Answer:
Decreases
Step-by-step explanation:
As 'n' increases the value of the (1/4) will decrease.
Say, n=1 ; 1/4
n=2 ; 1/4 * 1/4 = 1/16(because n=2, there are two 1/4s)
n= and so on
Answer:
19b-4
Step-by-step explanation:
7b+3(4b-2)+6÷3
Bracket comes first so we distribute 3 over the terms in the bracket
= 7b + 12b -6 +6 ÷ 3
First we solve division
= 7b + 12b -6 +6 ÷ 3
= 7b + 12b -6 +2
= (7b+12b)+(-6+2)
= 19b -4
This can't be simplified further as it can't be solved anymore
Answer:
90
Step-by-step explanation:
an obtuse angle is an angle from 90 - 180 degrees, so it would greater than 90 degrees
Answer:
a = 
b = 12
c = 
Step-by-step explanation:
Since the triangles are right triangles with 60 and 45 degree angles, their side lengths follow special triangles.
A 45-45-90 right triangle has side lengths
.
A 30-60-90 right triangle has side lengths
.
Starting with the top triangle which has a 60 degree angle, its side length 6 corresponds to a side length of 1 in the special triangle. It is 6 times bigger so its remaining sides will be 6 times bigger too.
Side a corresponds to side length
. Therefore,
.
Side b corresponds to side length 2, b = 2*6 = 12.
The bottom triangle has a 45 degree angle, its side length b= 12 corresponds to
. This means
was multiplied by
. This means that side c is
.
Answer:
-5
Step-by-step explanation:
Remember the slope intercept form:
y = mx + b
m = Slope value
b = y-intercept
So in this case,
y = (-5)x + b
m = -5
b = 1
Thus the answer is -5