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2 years ago

Find m∠X. Put the answer below. m∠X =

Mathematics

1 answer:

vodomira [7]2 years ago

5 0

Answer:

∠ X = 30°

Step-by-step explanation:

Using the sine ratio in the right triangle

sinX = $\frac{opposite}{hypotenuse}$ = $\frac{YZ}{XZ}$ = $\frac{2\sqrt{2} }{4\sqrt{2} }$ = $\frac{2}{4}$ = $\frac{1}{2}$ , then

∠ X = $sin^{-1}$ ( $\frac{1}{2}$ ) = 30°

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Estimate by first rounding each number to the nearest integer.

posledela

$4 \frac{1}{9} + 2\frac{ 2}{13} =4 \frac{13}{117} + 2\frac{ 18}{117} =6\frac{31}{117}\approx 6\\ \\Answer: \ \ C.\ \ 6$

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3 years ago

Factor by grouping. 9c^3-12c^2+18c-24

xeze [42]

Answer:

$9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]$

Step-by-step explanation:

Given

$9c^3 - 12c^2 - 18c - 24$

Required

Factor

Group into 2

$[9c^3 - 12c^2] - [18c + 24]$

Factorize each group

$3c^2[3c - 4] - 6[3c - 4]$

Factor out 3c - 4

$[3c^2 - 6][3c - 4]$

Hence:

$9c^3 - 12c^2 - 18c - 24= [3c^2 - 6][3c - 4]$

8 0

2 years ago

Plz help ill give 15 points

yan [13]

Answer:

Step-by-step explanation:

5 0

2 years ago

Find the value of tanθ, if cosθ = 4/5 ; 0° ≤ θ< 90°

Montano1993 [528]

Answer:

Step-by-step explanation:

Given

cosθ = 4/5
0° ≤ θ < 90°

In the first quadrant both sine and cosine are positive, so as tangent.

tanθ = sinθ / cosθ =
$\sqrt{1 - cos^2}$ θ / cosθ =
$\sqrt{1 - (4/5)^2}$ / 4/5 =
$\sqrt{9/25}$ / 4/5 =
3/5*5/4 =
3/4

4 0

2 years ago

If 2x^2+2x=12, what is x?

Rainbow [258]

Answer:

x= 2

x= -3

Step-by-step explanation:

Solving as normal quadratic equation:

2x^2+2x=12
x^2 +x = 6
x^2 + x - 6= 0
x = (-1 ± √(1+4*1*6)/2
x = ( - 1 ± √25)/2
x = (-1 ± 5)/2
x= 2
x= -3

Roots are 2 and -3

5 0

3 years ago

Read 2 more answers