Cosine 45° = √2/2 (Square root of 2 over 2)
Answer:
Option D is correct
Step-by-step explanation:
Using the given diagram, we want to know the equation that is true
Option A is wrong as both are on a straight line and in fact should add up to equal 180 and not be equal to each other
Option B is not correct as both are supplementary and does not equal each other
Option C is not correct, both are corresponding to each other and should not add up to 90
Option D is correct
Both angles are supplementary as they are exterior angles that add up to 180
<span>Simply multiply the number of balls that can fit in a single container by the total number of containers available. In our case, 55 (balls per container) * 9 (total number of containers) = 495. So the answer is B.</span>
Answer:
x = 11
Step-by-step explanation:
2x + 34 = 56
2x = 56 - 34
2x = 22
x = 22/2
x = 11
Answer:
Step-by-step explanation:
The initial height of a Japanese maple sapling is 14 inches.
The tree is expected to grow 2.5 inches each month. This increase in height is linear, thus it is in arithmetic progression.
The expression for arithmetic progression is
Tn = a + (n-1)d
Where a = the first term of the series
d = common difference
Tn is the nth term of the series
n = the number of terms.
From the information given
a = 14 inches because it is the initial height of the tree
d = 2.5 because it is the difference in height between 2 consecutive months
n = m( number of months)
Tn = f(m)
function models the relationship between the height of the tree f(m) and the number of m months of growth will be
f(m) = 14 + 2.5(m-1)