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2 years ago

10

The total bill at a restaurant was $58.25 and included a $12 tip for the server. What was the average spent per person prior to

the tip if there were 3 people at the dinner? *

2 answers:

tatyana61 [14]2 years ago

3 0

Approximately $15.42 each person prior to tip.

Bumek [7]2 years ago

3 0

the answer is $15.42

58.25/12*3

=14.5625

rounded to 15.42

Hope It Helps Mark Me The Brainlyest Please

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Given that tan θ ≈ 1.072, where 0 < θ < , 2 π find the values of sin θ and cos θ.

anygoal [31]

Answer:

The answer to your question is

sin Ф = 0.731 and sinФ = -0.731; cos Ф 0.682 and cos Ф = -0.682

Step-by-step explanation:

tan Ф = 1.072, 0 < Ф < 2 π, tan Ф is positive, find the solution in the first and third quadrangle.

- tan Ф = opposite side / adjacent side

- 1.072 / 1 = opposite side / adjacent side

- opposite side = 1.072 and adjacent side = 1

Calculate hypotenuse

c² = a² + b²

c² = 1.072² + 1²

c² = 2.149

hypotenuse = c = 1.466

First quadrangle

sin Ф = 1.072 / 1.466 = 0.731

cos Ф = 1 / 1.466 = 0.682

Third quadrangle

sin Ф = -1.072 / 1.466 = -0.731

cos Ф = -1 / 1.466 = -0.682

5 0

2 years ago

What is the surface area of this right rectangular prism?

vagabundo [1.1K]

Answer:

A≈32 $\frac{3}{10}$ ft²

--

To find the surface area of a right rectangular prism you must use this formula A=2(wl+hl+hw)

Then plug in your variebles

A=2( 1.33*1.5+5+1.5+5+1.33)

This comes out to be A≈32 $\frac{3}{10}$

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2 years ago

36.25= 45.5% of ____

aev [14]

Answer:

36.25 is equal to the 45.5% of 79.67

Step-by-step explanation:

To solve this you just have to find the value that represents the 100%.

To do this, you can use the Rule of Three that allows you to solve problems of proportions.

In this case, you know that the 45.5% of the magnitude <em>X </em>is 36.25, now you have to find the value which corresponds to the 100%.

Mathematically it will be:

$\frac{X}{36.25} =\frac{100}{45.5}$

Then you have to solve the equation to find <em>X</em>:

$X=\frac{100}{45.5}*36.25$

And finally, the answer is:

$X=79.67$

7 0

3 years ago

Please answer the question in the picture above

Andreas93 [3]

The difference between the masses is
4.55·10¹³ kg -1.78·10¹² kg
= 4.55·10¹³ kg - 0.178·10¹³ kg
= (4.55 -0.178)·10¹³ kg
= 4.372·10¹³ kg

Rounded to the appropriate precision, the mass of the Antarctic iceberg exceeds that of the Rock of Gibraltar by ...
4.37·10¹³ kg

7 0

2 years ago

Select two polynomials that have a sum of 16n^3+13n^2+7n-10 A. 8n^3 - 5n +11n^2 - 5 B. 7n^2 + 8n - n^3 + 2 C. 15n^2 - 10n + 3n^3

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

We have the polynomial

$16n^3+13n^2+7n-10$ ( 1 )

To solve this problem we have to take into account that only we can sum term with the same order in the variable. We have the polynomials

$8n_{3}-5n+11n^{2}-5\\7n^2 + 8n - n^3 + 2\\15n^2 - 10n + 3n^3 - 4\\2n^2 + 12n - 5 + 8n^3$

we can note (by summing term by term) that only the sum of the first and the fourth equation correspond to the given polynomial ( 1 ) of the problem. If we organize these polynomials (that is, write the equation down in a form where higher order appears first ) we have

$8n^3 +11n^2 - 5n - 5\\ 8n^3+2n^2 + 12n - 5\\$

and if we sum we obtain

$16n^3+13n^2+7n-10$

that is what we was looking for

I hope this is useful for you

regards

7 0

2 years ago