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2 years ago

11. Lucas is making one dozen sn

Mathematics

1 answer:

anygoal [31]2 years ago

3 0

Answer:

Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team

Step-by-step explanation:

For each snacks Lucas uses one cup of dried cherries and 2 cup of dried apricots. One dozen of snack contains a total of 12 snacks. Therefore to prepare 12 snacks (one dozen) the number of dried cherries and dried apricots can be gotten by multiplying the number of dried cherries and dried apricots required for each snack by 12.

Number of dried cherries = 1 cup for each snack × 12 snacks = 12 cups

Number of dried apricots = 2 cup for each snack × 12 snacks = 24 cups

Lucas needs 12 cups of dried cherries and 24 cups of dried apricots to make one dozen of snacks for his team

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The coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

daser333 [38]

Answer: The correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

Explanation:

It is given that coordinates of the vertices of quadrilateral DEFG are D(−2, 5) , E(2, 4) , F(0, 0) , and G(−4, 1) .

The distance formula for two points is given below,

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$DE=\sqrt{(2+2)^2+(4-5)^2}=\sqrt{17}$

$EF=\sqrt{(0-2)^2+(0-4)^2}=\sqrt{20}$

$FG=\sqrt{(-4-0)^2+(1-0)^2}=\sqrt{17}$

$DG=\sqrt{(-4+2)^2+(1-5)^2}=\sqrt{20}$

Slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of DE,

$m_1=\frac{4-5}{2+2}= \frac{-1}{4}$

Slope of EF,

$m_2=\frac{0-4}{0-2}= 2$

Slope of FG,

$m_3=\frac{1-0}{-4-0}= \frac{-1}{4}$

Slope of DG,

$m_4=\frac{1-5}{-4+2}= 2$

The slope of opposite sides are equal, it means the opposite sides are parallel.

All four sides do not have the same length. It means it is not a rhombus.

From the figure it is noticed that the opposite sides are parallel.

Therefore, the correct option is a.Quadrilateral DEFG is a rhombus because opposite sides are parallel and all four sides have the same length.

3 0

3 years ago

Read 2 more answers

What is the effect on the graph of the function f(x) = 7x^3 when f(x) is replaced with f(x − 5)?

Otrada [13]

Answer:

translate horizontally 5 units left

5 0

2 years ago

(2a+b)^2 how do you do this

gulaghasi [49]

• Expand (2a + b)²:

(2a + b)²

= (2a + b) · (2a + b)

Multiply out the brackets by applying the distributive property of multiplication:

= (2a + b) · 2a + (2a + b) · b

= 2a · 2a + b · 2a + 2a · b + b · b

= 2²a² + 2ab + 2ab + b²

Now, group like terms together, and you get

= 2²a² + 4ab + b²

= 4a² + 4ab + b² <——— expanded form (this is the answer).

I hope this helps. =)

Tags: <em>special product square of a sum algebra</em>

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3 years ago

8 8/9 - 5 1/11???????????????????????

saw5 [17]

Hiiii

Answer:

The answer is 4 25/99

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