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3 years ago

11

EFGH is a rhombus.

2 answers:

liq [111]3 years ago

6 0

Each side is 10 UNITS

UNO [17]3 years ago

6 0

Answer:

10 units

Step-by-step explanation:

EG and FH are diagonals of the rhombus and the bisect each other at the centre to for a righ angle triangle with the side of the rhombus as the hypothenus.

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a cooler contains 50 bottles; 30 bottles of water, which 8 are lemon flavored and 20 bottles of tea, of which 5 are lemon flavor

xenn [34]

Answer:

The required probability is $\dfrac{13}{50}$

Step-by-step explanation:

Total number of bottles = 50

Total number of water bottles = 30

Total number of lemon flavored water bottles = 8

Total number of tea bottles = 20

Total number of lemon flavored tea bottles = 5

<em>Probability of selecting a lemon flavored water bottle = Probability of selecting a water bottle </em> $\times$ <em> Probability of selecting a lemon bottle out of water bottles.</em>

<em></em>

<em>Probability of selecting a lemon flavored tea bottle = Probability of selecting a tea bottle </em> $\times$ <em> Probability of selecting a lemon bottle out of tea bottles.</em>

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Probability of selecting a water bottle:

$\dfrac{30}{50} = \dfrac{3}{5}$

Probability of selecting a lemon flavored bottle from water bottle:

$\dfrac{8}{30}$

<em>Probability of selecting a lemon flavored water bottle = P(A)</em>

<em></em> $\dfrac{3}{5} \times \dfrac{8}{30} = \dfrac{4}{25}$ <em></em>

<em></em>

Probability of selecting a tea bottle:

$\dfrac{20}{50} = \dfrac{2}{5}$

Probability of selecting a lemon flavored bottle from tea bottle:

$\dfrac{5}{20} = \dfrac{1}{4}$

<em>Probability of selecting a lemon flavored tea bottle = P(B)</em>

<em></em> $\dfrac{2}{5} \times \dfrac{1}{4} = \dfrac{1}{10}$ <em></em>

<em></em>

<em>The required probability is:</em>

<em>P(A) + P(B):</em>

<em></em> $\dfrac{4}{25} + \dfrac{1}{10}\\\Rightarrow \dfrac{8+5}{50}\\\Rightarrow \dfrac{13}{50}$ <em></em>

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3 years ago

A recipe calls for 2 1/4 cups of brown sugar.If I am only making 2/3 of the recipe , how many brown sugar should I use?

kotegsom [21]

Answer:

3 3/8

Step-by-step explanation:

Correct me if I'm wrong

4 0

3 years ago

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What’s (2.5,6) dilated by a scale factor of 2?

vodka [1.7K]

Answer:(5,12)

Step-by-step explanation: 2.5 x 2= 5

6 x 2= 12

3 0

3 years ago

You purchase a painting for 9,000 that has an appreciation rate of 12%. What is the growth

Alenkinab [10]

Answer:

Step-by-step explanation:

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3 years ago

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For the function h(x) =3x/(x+5)(x-4), solve the equation.

LuckyWell [14K]

Answer:

x = 0

Step-by-step explanation:

To 'solve' means to find the x values that make the equation equal zero, so

0 = (3x)/[(x + 5)(x - 4)

Multiply both sides by the denominator to get rid of the fraction

0[(x + 5)(x - 4)] = [(3x)(x + 5)(x - 4)]/[(x + 5)(x - 4)]

0 = 3x

0 = x (divide both sides by 3)

So x = 0 is the solution for this equation

8 0

3 years ago