Area of Triangle:
A = 1/2 bh = 1/2 (5)(12) = 30 m^2

Area of semicircle:
A = 1/2 π r^2 = 1/2 π 6^2 = 18π m^2

Area of figure = Area of semicircle + Area of Triangle
Area of figure = 18π + 30 m^2

Answer is C.
18π + 30 m^2

5 0

3 years ago

Read 2 more answers

What is the value of 6 364 484 1.365 1.456

vlabodo [156]

Answer:

I think it is C

Step-by-step explanation:

If I'm wrong try B

4 0

2 years ago

The 100th term in 8, 13, 18,23, 28,...

Lunna [17]

Answer:

The 100th term of the sequence is 503.

Step-by-step explanation:

Given : Sequence 8, 13, 18,23, 28,...

To find : The 100th term in the sequence ?

Solution :

Sequence 8, 13, 18,23, 28,... is the arithmetic sequence

Where, First term is a=8

The common difference is d=13-8=5

The nth term of the sequence is given by $a_n=a+(n-1)d$

The 100th term is given by,

$a_{100}=8+(100-1)5$

$a_{100}=8+(99)5$

$a_{100}=8+495$

$a_{100}=503$

The 100th term of the sequence is 503.

3 0

2 years ago

What’s the vertex form of F(x)=x^2+2x-3

kupik [55]

Answer:

$\large\boxed{f(x)=(x+1)^2-4}$

Step-by-step explanation:

$\text{The vertex form of a quadratic equation}\ f(x)=ax^2+bx+c:\\\\f(x)=a(x-h)^2+k\\\\(h,\ k)-\text{vertex}\\=====================================$

$\bold{METHOD\ 1:}\\\\\text{convert to the perfect square}\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\f(x)=x^2+2x-3=\underbrace{x^2+2(x)(1)+1^2}_{(*)}-1^2-3\\\\f(x)=(x+1)^2-4\\==============================$

$\bold{METHOD\ 2:}\\\\\text{Use the formulas:}\ h=\dfrac{-b}{2a},\ k=f(k)\\\\f(x)=x^2+2x-3\to a=1,\ b=2,\ c=-3\\\\h=\dfrac{-2}{2(1)}=\dfrac{-2}{2}=-1\\\\k=f(-1)=(-1)^2+2(-1)-3=1-2-3=-4\\\\f(x)=(x-(-1))^2-4=(x+1)^2-4$

4 0

3 years ago