By definition, the slope is the inclination of a line in relation to the horizontal. It can be expressed in degrees, ratios and even in percent. Therefore, you can calculate it by applying the following formula:
P%=(H/L)x100
P% is the slope expressed in percent.
H is the height (H=1.2 meters).
L is the length (L=4 meters).
When you substitute these values into the formula P%=(H/L)x100, you obtain the slope of the skateboard ramp:
P%=(H/L)x100
P%=(1.2 meter/4 meters)x100
P%=0.30x100
P%=30%
Answer:
2a+3b
Step-by-step explanation:
There wouldn't be a simplfied answer or solution if you don't have a solution for either a or b or both. And they are not like terms, so you can't add them together.
So the answer is 2a + 3b.
I hope this helps!
Have a great day!
Answer:
- 891 = 3^4 · 11
- 23 = 23
- 504 = 2^3 · 3^2 · 7
- 230 = 2 · 5 · 23
Step-by-step explanation:
23 is a prime number. That fact informs the factorization of 23 and 230.
The sums of digits of the other two numbers are multiples of 9, so each is divisible by 9 = 3^2. Dividing 9 from each number puts the result in the range where your familiarity with multiplication tables comes into play.
891 = 9 · 99 = 9 · 9 · 11 = 3^4 · 11
___
504 = 9 · 56 = 9 · 8 · 7 = 2^3 · 3^2 · 7
___
230 = 10 · 23 = 2 · 5 · 23
_____
<em>Comment on divisibility rules</em>
Perhaps the easiest divisibility rule to remember is that a number is divisible by 9 if the sum of its digits is divisible by 9. That is also true for 3: if the sum of digits is divisible by 3, the number is divisible by 3. Another divisibility rule fall out from these: if an even number is divisible by 3, it is also divisible by 6. Of course any number ending in 0 or 5 is divisible by 5, and any number ending in 0 is divisible by 10.
Since 2, 3, and 5 are the first three primes, these rules can go a ways toward prime factorization if any of these primes are factors. That is, it can be helpful to remember these divisibility rules.
Answer:
b
Step by Step Explanation:
