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Sergeeva-Olga [200]

3 years ago

9

A right angled triangle has a second angle equal 24 degrees. The side adjacent to this angle is 3,7 metres long. How long are th

e hypotenuse and opposite sides? (3)

1 answer:

Vaselesa [24]3 years ago

4 0

Hypotenuse will be 4.05
Opposite will be 1.65

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Please hlp<br> due soon<br> pls help

Mnenie [13.5K]

Answer:

732π cm^3

Step-by-step explanation:

Volume of the biggest cone

(15^2 * π *20)/3 = 1500π cm^3

Volume of the smallest cone

20^3 : 16^3= 1500π : x

x = (1500π * 4096)/8000= 768π cm^3

Volume of the frustum = 1500π - 768π = 732π cm^3

3 0

3 years ago

SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).

Ann [662]

Answer:

Required series is:

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

Step-by-step explanation:

Given that

$f'(x) = -\frac{1}{1 + x^{2}}$ ---(1)

We know that:

$\frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}}$ ---(2)

Comparing (1) and (2)

$f'(x)=-(tan^{-1}x)$ ---- (3)

Using power series expansion for $tan^{-1}x$

$f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx$

$= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]$

$=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}$

$=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

as

$tan^{-1}(0)=0 \implies C=0$

Hence,

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

7 0

4 years ago

Can someone help me with this and show the work :) i’ll mark first person brainlyest

weqwewe [10]

Answer:

its probably is B. I am not sure. I wouldnt trust me though but you can if you want. ._.

5 0

3 years ago

This is a proportion. What is the value of X?

Verizon [17]

Answer:

x = 15 or x = - $\frac{2}{5}$

Step-by-step explanation:

Cross- multiplying gives

(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )

238x² + 172x + 30 = 243x² + 99x

rearrange into standard form : ax² + bx + c = 0

5x² - 73x - 30 = 0 ← in standard form

consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )

the factors are - 75 and + 2

Use these factors to split the middle term

5x² - 75x + 2x - 30 = 0 ( factor by grouping )

5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)

(x - 15)(5x + 2) = 0

equate each factor to zero and solve for x

x - 15 = 0 ⇒ x = 15

5x + 2 = 0 ⇒ x = - $\frac{2}{5}$

7 0

3 years ago

Say that you are about to make a major purchase and would like to save money on sales tax. Which of these is a viable way to red

mafiozo [28]

Answer: c.) Sales tax varies by state, so you can travel to a state with a lower tax rate and make your purchase there.

Step-by-step explanation:

Sales tax rates vary significantly from state to state, so you can save money if you know what state has a lower sales tax rate, so you can travel to that state and make your purchase there.

There is a list of states with lower sales tax rates:

1. Alaska 1.43% Sales tax rates

2. Hawaii 4.41% Sales tax rates

3. Wyoming 5.36% Sales tax rates

4. Wisconsin 5.44% Sales tax rates

5. Maine 5.50% Sales tax rates

6. Virginia 5.65% Sales tax rates

<h2><em>Spymore</em></h2>

5 0

3 years ago