Answer:
6 brochures
Step-by-step explanation:
Each brochures is 23 centimeters wide.
The table is 1.5 meters wide.
To know how many brochures can be placed side by side on the table first you have to calculate how many centimeters there are in 1.5 meters wide.
One meter equals 100 centimeters.
Therefore in 1.5 meters there are:
centimeters.
Now we must calculate in how many parts of 23 cm can be divided 150 cm.
To do this we made the division of 150 between 23
This means that up to 6 brochures of 23 cm can be placed side by side on the table
I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)
y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²
we want to find z so combine the equations by substituting the other variables x,y out.
substitute y² for (x² - 4²) in 1st equation.
(x² - 4²) + 9² = z²
now by rearranging the 2nd equation we can substitute x² for (13² - z²)
(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z
13 goes in the box
$248.62 rounded to the nearest dollar would be $249.
That is because numbers 1-5 would round a number down and numbers 6-9 would round a number up.
Since the number in the tenth place is 6 it would round up to $249
Answer:
B(m)=A(m)-D(m)
B(m)=176m
Step-by-step explanation:
we are given
Walking on his own, the distance, D, in feet, that Roberto can cover in M, minutes is given by the function
D(m)=264m
When he walks on the moving sidewalk at the airport, the distance, A, in feet, that he can cover in m m minutes is given by the function
A(m)=440m
B is the distance, in feet, that Roberto would travel on the moving sidewalk in m minutes if he were standing still
moving sidewalk distance = standstill distance + walking distance
A(m)=D(m)+B(m)
so, we get
B(m)=A(m)-D(m)
now, we can plug values
B(m)=440m-264m
B(m)=176m
<u>ANSWER</u>
a. 12 units
<u>EXPLANATION</u>
According to the altitude theorem, RT which is the altitude, is equal to the geometric mean of TQ and TS, the segments created by the foot of the altitude on the hypotenuse.
This implies that:

From the diagram, TQ=16 and TS=9.
We substitute these values and solve for x.



Therefore x is 12 units.
The correct answer is A