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serious [3.7K]
2 years ago
15

Find the missing length, using one of the trigonometric ratios.​

Mathematics
1 answer:
Nataly_w [17]2 years ago
6 0

Step-by-step explanation:

x= 10 sin 60° = 10×½√3 = 5√3

y= 10 cos 60° = 10×½ = 5

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Which shows a perfect square trinomial?
anastassius [24]
The answer is <span>c. 16x2 + 24xy + 9y2.

Since we need trinomial (three term expression) choices a and b are incorrect because they have only two terms.

So, our square trinomial is a</span>² + 2ab + b² or a² - 2ab + b²
a² + 2ab + b² = (a + b)²
a² - 2ab + b² = (a - b)²

Let's check choices c and d:
c) 16x² + 24xy + 9y²
a² = 16x²
a² = (4x)²
a = 4x

b² = 9y²
b² = (3y)²
b = 3y

a² + 2ab + b² = (4x)² + 2 * 4x * 3y + (3y)² = 16x² + 24xy + 9y²
CORRECT

d) 49x² - 70xy + 10y²
a² = 49x²
a² = (7x)²
a = 7x

b² = 10y²
b² = (y√10)²
b = y√10

a² + 2ab + b² = (7x)² + 2 * 7x * y√10 + (y√10)² = 49x² + 14xy√10 + 10y²
INCORRECT

So, c) is correct answer
8 0
3 years ago
Read 2 more answers
If 4.5 pounds of cherries cost $10, what is the unit price per pound
djverab [1.8K]
Simply divide $10 by 4.5 to get the answer $2.22 per pound (actually the 2's keep repeating.  
I guess the store might charge $2.23 since some will round any overage to the next penny.
3 0
3 years ago
What is the average of -2.6, 1.8, -3.3, -2.7, 2.2 ?<br> I dont understand this.
olya-2409 [2.1K]
Average = Mean

To find the mean, add up the numbers and divide it by how many numbers there are.

So,  -2.6+1.8+(-3.3)+(-2.7)+2.2=-4.6

There are 5 numbers in total.

-4.6 \div 5=-0.92

To do these types of division, ignore the decimal and add a 0 at the end.

So we can do:
-460\div5=-92

And put back the decimal.
Hope this helps :)
4 0
2 years ago
A local baseball team about 75 shirts from the T-shirt company. The team was charged $6.25 for total shipping but received a $20
ollegr [7]
In order to solve this question
Make an equation
Let x be the cost of each T- shirt
75x+6.25-20=398.75
Simplify the equation
75x-13.75= 398.75
Get Rid of The Constant
75x-13.75+13.75= 398.75+13.75
75x=412.5
Make sure your Variable is equal to one
75x÷75= 412.5÷75
x= 5.5
The price of each shirt is $5.50
4 0
3 years ago
Does anyone know this?
Advocard [28]

it is c and dont get it wrong

8 0
3 years ago
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