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Serga [27]
3 years ago
11

Consider a triangle ABC like the one below. Suppose that B=36°, C= 62°, and b= 40. (The figure is not drawn to scale.) Solve the

triangle.
Round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

Answer:

A=82°

a= 67.4

c = 60.1

Step-by-step explanation:

For A

A+B+C =180°

A= 180-(B+C)

A= 180-(36+62)

A= 189-(98)

A= 82°

For a

a/sinA= b/sinB

a/sin82= 40/sin36

a= (40*sin82)/sin36

a=( 40*0.9903)/0.5878

a=67.39

Approximately = 67.4

For c

c/sinC= b/sinB

c= (sinC*b)/sinB

c= (sin62*40)/sin36

c =(0.8829*40)/0.5878

c = 60.08

Approximately = 60.1

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Charra [1.4K]
Let's round the numbers into perfect roots. So 23 rounded would be 25, because the square root of 25 is 5, and 47 rounded is 49, because the root of 49 is 7. So 7-5=2. That would be the best approximation for this question.
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Todd is putting new oak baseboard trim in his living room. He has one piece that is 12 1/2 ft long and another that is 8 2/3 ft
Arlecino [84]

Answer:

21 1/6 ft

Step-by-step explanation:

Add the lengths together

12 1/2 + 8 2/3

Get a common denominator of 6

12 1/2 *3/3  + 8 2/3 *2/2

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2 years ago
On Monday, Nalim made a journey.
xenn [34]

Answer:

Step-by-step explanation:

Let's put in some numbers to make this easier to understand.

Let's say she has to travel 20 km.

On Monday, she travels at 4 kph.  This takes 5 hours.

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To figure percent reduction we take

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3 years ago
Which expressions are polynomials? Select each correct answer.
lilavasa [31]
Here's an example

<span>Simplify by collecting like terms: 4(<span>x2y  </span>+ 7y) – 5y(3<span>x2 </span>– y) – 10y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y</span>

 

<span>A) −11x2y + 5<span>y2 </span>+ 18y </span>

<span>Correct. 4(<span>x2y  </span>+ 7y) – 5<span>y(3x2 </span>– y) – 10y = 4<span>x2y + </span>28y – 15<span>yx2</span> + 5<span>y2 – </span>10y = 4<span>x2y + </span>18y – 15<span>yx2</span> + 5<span>y2 </span>= −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>B) 4<span>x2y + </span>11y – 8<span>yx2 – </span>16y </span>

<span>Incorrect. The 4 is distributed to both terms in the parentheses by multiplying each term by 4 resulting in 28y, not 11y. The −5y is similarly distributed to each term in the parentheses, resulting in −15<span>yx2 + </span>5<span>y2. </span>The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>C) 4<span>x2y + </span>18y – 15<span>yx2 + </span>5<span>y2</span></span>

<span>Incorrect. This polynomial can be further simplified by combining the like terms 4<span>x2y </span>and −15<span>yx2. </span>The order of the variables in a term does not matter. The correct answer is </span>

−<span>11x2y + 5<span>y2 </span>+ 18y.</span>

 

<span>D) 4<span>x2y </span>– 5y(3<span>x2 </span>– y) – 3y </span>

<span>Incorrect. Before combining like terms, you must distribute to clear the parentheses. The correct answer is −11x2y + 5<span>y2 </span>+ 18y.</span>

 

 


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Answer:

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