Explain 2 different ways to find the greatest common factor of 15x2y3 and 24x4y2 .
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The length of the base of a rectangular pyramid is tripled, the width of the base remains the same, and the height of the pyramid is divided by 7. What volume formula reflects these changes?
Help I can't find any information
a parking garage charges $2 for the first hour and $1 for each additional hour. Fran has $7.50 to spend for parking. what is the greatest number of hours Fran can park?
Audrey wants to ride her bicycle 44 miles this week. She has already ridden 12 miles. If she rides for 5 more days, write and solve an equation which can be used to determine x, the average number of miles she would have to ride each day to meether goal.
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Answer:A
Step-by-step explanation:
To find the measure of angle ABC in triangle ABC, we can use the properties of perpendicular bisectors.
Since the perpendicular bisector of side AB intersects the extension of side AC at point D, we know that AD = DB. Therefore, triangle ABD is an isosceles triangle.
In an isosceles triangle, the angles opposite the equal sides are also equal. So, we have:
∠ABD = ∠ADB
Since ∠CBD = 16° and ∠ACB = 118°, we can find ∠ADB as follows:
∠ADB = 180° - ∠CBD - ∠ACB
= 180° - 16° - 118°
= 46°
Since ∠ABD = ∠ADB, we have:
∠ABD = 46°
Now, we can find ∠ABC:
∠ABC = 180° - ∠ABD - ∠ACB
= 180° - 46° - 118°
= 16°
Therefore, the measure of ∠ABC is 16 degrees. So, the correct answer is A. 16 degrees.
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Time after which his son James starts the chase = 2 1/2 hours
= 5/2 hours
= 2.5 hours
Then
time after which James will catch Mr.Johnson = 5 + 2.5 hours
= 7.5 hours
Distance traveled by Mr.Johnson in 7.5 hours = 24 * 7.5 miles
= 180 miles
So the distance James need to cover is 180 miles and that has to be covered in 5 hours
So
Speed at which James needs to travel = 180/5 miles per hour
= 36 miles per hour
From the above deduction we can conclude that James needs to travel at a speed of 36 miles per hour to catch his fathe in 5 hours.
Final answer:
To overtake his father in 5 hours, who started 2.5 hours earlier, James will need to travel at an average speed of 36 mph.
Explanation:
This is a relative speed problem in physics. The father departs first and travels for a total of 7.5 (5+2.5) hours at a speed of 24 mph. Therefore, Mr. Johnson travels a total distance of 180 (24 * 7.5) miles. James leaves 2 1/2 hours after his father and needs to cover the same distance in 5 hours to overtake him. Therefore, by dividing the total distance (180 miles) by the time (5 hours), we find that James needs to travel at 36 mph to overtake his father.
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Answer:
8n
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
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Haha, get it? :P
Final answer:
The 'Puzzle Time' questions in the Big Ideas Math program, such as 'Why did the picture go to jail?' are meant to stimulate critical thinking. The answer to this question is a pun, 'It was framed', playing on the double meaning of 'framed' in art and legal terms.
Explanation:
The question, 'Why did the picture go to jail?' is a part of the 'Puzzle Time' in the Big Ideas Math Red Book program, which is designed to engage students' critical thinking and analytical abilities. Such questions often involve puns or riddles that use mathematical concepts. Answers to these are typically humorous, pun-based or involve wordplay.
In this case, the answer to the question, 'Why did the picture go to jail?' is because 'It was framed'. This answer plays on the double meaning of the word 'framed' - in the art world, where a picture is placed in a frame, and in legal parlance, where someone is falsely accused or 'framed' for a crime they did not commit.
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tower as 42°. When he looks down, he estimates the angle of
depression to the bottom of the tower as 32°. How high is the tower
to the nearest tenth of a metre?
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The required height of the tower is given as 61 meters.
What are trigonometric equations?
These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.
What are Pythagorean triplets?
In a right angled triangle, its side, such as hypotenuse, perpendicular and base is Pythagorean triplets.
here,
To determine the height of the tower,
h = 40 tan 32° + 40 tan 42°
h = 61 m
Thus, the required height of the tower is given as 61 meters.
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Answer:
Step-by-step explanation:
h = 40 tan 32° + 40 tan 42° ≈ 61.0 m
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Answer:
Step-by-step explanation: