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2 years ago

Determine the value of x.A. 4√2B. 2/√2C. 2√2D. 2

Mathematics

1 answer:

ZanzabumX [31]2 years ago

3 0

Answer:

$\huge\boxed{\sf C.}$

Step-by-step explanation:

sin 45 = opposite / hypotenuse

Where opposite = x , hypotenuse = 4

sin 45 = x / 4

$\sf \frac{\sqrt{2} }{2 } = \frac{x}{4} \\\\x = \frac{4\sqrt{2} }{2} \\\\x = 2\sqrt{2} \\\\\rule[225]{225}{2}$

Hope this helped!

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ZB= Round your answer to the nearest hundredth. A 4 B с 3

Mice21 [21]

Answer:

Step-by-step explanation:

The opposite side to angle B is 4. It is the line AC. AC is not connected in any way to <B

The adjacent side is one of the two sides making up <B. It is 3.

Tan(B) = opposite / adjacent

Tan(B) = 4/3

<B = tan-1(4/3)

<B = 53.13

6 0

2 years ago

Question 2(Multiple Choice Worth 4 points) (08.02)A pair of equations is shown below. x + y = 5 y = one halfx + 2 If the two equ

8_murik_8 [283]

Answer:

$(2,3)$

Step-by-step explanation:

The first equation is $x+y=5$

The second equation is $y=\frac{1}{2}x+2$

When we graph these two equations, they will meet at a point which represent the solution of the two equations.

We can solve the two equations simultaneously to determine their point of intersection.

Let us substitute the second equation into the first equation to get;

$x+\frac{1}{2}x+2=5$

Multiply through by 2 to get;

$2x+x+4=10$

Group similar terms to obtain;

$2x+x=10-4$

Simplify;

$3x=6$

Divide both sides by 3;

$\Rightarrow x=2$

Put $x=2$ into the second equation;

$y=\frac{1}{2}(2)+2$

$\Rightarrow y=1+2$

$\Rightarrow y=3$

Therefore the graphs of the two functions intersect at (2,3)

See graph in attachment.

3 0

2 years ago

2×+3(×-4)=8 what the answer to this problem

Contact [7]

Answer:

Step-by-step explanation:

2x+3(x-4)=8

2x+3x-12=8

5x-12=8

5x-12+12=8+12

5x=20

5x/5=20/5

x=4

3 0

2 years ago

Read 2 more answers

Find first derivative f(x)= x² - 4 /x³ + 9

vitfil [10]

Answer:

f'(x) = 2x + $\frac{12}{x^{4} }$

Step-by-step explanation:

differentiate using the power rule

$\frac{d}{dx}$ ( a $x^{n}$ ) = na $x^{n-1}$

Given

f(x) = x² - $\frac{4}{x^3}$ + 9 = x² - 4 $x^{-3}$ + 9 , then

f'(x) = 2x + 12 $x^{-4}$ = 2x + $\frac{12}{x^{4} }$

5 0

1 year ago

Read 2 more answers

C represents a number, which of the following statements uses the multiplicative identity?

wariber [46]

Answer:

C·1 = C

Step-by-step explanation:

Identity means an operation that doesn't change your input. Muliplying by 1 doesn't change your input.

3 0

2 years ago