Answer:
x = 5
Step-by-step explanation:
NOTE: THE 2 SIDES ARE THE SAME LENGTH
THEY HAVE TO BE SMALLER THEN 10
So 10/2 = 5
x = 5
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The formula for the sum of the a finite geometric series is this:
Sn = a((1-r^n) / (1-r))
The given values are:
n = 30
a = 0.5 mi
r = 1.10 (10% more each day)
S30 = 0.5 ((1-1.10^30) / (1-1.10))
S30 = 82.25 mi
After 30 days, he will have traveled 82.25 miles.
Answer:
45
Step-by-step explanation:
by the definition of an isocoles triangle, defined by having two congruent sides, (p-s, r-s), angles SPR and SRP are congruent. by the triangle sum theorem, (internal angles + to 180˚) 90˚ + 2a = 180˚. 2a =90, a = 45
Answer:
Dependant variables- how much fertiliser depends on the size of the lawn
Independent variables- Gardeners will always buy fertiliser.
Step-by-step explanation:
1st you have to know that in mathematiques the signs preceding any number are of paramount importance:
1) addition of 2 digits with different signs:
a) 8 - 3 = 5
b)-8 + 3 = -5 (if the negative sign is associated with largest digit, then the subtraction will be negative and vice versa
c) addition of 2 digits with both negative sign
- 5 - 8 = -13 .You jus add up both by keeping the negative sign
2) Multiplication: 2 digits with different signs:
a) (8) x (-3) = -24
b) (-8) x (3) = -24 so (-) x (+) or (+) x (-) is ALWAYS negative
3) Multiplication: 2 digits with SAME signs;
a) +8 x +3 = 24
b) (-8) x (-33) =24 so (-) x (-) or (+) x (+) is ALWAYS POSITIVE
4) what applies on multiplication applies also on division (same principle)
5) Now we come to parenthesis: When you have parenthesis, the sign preceding the parenthesis is also of paramount importance:
a) a positive sign preceding a parenthesis doesn't affect the consents if you remove these parenthesis: +(5 + 3y) = 5+3y or 2(5+3y) = 10+6y
b) a NEGATIVE sign preceding a parenthesis DOES affect the consents if you remove these parenthesis:
-2(4x -2y -3) ==> If you remove the parenthesis by multiplying by (-2), all signs inside will change: the (+) become ( -) and vice versa,. However mind you, if you have a negative
Now let's take your equation: -15 - ( - 8 ) = -15 +8, remember a negative sign preceding any parenthesis will change all signs inside if you REMOVE the parenthesis: some examples:
a) -15 + 10 -(4-32x -4y)
1st (-15 + 10) = -5 since the largest number is preceded by a NEGATIVE sign
so : -5 - (4-32x -4y) remove the parenthesis -5 -4 + 32x +4y
b) -(-5-8) -(+5+8) ==> -5-8 -5-8 = -10 - 16 => - 26
.