Answer:
solution given:
For triangle
side1=9ft
side2=10ft
base[b]=11ft
height[h]=7.7ft
and for rectangle
length [l]=3ft
wide [w]=9ft
Now
total surface area=lateral surface area +2curved surface area
=perimeter of triangle×length +2area of triangle
=(9+10+11)×3+2×1/2×2(½×b*h)
=90+11×7.7
=174.7
=175ft²is a required answer.
Formula for compound interest is
Interest = Amount - Principal
Interest =
- P
Where r = rate in percent
t = time in years
For Jaina,
P = $300
r= 7%
t = 3 yrs
So, Interest =
- 300
For Tomas
P = $400
r= 4%
t = 3 yrs
So, Interest =
- 400
So pair of equations for Jaina and Tomas are
Interest =
- 300
Interest =
- 400
Answer:
32.66 units
Step-by-step explanation:
We are given that

Point A=(-2,-4) and point B=(1,20)
Differentiate w.r. t x

We know that length of curve

We have a=-2 and b=1
Using the formula
Length of curve=
Using substitution method
Substitute t=12x+14
Differentiate w.r t. x


Length of curve=
We know that

By using the formula
Length of curve=![s=\frac{1}{12}[\frac{t}{2}\sqrt{1+t^2}+\frac{1}{2}ln(t+\sqrt{1+t^2})]^{1}_{-2}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B12%7D%5B%5Cfrac%7Bt%7D%7B2%7D%5Csqrt%7B1%2Bt%5E2%7D%2B%5Cfrac%7B1%7D%7B2%7Dln%28t%2B%5Csqrt%7B1%2Bt%5E2%7D%29%5D%5E%7B1%7D_%7B-2%7D)
Length of curve=![s=\frac{1}{12}[\frac{12x+14}{2}\sqrt{1+(12x+14)^2}+\frac{1}{2}ln(12x+14+\sqrt{1+(12x+14)^2})]^{1}_{-2}](https://tex.z-dn.net/?f=s%3D%5Cfrac%7B1%7D%7B12%7D%5B%5Cfrac%7B12x%2B14%7D%7B2%7D%5Csqrt%7B1%2B%2812x%2B14%29%5E2%7D%2B%5Cfrac%7B1%7D%7B2%7Dln%2812x%2B14%2B%5Csqrt%7B1%2B%2812x%2B14%29%5E2%7D%29%5D%5E%7B1%7D_%7B-2%7D)
Length of curve=
Length of curve=
Length of curve=
Answer: Dividing the number by 1000
When you move the decimal, add a 0.
The decimal is moved 3 times, there are 3 zeros. When you move left, the number is getting smaller so it is division.
Hope this helps ʕ•ᴥ•ʔ
Answer:
<u>100 m</u>
Step-by-step explanation:
<u>Given</u> :
<u>#1) Finding the side length</u>
- Area = (side length)²
- ⇒ side length = √Area
- ⇒ side length = √625
- ⇒ side length = 25 m
<u>#2) Calculating perimeter</u>
- Perimeter = Total length of the sides of the shape
- Perimeter = 4 x side length [a square has 4 equal sides]
- ⇒ Perimeter = 4 x 25
- ⇒ Perimeter = <u>100 m</u>