Maths-
General
Easy
Question
Which of the following expresses the riser height in terms of the tread depth?
When designing a stairway, an architect can use the riser-tread formula 
, where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.
Hint:
Hint:
- An algebraic expression is the combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations
The correct answer is:
Explanation:
- We have given the relation between riser height and tread depth as .
- We have to express the riser height in terms of tread height.
Step 1 of 1:
The given expression is
Now take d to the right-hand side
Now divide both side with 2
So,
.
So, Option(B) is correct.
.Related Questions to study
Maths-
Oil and gas production in a certain area dropped
from 4 million barrels in 2000 to 1.9 million barrels
in 2013. Assuming that the oil and gas production
decreased at a constant rate, which of the following
linear functions f best models the production, in
millions of barrels, t years after the year 2000?
Oil and gas production in a certain area dropped
from 4 million barrels in 2000 to 1.9 million barrels
in 2013. Assuming that the oil and gas production
decreased at a constant rate, which of the following
linear functions f best models the production, in
millions of barrels, t years after the year 2000?
Maths-General
Maths-
Over which of the following time periods is the average growth rate of the sunflower least?
In 1919,H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.
Over which of the following time periods is the average growth rate of the sunflower least?
In 1919,H. S. Reed and R. H. Holland published a paper on the growth of sunflowers. Included in the paper were the table and graph above, which show the height h, in centimeters, of a sunflower t days after the sunflower begins to grow.
Maths-General
Maths-
If 
, what is the value of 
?
If , what is the value of ?
Maths-General
Maths-
Points A and B lie on a circle with radius 1 , and arc 
has length 
. What fraction of the circumference of the circle is the length of arc ?
Points A and B lie on a circle with radius 1 , and arc has length . What fraction of the circumference of the circle is the length of arc ?
Maths-General
Maths-
An architect wants to use the riser-tread formula to design a stairway with a total rise of 9 feet, a riser height between 7 and 8 inches, and an odd number of steps. With the architect's constraints, which of the following must be the tread depth, in inches, of the stairway? ( 1 foot = 12 inches)
When designing a stairway, an architect can use the riser-tread formula , where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.
An architect wants to use the riser-tread formula to design a stairway with a total rise of 9 feet, a riser height between 7 and 8 inches, and an odd number of steps. With the architect's constraints, which of the following must be the tread depth, in inches, of the stairway? ( 1 foot = 12 inches)
When designing a stairway, an architect can use the riser-tread formula , where h is the riser height, in inches, and d is the tread depth, in inches. For any given stairway, the riser heights are the same and the tread depths are the same for all steps in that stairway.
The number of steps in a stairway is the number of its risers. For example, there are 5 steps in the stairway in the figure above. The total rise of a stairway is the sum of the riser heights as shown in the figure.
Maths-General
Maths-
A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
A group of 202 people went on an overnight camping trip, taking 60 tents with them. Some of the tents held 2 people each, and the rest held 4 people each. Assuming all the tents were filled to capacity and every person got to sleep in a tent, exactly how many of the tents were 2-person tents?
Maths-General
Maths-
In the xy -plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates (10, -5). If 
is a diameter of the circle, what are the coordinates of point Q?
In the xy -plane, the graph of the equation above is a circle. Point P is on the circle and has coordinates (10, -5). If is a diameter of the circle, what are the coordinates of point Q?
Maths-General
Maths-
How many liters of a 
saline solution must be added to 3 liters of a 
saline solution to obtain a 
saline solution?
How many liters of a saline solution must be added to 3 liters of a saline solution to obtain a saline solution?
Maths-General
Maths-
For the solution (x, y) to the system of equations above, what is the value of x - y?
For the solution (x, y) to the system of equations above, what is the value of x - y?
Maths-General
Maths-
What is the sum of the solutions to
What is the sum of the solutions to
Maths-General
Maths-
In the figure above, is parallel to . What is the length of ?
In the figure above, is parallel to . What is the length of ?
Maths-General
Maths-
A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds. Which of the following conclusions is best supported by the sample data?
A study was done on the weights of different types of fish in a pond. A random sample of fish were caught and marked in order to ensure that none were weighed more than once. The sample contained 150 largemouth bass, of which 30% weighed more than 2 pounds. Which of the following conclusions is best supported by the sample data?
Maths-General
Maths-
Between 1497 and 1500 , Amerigo Vespucci embarked on two voyages to the New World. According to Vespucci's letters, the first voyage lasted 43 days longer than the second voyage, and the two voyages combined lasted a total of 1,003 days. How many days did the second voyage last?
Between 1497 and 1500 , Amerigo Vespucci embarked on two voyages to the New World. According to Vespucci's letters, the first voyage lasted 43 days longer than the second voyage, and the two voyages combined lasted a total of 1,003 days. How many days did the second voyage last?
Maths-General
Maths-
In 2008 , there were 21 states with 10 or more electoral votes, as shown in the table above. Based on the table, what was the median number of electoral votes for the 21 states?
In 2008 , there were 21 states with 10 or more electoral votes, as shown in the table above. Based on the table, what was the median number of electoral votes for the 21 states?
Maths-General
Maths-
As part of an experiment, a ball was dropped and allowed to bounce repeatedly off the ground until it came to rest. The graph above represents the relationship between the time elapsed after the ball was dropped and the height of the ball above the ground. After it was dropped, how many times was the ball at a height of 2 feet?
As part of an experiment, a ball was dropped and allowed to bounce repeatedly off the ground until it came to rest. The graph above represents the relationship between the time elapsed after the ball was dropped and the height of the ball above the ground. After it was dropped, how many times was the ball at a height of 2 feet?
Maths-General
