First we need to find how far away the base of the ladder is from what it is leaning against. The ramp is the hypotenuse and the height from the ground in a leg. Let’s use Pythagorean’s theorem.
a^2 + b^2 = c^2
Substitute
a^2 + (5)^2 = (20)^2
Solve for a^2
a^2 = (20)^2 - (5)^2
Solve for a
a = 5 √15
The slope will be rise over run
5/5 √15 = √15/15 or 0.258…
Answer:
7 is not a solution for x.
Step-by-step explanation:
To see if 7 is a solution for x, we will simply plug in the value for x and see if the left hand side is equal to the right hand side.
3x + 8 - x = 57 - 4
3(7) + 8 - (7) ?= 57 - 4
21 + 8 - 7 ?= 53
29 - 7 ?= 53
22 ?= 53 (( NO ))
Since 22 does not equal 53, 7 is not a solution for x.
Let's find the solution for x:
3x + 8 - x = 57 - 4
2x + 8 = 53
2x = 45
x = 22.5
Let's validate this solution for x:
3x + 8 - (x) = 57 - 4
3(22.5) + 8 - (22.5) ?= 57 - 4
67.5 + 8 - 22.5 ?= 53
45 + 8 ?= 53
53 == 53 (( YES ))
Since 53 is indeed equal to 53, then 22.5 is a solution for x.
Cheers.
Answer:
$12100
Step-by-step explanation:
Step one:
Given data
The given profits are
First week= $15,000
Second week= $9300
Third week = $12,000
Required
The average profit
Step two:
The number of weeks is 3
hence the average is
= 15000+9300+12000/3
=36300/3
=$12100
Answer:
Step-by-step explanation: 3. 12240 watts
4. 101.82 pounds of insecticide.
Answer:
0.246¯¯¯¯ written as a fraction in simplest form?
the answer is 1000÷246