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2 years ago

Write the first 4 terms of the arithmetic sequence With first term 37 and common difference 9

Mathematics

2 answers:

alexandr402 [8]2 years ago

4 0

Answers:

first term = 37

second term = 46

third term = 55

fourth term = 64

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Explanation:

Start at 37. Add 9 to this term to get the second term. Add 9 to that result to get the next term, and so on.

first term = 37

second term = 37+9 = 46

third term = 46+9 = 55

fourth term = 55+9 = 64

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The nth term formula is

a(n) = 9n+28

It can be found by plugging a = 37 and d = 9 into the general form

a(n) = a + d*(n-1)

weeeeeb [17]2 years ago

4 0

Answer:

First term: 37

2nd term: 46

3rd term: 55

4th term: 64

Step-by-step explanation:

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Find two consecutive integers such that one fifth of the first less one-ninth of the second is 3. Pls answer.

mart [117]

Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

We are dealing with consecutive integers; these are integers with a difference of 1 between them.

let the first number = x

second number = x + 1

one - fifth of first;

$\frac{1}{5}$ x

one - ninth of the second;

$\frac{1}{9}$ (x + 1)

for the "less" ;

$\frac{1}{5}$ x - $\frac{1}{9}$ (x + 1) = 3

Multiply through by 45

45( $\frac{1}{5}$ x) - (45) $\frac{1}{9}$ (x + 1) = 3 x 45

9x - 5(x + 1) = 135

9x - 5x -5 = 135

4x = 135 + 5

4x = 140

x = 35

Now, x+1 = 35 + 1 = 36

The consecutive integers are 35 and 36

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3 years ago

a cube with side lengths s has a volume of 64 cubic units. what is the length of the side of the cube?

Mademuasel [1]

Answer:

4 units

Step-by-step explanation:

volume of cube = 64 cubic units

$\therefore \: {s}^{3} = 64 \\ \\ \therefore \: {s}^{3} = {4}^{3} \\ \\ \therefore \: {s}= {4} \: units$

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3 years ago

21 points!!

exis [7]

Answer:

Simple multiplication gets you 124

Step-by-step explanation:

9x13=117

117+7=124

Maya now has 124 cookies

9 reps bags, 13 reps cookies, 7 reps cookies already had.

3 0

2 years ago

Read 2 more answers

bonufazy [111]

If similarity ratio means the ratio between the lengths of the cubes:

$\frac{ L_1^{3} }{ L_2^{3} } = \frac{V_1}{V_2} \\ \\ ratio = \frac{L_1}{L_2} = \frac{\sqrt[3]{V_1} }{\sqrt[3]{V_2} }$

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2 years ago

an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached.

nalin [4]

The total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

height, h = apothem of the hexagon = 2 cm and
base, b = length of shorter base of trapezoid.

<h3>Area of the triangle</h3>

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

<h3>Area of the hexagon</h3>

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Learn more about area of a hexagon here:

brainly.com/question/369332

5 0

2 years ago