The adjacent sides of a parallelogram measure 14 centimeters and 20 centimeters, and one angle measures 57°. Find the area of the parallelogram.

Answers

Answer 1

Answer: The area of an isosceles triangle is given by

$Area = base \: * height$
We have the base already given, so we just have to calculate the height using the sine ratio.

$\sin(57 \degree) = (h)/(14)$
$\Rightarrow h = 14 * \sin(57 \degree)$

You may choose to use your calculator here, but I will prefer to keep it as it is and use the calculator value at the end.

Now let's plug our values inside the formula, yo obtain,

$Area = 20 * 14 \sin(57 \degree)$
$Area = 234.8 {cm}^(2)$

$<b>Hence, the area of the parallelogram is 234.8cm²</b>$

Answer 2

Answer: Hello,
Let's h the height of the parallelogram:
sin 57°=h/14==> h=11,741387...
Area=h*20=234,827759... (cm²)

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What is the value of the expression when a = 5 and b = 3? 4a^2 5b^3a. 55
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c. 81
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Answers

$4a^25b^3\n\nsubtitute\ the\ values\ of\ a=5\ and\ b=3\ to\ the\ expression:\n\n4(5^2)\cdot5(3^3)=4(25)\cdot5(27)=100\cdot135=\boxed{13,500}$

X^2+2x in factored form

Answers

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x(x+2)

Simplify and identify and x-values for which the expression is undefined. 4x-8 divided by x^2-2x

Answers

$(4x-8)/(x^2-2x)=(4(x-2))/(x(x-2))=(4)/(x)\n\n\n\nx^2-2x\neq0\Rightarrow x(x-2)\neq0\Rightarrow x\neq0\ \wedge\ x\neq2$

Which expression correctly represents the product 12(8 5) after applying the distributive property?

Answers

Answer:

Distributive Propety

Step-by-step explanation:

We are given the following information in the question:

Distributive Property:

It helps us to perform complicated maths problem easily.

The distributive property allows us to multiply a sum by multiplying each addend separately and then adding the products separately.
$a* (b+c) = (a* b) + (a* c)$
Example:

$5* 8 =5* (2+6) = (5* 2) + (5* 6) = 10 + 30 = 40$

The given problem can be solved as:

$12* (8+5)\n=(12* 8) + (12* 5) \n= 96 + 60\n=156$

u don't use the distributive property here order of operations says do operations in parentheses FIRST 12(8 +5) = 12(13) = 156 12(8 +5) = 12(8) +12(5) = 96 +60 = 156

Nancy’s grandma needs 5/8 of a yard of lace for each doll hat she makes. How many doll hats can she make with 10 yards of lace?

Answers

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How would I answer this equation 5y - 2y = 3y + 2

Answers

5y - 2y = 3y + 2

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What best describes the solution 0=15?