What’s the equation Value of x Angle measures

Simplify the expression by using a double-angle formula or a half-angle formula. (a) 2 tan(5°) 1 − tan2(5°)

antoniya [11.8K]

The question is related to trigonometry and we have to use the formula of double angle .

Here we use double angle formula of tangent function which is

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

Given expression is

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)}$

Comparing it with double angle formula, we will get x = 5

SO the required expression is equal to

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(2*5 )$

$\frac{2tan (5 \degree)}{1-tan^2(5 \degree)} =tan(10 )$

So the answer is tan(10) .

6 0

3 years ago

2c+17.6 =6 SOLVE --------------- 4 give your answer as a decimal get brainly

scZoUnD [109]

Answer:

$\huge\boxed{x = -5.8}$

Step-by-step explanation:

2x + 17.6 = 6

Subtracting both sides by 17.6

2x = 6 - 17.6

2x = -11.6

Dividing both sides by 2

x = -11.6 / 2

x = -5.8

8 0

3 years ago

50 POINTSS!!!!- The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement o

olga_2 [115]

Answer:

the first option

Step-by-step explanation:

solution:

distance: d=1/4 lc (because is a quarter of a circle)

length of the circumference: lc=2 pi r

pi: constant=3.14

radius of the circle: r=80 feet

replacing pi and r in the formula of lc:

lc=2 pi r

lc=2 (3.14) (80 feet)

lc=502.4 feet

replacing lc in the formula of d:

d=1/4 lc

d=1/4 (502.4 feet)

d=502.4/4 feet

d=125.6 feet

5 0

3 years ago

Read 2 more answers

For which values of X and Y is line P parallel to line Q

zubka84 [21]

Answer:

3rd option x=3, y=5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

At a ski resort, 1/4 of the 300 skiers are beginners, and 1/4 of the 260 snowboarders are beginners. The resort staff used the d

Evgen [1.6K]

$\frac{1}{4}(300 + 260) = \frac{1}{4} \times 300 + \frac{1}{4} \times 260$ is the expression that demonstrates the distributive property

Solution:

Given that,

At a ski resort, $\frac{1}{4}$ of the 300 skiers are beginners

$\frac{1}{4}$ of the 260 snowboarders are beginners

The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes

Beginners in skiers = $\frac{1}{4}$ of the 300

Beginners in snowboarders = $\frac{1}{4}$ of the 260

Total number of beginners = Beginners in skiers + Beginners in snowboarders

$\text{ Total number of beginners } = \frac{1}{4}(300) + \frac{1}{4}(260)$

We have to use distributive property

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

Therefore, our expression is:

$\frac{1}{4}(300) + \frac{1}{4}(260)$

We have to take $\frac{1}{4}$ as common term to get distributive property

$\frac{1}{4}(300) + \frac{1}{4}(260) = \frac{1}{4}(300 + 260)\\\\\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)$

Thus distributive property is applied

8 0

3 years ago