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MAVERICK [17]
2 years ago
7

Add 1 1/3 + (−5/6) = ?

Mathematics
1 answer:
Aleks [24]2 years ago
4 0
1 1/3 = 4/3 (because (3 * 1 + 1) / 3)

We need both parts of sum to have common denominator.
Second part have denominator = 6.
When we multiply nominator and denominator of first part by 2 we get 8/6 (what is legit operation on fractions)

Now easily add:
8/6 + (- 5/6) = 8/6 - 5/6 = 3/6 (here we can divide both nominator and denominator by 3 to get "nicer" result) = 1/2 
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2. Use the following picture for this question:
Art [367]

Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

<u>Note:</u> the exact value of tan 60 is \sqrt{3}

Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

4 0
3 years ago
Simplify the following expression<br> (4.1 × 105) + (5.5 × 106)
kakasveta [241]

Answer:

It is 1130.1 hope this helps

5 0
2 years ago
What are the solutions to the system of equations {y=2x^2+6x-10<br> Y=-x+5
otez555 [7]

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Margaret and Bethany have a lemonade stand for one week each summer.
Monica [59]

Answer:

6.00

Step-by-step explanation:

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2 years ago
What is 8% of 1125?
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90

Step-by-step explanation:

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