All categories

3 years ago

What is the 5th term of an arithmetic sequence of 20 terms with first and last terms of 2 and 59, respectively

Mathematics

1 answer:

Verizon [17]3 years ago

8 0

Answer:

Step-by-step explanation:

aₙ = a₁ + (n-1)*d

59 = 2 + (20-1) * d

59 = 2 + 19d

19d = 59-2 = 57

d = 3

5th term: a₅ = 2 + 4 * 3 = 14

You might be interested in

The question say how many subsets are within the Rational Number set?

Umnica [9.8K]

Answer:

there are 32 subsets

Step-by-step explanation:

4 0

3 years ago

the diameter of a cylinder is 14cm.the height of the cylinder is 9cm. calculate the Volume and curved surface area

kicyunya [14]

Answer:

The volume is 1386 cm³ and curved surface area is 396 cm².

Step-by-step explanation:

Given that,

The diameter of a cylinder is 14 cm

Height of the cylinder is 9 cm

We need to find the volume and curved surface area .

If r is the radius, r = 14/2 = 7 cm

Volume of a cylinder is given by :

$V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (7)^2 \times 9\\\\V=1386\ \text{cm}^3$

The curved surface area of the cylinder is given by :

$A=2\pi r h\\\\A=2\times \dfrac{22}{7}\times 7\times 9\\\\A=396\ \text{cm}^2$

So, the volume is 1386 cm³ and curved surface area is 396 cm².

3 0

3 years ago

This is the answer right?

dalvyx [7]

No, the question is stating the product of a number (the variable n represents the number) and 10 is 142. In other words, 10 times another number is 142. Hence, the answer would be A.

5 0

4 years ago

Find the circumferences of the two circles circle a has a radius of 21 meters and circle b has a radius of 28 meters Is the rela

Feliz [49]

Answer:

The circumference for circle a is $\\ C = 131.9430$ m.

The circumference for circle b is $\\ C = 175.9240$ m.

The relationship between the radius of a circle and the circumference (the distance around the circle) is constant and is the same for all circles and can be written as $\\ \frac{C}{r} = 2\pi$ or, in a less familiar form, $\\ \frac{r}{C} = \frac{1}{2\pi}$ . The number $\\ \pi$ is constant for all circles and has infinite digits, $\\ \pi = 3.14159265358979....$ .

Step-by-step explanation:

The circumference of a circle is given by:

$\\ C = 2*\pi*r$ [1]

Where

$\\ C$ is the circle's circumference.

$\\ r$ is the radius of the circle.

And

$\\ \pi = 3.141592....$ is a constant value (explained below)

We can say that the distance around the circle is the circle's circumference.

The circumferences of the two circles given are:

Circle a, with radius equals to 21 meters ( $\\ r = 21m$ ).

Using [1], using four decimals for $\\ \pi$ , we have:

$\\ C = 2*\pi*r$

$\\ C = 2*3.1415*21$ m

$\\ C = 131.9430$ m

Then, the circumference for circle a is $\\ C = 131.9430$ m.

Circle b, with radius equals to 28 meters ( $\\ r = 28m$ ).

$\\ C = 2*3.1415*28$ m

$\\ C = 175.9240$ m

And, the circumference for circle b is $\\ C = 175.9240$ m.

We know that

$\\ 2r = D$

That is, the diameter of the circle is twice its radius.

Then, if we take the distance around the circle and we divided it by $\\ 2r$

$\\ \frac{C}{2r} = \frac{C}{D} = \pi$

This ratio, that is, the relationship between the distance around the circle (circumference) and the diameter of a circle is $\\ \pi$ and is constant for all circles. This result is called the $\\ \pi$ number, which is, approximately, $\\ \pi = 3.141592653589793238....$ (it has infinite number of digits).