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2 years ago

Find the sum of the first 41 terms of the following series, to the nearest integer.

Mathematics

1 answer:

mamaluj [8]2 years ago

8 0

Answer:

7011

Step-by-step explanation:

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Using only whole numbers Nikki wrote as many multiplication equations as she could with 12 as the product what where her equatio

erastovalidia [21]

1 times 12,2 times 6,and 3times 4

4 0

2 years ago

. Evaluate tan(α + β) = sin(????+????) / cos(????+????) to show tan(???? + ????) = tan(????)+tan(????????) / 1−tan(????) tan(???

grandymaker [24]

Answer with Step-by-step explanation:

We are given that

$tan(\alpha+\beta)$

$\frac{sin(\alpha+\beta}{cos(\alpha+\beta)}$

By using formula $tan x=\frac{sin x}{cos x}$

$\frac{sin\alpha cos\beta+sin\beta cos\alpha}{cos\alpha cos\beta-sin\alpha sin\beta}$

By using property: $sin(x+y)=sin x cosy+cos x sin y$

$cos(x+y)=cos x cosy-sin x siny$

Divide numerator and denominator by $cos\alpha cos\beta$

Then, we get

$\frac{\frac{sin\alpha}{cos\alpha}+\frac{sin\beta}{cos\beta}}{1-\frac{sin\alpha sin\beta}{cos\alpha cos\beta}}$

$tan(\alpha+\beta)=\frac{tan\alpha+tan\beta}{1-tan\alpha tan\beta}$

Hence, proved

Substitute $\alpha=\beta$

Then we get

$tan 2\alpha=\frac{tan\alpha+tan\alpha}{1-tan^2\alpha}$

$tan(2\alpha)=\frac{2tan\alpha}{1-tan^2\alpha}$

Hence, proved.

3 0

3 years ago

Which of the fallowing is a mononial

kirill115 [55]

Answer:

A monomial is a polynomial, which has only one term. A monomial is an algebraic expression with a single term but can have multiple variables and a higher degree too. For example, 9x3yz is a single term, where 9 is the coefficient, x, y, z are the variables and 3 is the degree of monomial.

8 0

2 years ago

A factory needs to produce 1800 jars of peanut butter on a certain day they start producing at 8:30 but 10:30 AM they have produ

Zielflug [23.3K]

Answer:

2:30

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Four friends are standing in line to buy tickets. Carlos is not first in line. Paige is ahead of Kate. Lisa is last in line.

DiKsa [7]

Well Carlos obviously isn't first, and the question states that Lisa is last.
And Paige is in front of Kate, so the line would go:

Paige
Kate
Carlos
Lise

4 0

3 years ago