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3 years ago

ABCD Is a rhombus .AC=8cm and BD=3.5 cm .what is the aera of the rhombus

1 answer:

5 0

$d_1;\ d_2-the\ diagonals\ of\ the\ rhombus\\\\The\ area\ of\ the\ rhombus:A=\dfrac{d_1\cdot d_2}{2}.\\\\d_1=|AC|=8\ cm;\ d_2=|BD|=3.2\ cm\\\\A=\dfrac{8\cdot3.5}{2}=4\cdot3.5=\boxed{14\ (cm^2)}$

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3 years ago

Select all the expressions with a product less than 2/3.

Monica [59]

The expressions with a product less than 2/3 are:

2/3 × 2/3 and 5/6 × 2/3 ⇒ 2nd and 4th

Step-by-step explanation:

Let us revise some fact about the product of two numbers

If x is multiplied by y where y > 1, then the product is greater than x (Ex: if x is 3/4 and y is 2, then xy = (3/4)(2) = 3/2 which is greater than 3/4)
If x is multiplied by y where 0 < y < 1, then the product is less than x (Ex: if x = 2/5 and y = 1/3, then xy = (2/5)(1/3) = 2/15 which is less than 2/5)

We need to select all the expressions with a product less than 2/3

∵ 4 and 1/8 × 2/3

- 4 and 1/8 means mixed number $4\frac{1}{8}$

∵ $4\frac{1}{8}$ > 1

- That means the product of it and 2/3 will be greater than 2/3

as the first fact above

∴ $4\frac{1}{8}$ × $\frac{2}{3}$ > $\frac{2}{3}$

∵ $\frac{2}{3}$ × $\frac{2}{3}$

∵ $\frac{2}{3}$ is between 0 and 1

- That means the product of it and 2/3 will be less than 2/3

as the second fact above

∴ $\frac{2}{3}$ × $\frac{2}{3}$ < $\frac{2}{3}$

∵ $\frac{2}{3}$ × 2

∵ 2 > 1

- That means the product of it and 2/3 will be greater than 2/3

as the first fact above

∴ $\frac{2}{3}$ × 2 > $\frac{2}{3}$

∵ $\frac{5}{6}$ × $\frac{2}{3}$

∵ $\frac{5}{6}$ is between 0 and 1

- That means the product of it and 2/3 will be less than 2/3

as the second fact above

∴ $\frac{5}{6}$ × $\frac{2}{3}$ < $\frac{2}{3}$

The expressions with a product less than 2/3 are:

2/3 × 2/3 and 5/6 × 2/3

Learn more:

You can learn more about the fractions in brainly.com/question/1312102

#LearnwithBrainly

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