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3 years ago

To solve a problem, we often _________ the given information into algebraic expressions and equations.

Mathematics

1 answer:

bulgar [2K]3 years ago

4 0

$\frac{-b\pm\sqrt{b^2-4ac}}{4a}$

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What is the area of rhombus ABCD? Enter your answer in the box. Do not round at any steps. put the answer in units²

AlladinOne [14]

Answer:

Therefore the Area of Rhombus ABCD is 36 unit².

Step-by-step explanation:

Given:

ABCD is a Rhombus

A = (-1,0)

B = (5,-3)

C = (-1,-6)

D = (-7 ,-3)

To Find:

Area of Rhombus ABCD = ?

Solution:

We know that Area of Rhombus is given as

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times d_{1}\times d_{2}$

Where ,

d₁ and d₂ are the Diagonals.

We have,

Diagonals as AC and BD,

Using Distance Formula we get

$l(AC) = \sqrt{((x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} )}$

Substituting coordinates A and C we get

$l(AC) = \sqrt{((-1-(-1))^{2}+(-6-0)^{2} )}=\sqrt{36}\\l(AC)=6\ unit$

Similarly for BD we have,

$l(BD) = \sqrt{((5-(-7))^{2}+(-3-(-3))^{2} )}=\sqrt{144}\\l(BD)=12\ unit$

Now Substituting AC and BD in Formula we get

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times AC\times BD$

$\textrm{Area of Rhombus}=\dfrac{1}{2}\times 6\times 12=36\ unit^{2}$

Therefore the Area of Rhombus ABCD is 36 unit².

6 0

3 years ago

one estimate for the rate at which natural process can replace topsoil that has been eroded is about 2 millimeters per year at t

bulgar [2K]

Answer:

50 years

Step-by-step explanation:

First convert millimeters to centimeters. 2 millimeters is equivalent to 0.2 centimeters. Then divide 10 by 0.2. Answer should be 50

7 0

3 years ago

Ariana earns 20% commission as a salesperson. She sold a ceramic vase that cost $78. How much commission did Ariana earn?

frutty [35]

Answer:

The answer is 15.6.

Step-by-step explanation:

20% of $78 = 15.6

Please mark as brainliest if this helped!

8 0

3 years ago

Which phrase represents the algebraic expression 5x - 9? the product of five times a number and nine the difference of nine time

svlad2 [7]

Answer:

the answer is D

Step-by-step explanation:

Its okay if you still get it right but trust me its right.

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3 years ago

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A clothing store buys jeans for $12 and marks them up 200% before selling them to customers. What is the selling price of the je

Ganezh [65]

Answer:

$24

Step-by-step explanation:

200% of 12 is 24

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