MATHEMATICS HIGH SCHOOL

Mr.lopez wrote the equation 32g+8g-10g=150

Answers

Answer 1

Answer:

Answer:

g=5

Step-by-step explanation:

32g+8g-10g=150

30g=150

g=5

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The blades of a windmill turn on an axis that is 30 feet from the ground. The blades are 10 feet long and complete 2 rotations every minute. Write a sine model, y = asin(bt) + k, for the height (in feet) of the end of one blade as a function of time t (in seconds). Assume the blade is pointing to the right when t=0 and that the windmill turns counterclockwise at a constant rate.

Answers

The sine model is y=10 sin(1/30 t) + 30. The 30 represents default distance from the ground, and the ten is required to represent the length of the blades. Every 30 seconds, one rotation completes, so t must be multiplied by 1/30.

The sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) is; y = 30sin(πt/15) + 30

How to solve Sine Functions?

The period of a sine function is represnted as;

b = 2π

This period is usually repeated after each 2π units.

The sine model is expressed as;

y = a(sin (bt)) + k

We are told that the blades are 10 feet long and complete 2 rotations every minute. Thus the period is;

b = (2π/60) * 2

b = π/15

The blades of a windmill turn on an axis that is 30 feet from the ground and the blades are 10 ft long. Thus,

k = 30 and a = 10

Plugging the relevant values into the given formula gives;

y = 30sin(πt/15) + 30

Thus, the sine model for the height (in feet) of the end of one windmill blade as a function of time t (in seconds) is;

y = 30sin(πt/15) + 30

Read more about sine functions at; brainly.com/question/9565966

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Convert 18/5 to a mixed number

Answers

your answer would be 3 an 3/5 :) hope i helped ! :D:D:D:D:D:D:D

To convert 18/5 to a mixed number all you have to do is divide 18 by five this would give you 3.6 all you have do do after that would be to change it back into a fraction.

Calculate cos theta to two decimal places

Answers

Answer:

B. 0.72

Step-by-step explanation:

In order to find the answer we need to use the following formula:

$a^2=b^2+c^2-2bc*cos(\theta)$ where:

a, b, c are the length of the sides and $\theta$ the angle, so:

$7^2=10^2+8^2-(2*10*8)*cos(\theta)$

$49=164-(160)*cos(\theta)$

$cos(\theta)=0.71875$

In conclusion, $cos(\theta)=0.72$ , so the answer is B.

For each group of three forces below, determine whether the forces in each pair are pulling at right angles to each other.A. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, yes

B. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, yes

C. 12 lb, 13 lb, resultant force 19 lb, yes; 15 lb, 36 lb, resultant force 39 lb, no

D. 12 lb, 13 lb, resultant force 19 lb, no; 15 lb, 36 lb, resultant force 39 lb, no

Answers

To condition in which we can justify if the forces are pulling at right angles to each other is that the sum of the squares of the two lesser number should be equal to the square of the third number.

For the first set: 12 lb, 13lb, 19lb.

12^2 + 13^2 ≠ 19^2

For the second set: 15 lb, 36 lb, 39 lb

15^2 + 36^2 = 39^2

The first pair of forces do not pull at a right angle while the second do.
Thus, the answer is letter B.

Simplify the following

Square root 15 / Square root 3

Answers

Answer:

The answer is √5 .

Step-by-step explanation:

Youhavetorationalizethefractioninordertogetridofsurdinthedenorminatorbymultiplying√3tobothnumeratoramddenorminator:

$( √(15) )/( √(3) )$

$= ( √(15) )/( √(3) ) * ( √(3) )/( √(3) )$

$= ( √(15) * √(3) )/( √(3) * √(3) )$

$= ( √(45) )/(3)$

$= ( √(9 * 5) )/(3)$

$= (3 √(5) )/(3)$

$= √(5)$

Fill in the other coordinate for the line 7x - 5y = 21: (4, )

Answers

7x - 5y = 21....(4,?)...so sub in 4 for x and solve for y
7(4) - 5y = 21
28 - 5y = 21
-5y = 21 - 28
-5y = - 7
y = 7/5

check..
7(4) - 5(7/5) = 21
28 - 35/5 = 21
28 - 7 = 21
21 = 21 (correct)

the other coordinate is 7/5......(4,7/5)

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