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3 years ago

Select the correct answer.

Mathematics

1 answer:

Hoochie [10]3 years ago

4 0

Answer:

1 750 g

Step-by-step explanation:

hhhahahahahahahaha

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Square root 15*3sqyare root 81y

Deffense [45]

<span>No simplification exists, Root remains :
</span>sqrt(15y)

7 0

3 years ago

Simplify the expression using trigonometric identities: sec (–θ) – cos θ.

ololo11 [35]

Answer:

sin θ . tan θ

Step-by-step explanation:

Note : -

sec ( - θ ) = sec θ

Formula / Identity : -

sec θ = 1 / cos θ

sec ( - θ ) - cos θ

= [ 1 / cos θ ] - cos θ

{ LCM = cos θ }

= [ 1 / cos θ ] - [ cos²θ / cos θ ]

= [ 1 - cos²θ ] / cos θ

{ 1 - cos²θ = sin²θ }

= sin²θ / cos θ

{ sin²θ = sin θ . sin θ }

= sin θ . sin θ / cos θ

{ sin θ / cos θ = tan θ }

= sin θ . tan θ

Hence, simplified.

4 0

2 years ago

Find the twenty-fifth term of an arithmetic sequence if the first term is-1 and the common difference is 5. Write the first thre

denis-greek [22]

Answer:

1). $T_{25}=119$

2). $T_{1}=-23$

$T_{2}=-23+2=-21$

$T_{3}=-23+4=-19$

Step-by-step explanation:

First term of an arithmetic sequence is (-1) and common difference is 5.

Then we have to find twenty fifth term of this arithmetic sequence.

Since explicit formula of an arithmetic sequence is represented by

$T_{n}=a+(n-1)d$

Where $T_{n}$ represents nth term of the sequence.

a = first term

n = number of term

and d = common difference

Now we will find 25th term of this sequence.

$T_{25}=(-1)+(25-1)5$

= (-1) + 120

= 119

Similarly in second part of this question we have to find first three terms of an arithmetic sequence in which

$T_{21}=17$ and

$T_{50}=75$

Now from the explicit formula

17 = a + (21 - 1)d

17 = a + 20d --------(1)

75 = a + (50 - 1)d

75 = a + 49d --------(2)

Now we subtract equation 1 from 2

75 - 17 = 49d - 20d

29d = 58

d = $\frac{58}{29}=2$

By putting d = 2 in equation 1

17 = a + 20×2

17 = a + 40

a = 17 - 40

a = -23

Therefore, first three terms of this sequence will be

$T_{1}=-23$

$T_{2}=-23+2=-21$

$T_{3}=-23+4=-19$

8 0

4 years ago

Martin has some dollar notes. 20% of the notes are si

hjlf

Answer:

easy

Step-by-step explanation:

6 0

4 years ago

An umbrella is made by stitching 10 triangular pieces of cloth of two different colours where each pieces measuring 48cm,48cm,an

miskamm [114]

Given:

An umbrella is made by stitching 10 triangular pieces of cloth.

Each pieces measuring 48cm,48cm, and 30cm.

To find:

The cost of required to make umbrella at rate of 5 paisa per square cm.

Solution:

Area of a triangle is:

$A=\sqrt{s(s-a)(s-b)(s-c)}$

Where,

$s=\dfrac{a+b+c}{2}$

Each pieces measuring 48cm,48cm, and 30cm. So,

$s=\dfrac{48+48+30}{2}$

$s=\dfrac{126}{2}$

$s=63$

Area of one triangular piece is:

$A=\sqrt{63(63-48)(63-48)(63-30)}$

$A=\sqrt{63(15)(15)(33)}$

$A=\sqrt{467775}\text{ cm}^2$

$A\approx 683.9408\text{ cm}^2$

Area of 10 triangular pieces is:

$10\times 683.9408=6839.408\text{ cm}^2$

The rate is 5 paisa per square cm. So, the total cost is:

$6839.408\times 5=34197.04$

Therefore, the total cost is 34197.04 paisa.

4 0

3 years ago