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2 years ago

In a right triangle, sin(40 - 2) = cos(32)'. What is the value of x?

Mathematics

1 answer:

o-na [289]2 years ago

5 0

Answer:

x = 25

Step-by-step explanation:

Correct question

In a right triangle Sin (40-x)=cos(3x) what is the value of x

Since Sin theta = Cos(90-theta)

Sin (40-x) = Sin(90-3x)

40 - x = 90 - 3x

-x+3x = 90 - 40

2x = 50

x = 25

Hence the value of x is 25

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3 years ago

Complete the square than convert to vertex form. y=2x^2+8x-9

8_murik_8 [283]

$y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0$

There are 2 roots so the only way to complete the square is,

$y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17$

Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.

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2 years ago

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emmainna [20.7K]

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Step-by-step explanation:

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3 years ago

Which ordered pair is not a solution of f(x) = 2x + 9? (0, 9) (7, 23) (3, 14) (2, 13)

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(3,14) because when you plug in the x and y values you don’t end up with a true statement.
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4 0

3 years ago

Read 2 more answers

A pizza dough recipe calls for 6 1/2 cups of flour. The recipe makes 37 1/2 ounces of dough. How many ounces of dough does 1 cup

NemiM [27]

Answer:

$n = 5\frac{10}{13}$

Step-by-step explanation:

Given

$Call = 6\frac{1}{2}$ cups

$Recipe = 37\frac{1}{2}$ ounce

Required

Number of ounces per cup (n)

To do this, we simply divide the Recipe by the call

So, we have:

$n = \frac{Recipe}{Call}$

$n = 37\frac{1}{2} \div 6\frac{1}{2}$

Express as improper fraction

$n = \frac{75}{2} \div \frac{13}{2}$

Rewrite as:

$n = \frac{75}{2} * \frac{2}{13}$

$n = \frac{75}{13}$

$n = 5\frac{10}{13}$

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2 years ago