The number is = 6
……………………………….
Answer:
The ladder is 4.86 foot from the base of the wall .
Step-by-step explanation:
Given as :
The length of the ladder = 28 ft
The ladder makes angle of 80° with the ground
Let The distance of the ladder from the foot of the wall = x ft
Now, From Triangle BAC
Cos angle = ![\dfrac{\textrm Base}{\textrm Hypotenuse}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20Base%7D%7B%5Ctextrm%20Hypotenuse%7D)
I.e Cos 80° = ![\dfrac{\textrm BA}{\textrm AC}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20BA%7D%7B%5Ctextrm%20AC%7D)
Or, 0.1736 = ![\dfrac{\textrm x}{\textrm 28}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20x%7D%7B%5Ctextrm%2028%7D)
Or, x = 0.1736 × 28
∴ x = 4.86 foot
So, The distance of ladder from wall base = x = 4.86 foot
Hence The ladder is 4.86 foot from the base of the wall . Answer
Answer: When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
Step-by-step explanation:
Hope this helps have a lovely day :)
Answer:
<em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>
Step-by-step explanation:
1. Let us first find the volume of the gas the tank, by the general multiplication of Base * height ⇒ 11 inches * 1.25 feet * 1.75 feet. For the simplicity, we should convert feet ⇒ inches, as such: 1.25 feet = 1.25 * 12 inches = 15 inches, 1.75 feet = 1.75 * 12 inches = 21 inches. Now we have a common unit, let us find the volume ⇒ 11 in. * 15 in. * 21 in. = 3465 inches^3.
2. Let us say that the the average price of gas in my community is $2.8 per gallon. We would first have to convert inches ⇒ gallons provided 1 gallon = 231 inches: 3465/231 = 15 gallons.
4. Now simply multiply this price of 2.8 dollars per gallon by the number of gallons to receive the cost if the tank was full: 2.8 * 15 = <em>$ 42 if this tank was full provided a community cost of $ 2.8 per gallon</em>
5. Now this tank is 20% full, so we must calculate the cost to fill the other 80% up. That would be 80/100 * 42 = 4/5 * 42 = 168/5 = <em>$ 33.6 to fill this tank, provided a community cost of $2.8 per gallon</em>