Answer:
p = -160
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
p/5 = -32
<u>Step 2: Solve for </u><em><u>p</u></em>
- Multiply 5 on both sides: p = -160
Answer:a) a=22, b=11
b) m=7
, n= 
Step-by-step explanation:
You should use trigonometry ratios as required and then you should use pythagoras theorem
In a) cosine(30°)= base/hypotenuse,
where 11√3 is the base
"a" is hypotenuse and
"b" is perpendicular
from this you can find the value of perpendicular then you should use pythagoras theorem to find the value of hypotenuse
pythagoras theorem is
base²+perpendicular²= hypotenuse²
Same is applied on (b) right triangle as, sine(45°)=perpendicular/hypotenuse
12 hours because if it’s one over 12 you need 12 hours to make the whole lawn
Let
and
be the number of elves and reindeers, respectively.
We know that:
(so far 14 of them have arrived)
(each reindeer has 4 legs and each elf has two)
If we multiply the first equation by 2 we have
, and if we subtract this equation from the second we have
which implies
.
So, there are 5 reindeers and 9 elves (remember that they have to sum up to 14).
The problem says that 10x^2 = 80x. Since x is guaranteed not to equal zero, divide both sides by x; 10x=80. Divide both sides by 10 and x=8