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bazaltina [42]
3 years ago
6

If your teacher tells you to do questions 28 through 41 in your math book for homework, how many questions is that?

Mathematics
2 answers:
ANTONII [103]3 years ago
5 0
41-28=13 questions, but you also have to do 41 and 28, so 15 questions
klasskru [66]3 years ago
3 0

Answer:

14 questions.

Step-by-step explanation:

We have been given that your teacher tells you to do questions 28 through 41 in your math book for homework. We are asked to find he total number of questions.

Since we need to solve questions 28 through 41, this means we have to solve question number 28 and 41 as well.

We know that 28-37 would be 10 questions and 38-41 would be 4 questions.

\text{Total questions}=10+4

\text{Total questions}=14

Therefore, you need to solve 14 questions to complete the homework.

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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

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