In △ABC, m∠A=39 △ A B C , m ∠ A = 39 °, a=11 a = 11 , and b=13 b = 13 . Find c c to the nearest tenth.

Answers

Answer 1
Answer:

Answer:

c=17.5\ units

Step-by-step explanation:

step 1

Find the measure of angle B

Applying the law of sines

(a)/(sin(A))=(b)/(sin(B))

substitute the given values

(11)/(sin(39\°))=(13)/(sin(B))

sin(B)={sin(39\°)}(13)/(11)

B=arcsin[sin(39\°)(13)/(11)]

B=48.1\°

step 2

Find the measure of angle C

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

39\°+48.1\°+C=180\°

87.1\°+C=180\°

C=180\°-87.1\°=92.9\°

step 3

Find the length side of c

Applying the law of sines

(a)/(sin(A))=(c)/(sin(C))

substitute the given values

(11)/(sin(39\°))=(c)/(sin(92.9\°))

c=(11)/(sin(39\°))sin(92.9\°)

c=17.5\ units


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The common factors of 28 and 40

Answers

The factors of 28 are 1, 2, 4, 7, 14, and 28.
 
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
 

The common factors are 1, 2, and 4.

Write a real word problem for equation x-75=200

Answers

Hm...

   The total amount of oranges in a store is 200. The store loses 75 oranges each day, for some mysterious reasons. Find the number of oranges the store loses each week. Let x represent that number.

      

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Answers

The answer is 8:14. this can be simplified to 4:7 (divide by 2).

Answer:

i think the answer is

8:22

Step-by-step explanation:

Describe how to model 2-digit by 2-digit multiplication using an area model ANSWER NOW FOR 20 POINTS

Answers

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Properties of Multiplication and Division and Problem Solving with Units of 2–5 and 10. Multiplication and Division with Units of 0, 1, 6–9, and Multiples of 10Multi-Digit Whole Number and Decimal Fraction Operations.

Answer:

The steps are shown below:

Step-by-step explanation:

We can draw the area model for 2-digit by 2-digit multiplication by using the following steps:

Step 1: First write the multiplicands in expanded form.

For example: 26 as 20 and 6, and 36 as 30 and 6.

Step 2: Now, Draw a 2 × 2 grid, and write the terms of one of the multiplicands on the top of the grid. One on the top of each cell.

Step 3: Write the terms of the other multiplicand on the left of grid.

Step 4: Write the product of ones and tens in respective cell.

For example: 26×36

         20        6

30|    600    180

6 |    120      36

Now add them: 600+180+120+36=936

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Answers

the answer is x=4. you have to use the distributive property on both sides then begin solving for x.  
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x=4