Apple trees cost $ 30 each, and cherry trees cost $ 40 each. Rohan has $ 600 to spend on fruit trees.

postnew [5]

Using vector concepts, it is found that:

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

<h3>How can a vector be represented in component notation?</h3>

Given a magnitude M and angle $\theta$ , then a vector V can be represented as follows in component notation:

$V = (M\cos{\theta}, M\sin{\theta})$

In this problem, the magnitude and the angle are given, respectively, by:

$M = 12, \theta = 143^\circ$

Hence:

V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).

Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).

The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.

More can be learned about vectors at brainly.com/question/24606590

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8 0

2 years ago

What two numbers are located 1/2 of a unit form 1/6 on the number line

weeeeeb [17]

Basically we need to add and subtract 1/2 from 1/6:

(1) 1/6 - 1/2 = 1/6 - 3/6
= -2/6
= -1/3

(2) 1/6 + 1/2 = 1/6 + 3/6
= 4/6
= 2/3

Therefor the two numbers that are located 1/2 unit from 1/6 are -1/3 and 2/3

5 0

3 years ago

What is the probability that a randomly selected male will have a foot length between 8 and 12.5 inches? P(8 < r < 12.5)=

melisa1 [442]

Answer:

0.8185 or 81.85%

Step-by-step explanation:

The mean length (μ) of an adult foot is 11 and the standard deviation (σ) is 1.5.

The z score is a measure in statistic used to determine the amount of standard deviation by which the raw score (x) is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean the z sore is negative. It is given by:

$z=\frac{x-\mu}{\sigma}$

To calculate the probability that a randomly selected male will have a foot length between 8 and 12.5 inches, we first calculate the z score for 8 inches and then for 12.5 inches.

For 8 inches:

$z=\frac{x-\mu}{\sigma}=\frac{8-11}{1.5}=-2$

For 12.5 inches:

$z=\frac{x-\mu}{\sigma}=\frac{12.5-11}{1.5}=1$

From the normal distribution table, The probability that a randomly selected male will have a foot length between 8 and 12.5 inches = P(8 < x < 12.5) = P(-2 < z < 1) = P(z < 1) - P(z < -2) = 0.8413 - 0.0228 = 0.8185 = 81.85%

4 0

3 years ago

6a*2-a-15 factoring and soulutions

eduard

6a(2)-a-15
=12a+-a+-15
Combine Like Terms:=12a+−a+−15=(12a+−a)+(−15)=11a+−15Answer:=11a−15 

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4 0

3 years ago

State the type of angles and solve for the given variable.

Evgen [1.6K]

Step-by-step explanation:

the given pair is Alternate Exterior Angle

so their values are equal so,

→ 2x + 26 = 3x - 33

→ 2x - 3x = -33 - 26

→ x = 59

therefore option C is correct

hope this answer helps you dear...take care and may u have a great day ahead!

6 0

3 years ago