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3 years ago

3+ 5/7x_>_1+x? Hdjdhdudjdjdheirhdhfhhfh

Mathematics

1 answer:

Gnesinka [82]3 years ago

7 0

Answer:

Step-by-step explanation:

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The components of vector are ax and ay (both positive), and the angle that it makes with respect to the positive x axis is θ. Fi

Andru [333]

we can use formula

$\theta=tan^{-1}(\frac{a_y}{a_x})$

(a)

we are given

$a_x=12,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{12})$

$\theta=tan^{-1}(1)$

$\theta=\frac{\pi}{4}rad$

(b)

we are given

$a_x=20,a_y=12$

now, we can plug values

$\theta=tan^{-1}(\frac{12}{20})$

$\theta=tan^{-1}(\frac{3}{5})$

$\theta=30.96^{\circ \:}$

(c)

we are given

$a_x=12,a_y=20$

now, we can plug values

$\theta=tan^{-1}(\frac{20}{12})$

$\theta=tan^{-1}(\frac{5}{3})$

$\theta=59.03^{\circ \:}$

6 0

3 years ago

A waether forecast predicts a 30% chance of rain for each of the next 3 days. Describe a way to stimulate the chance that it wil

DerKrebs [107]

Using a binomial distribution considering there's a 30% chance it will rain on any of the three days:

The probability of it raining on 0 days is (1)(0.7)(0.7)(0.7) = 34.3%. 
The probability of it raining on 1 day is (3)(0.3)(0.7)(0.7) = 44.1%. 
The probability of it raining on 2 days is (3)(0.3)(0.3)(0.7) = 18.9%. 
The probability of it raining on 3 days is (1)(0.3)(0.3)(0.3) = 2.7%. 

There's a 65.7% chance that it will rain at least once over the three-day period.

5 0

3 years ago

Point K is on line segment JL. Given JK = 2x – 2, KL

Scorpion4ik [409]

Answer:

KL = 10

Step-by-step explanation:

JK + KL = JL

2x – 2 + x – 9 = 2x + 8

Combine like terms

3x -11 = 2x+8

Subtract 2x from each side

3x-2x -11 = 2x+8-2x

x-11 = 8

Add 11 to each side

x-11+11 = 8+11

x = 19

KL = x – 9

= 19-9

= 10

8 0

3 years ago

Write the expression (2−3i)+5i(1−3i) as a complex number in standard form.

Katarina [22]

Answer:

17 + 2i

Step-by-step explanation:

Given

(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis

= 2 - 3i + 5i - 15i² [ i² = - 1 ]

= 2 + 2i + 15

= 17 + 2i ← in standard form

5 0

3 years ago

In a class of 40 students of the total number of students like to study English and of the total number of students like to stud

RUDIKE [14]

Answer:

10/100

Step-by-step explanation:

6 0

3 years ago