Answer:
The answer is "340 units²"
Step-by-step explanation:
In the given question, an attachment file is missing, which can be defined as follows:
![\therefore \tan \theta= \frac{height}{base}\\\\\to \tan 60^{\circ}=\frac{h}{3}\\\\\to \sqrt{3}=\frac{h}{3}\\\\\to 3\sqrt{3}=h\\\\\to h = 3\sqrt{3} units\\\\](https://tex.z-dn.net/?f=%5Ctherefore%20%5Ctan%20%5Ctheta%3D%20%5Cfrac%7Bheight%7D%7Bbase%7D%5C%5C%5C%5C%5Cto%20%5Ctan%2060%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bh%7D%7B3%7D%5C%5C%5C%5C%5Cto%20%5Csqrt%7B3%7D%3D%5Cfrac%7Bh%7D%7B3%7D%5C%5C%5C%5C%5Cto%203%5Csqrt%7B3%7D%3Dh%5C%5C%5C%5C%5Cto%20h%20%3D%203%5Csqrt%7B3%7D%20units%5C%5C%5C%5C)
The area of trapezoid prism:
![(a)= (b_1+b_2)h+ph](https://tex.z-dn.net/?f=%28a%29%3D%20%28b_1%2Bb_2%29h%2Bph)
value:
![b_1=6 \ units\\b_2=9 \units\\h=10 \ units\\\\\to P=6+9+3\sqrt{3}+\sqrt{3^2+(3\sqrt{3})^2}\\\\\to P=15+3\sqrt{3}+\sqrt{9+27}\\\\\to P=15+3\sqrt{3}+\sqrt{36}\\\\\to P=21+3\sqrt{3} \ unit\\\\\bold{ Area= (6+9) \times 3\sqrt{3}+(21+3\sqrt{3})\times 10}\\\\\to Area= (15) \times 3\sqrt{3}+(21+3\sqrt{3})\times 10\\\\\to Area= 45\sqrt{3}+210+30\sqrt{3}\\\\\to Area=339.9038\\\\\to Area=340 \ units^2](https://tex.z-dn.net/?f=b_1%3D6%20%5C%20units%5C%5Cb_2%3D9%20%5Cunits%5C%5Ch%3D10%20%5C%20units%5C%5C%5C%5C%5Cto%20P%3D6%2B9%2B3%5Csqrt%7B3%7D%2B%5Csqrt%7B3%5E2%2B%283%5Csqrt%7B3%7D%29%5E2%7D%5C%5C%5C%5C%5Cto%20P%3D15%2B3%5Csqrt%7B3%7D%2B%5Csqrt%7B9%2B27%7D%5C%5C%5C%5C%5Cto%20P%3D15%2B3%5Csqrt%7B3%7D%2B%5Csqrt%7B36%7D%5C%5C%5C%5C%5Cto%20P%3D21%2B3%5Csqrt%7B3%7D%20%5C%20unit%5C%5C%5C%5C%5Cbold%7B%20Area%3D%20%286%2B9%29%20%5Ctimes%203%5Csqrt%7B3%7D%2B%2821%2B3%5Csqrt%7B3%7D%29%5Ctimes%2010%7D%5C%5C%5C%5C%5Cto%20Area%3D%20%2815%29%20%5Ctimes%203%5Csqrt%7B3%7D%2B%2821%2B3%5Csqrt%7B3%7D%29%5Ctimes%2010%5C%5C%5C%5C%5Cto%20Area%3D%2045%5Csqrt%7B3%7D%2B210%2B30%5Csqrt%7B3%7D%5C%5C%5C%5C%5Cto%20Area%3D339.9038%5C%5C%5C%5C%5Cto%20Area%3D340%20%5C%20units%5E2)
A) The wall = 32ft * 16ft = 512 square feet.
If one liter of paint covers 100 square feet then you're going to need 6 liter of paint because 5 liters could only cover 500 square feet so it wouldn't be enough. So you get the formula Liter * 0.26417 = gallons and plug in the 6 liter to get <span>1.58502 gallons
B) From the answer above you can estimate that you would need 2 gallons
C) Remember that you had 6 liters of paint which = 600 square ft. So you have 600 square ft of paint - 512 square ft wall = 88 square ft unused paint. And if one liter = 100 square ft, x liters = 88 square ft. So to get the liter you get the equation 100x=88 --> x=88/100
So the ANSWER is .88 liters of paint will be left remaining in the container.</span>
Answer:
The two equations are not equivalent and no property is used.
Step-by-step explanation:
54 - (30 - 8) ... (i)
(54 - 30) - 8 ... (ii)
Solving (i) and applying PEMDAS:
We open the brackets first;
54 - 30 + 8 = 54 + 8 - 30 = 32
Solving (ii) and applying PEMDAS:
We open the brackets first;
54 - 30 = 24
24 - 8 = 16
Answer:
this year is 2021
Step-by-step explanation: