Can someone help with this question? thanks

Which expression best represents all solutions of x for the equation cot x = –1.25, where k is any integer?

Alika [10]

Answer:

The answer is " $-0.675+ k \ \pi$ "

Step-by-step explanation:

Given:

$\to \cot \ x = - 1.25\\\\\to \cot \ x = \cot (-0.675)\\\\\to x= k \pi + (-0.675)\\\\\boxed{\boxed{\boxed{x= -0.675 + k \pi}}}$

5 0

3 years ago

if you divide a positive number by 12, the answer would be less than the original number? always, sometimes, or never

elena55 [62]

Answer:

Always

Step-by-step explanation:

The rules for positive numbers is that addition and multiplication makes numbers larger. Subtraction and division makes numbers smaller.

Since 12 is a positive number, the result of dividing a positive number by 12 will make it smaller.

8 0

4 years ago

How to do this question plz answer my question

Degger [83]

Answer:

$121.82

Step-by-step explanation:

Okay, this is kind of complex, so let's go step by step.

First, we want to find the area of the rectangular lawn - we can do this by multiplying the length and width. The length is 100 and the width is 45 so $45\cdot100=4500$ m² is the area of the rectangle.

However, there are 3 ponds in which the grass seeds will not be going - so we need to find the area of all 3 of these circles and subtract it from 4500 (our rectangle area).

The area of a circle is represented by the formula $\pi r^2$