3 years ago

1. Determine whether each expression is equivalent to (4x)2/3. Select Yes or No for each expression.

Mathematics

1 answer:

Kamila [148]3 years ago

6 0

here it is in bio they wont let me type it

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Angle x is such that sin x = a + b and cos x = a − b, where a and b are constants.

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Answer:

Step-by-step explanation:

sin x=a+b

cos x=a-b

sin²x+cos²x=(a+b)²+(a-b)²=2a²+2b²

or 2a²+2b²=1

a²+b²=1/2 which is constant for all values of x

(ii)

$\frac{\sin x}{\cos x}=\frac{a+b}{a-b}\\\tan x=\frac{a+b}{a-b}=2\\a+b=2a-2b\\b+2b=2a-a\\or a=3b$

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Between which to whole numbers does the square root of 119 lie?

Stella [2.4K]

Answer:

10 and 11

Step-by-step explanation:

$1^2, 2^2, 3^2, 4^2, 5^2, 6^2, 7^2, 8^2, 9^2, 10^2, 11^2\\1, 4, 9, 16, 25, 36,49,64,81,100,121$

The $\sqrt{119}$ lies between whole number 10 and 11 since it lies between 100-121 which square rooted, is 10 and 11.

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The value of y in 4(2y – 3) + 12 = 40 is _________

Aliun [14]

Answer:

y =5

Step-by-step explanation:

Let's solve your equation step-by-step.

4(2y−3)+12=40

Step 1: Simplify both sides of the equation.

4(2y−3)+12=40

(4)(2y)+(4)(−3)+12=40(Distribute)

8y+−12+12=40

(8y)+(−12+12)=40(Combine Like Terms)

8y=40

Step 2: Divide both sides by 8.

y=5

Answer:

y=5

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