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dalvyx [7]
3 years ago
11

Solve for the indicated variable

Mathematics
1 answer:
anygoal [31]3 years ago
3 0

Answer:

243.911, or rounding to the nearest unit, 244.

Step-by-step explanation:

For this, you need to know a concept in Trigonometry called "Law of Sines". This states that the ratio of any side of a triangle to the sine of the angle opposite is equal for all cases in that triangle.

Knowing this:

\frac{200}{ \sin(48) }  =  \frac{x}{ \sin(65) }  \\ x \sin(48)  = 200 \sin(65)  \\ x =  \frac{200 \sin(65) }{ \sin(48) }  \\ x = 243.911

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2 years ago
Write an inequality that best matches this description
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Answer:

x \geq 3(y + z)

Step-by-step explanation:

I am going to say that:

Mary's amount is x.

Ashley's amount is y.

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3 times this amount is 3(y + z).

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3 years ago
The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or
tigry1 [53]

<u>Answer-</u>

<em>The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%</em>

<u>Solution-</u>

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

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P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}


P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67

Putting these values,

P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%

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3 years ago
How much will two points cost on a $175,000 mortgage?
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                                                                             43  $3500.00


because you must calculate $175,000.00*.02 so when that is multiplied it equalos $3500.00
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2 years ago
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