</em><em>/abc</em>

<em>by multiplying missing denominators,</em>

<em>now take common abc from denominator and you'll get,</em>

<em>LHS = (a³+b³+c³)/abc --- eq (2)</em>

<em>Comparing one and two we can say that</em>

<em>(a³+b³+c³)/abc = 3</em>

<em>Hence proved,</em>

<em>a²/bc + b²/ac + c²/ab = 3</em>

6 0
2 years ago
What is the area of the figure?
Vikentia [17]


1) Striangle = 1/2 * (12-8) * 4 = 1/2 * 4 * 4 = 8 km^2

2) Srectangle = 4 * 8 = 32 km^2

3) Sfigure = 8 + 32 = 40 km^2

Number C

4 0
3 years ago
Please answer this!! (In your own words.) The best answer gets brainliest!<br><br> Find the area:
Wittaler [7]

Answer:

<em>97.5 sq. ft.</em>

Step-by-step explanation:

Im presuming the question asks to find area of the shaded region.

First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.

<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>

Now, we find respective areas.

Area of rectangle:

length * width = (5+10) * (12) = 15 * 12 = 180

Area of Small Triangle (white):

A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5

Area of Large Triangle (white):

A = (1/2) * base * height = (1/2) * 10 * (12) = 60

Now, we find area of shaded region:

<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>

<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>

3 0
3 years ago
Read 2 more answers
Find the volume of the following solid. The solid between the cylinder ​f(x,y)equals=e Superscript negative xe−x and the region
PilotLPTM [1.2K]

It is hard to comprehend your question. As far as I understand:

f(x,y) = e^(-x)

Find the volume over region R = {(x,y): 0<=x<=ln(6), -6<=y <= 6}.

That is all I understood. It would be easier to understand with a picture or some kind of visual aid.

Anyways, to find the volume between the surface and your rectangular region R, we must evaluate a double integral of f on the region R.

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy

Now evaluate,

\int_{0}^{ln(6)}e^{-x}dx

which evaluates to,  5/6 if I did the math correct. Correct me if I am wrong.

Now integrate this w.r.t. y:

\int_{-6}^{6}\frac{5}{6}dy = 10

So,

\iint_{R}^{ } e^{-x}dA=\int_{-6}^{6} \int_{0}^{ln(6)} e^{-x}dx dy = 10

7 0
3 years ago
Please help!
pishuonlain [190]

Answer:

0.03125 inches 1 hour is the anwser

this also involves the conversion factor

hope this helps!!

8 0
3 years ago
Read 2 more answers
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