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stellarik [79]
3 years ago
5

A homeowner wants to carpet two rooms that each measure 12 ft by 15 ft. How many square yards of carpet should be ordered?

Mathematics
1 answer:
stepladder [879]3 years ago
4 0
Twenty-four by thirty
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In △ABC, m∠A=39°, a=11, and b=13. Find c to the nearest tenth.
Talja [164]

For this problem, we are going to use the <em>law of sines</em>, which states:

\dfrac{\sin{A}}{a} = \dfrac{\sin{B}}{b} = \dfrac{\sin{C}}{c}


In this case, we have an angle and two sides, and we are trying to look for the third side. First, we have to find the angle which corresponds with the second side, B. Then, we can find the third side. Using the law of sines, we can find:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{B}}{13}


We can use this to solve for B:

13 \cdot \dfrac{\sin{39^{\circ}}}{11} = \sin{B}

B = \sin^{-1}{\Big(13 \cdot \dfrac{\sin{39^{\circ}}}{11}\Big)} \approx 48.1


Now, we can find C:

C = 180^{\circ} - 48.1^{\circ} - 39^{\circ} = 92.9^{\circ}


Using this, we can find c:

\dfrac{\sin{39^{\circ}}}{11} = \dfrac{\sin{92.9^{\circ}}}{c}

c = \dfrac{11\sin{92.9^{\circ}}}{\sin{39^{\circ}}} \approx \boxed{17.5}


c is approximately 17.5.

8 0
2 years ago
A triangle has one angle that measures 72 degrees and one angle that measures 18 degrees what kind of triangle is it
MariettaO [177]

Answer:

a rightangle triangle

Step-by-step explanation:

because 72+18=90 degrees

when a side is 90 degrees in a triangle, it is right-angled.

hope this helps you!!

7 0
2 years ago
maze going to the lake to visit some friends at the lake is 60 miles away and Renee is driving 40 mph the entire time how long w
mojhsa [17]

Answer:

it will take her an hour and 25 minutes roughly

Step-by-step explanation:

7 0
3 years ago
Hey! i’ll give brainliest help thanks
goldfiish [28.3K]
A government by people
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3 years ago
Which of the following is a geometric sequence?
professor190 [17]

Answer:

A

Step-by-step explanation:

A is a geometric sequence with common ratio - 1.

5 0
2 years ago
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