All categories

3 years ago

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4. A. 216 B. 18 C. 32 D. 54

Mathematics

1 answer:

larisa [96]3 years ago

6 0

<h2>Option D</h2>

<h3> $a1(r) {}^{n - 1}$ </h3><h3>Putting values:</h3>

<h3> $2(3) {}^{4 - 1}$ </h3><h3> $2(3) {}^{3}$ </h3><h3> $2 \times 27$ </h3><h3> $= 54$ </h3><h3>Hence, Proved.</h3>

You might be interested in

Problem We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation E=\dfrac{17}{2

Tanzania [10]

Complete Question

We can calculate EEE, the amount of euros that has the same value as DDD U.S. Dollars, using the equation

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

Answer:

a) 0.85 euros

b) 1.18 dollars

Step-by-step explanation:

The equation is given as:

E= 17/20 D

a) How many euros have the same value as 1 U.S. Dollar? euros

E = 17/20D

D = 1 dollar

Hence:

E = 17/20 × 1

E = 0.85 euros

b) How many U.S. Dollars have the same value as 1 euro? dollars

E = 17/20D

E = 1 euro

1 = 17/20D

D = 1 ÷ 17/20

D = 1 × 20/17

D = 1.1764705882 dollars

D = 1.18 dollars

3 0

3 years ago

Can I name my Angle VTS as STV? And use it interchangeably in proving?

swat32

Answer:

both angles are the same, so you can use it interchangeably in proving.

But i suggest you to mantain only one, because it's easier to understand and it looks better.

5 0

3 years ago

Verify that (cos²a) (2 + tan² a) = 2 - sin² a....<br>

Sveta_85 [38]

Trigonometric Formula's:

$\boxed{\sf \ \sf \sin^2 \theta + \cos^2 \theta = 1}$

$\boxed{ \sf tan\theta = \frac{sin\theta}{cos\theta} }$

Given to verify the following:

$\bf (cos^2a) (2 + tan^2 a) = 2 - sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf (cos^2a) (2 + \dfrac{sin^2 a}{cos^2 a} )$

$\texttt{\underline{apply distributive method}:}$

$\rightarrow \sf 2 (cos^2a) + (\dfrac{sin^2 a}{cos^2 a} ) (cos^2a)$

$\texttt{\underline{simplify the following}:}$

$\rightarrow \sf 2cos^2 a + sin^2 a$

$\texttt{\underline{rewrite the equation}:}$

$\rightarrow \sf 2(1 - sin^2a ) + sin^2 a$

$\texttt{\underline{distribute inside the parenthesis}:}$

$\rightarrow \sf 2 - 2sin^2a + sin^2 a$

$\texttt{\underline{simplify the following}} :$

$\rightarrow \sf 2 - sin^2a$

Hence, verified the trigonometric identity.

7 0

2 years ago

Read 2 more answers

F r e e points if you can answers these questions. Get 4 or the most question correct and ill mark brainliest.

gladu [14]

Answer: 11.Because she could of landed on someting

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

A rectangular garden has side lengths of 12 feet and (x+10) feet. The garden has an area of 480 square feet. Write an equation a

Eddi Din [679]

Answer:

Step-by-step explanation:

12+x+10=480

22+x=480

x=458

2(12)+2(x+10)=480

24+2x+20=480

44+2x=480

2x=436

x=218

7 0

2 years ago