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3 years ago

How to find the area

Mathematics

2 answers:

Virty [35]3 years ago

7 0

Just like you drew those dotted lines. You know how to find the areas of rectangles which is A=length x width

The answer would be 20cm^2+6cm^2+18cm^2=44 cm^2

strojnjashka [21]3 years ago

5 0

You would divide it into smaller shapes and then find the area then add them all up.

4*5=20

3*2=6

3*6=18

20+6+18=34cm^2

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What is the nth term?

kumpel [21]

Let $a_k$ denote the kth term of the sequence. Then

$a_k=a_1+d(k-1)$

where d is the common difference between consecutive terms in the sequence and a₁ is the first term.

The sum of the first n terms is

$S_n=\displaystyle\sum_{k=1}^na_k=a_1+a_2+\cdots+a_{n-1}+a_n$

From the formula for $a_k$ , we get

$S_n=\displaystyle\sum_{k=1}^n(a_1+d(k-1))=a_1\sum_{k=1}^n1+d\sum_{k=1}^n(k-1)$

$S_n=\displaystyle na_1+d\sum_{k=0}^{n-1}k$

$S_n=na_1+\dfrac{d(n-1)n}2$

$S_n=\dfrac n2(2a_1-d+dn)$

So we have $d=-5$ , and $2a_1-d=16$ so that $a_1=\frac{11}2$ .

Then the nth term in the sequence is

$a_n=\dfrac{11}2-5(n-1)=\boxed{\dfrac{21-10n}2}$

7 0

3 years ago

In two or more complete sentences, explain how to use ordered pairs of points in x) = 2x + 5 and g(x)=

Naddika [18.5K]

Answer:

see the explanation

Step-by-step explanation:

we have

$A(x)=2x+5$

Find the inverse of A(x)

Let

y=A(x)

$y=2x+5$

Exchange the variables x for y and y for x

$x=2y+5$

Isolate the variable y

$2y=x-5$

$y=\frac{x-5}{2}$

Let

$g(x)=y$

$g(x)=\frac{x-5}{2}$ ------> function inverse of A(x)

Explanation

For x=1

Find the value of A(x)

$A(1)=2(1)+5=7$

The point (1,7) is a solution for A(x)

That means-----> The point (7,1) is a solution for the function inverse g(x)

Verify

For x=7

$g(7)=\frac{7-5}{2}=1$

The point (7,1) is a solution for g(x)

therefore

A(x) and g(x) are inverses of each other if the point (x,y) is a solution of A(x) and the point (y,x) is a solution of g(x)

8 0

3 years ago

Ninth grade math help me PLEASEEEE PLEASE

dusya [7]

Answer:

I believe the answer is D.

Step-by-step explanation:

3 0

3 years ago

QF Q6.) Find the following function for c.

hammer [34]

(f∘g)(x) = f(g(x))
(f∘g)(2) = f(g(2)) = f(5·2² -3) = f(17) = 2·17 -2 = 32

(f∘g)(2) = 32

7 0

3 years ago

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A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder? A) 54 ft2 B) 169.8 ft3 C) 254.3 ft3 D

Margarita [4]

In order to find the volume of a cylinder, we must find the area of its circular face and multiply that value by its height. The area of a circle is (pi)*r^2. The diameter is twice the radius, so the cylinder has a radius of 6/2, or 3 ft. The area of the circular face of the cylinder is therefore 9(pi) or approximately 28.27 sq. ft. Multiplying that area by the height of 9 ft. results in a volume of approximately 254.3 cubic ft., which is answer C.

7 0

3 years ago

Read 2 more answers