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sergiy2304 [10]
2 years ago
14

The measures of three parts of triangle ABC are given in the diagram. What is AC, correct to two decimal places? A. 2.55 B. 5.01

C. 5.11 D. 6.74

Mathematics
2 answers:
maksim [4K]2 years ago
8 0

Option B. 5.01 units

this is the right answer... got it on plato :)

ur welcome ;)

White raven [17]2 years ago
6 0

Answer:

Option B. 5.01 units

Step-by-step explanation:

we know that

Applying the law of sines

\frac{c}{sin(C)}=\frac{b}{sin(B)}

we have

c=AB=3.61\ units\\C=41.82^o\\B=67.62^o\\b=AC

substitute the given values

\frac{3.61}{sin(41.82^o)}=\frac{AC}{sin(67.62^o)}

AC=\frac{3.61}{sin(41.82^o)}=sin(67.62^o)

AC=5.01\ units

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Simplify x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y²​
LenaWriter [7]

Answer:

x-2y/x

Step-by-step explanation:

x²-4xy+4y²/x²+xy-6y²÷x²+3xy/x²+6xy+9y² = x-2y/x

3 0
2 years ago
The ordered pairs model an exponential growth function. (−1,21.875), (0,35), (1,56), (2,89.6) What is the function equation? f(x
Karolina [17]

Answer:

Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.

Step-by-step explanation:

Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time.  Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6.  Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'.  Plugging in these values will give us the final equation f(x)=35(1.6)^x.

5 0
2 years ago
Price ($)87654321Price of CupsFind the unit rate ofthe price per cup.$[?]$54 cups 1 cup=Give your answer asa decimal.
Yanka [14]

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the formula for slope

m=\frac{y_2-y_1}{x_2-x_1}

STEP 2: Pick two points

STEP 3: Find the unit price per cup

Since 4 cups cost $5, one cup will cost

\frac{5}{4}=\text{ \$}1.25\text{ per cup}

Therefore, the answer is $1.25

8 0
1 year ago
Convert 6.3 meters to millimeters. <br> 0.0063 mm <br> 63 mm <br> 6,300 mm<br> 630 mm
Fynjy0 [20]
6.3 x 1000 - 6,300 mm
3 0
3 years ago
Read 2 more answers
Question 3 (1 point)
Virty [35]

Answer:

The answer to your question is (4, 6)

Step-by-step explanation:

Data

E ( 9 , 7 )

F ( - 1, 5)

Formula

Xm = \frac{x1 + x2}{2}

Ym = \frac{y1 + y2}{2}

Substitution and simplification

Xm = \frac{9 -1}{2}

Xm = \frac{8}{2}

      Xm = 4

Ym = \frac{7 + 5}{2}

Ym = \frac{12}{2}

      Ym = 6

Result

            (4 , 6)  

7 0
3 years ago
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