Ask question

Ask question

All categories

Sergeeva-Olga [200]

3 years ago

10

Solve for x: tan(2x - 65)° = cot(3x + 15)

1 answer:

love history [14]3 years ago

3 0

Answer:

x = 28

Step-by-step explanation:

$\tan(2x - 65) \degree = \cot(3x + 15) \degree \\ \\ \tan(2x - 65)\degree = \tan \{90 \degree - (3x + 15)\degree \} \\ \\ (2x - 65)\degree = \{90 \degree - (3x + 15)\degree \} \\ \\ (2x - 65)\degree + (3x + 15)\degree = 90 \degree \\ \\ (2x - 65 + 3x + 15)\degree = 90 \degree \\ \\ 5x - 50 = 90 \\ \\ 5x = 90 + 50 \\ \\ 5x = 140 \\ \\ x = \frac{140}{5} \\ \\ x = 28$

You might be interested in

What is the volume of the right rectangular prism, in cubic centimeters?

True [87]

Answer:

108 units

Step-by-step explanation:

Volume = length × width × height

V = 4 × 3 × 9

V = 108 units

3 0

3 years ago

There is a line whose y intercept is 9 and whose slope is 1/2 whats the equation in slope intercept form

Vlad [161]

Answer:

y = $\frac{1}{2}$ x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = $\frac{1}{2}$ and c = 9, thus

y = $\frac{1}{2}$ x + 9 ← equation of line

3 0

3 years ago

Fill in the y values of the t–table for the function y = RootIndex 3 StartRoot x EndRoot

bulgar [2K]

Answer:

x y

-8 -2

-1 -1

0 0

1 1

8 2

Step-by-step explanation:

The given function is

$y=\sqrt[3]{x}$

We need to find the y-values for the given t-table.

In the given table the x-values are -8, -1, 0, 1, 8.

At x=-8,

$y=\sqrt[3]{-8}=-\sqrt[3]{2^3}=-2$

At x=-1,

$y=\sqrt[3]{-1}=-\sqrt[3]{1^3}=-1$

At x=0,

$y=\sqrt[3]{0}=0$

At x=1,

$y=\sqrt[3]{1}=\sqrt[3]{1^3}=1$

At x=-8,

$y=\sqrt[3]{8}=\sqrt[3]{2^3}=2$

Therefore, the required table is:

x y

-8 -2

-1 -1

0 0

1 1

8 2

8 0

4 years ago

Read 2 more answers

Pls answer quick 45 points :))

Igoryamba

Answer:

5

Step-by-step explanation:

7 0

3 years ago

A triangle has a 90° angle, and the other two interior angles are congruent. Explain how to find the measure of one of the two c

alexandr1967 [171]

Answer:

45º

Step-by-step explanation:

If the two interior angles are congruent they are the same. All angles add up to 180º, so 180-90=90. 90/2=45, ergo the answer is 45º.

6 0

3 years ago

Read 2 more answers