Answer:
1080cm²
Step-by-step explanation:
surface area=sum of the area of all the shapes
area of triangle=1/2*base*height
1/2*24*10=120*2(because there are two triangles)=240cm²
10*14=140cm²
24*14=336cm²
Area of slanting figure=26*14=364cm²
add all the results
240+140+336+364=1080cm²
Answer:
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:
Simplify:
So, our exponential function is now:
Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:
Solve for <em>b</em>. Divide both sides by 20:
Therefore:
![b=\sqrt[6]{64}=2](https://tex.z-dn.net/?f=b%3D%5Csqrt%5B6%5D%7B64%7D%3D2)
Hence, our function is:
4 (e)
sin^8 x - cos^8 x
= (sin^4 x + cos^4 x)(sin^4 x - cos^4 x)
= (sin^4 x + cos^4 x)(sin^2 x - cos^2x)(sin^2 x +cos^2 x)
= (sin^4x + cos^4 x)( sin^2 x- cos^2 x)
Sorry I cant do 4 (d).
(40 min)/(5 mi) = (time)/(7 mi) . . . . . the rates are the same
(7/5)*(40 min) = time = 56 min
At the same rate, it would take Petra 56 minutes to jog 7 miles.
In 1 hour, Antoine travels 1.75 mi by dividing 5.25 by 3. So, after lunch, he hiked 4 hours. 1.75 times 2 is 3.5 mi every hour after lunch. So, 3.5 times 4 is 14 mi. + 5.25 is 19.25 mi., or 19 1/4 miles.
