![scottcourtney460](/avatars/7502.jpg)
scottcourtney460
14.01.2021 •
Mathematics
The graph of line m is shown. What is the equation of the line that is perpendicular to line m and passes through the point (3,2)
Solved
Show answers
More tips
- H Health and Medicine Coughing: Causes, Types, and Treatment Methods...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- H Health and Medicine How to Calm Your Nerves? Expert Tips That Actually Work...
- A Animals and plants 5 Tips for Taking Care of Yews to Keep Them Green and Beautiful...
- S Sport How to wrap boxing hand wraps? Everything you need to know!...
- F Food and Cooking 10 Reasons Why You Should Avoid Giving Re-Gifts: An Informative Guide...
- F Family and Home Tender Care for Your Parquet: Is it Possible to Clean Parquet?...
- S Style and Beauty How Are Eyelash Extensions Applied? All Your Questions Answered...
- F Food and Cooking 10 Tips for Proper Sushi Consumption...
Answers on questions: Mathematics
- M Mathematics Write this in expanded form 284,028...
- M Mathematics Cody is selling popcorn for his scout troop. he has to raise $350. so far he has $284. how much more does cosy need to raise to meet his goal? write and solve an equation...
- M Mathematics The scale of a model airplane is 1: 72. if the wingspan on the model airplane is 7 inches, then the actual wingspan is a. 540 feet b.72 feet c. 45 feet d. 9.6 feet...
- M Mathematics The cost of attending a certain college is currently 12300 per year. there will be a 15% increase next year. what is the cost of attending this college next year?...
- M Mathematics The height of a a triangle is 6 centimeters more than double its base in centimeters. what is the height of the triangle, in centimeters, if the base of the triangle is 8...
- M Mathematics There is 1/4 of a pear in every container of fruit salad. show the number of pears in 8 containers using a fraction....
- M Mathematics Last year, the store sold 240 purple iris bulbs. the store manager noted that the ratio of purple to total iris bulbs sold was 3: 8. how many iris bulbs were sold?...
- M Mathematics Ryan ran a 5 km race using 1 mile = 1.61 how many mile did she run...
- M Mathematics Someone me with this geometry homework...
- M Mathematics Eve has two books and a lunchbox in her backpack. each book weighs 5/8 pound. the total weight in her backpack is 2 2/3 pounds. how much does eve s lunch box weigh....
Ответ:
Question
A rectangular pyramid has a height of 5 units and a volume of 60 units3. Shannon states that a rectangular prism with the same base area and height has a volume that is three times the size of the given rectangular pyramid. Which statement explains whether Shannon is correct?
a) A rectangular prism in which BA = 36 and h = 5 has a volume of 180 units³; therefore, Shannon is correct.
b) A rectangular prism in which BA = 12 and h = 5 has a volume of 180 units³; therefore, Shannon is correct.
c) A rectangular prism in which BA = 36 and h = 5 has a volume of 60 units³; therefore, Shannon is incorrect.
d) A rectangular prism in which BA = 12 and h = 5 has a volume of 60 units³; therefore, Shannon is incorrect.
a) A rectangular prism in which BA = 36 and h = 5 has a volume of 180 units³; therefore, Shannon is correct.
Step-by-step explanation:
The formula for the volume of a Rectangular Pyramid = 1/3 × Base Area × Height
In the question,
Base Area = ?
Height = 5 units
Volume = 60 units³
So,
60= 1/3 × BA × 5
Cross Multiply
180 = 5BA
BA = 180/5
BA = 36 units²
Also, the Volume of a Rectangular Prism =
Base Area × Height
From the above question
Base Area = 36 units²
Height = 5 units
Volume of the Rectangular prism = 36 units² × 5 units
= 180 units³
Therefore , the statement that explains whether Shannon is correct is option a,
" A rectangular prism in which BA = 36 and h = 5 has a volume of 180 units³; therefore, Shannon is correct.