Answer:
Let's call the total cost C.
Let's call the cost for the discount card d
and let's call the number of daily bus passes to be n
then C = d + 1.50n
Step-by-step explanation:
hmu if you need anything els
Standard form : Ax + By = C
slope intercept form : y = mx + b
example :
2x + 3y = 10....we want the 3y term by itself...so subtract 2x from both sides
3y = -2x + 10 .....now we have to divide both sides by 3 to get y alone
y = (-2/3)x + 10/3 <== slope intercept form...u dont need the parenthesis in there, I was just showing u that I divided by 3
another one..
-4x + 5y = 9.....got to get 5y by itself....this time we add 4x
5y = 4x + 9...now divide both sides by 5 to get y alone
y = 4/5x + 9/5
Answer:
The height of the smokestack is 132.7 feet
Step-by-step explanation:
Given as :
The distance of point to the base of building = d = 100 feet
The angle of elevation to bottom of smokestack = 35°
The angle of elevation to top of smokestack = 53°
Let The height of the building = h feet
Let The height of smokestack = H feet
<u>Now, According to question</u>
From figure
<u>In Δ AOB</u>
Tan angle = ![\dfrac{\textrm perpendicular}{\textrm base}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20perpendicular%7D%7B%5Ctextrm%20base%7D)
Or, Tan 35° = ![\dfrac{\textrm AB}{\textrm OA}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20AB%7D%7B%5Ctextrm%20OA%7D)
Or, Tan 35° = ![\dfrac{\textrm h}{\textrm 100 feet}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20h%7D%7B%5Ctextrm%20100%20feet%7D)
Or, 0.7002 = ![\dfrac{\textrm h}{\textrm 100 feet}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20h%7D%7B%5Ctextrm%20100%20feet%7D)
∴ h = 0.7002 × 100
I.e h = 70.02 feet
So, The height of the building = h = 70.02 feet
Again
<u>In Δ AOC</u>
Tan angle = ![\dfrac{\textrm perpendicular}{\textrm base}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20perpendicular%7D%7B%5Ctextrm%20base%7D)
Or, Tan 53° = ![\dfrac{\textrm AC}{\textrm OA}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20AC%7D%7B%5Ctextrm%20OA%7D)
Or, Tan 53° = ![\dfrac{\textrm H}{\textrm 100 feet}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20H%7D%7B%5Ctextrm%20100%20feet%7D)
Or, 1.3270 = ![\dfrac{\textrm H}{\textrm 100 feet}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20H%7D%7B%5Ctextrm%20100%20feet%7D)
∴ H = 1.3270 × 100
I.e H = 132.7 feet
So, The height of the smokestack = H = 132.7 feet
Hence, The height of the smokestack is 132.7 feet . Answer
1/4 + 3/8
Rewrite with the LCD (lowest common denominator)
Remember : the denominator is just the bottom number on a fraction.
Let's look at both of our given fractions denominator's.
4 & 8 → What do both of these numbers have in common? They both go into 8!
How many times does 4 go into 8? → Twice
How many times does 8 go into 8? → Once
So, because of that, we must multiply the top number (numerator) of each fraction with either one, or two.
First fraction : 1/4 × 2/2 =2/8 → So, our first fraction changes.
Second fraction : 3/8 × 1/1 = 3/8 → However, our second fraction changes.
So, our new question looks like this : 2/8 + 3/8
If you wanted us to answer this question, we simply need to add the top numbers (numerators) with one another because both fractions have the same bottom numbers (denominators).
2 + 3 = 5
So, our answer is 5/8 and our question rewritten with the LCD is : 2/8 + 3/8
~Hope I helped!~
Answer:
since the number of degrees in a straight line is 180, we will subtract 140 from that to get 40 degrees for angle AOB. O being the midpoint of the circle. 40/360=1/9. So the length of AB would be 1/9 of the circumfrence of the whole circle. Circumfrence=13^2pi= about 530.9. 1/9 of this is 58.9 ,