3 years ago

\cos (x-10\deg )=(\sqrt(3))/(2)

Mathematics

1 answer:

Charra [1.4K]3 years ago

4 0

Answer:

40°

Step-by-step explanation:

$\cos (x-10\degree )= \frac{ \sqrt{3} }{2} \\ \\ \cos (x-10\degree )=\cos 30\degree \\ \\ x-10\degree = 30\degree \\ \\ x = 30\degree + 10\degree \\ \\ x = 40\degree$

You might be interested in

Find A to the nearest degree if cos A = 0.7660

STALIN [3.7K]

Answer:

$A = 40^\circ$

Step-by-step explanation:

Use the inverse cosine function.

$\cos A = 0.7660$

$A = \cos^{-1} 0.7660$

$A = 40^\circ$

5 0

4 years ago

Determine the measure of the missing angles. Show your work! Be ready to discuss your answer.

soldier1979 [14.2K]

For a.

Since there are already two angles given for the triangle, we can measure the last angle using this formula:

90 + 55 + a = 180

Now solve for "a".

90 + 55 + a = 180

145 + a = 180

a = 180 - 145

a = 35°

For b.

From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.

Now that we have two angles in the second triangle(35 and 120), we can use the same formula:

35 + 120 + b = 180

Now solve for "b":

35 + 120 + b = 180

155 + b = 180

b = 180 - 155

b = 25°

3 0

3 years ago

Read 2 more answers

What is -3m-8v-4m+5v

vladimir1956 [14]