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faust18 [17]
2 years ago
11

Find the Perimeter and Area

Mathematics
1 answer:
igor_vitrenko [27]2 years ago
3 0

Answer:

Area = 20.28 cm^2

Perimeter = 16.28 cm

Step-by-step explanation:

The figure is composed of a half circle and a rectangle,

The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.

Therefore the area is :

Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2

The perimeter is :

Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm

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The functions and g are defined as follows.
elena-s [515]

Answer:

- 27 and 7

Step-by-step explanation:

To obtain f(- 6) substitute x = - 6 into f(x), that is

f(- 6) = 4(- 6) - 3 = - 24 - 3 = - 27

To obtain g(- 3) substitute x = - 3 into g(x), that is

g(- 3) = - 3(- 3) - 2 = 9 - 2 = 7

6 0
3 years ago
Which are the solutions of x^2 = –11x + 4?
strojnjashka [21]

This is a quadratic equation, i.e. an equation involving a polynomial of degree 2. To solve them, you must rearrange them first, so that all terms are on the same side, so we get

x^2 + 11x - 4 = 0

i.e. now we're looking for the roots of the polynomial. To find them, we can use the following formula:

x_{1,2} = \frac{-b\pm\sqrt{b^2-4ac}}{2}

where x_{1,2} is a compact way to indicate both solutions x_1 and x_2, while a,b,c are the coefficients of the quadratic equation, i.e. we consider the polynomial ax^2+bx+c.

So, in your case, we have a=1,\ \ b=11,\ \ c=-4

Plug those values into the formula to get

x_{1,2} = \frac{-11\pm\sqrt{121+16}}{2} = \frac{-11\pm\sqrt{137}}{2}

So, the two solutions are

x_1 = \frac{-11+\sqrt{137}}{2}

x_2 = \frac{-11-\sqrt{137}}{2}

3 0
3 years ago
What is the largest prime number?​
Lady bird [3.3K]

Answer:

28258933-1

Step-by-step explanation:

hope it helps you

6 0
3 years ago
There are 21 students in an Math 111 class at Schoolcraft. Suppose you wanted to determine how many ways there are to select 5 s
Nady [450]

Answer:

<h2> Combination</h2>

Step-by-step explanation:

In this case the order of selection does not matter since we are concerned in the number of ways possible a set of students (5) can be grouped for a project, we are going to be using combination technique

In permutation the order of selection matters hence will not give the desired result

5 0
3 years ago
Which statement is true?
erica [24]
The answer to your question is C
4 0
3 years ago
Read 2 more answers
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