$\bf A(n)=-3\cdot 2^{n-1}\\\\
-------------------------------\\\\
\textit{first one}\qquad A(1)=-3\cdot 2^{1-1}
\\\\\\
\textit{fourth one}\qquad A(4)=-3\cdot 2^{4-1}
\\\\\\
\textit{eighth one}\qquad A(8)=-3\cdot 2^{8-1}$

8 0

2 years ago

An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa

Yuri [45]

Answer:

407.22 foot is the boat from the base of the lighthouse

Step-by-step explanation:

Given the statement: An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression.

Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = $7^{\circ}$

$\angle CAB = \angle DCA = 7^{\circ}$ [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

$\tan (\theta) = \frac{Opposite side}{Adjacent Base}$

$\tan (\angle CAB) = \frac{BC}{AB}$

Here, BC = 50 foot and $\angle CAB =7^{\circ}$

then;

$\tan (7^{\circ}) = \frac{50}{x}$

$x = \frac{50}{\tan 7^{\circ}}$

$x = \frac{50}{0.1227845609}$

Simplify:

AB = x = 407.217321 foot

Therefore, the boat from the base of the light house is, 407.22'

5 0

2 years ago

How many different triangles can be made with the angles 45 degree, 45 degree, 90degree ?

pychu [463]

Answer:

C: one triangle

Step-by-step explanation:

well a triangle = 180°

45+45=90

90+90=180

7 0

2 years ago

Read 2 more answers

Help please I need help :/

TEA [102]

Answer:

Step-by-step explanation:

You cant find the square root of ten. It is a decimal that keeps on repeating. Therefore, it is irrational.

5 0

2 years ago

Read 2 more answers

Thomas has 21 singles, 30 triples, and 13 homeruns. What is his SLG so far if he has 198 at bats?​

Thomas has 21 singles, 30 triples, and 13 homeruns. What is his SLG so far if he has 198 at bats?