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3 years ago

the hypotenuse of a 30-60-90 degree right triangle has a measure of 10. what is the measure of the shortest side

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

5 0

Answer:

Step-by-step explanation:

A 30-60-90 triangle's sides equal as follows:

Hypotanuse= x (a number)

Long side= x/2( also can be calculated as x* 1/2) * $\sqrt{3}$

Short side = x/2 or x * 1/2

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Show that there is no solution for the radical equation 4w+4=-4.

Ad libitum [116K]

Answer:

there is a solution

w= -2

Step-by-step explanation:

4w+4=-4

-4 -4

4w=-8

/4 /4

w=-2

3 0

3 years ago

Mrs carter manages a pizza parlor the average daily cost is 40 $ plus 52 $ to pay each employee it also cost 2$ to make each piz

Shtirlitz [24]

Total costs: 40 + (7*52) + (42*2) = 488

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3 years ago

400.0 ml of a gas are under pressure of 80.0 kpa what would the volume of the gas be at a pressure of 100.0 kpa

Ber [7]

Answer:

The final volume is 320 mL at pressure of 100 kPa.

Step-by-step explanation:

Boyle's law gives the relation between volume and pressure of a gas. It states that at constant temperature, volume is inversely proportional to its pressure such that,

$V\propto \dfrac{1}{P}\\\\P_1V_1=P_2V_2$

Let

$V_1=40\ mL\\\\P_1=80\ kPa\\\\P_2=100\ kPa$

We need to find $V_2$ . Using above equation, we get :

$V_2=\dfrac{P_1V_1}{P_2}\\\\V_2=\dfrac{400\times 80\times 10^3}{100\times 10^3}\\\\V_2=320\ mL$

So, the final volume is 320 mL at pressure of 100 kPa.

6 0

3 years ago

John has a total of 13 coins in his pocket. Of the 13 coins, they are all either quarters or dimes. The total value of the coins

lubasha [3.4K]

8 quarters = (8 x .25) = $2.00

5 dimes = (5 x .10) = $.50

$2.00 + $.50 = $2.50

8 + 5 = 13

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3 years ago

A correlation of r = 0.85 is found between weekly sales of firewood and cough drops over a 1-year period. Which of the following

jolli1 [7]

Answer:

A) There is a pretty strong positive linear relationship between sales of firewood and cough drops.

Explanation:

Correlation coefficient: It is used to analyze the relationship between two variables, the greater it is the stronger the relationship will be.

Sales of firewood affects cough drops, they have a direct and strong positive relationship.

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3 years ago