Choose the list that shows these numbers in order from smallest to largest.
1 answer:
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Answer:
The staircase would extends 1.20 m if the changes were made.
Step-by-step explanation:
Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:
To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.
using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.
So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.
Answer:
Correct integral, third graph
Step-by-step explanation:
Assuming that your answer was 'tan³(θ)/3 + C,' you have the right integral. We would have to solve for the integral using u-substitution. Let's start.
Given : ∫ tan²(θ)sec²(θ)dθ
Applying u-substitution : u = tan(θ),
=> ∫ u²du
Apply the power rule ' ∫ xᵃdx = x^(a+1)/a+1 ' : u^(2+1)/ 2+1
Substitute back u = tan(θ) : tan^2+1(θ)/2+1
Simplify : 1/3tan³(θ)
Hence the integral ' ∫ tan²(θ)sec²(θ)dθ ' = ' 1/3tan³(θ). ' Your solution was rewritten in a different format, but it was the same answer. Now let's move on to the graphing portion. The attachment represents F(θ). f(θ) is an upward facing parabola, so your graph will be the third one.
