Harry is building a house with a sloping roof. If the roof is 44 feet long and 10 feet high, what is the angle that the roof makes with the horizontal?

Answers

Answer 1

Answer: $Length\ and\ high\ make\ with\ horizontal\ rectangular\ triangle\n\n Length \is \ hypotenuse\ \n\ high\ and\ horizontal\ are\ cathetuses.\n\n \angle\ \alpha\ between\ length\ and\ horizontal=?\n sin \alpha =(10)/(44)\n sin \alpha \approx0,227\n \alpha \approx\ arcsin0,227\approx\ 13^\circ$

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Please help solve im stuck!

Answers

Answer:

Step-by-step explanation:

The statement that is not true (an exception is easily created) is C

Draw a 1 by 4 rectangle.

Underneath it draw a 2 by 2 rectangle.

They both have the same area (4 units) but they are not congruent. The corresponding lengths are not equal and that is another condition that must be met for there to be congruence. There are many others.

Draw a 2 by 2 square.

draw a triangle with a base of 1 and a height of 8. These two figures have the same area, but they don't even have the same number of sides.

C is simply not true.

Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?

Answers

Answer:

Step-by-step explanation:

choice A is not guaranteed since the values varied from 0 to 7.

choice B seems alright, but doesn't include about or anything about the long run.

choice C is incorrect because 50% are less than 3.12 and 50% are greater than 3.12.

choice D seems pretty good, since it says average, long run, approach, etc.

choice E is incorrect because it says "will be". It is not definite.

Final answer:

The mean of 3.12 represents the average number of days per week that members are expected to visit the fitness center.

Explanation:

The mean of the random variable X, which represents the number of days per week that members visit a fitness center, is 3.12. This means that on average, members go to the fitness center about 3.12 days each week when considering all the members surveyed. It's an overall trend that indicates the central tendency or the 'typical' value that we would expect in this data set. It is calculated by multiplying each number of visit days by its relative frequency and adding all these products together, then dividing by the total number of members.

Simplify 8(R + 6) - 2R

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8(R + 6) - 2R,8R + 48 - 2R,The result is 6R + 48

a 14 foot ladder is leaning against a building the ladder makes a 45 degree angle how far up the building does the ladder reach

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When the 14 foot ladder is leaning against a building, which is vertical as shown in the attached graph, with 45 degree angle. If we use the sin equation for this problem we can find out the answer.

Sin 45 = X / 14
X = 14 * sin45
X = 9.9 foot
Therefore ladder will reach to 9.9 foot height in the building

Decrease from 126 ounces to 48 ounces percent

Answers

Answer: There is 61.9% decrease in the value from 126 ounces to 48 ounces.

Step-by-step explanation:

Original value=126 ounces

New value = 48 ounces

Difference = 126-48 = 78 ounces

So, Percentage of decrease value is given by

$(Difference)/(Original)* 100\n\n=(78)/(126)* 100\n\n=61.9\%$

So , there is 61.9% decrease in the value from 126 ounces to 48 ounces.

Answer:

Decrease in percentage = 61.9%

Step-by-step explanation:

Decrease from 126 ounces to 48 ounces percent

First find out the amount of decrease. Subtract the number to find the amount of decrease

$126-48=78$

now find out which percentage is 78

percentage = $(78)/(126) \cdot 100=61.9$

Decrease in percentage = 61.9%

A Car is traveling westward with a constant velocity of 20 m/s, what is the net force acting on the car?

Answers

According to Newton's second law of motion, the force acting on an object is equal to the mass multiplied by the acceleration of the moving object. Since the object is moving in a constant velocity, acceleration is zero. Hence regardless of the mass of the car, the force acting is zero provided that air resistance and friction is negligible

Final answer:

The net force acting on a car moving with a constant velocity, in any direction including westward, is zero according to Newton's first law of motion.

Explanation:

The question asks about the net force acting on a car moving westward with a constant velocity of 20 m/s. According to Newton's first law, an object in motion will stay in motion with the same speed and in the same direction unless acted upon by an unbalanced force. If a car is moving with a constant velocity, this means that all the forces acting on it are balanced. As a result, the net force acting on the car is zero. This is true regardless of the direction of motion, including westward.

Learn more about Net Force here:

brainly.com/question/18109210

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