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KonstantinChe [14]
3 years ago
5

Please show step by step

Mathematics
1 answer:
spayn [35]3 years ago
3 0

Answer:

15th term of the sequence is 36

Step-by-step explanation:

Given in the question,

a₁ = First term = -20

d = common difference = 4

Expression for the nth term of an arithmetic sequence is,

T_n=a_1+(n-1)d

Here, n = number or term

We have to calculate 15th term of the sequence,

T_{15}=-20+(15-1)(4)

     = -20 + 56

     = 36

Therefore, 15th term of the sequence is 36.

You might be interested in
What is 0.04 km, 420 cm, 4,600 mm, and 4.3 meters in order from least to greatest
Paul [167]

Answer:

420 cm, 4.3 meters, 4600 mm, 0.04 km

Step-by-step explanation:

We can solve this by converting each to the same unit. I will be using meters.

0.04 km

1 km = 1000 meters

1000 meters / 1 km = 1

multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out

0.04 km * 1000 meters / 1 km = 40 meters

420 cm

100 cm = 1 meter

1 meter / 100 cm = 1

multiply 420 cm by this, keeping cm at the bottom so it crosses out

420 cm * 1 meter / 100 cm = 4.2 meters

4600 mm

1000 mm = 1 meter

1 meter / 1000 mm = 1

4600 mm * 1 meter / 1000 mm = 4.6 meters

Therefore, our order is

420 cm, 4.3 meters, 4600 mm, 0.04 km

6 0
2 years ago
A rectangular garden has length and width as given by the expressions below.
Tom [10]

Answer:

P = -12xy - 56y - 42x + 8

Step-by-step explanation:

                                    P = 2L + 2W

P = 2(4 - 7(3x + 4y)) + 2(3x(-2y))

P = 8 - 14(3x + 4y) + 6x(-2y)

P = 8 - 42x - 56y - 12xy

                              P = -12xy - 56y - 42x + 8

3 0
3 years ago
Read 2 more answers
In triangle abc angle a +angle b =90 then sin a =
Ivan

Answer:

sin(a)=cos(b)

Step-by-step explanation:

we know that

In the triangle abc

if m\angle a+m\angle b=90^o

then

m\angle c=90^o

Because, the sum of the interior angles in a triangle must be equal to 180 degrees

therefore

Triangle abc is a right triangle

see the attached figure to better understand the problem

The sine of angle a is equal to divide the opposite side to angle a by the hypotenuse

so

sin(a)=\frac{x}{z}

The cosine of angle b is equal to divide the adjacent side to angle b by the hypotenuse

so

cos(b)=\frac{x}{z}

therefore

sin(a)=cos(b)

When two angles are complementary, the sine of one angle is equal to the cosine of the other angle and the cosine of one angle is equal to the sine of the other angle

so

sin(a)=cos(b)

cos(a)=sin(b)

8 0
3 years ago
Find the volume of a cube with edges measuring 9ce
IceJOKER [234]

Answer:

<h2>V = 729</h2>

Step-by-step explanation:

The formula of a volume of a cube with an edge <em>a</em>

<h3>V = a³</h3>

We have <em>a </em>=<em> </em>9 . Substitute:

<h3>V = 9³ = 9 · 9 · 9 = 729</h3>
6 0
3 years ago
The diagram shows a prism work out the volume???
julia-pushkina [17]

Answer:

Volume is equal to

L×W×H

=(10×9×7)cm

=90×7

=630

8 0
3 years ago
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