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3 years ago

The sine ratio is formed by the side opposite the hypotenuse over the ___.

Mathematics

2 answers:

Murljashka [212]3 years ago

5 0

It is C opposite angle

Alinara [238K]3 years ago

4 0

Remember SOH CAH TOA, sound it out and remember that 'phrase.

The first letter represents the function (sin, cos, tan). The second letter represents the numerator and the third letter represents the denominator.

By this logic, we'd go to SOH, and the top would be O (opposite) and the bottom would be H (hypotenuse).

$\sin (\theta ) = \frac{opposite}{hypotenuse}$

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What is a 40% decrease of 85?

Andrews [41]

40% of 85 is 34 so 85-34=51

51 is your answer

6 0

3 years ago

Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h

Vesnalui [34]

Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y (where P% is P/100)

Here in the question it is given that,

Mr. and Mrs. Lorenzo want to buy a home valued at $213,500

They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

Given that the total amount = $213,500

Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

brainly.com/question/14366896

#SPJ4

3 0

2 years ago

Write 2.385 as a fraction or mixed number in simplest form.

never [62]

2.385 can be written as 2385/1000, which is equivalent to 477/200. As a mixed number it is writte as 2 77/200. Hope I helped!

5 0

4 years ago

The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o

Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0

3 years ago

Factor the following polynomial.<br><br> ( Correct and best explained answer gets brainliest. )

mamaluj [8]

Glad you asked this question! Over the years of working with my professor we learned that if phs= 5 (constant) times the j to the power of 2 you will get the formula or polynomialic equation. It quite fascinating and due to using his equation the answer in fact is "c". Cheers

4 0

3 years ago