Answer:
the total area is 15.6 square units
Step-by-step explanation:
hello,
you can find the total area dividing the shape into two known shapes
total area= area of the trapezoid +area of the semicircle
then
step one
find the area of the isosceles trapezoid using
![A=\frac{a+b}{2}*h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Ba%2Bb%7D%7B2%7D%2Ah)
where
a is the smaller base
b is the bigger base
h is theheight
A is the area
let
a=2
b=5
h=4
put the values into the equation
![A=\frac{a+b}{2}*h\\A=\frac{5+2}{2}*4\\A=3.5*4\\A=14](https://tex.z-dn.net/?f=A%3D%5Cfrac%7Ba%2Bb%7D%7B2%7D%2Ah%5C%5CA%3D%5Cfrac%7B5%2B2%7D%7B2%7D%2A4%5C%5CA%3D3.5%2A4%5C%5CA%3D14)
Step two
find the area of the semicircle
the area of a circle is given by
![A_{c}=\pi \frac{d^{2}}{4}\\](https://tex.z-dn.net/?f=A_%7Bc%7D%3D%5Cpi%20%20%5Cfrac%7Bd%5E%7B2%7D%7D%7B4%7D%5C%5C)
but, we need the area of half circle, we need divide this by 2
![A_{semic}=\frac{ \pi \frac{d^{2}}{4}}{2}\\A_{semic}= \pi \frac{d^{2}}{8}](https://tex.z-dn.net/?f=A_%7Bsemic%7D%3D%5Cfrac%7B%20%5Cpi%20%5Cfrac%7Bd%5E%7B2%7D%7D%7B4%7D%7D%7B2%7D%5C%5CA_%7Bsemic%7D%3D%20%5Cpi%20%5Cfrac%7Bd%5E%7B2%7D%7D%7B8%7D)
now the diameter of the semicircle is 2, put this value into the equation
![A_{semic}= \pi \frac{2^{2}}{8}\\\\A_{semic}= \pi \frac{1}{2}\\ A_{semic}=\frac{\pi }{2}\\](https://tex.z-dn.net/?f=A_%7Bsemic%7D%3D%20%5Cpi%20%5Cfrac%7B2%5E%7B2%7D%7D%7B8%7D%5C%5C%5C%5CA_%7Bsemic%7D%3D%20%5Cpi%20%5Cfrac%7B1%7D%7B2%7D%5C%5C%20A_%7Bsemic%7D%3D%5Cfrac%7B%5Cpi%20%7D%7B2%7D%5C%5C)
find the total area
total area= area of the trapezoid +area of the semicircle
![total\ area= 14+\frac{\pi }{2} \\total\ area=15.6](https://tex.z-dn.net/?f=total%5C%20area%3D%2014%2B%5Cfrac%7B%5Cpi%20%7D%7B2%7D%20%5C%5Ctotal%5C%20area%3D15.6)
so, the total area is 15.6 square units
Have a good day.
Answer:
He Had It Bronzed
Step-by-step explanation:
Hope this help pls mark as brainlest!!
The number of natural numbers less than n is n-1.
Natural numbers are whole and positive numbers that are not 0.
If n is 2, there is one natural number less than n... and that is 1.
If n is 5, there are four natural numbers less than n... which are 1, 2, 3, and 4.
Answer:
x = 30m
Step-by-step explanation:
<u>GIVEN :-</u>
There are 2 right-angled triangles.
In the triangle on the right side ,
- Hypotenuse = 26m
- Base = 10m
In the triangle on the left side ,
<u>TO FIND :-</u>
- Length of the common perpendicular to both triangles.
- Length of the hypotenuse of the triangle on the left side.
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
.![Perpendicular = \sqrt{Hypotenuse^2 - Base^2}](https://tex.z-dn.net/?f=Perpendicular%20%3D%20%5Csqrt%7BHypotenuse%5E2%20-%20Base%5E2%7D)
<u>SOLUTION :-</u>
In the triangle on the right side ,
![Perpendicular = \sqrt{26^2 - 10^2} = \sqrt{676 - 100} = \sqrt{576} = 24m](https://tex.z-dn.net/?f=Perpendicular%20%3D%20%5Csqrt%7B26%5E2%20-%2010%5E2%7D%20%3D%20%5Csqrt%7B676%20-%20100%7D%20%3D%20%5Csqrt%7B576%7D%20%3D%2024m)
⇒ Perpendicular of the triangle on right side = Perpendicular of the triangle on left side.
In the triangle on the left side ,
![Hypotenuse = \sqrt{24^2 + 18^2} = \sqrt{576 + 324} = \sqrt{900} = 30m](https://tex.z-dn.net/?f=Hypotenuse%20%3D%20%5Csqrt%7B24%5E2%20%2B%2018%5E2%7D%20%3D%20%5Csqrt%7B576%20%2B%20324%7D%20%3D%20%5Csqrt%7B900%7D%20%3D%2030m)
∴ x = 30m
Step-by-step explanation:
Bus A leave depot at = 3pm
Bus B leave depot at = 3 pm
both leave depot at 3 pm so
Bus A complete its route in25 mins
Bus A reach at his point at 3:25 pm
Bus B complete its route in 30 mins
Bus B reach at his point at 3:30 pm
So
If the buses go back to depot it will take 25 mins so Bus A reach back at depot at 3:50 pm
Bus B at 4:00 pm