Answer:
The height of the toy is 9 feet after 1 second
Step-by-step explanation:
we have

where
h(t) is the toys height from the ground
t is the time in seconds
so
For t=1 sec
substitute the value of t in the quadratic equation and solve for h(t)


Base times height and you have your answer
Answer:
Length of the ladder used by worker = 17 feet
Step-by-step explanation:
Given:
Height of the window from the ground = 13 ft
Distance of fence from the building = 3 ft
Distance of ladder from the building = (3+8) = 11 ft
We have to find the length of the ladder.
Let the length of the ladder be 'x'
From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.
Using Pythagoras formula:
⇒ 
Here base length = 11 ft
Perpendicular = 13 ft
Plugging the values:
⇒
⇒ 
⇒ 
⇒
feet
The length of the ladder = 17 feet to its nearest tenth.
Answer:
61
Step-by-step explanation:
If you want only the middle number, then call it x
the largest of the 3 is x + 1
The smallest of the 3 is x - 1
Add
x + 1 + x - 1 + x = 183 Cancel the 1s out.
x + x + x = 183 Combine the like terms on the left
3x = 183 Divide by 3
x = 183/3 Do the division
x = 61
The middle number is 61
Answer: x=2
Step-by-step explanation:
first subtract 3x from both sides
then your equation will be 8x-7=9 then you will add 7 to both sides getting 8x=16 then divide both sides by 8 and x=2