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3 years ago

Plz answer asap!!!!!!

Mathematics

1 answer:

Hoochie [10]3 years ago

8 0

Answer:

y = 9

Step-by-step explanation:

m<1 + 2x = 180° because these angles are supplementary

61° + 2x° = 180°

2x = 180 - 61

2x = 119 divide both sides by 2

x = 59.5

Since f is parallel to s:

2x + (7y-2) = 180°

2×59.5 + 7y - 2 = 180

119 + 7y - 2 = 180

7y = 180 - 117

7y = 63 divide both sides by 7

y = 9

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Answer:

Step 2

Step-by-step explanation:

The answer should be 15x^2-3x^2y^2+y^4+3y

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3 years ago

Inverse function y = x2 − 18x.

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3 years ago

Find the exact value of the following, without using a calculator.

bekas [8.4K]

9514 1404 393

Answer:

(√17 -4√595)/102

Step-by-step explanation:

To use the sine of the angle sum formula, we need to know the sine and cosine of each of the angles.

sin(sin^-1(1/6)) = 1/6 . . . . a first-quadrant angle

cos(sin^-1(1/6)) = √(1 -(1/6)²) = √(35/36) = (√35)/6

sin(tan^-1(-4)) = -4/√(1+(-4)²) = -4/√17 . . . . a 4th-quadrant angle

cos(tan^-1(-4)) = √(1 -(-4/√17)²) = 1/√17

The sum of angles formula is ...

sin(α+β) = sin(α)cos(β) +cos(α)sin(β)

So, our sine is ...

$\sin\left(\sin^{-1}\left(\dfrac{1}{6}\right)+\tan^{-1}(-4)\right)=\dfrac{1}{6}\cdot\dfrac{1}{\sqrt{17}}+\dfrac{\sqrt{35}}{6}\cdot\dfrac{-4}{\sqrt{17}}\\\\=\dfrac{1-4\sqrt{35}}{6\sqrt{17}}=\boxed{\dfrac{\sqrt{17}-4\sqrt{595}}{102}}$

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3 years ago

What is the value of 8n when n=2

marusya05 [52]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

52% of all Americans are home owners. If 45 Americans are randomly selected, find the probability that a. Exactly 21 of them are

Nataly [62]

Answer:

0.0918 ; 0.6277 ; 0.6064; 0.5055

Step-by-step explanation:

Given that :

Proportion of home owners : p = 0.52

Number of trials = 45

Using binomial distribution formula :

P(x =x) = nCr * p^x * (1 - p)^(n-x)

A.) probability that exactly 21 are homeowners :

P(x = 21) = 45C21 * 0.52^21 * (1 - 0.52)^(45 - 21)

P(x = 21) = 45C21 * 0.52^21 * 0.48^24

P(x = 21) = 3773655750150 * 0.52^21 * 0.48^24

P(x = 21) = 0.0918

b. At most 24 of them are are home

Using the binomial probability to save computation time.

P(x ≤ 24) = p(0) + p(1) +.... + p(24)

P(x ≤ 24) = 0.6277

C.) At least 23 of them are home owners.

P(x ≥ 23) = p(23) + p(24) +... + p(45)

P(x ≥ 23) = 0.6064

d. Between 20 and 24 (including 20 and 24) of them are home owners.

P(20 ≤ x ≤ 24) = p(20) + p(21) + p(22) + p(23) + p(24)

P(20 ≤ x ≤ 24) = 0.0711 + 0.0918 + 0.1084 + 0.1175 + 0.1167

P(20 ≤ x ≤ 24) = 0.5055

8 0

3 years ago