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2 years ago

What is the 21st term of the sequence with a1 = -7 and d = 3?

Mathematics

1 answer:

STatiana [176]2 years ago

3 0

Answer:

Step-by-step explanation:

$a + (n - 1)d \\ = - 7 + (21 - 1)3 \\ = 53$

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What is the area of this shape?

stepan [7]

Answer:

10 I think

Step-by-step explanation:

well we add it all together 2+1+3+4

7 0

2 years ago

Read 2 more answers

The diameter of a circular tablecloth is 72 inches. Find the area and circumference. Use 3.14 as an approximation for pi.

nalin [4]

Answer:

Part 1) The area is $A=4,069.44\ in^{2}$

Part 2) The circumference is $C=226.08\ in$

Step-by-step explanation:

step 1

Find the area

we know that

The area of a circle (circular tablecloth) is equal to

$A=\pi r^{2}$

we have

$r=72/2=36\ in$ ------> the radius is half the diameter

$\pi =3.14$

substitute

$A=(3.14)(36)^{2}$

$A=4,069.44\ in^{2}$

step 2

Find the circumference

we know that

The circumference of a circle (circular tablecloth) is equal to

$C=\pi D$

we have

$D=72\ in$

$\pi =3.14$

substitute

$C=(3.14)(72)$

$C=226.08\ in$

5 0

3 years ago

What is the quotient (x^3-3x^2+3x-2) divided by (x^2-x+1)

Zielflug [23.3K]

If you do the long division you'll see that it is x - 2.

4 0

3 years ago

7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent

Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

First term, a = 220
Sum of terms, Sn = 10920
Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

$S_n = \frac{n}{2}(2a + (n -1) * d)$

So,we have:

$10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)$

Evaluate the terms and factors

$21840 = n(440 + 16n -16)$

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

4 0

2 years ago

A rectangular gasoline tank can hold 45.0 kg of gasoline when full. what is the depth of the tank if it is 0.450 m wide by 0.900

garri49 [273]

The answer is 0.154 m

Step 1. Calculate the volume of gasoline tank (V) using the known mass (m) and density of gasoline (D).
D = m/V
⇒ V = m/D
D = 719.7 kg/m³
m = 45.0 kg
V = 45.0 kg/719.7 kg/m³ = 0.0625 m³

Step 2. Calculate the depth of the tank (d) using the known volume (V) of gasoline and width (w) and length (l) of the tank:
V = d * w * l
0.0625 = d * 0.900 * 0.450
0.0625 = d * 0.405
d = 0.0625 / 0.405
d = 0.154 m

7 0

3 years ago