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tankabanditka [31]
3 years ago
6

Y’all I need help on #9

Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

8° = y

12° = x

________________

11° = z

7° = y

23 = x

Step-by-step explanation:

<u>What</u><u> </u><u>you</u><u> </u><u>need</u><u> </u><u>to know</u>

- m∠K ≅ m∠W; KB = WM

- m∠G ≅ m∠T; KG = WT

- m∠B ≅ m∠M; GB = TM

45° = [4x - 3]°

+ 3° + 3°

____________

\frac{48°}{4°} = \frac{[4x]°}{4°} \\ \\ 12° = x

Then use the Triangular Interior Angles Theorem to find the m∠Mthen set that equal to the m∠B:

180° = 41° + 45° + m∠M

180° = 86° + m∠M

- 86° - 86°

______________

94° = m∠M

94° = [11y + 6]°

- 6° - 6°

__________

\frac{88°}{11°} = {[11y]°}{11°} \\ \\ 8° = y

_______________________________________________

<u>What</u><u> </u><u>you</u><u> </u><u>need</u><u> </u><u>to know</u>

- m∠H ≅ m∠S; HC = SP

- m∠F ≅ m∠R; CS = RP

- m∠C ≅ m∠P; HF = SR

90° = [13y - 1]°

+ 1° + 1°

______________

\frac{91°}{13°} = \frac{[13y]°}{13°} \\ \\ 7° = y \\ \\ 90° = m∠R

Then use the Triangular Interior Angles Theorem to find the m∠Sthen set that equal to the m∠H:

180° = 28° + 90° + m∠S

180° = 118° + m∠S

- 118° - 118°

______________

62° = m∠S

62° = [6z - 4]°

+ 4° + 4°

____________

\frac{66°}{6°} = \frac{[6z]°}{6°} \\ \\ 11° = z

I am joyous to assist you anytime.

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For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

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3 years ago
What iS the common ratio of the geometric sequence of -2,4,-8,16,-32,
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Answer:

Step-by-step explanation:

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Triangle ABC is translated to create triangle DFG, as shown below.
Anton [14]

Answer:

x=3

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Step-by-step explanation:

Given

The translated triangles

Required

Find x and y

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AB = DF

BC = FG

AB = DF means:

3(2x + 10) = 12x + 12

Open bracket

6x + 30 = 12x + 12

Collect like terms

12x - 6x = 30 -12

6x = 18

Divide by 6

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2y + 12 = 2(2y - 3)

Open bracket

2y + 12 = 4y - 6

Collect like terms

4y - 2y = 12+6

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3 years ago
(Congruent polygons)
olasank [31]
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7. is 135
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9. sorry can't help you on this one.
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3 years ago
Find the sum of -75 and 105​
Elan Coil [88]

Answer:

Sum is 30

Explanation:

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