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jeka94
3 years ago
11

Kathy purchases a 4 ounce carton of coffee creamer. If she uses

Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Amount of coffee creamer purchased = 4 ounce

Amount of creamer used per serving = \frac{1}{2} ounce

Let the number of servings be = x

In 4 ounce carton the number of servings is =

\frac{1}{2}*x=4 this gives

x=8

Hence option B :  8 servings is the answer.


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90 POINTS PLEASE HELP Describe the three main trigonometry functions, their ratios and reciprocal functions.
snow_lady [41]

Answer and Step-by-step explanation:

There are three reciprocal trigonometric functions

making a total of six including cosine, sine, and tangent.

→The reciprocal cosine function is secant: sec(Ф)=1/cos(Ф).

→The reciprocal sine function is cosecant, csc(Ф)=1/sin(Ф).

→The reciprocal tangent function is cotangent, expressed two ways: cot(Ф)=1/tan(Ф) or cot(Ф)=cos(Ф)/sin(Ф).

We've already learned the basic trig ratios:

sin(A) = a/c

cos(B) = b/c

tan(C) = a/b

   

But there are three more ratios to think about:

→Instead of  a/c, we can consider c/a  

​→Instead of  b/c, we can consider c/b  

→Instead of  a/b, we can consider b/a  

These new ratios are the reciprocal trigonometric ratios, and we’re about to learn their names.

<u>The cosecant (csc)</u>

The <u>cosecant</u> is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.

sin(A) = opp / hyp  = a/c

csc(A) = hyp / opp = c/a

<u>The secant (sec)</u>

The <u>secant </u>is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

cos(A) = adj/hyp = b/c

sec(A) = hyp/adj = c/b  

<u>The cotangent (cot)</u>

The <u>cotangent </u>is the reciprocal of the tangent. It is the ratio of the adjacent side to the opposite side in a right triangle.

tan(A) = opp/adj = a/b

cot(A) =adj/opp = b/c

7 0
2 years ago
What is 216847.314 rounded by the nearest liter
erica [24]
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3 0
3 years ago
Lynne is 25 years old and starting and IRA (individual retirement account). She is going to invest $150 at the beginning of each
Yuri [45]
The future amount of Lynnes retirement account can be computed using the formula of amortization or annuity:
P = A[(1+i)^n-1)]/(i)
A= amortization
i= 5.5%
n = 40*12 = 480
Subsituting the variables in th formula, Future amount of Lynne in 40 years is equal to
P = $29,082.71
3 0
3 years ago
Read 2 more answers
How to find the least common denominator of 3 fractions?
Lina20 [59]

Answer:

  Find the LCD of the first two, then the LCD of that and the third one.

Step-by-step explanation:

You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.

Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.

___

<u>Example:</u>

  1/21 + 1/35 + 1/45

The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...

  (105·45)/15 = 315

__

Using factoring ...

  • 21 = 3·7
  • 35 = 5·7
  • 45 = 3²·5

LCD = 3²·5·7 = 315

3 0
3 years ago
What is the equation of the line that is perpendicular to y=2x+4 and passes through the points (4 6)
Anuta_ua [19.1K]

Answer:

y=-0.5x+8

Step-by-step explanation:

Opposite reciprocal of 2: -0.5

6=-0.5*4+b

6=-2+b

b=8

6 0
3 years ago
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