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2 years ago

72 divided by negative 9

Mathematics

2 answers:

Nataly [62]2 years ago

3 0

72 divided by negative 9 is -8

RSB [31]2 years ago

3 0

Answer:

-8

Step-by-step explanation:

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Two forces with magnitudes of 150 and 75 pounds act on an object at angles of 30° and 150°, respectively. Find the direction and

Anastaziya [24]

The problem is modelled in the first picture shown below

To work out the resultant vector, we modelled the vectors 150N and 75N as triangle AOB is shown in the second picture with AB as the resultant vector.

We use the cosine rule to work out the length AB
$AB^{2}= 75^{2}+ 150^{2}-(2*75*150*cos(60))$
$AB^{2} =28125-11250$
$AB^{2}=16875$
$AB= \sqrt{16875} =130$ (nearest whole number)

The third picture shows the full diagram of the vectors

To work out the direction of the resultant vector, we use the sin rule to find the size of angle A and angle B

Angle A
$\frac{130}{sin(60)}= \frac{75}{sin(A)}$
$130sin(A)=75sin(60)$
$sin(A)= \frac{75sin(60)}{130}$
$sin(A)=0.4996300406$
$A= sin^{-1}(0.4996300406)$
$A=30$ (rounded to nearest whole number)

Angle B
$B=180-60-30=90$

Direction is 60° toward negative x-axis

Answer: Magnitude 130N and direction 60° toward negative x-axis

3 0

3 years ago

The number 20 is no less than the difference of 4 times a number c and 8.

sammy [17]

Answer:

20 >= 4*c - 8

Step-by-step explanation:

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2 years ago

Modern parents are not trying in parenting please help debate que<br>dont steal my points

lutik1710 [3]

Answer:

Parents are too busy with their careers which leads children to seek attention by being aggressive

Parents Who Abuse Their Children Set an Example of Violence

Authoritative Parenting is Better Than Coddling to Prevent Violent Children

What About Outside Sources?

Parents Can Prevent Violence by Spending Time With Their Kids

Step-by-step explanation:

Hope this helped!

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2 years ago

Can someone answer this with work :)

olga nikolaevna [1]

Answer:

A15+B10=cents

Step-by-step explanation:

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2 years ago

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard devia

PSYCHO15rus [73]

Using the normal distribution, it is found that the two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 0, \sigma = 1$ .

The z-score that cuts off the bottom and top 2.5% of the distribution is $z = \pm 1.96$ , hence:

$Z = \frac{X - \mu}{\sigma}$

$-1.96 = \frac{X - 0}{1}$

X = -1.96

$Z = \frac{X - \mu}{\sigma}$

$1.96 = \frac{X - 0}{1}$

X = 1.96

The two readings that are cutoff values separating the rejected thermometers from the others are -1.96ºC and 1.96ºC.

More can be learned about the normal distribution at brainly.com/question/27879230

#SPJ1

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2 years ago