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3 years ago

a rhombus has an area of 60 square centimeters. if the length of one diagonal is 12 cm, find the length of the other

Mathematics

1 answer:

AlekseyPX3 years ago

3 0

Answer:

10 cm

Step-by-step explanation:

The area (A) of a rhombus is calculated as

A = $\frac{1}{2}$ × d₁ × d₂ ( d₁ and d₂ are the diagonals )

Here A = 60, d₁ = 12, thus

60 = 0.5 × 12 × d₂ = 6 d₂ ( divide both sides by 6 )

d₂ = 10

The other diagonal is 10 cm

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In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1. a) Find tw

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Answer:

$6:2,\,9:3$

Step-by-step explanation:

Given: The ratio of cups of sparkling water to cups of grape juice concentrate is $3:1$ in a recipe for fizzy grape juice.

To find: two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe

Solution:

Equivalent ratios are the ratios that have the same value.

Find two ratios equivalent to $3:1=\frac{3}{1}$

Multiply both numerator and denominator of $\frac{3}{1}$ by 2

$\frac{3(2)}{1(2)} =\frac{6}{2}$

Multiply both numerator and denominator of $\frac{3}{1}$ by 3

$\frac{3(3)}{1(3)} =\frac{9}{3}$

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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A fruit stand sells apples, peaches and tomatoes. Today, they sold 4 apples for every 5 peaches. They sold 2 peaches for every 3

Brrunno [24]

Answer:

He sold 32 apples, 40 peaches and 60 apples.

Step-by-step explanation:

We are given that

4 apples are sold every 5 peaches and

3 tomatoes are sold every 2 peaches.

i.e. the ratio is apples: peaches = 4 : 5 ...... (1)

and the ratio peaches: tomatoes = 2 : 3 ...... (2)

Peaches are the common link here in both the ratio terms.

Let us make the peaches value in both the <em>ratio as 10 </em>to make it equal in both the ratio terms.

Multiply (1) by 2 and (2) by 5:

The ratio becomes;

apples:peaches = 8:10

peaches: tomatoes = 10:15

In other words, the ratio becomes:

apples:peaches:tomatoes = 8:10:15

Let the number of apples = $8x$

Let the number of peaches = $10x\\$

Let the number of tomatoes = $15x$

We are given that total fruits are = 132

$\Rightarrow 8x+10x+15x = 132\\\Rightarrow 33x = 132\\\Rightarrow x =4\\$

So, number of apples sold = $8 \times 4 = 32$

Number of peaches sold = $10 \times 4 = 40$

Number of tomatoes sold = $15 \times 4 = 60$

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Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each. How

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Answer:

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Step-by-step explanation:

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