In the question <span>The _____ appears in the equation of a line as the coefficient of the variable x. it is.(slope)</span>
He makes $12 an hour because 6x12= 72 plus his 12 dollar tip makes 84
Answer:
After 4 hours, two candles be at the same height.
Step-by-step explanation:
Let us assume after burning for m hours, both candles are same height.
Length of candle A = 12 inch
Burning rate = 0. 5 inches per hour
So, the candle burned in m hours = m x (0.5) = 0.5 m inches
The height of candle left after m hours = 12 - 0.5 m
Length of candle B = 18 inch
Burning rate = 2 inches per hour
So, the candle burned in m hours = m x (2) = 2m inches
The height of candle left after m hours = 18 - 2 m
According to question:
After m hours: Height of candle A = Height of candle B
or, 12 - 0.5 m = 18 - 2 m
⇒ 12 - 18 = -2m + 0.5 m
or. - 6 = -1.5 m
or, m = 6 / 1.5 = 4
or, m = 4
Hence, after 4 hours, two candles be at the same height.
Answer:
4.5341 < 6.9 < 6.906 < 6.96
Step-by-step explanation:
4.5341 is closer to 0 than 6.96 is.
Answer:
Option B
The measure of angle b is 75°
Step-by-step explanation:
Method 1
we know that
In a inscribed quadrilateral, the opposite angles are supplementary
so
∠a+60°=180° ------> equation A
∠b+105°=180° -----> equation B
To find the measure of angle b solve the equation B
∠b+105°=180°
Subtract 105° both sides
∠b+105°-105°=180°-105°
∠b=75°
Method 2
see the attached figure with letters to better understand the problem
we know that
The inscribed angle measures half that of the arc comprising
so
∠105°=(1/2)[arc ADC]
arc ADC=2*105°=210°
<em><u>Find the measure of arc ABC</u></em>
we know that
arc ABC+arc ADC=360° -----> by complete circle
arc ABC=360°-210°=150°
<u><em>Find the measure of inscribed angle b</em></u>
∠b=(1/2)[arc ABC]
substitute
∠b=(1/2)[arc 150°]=75°
