Answer:
75
Step-by-step explanation:
angle 2 and angle 6 are corresponding angles, because the lines are parallel and cut by a transversal, corresponding angles are congruent, thus if angle 2 is 75 degrees then angle 6 is 75 degrees
Step-by-step explanation:
3cos2x +sinx=1
3(1-2sin²x)+sinx=1
3-6sin²x+sinx=1
sinx(-6sinx+1)=1
either
sinx=1
sinx=sin(90)
:.x=90
or
-6sinx+1=1
-6sinx=1-1
sinx=0/-6
sinx=sin0,sin180
:.x=0,180and90
Answer:
<h2>X greater-than 0</h2>
Step-by-step explanation:
The given function is
Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negatice, because the logarithm of a negative number is undefined, the same happens for x=0.
Therefore, the domain of this function is all real numbers more than zero.
The image attached shows the graph of this function, there you can notice its domain restriction.
So, the right answer is the first choice: x greater than 0.
Answer:
h = -t+20
After 8 hours the candle will be 12 inches
Step-by-step explanation:
We have 2 points (time, inches)
(3,17) and (5,15)
We can find the slope
m = (y2-y1)/(x2-x1)
= (15-17)/(5-3)
= -2/2
= -1
We can use point slope form
y-y1 = m(x-x1)
Replace y with h and x with t
h-17 = -1 (t-3)
Distribute
h-17 = -t+3
Add 17 to each side
h-17+17 = -t+3+17
h = -t+20
After 8 hours
h = -t+20
h = -8+20
h= 12
For example a × b × c = c × a × b
Answer:
Therefore the Commutative Expression is,
11 × w × 3 = 11 × 3 × w
Step-by-step explanation:
Commutative property:
The Commutative property states that order does not matter.
This property allows Two or more factors to be multiplied in any order without Changing the product.
Multiplication and addition are commutative.
For example a × b = b × a
1. 2 × 5 = 5 × 2
Therefore the Commutative Expression is,
11 × w × 3 = 11 × 3 × w
