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3 years ago

Complete the identity. =( sin (alpha +beta))/ (cos alpha cos beta)=?

1 answer:

4 0

Hi, We know:

Sin(a + b) = 2.Sin(a).Sin(b)

Then,

= 2Sin(a).Cos(b)/Cos(a).Cos(b)

Canceling Cos(b)

= 2Sin(a)/Cos(a)

As Tan(a) = Sin(a)/Cos(a)

Then we will stay:

= 2Tan(a)

Or

= Tan(a) + Tan(a)

There is anything wrong on the alternatives

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A ladder is leaning against a building.The distance from the bottom of the ladder to the building is 6ft shorter than the length

Akimi4 [234]

Answer:

15 ft

Step-by-step explanation:

Hi, the illustration for the problem is a right triangle with:

hypotenuse (C)= the length of the ladder = L

horizontal side(A) = distance from bottom of the ladder to the building = L - 6

vertical side(B) = distance from the top of the ladder to the bottom of the building = L - 3

So, we can use Pythagoras formula:

A2 +B2= C2

(L – 6 )² + (L-3)² = L²

L²-12L+36+L²-6L+9 =L²

L2 -18L+45 =0

APPLYING QUADRATIC FORMULA WE OBTAIN:

L =15 OR L=3

If L=3

Vertical side = L-3 = 0 (Length can´t be 0)

So L=15

6 0

3 years ago

A bank offers a loan for $8,000 which earns 4.25% interest compounded annually. What is the correct formula to determine how muc

Kisachek [45]

Answer:

C, A = 8,000(0.0425)5

7 0

3 years ago

The ages of three friends are represented by three consecutive odd numbers. The sum of their ages is 63. If the youngest is repr

son4ous [18]

Answer:

x+(x+2)+(x+4)=63

Step-by-step explanation:

3 0

2 years ago

Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble, records the result, and returns the marb

dexar [7]

Answer:

The probability that next selection is yellow marble = 63% .

Step-by-step explanation:

Given the selection of yellow marbles = 41 times.

The selection of white marble = 24 times.

Total number of selections made = 65

Now calculate the probability that the next selection will be the yellow marble. Therefore, the probability of getting yellow marble can be determined by dividing the yellow selection by total number of selections.

$\text{P(yellow)} = \frac{ \text{The selection of yellow marbles} }{ \text{ Total number of slections }} \\\text{P(yellow)} = \frac{41}{65} = 0.63 \ or \ 63 \ percent$

7 0

3 years ago

What is the perimeter of a square with s = 8 centimeters?

andrew11 [14]

Answer:

32centimeters

Step-by-step explanation:

4 sides are in a sqaure and all of them are equal so

8 times 4 is 32

3 0

3 years ago