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4 years ago

Properties of rotations

Mathematics

2 answers:

mariarad [96]4 years ago

7 0

Answer:

A rotation maps a line to a line, a ray to a ray, a segment to a segment, and an angle to an angle.

A rotation preserves lengths of segments.

A rotation preserves measures of angles.

Step-by-step explanation:

Mice21 [21]4 years ago

3 0

I’m sorry idk bout that one

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Simplify the following expression. cot^2x secx-cosx

Solnce55 [7]

ANSWER

$\cos(x) \cot ^{2} (x)$

EXPLANATION

The given expression is;

$\cot^{2} (x) \sec(x) - \cos(x)$

Change everything to

$\sin(x)$

and

$\cos(x)$

This implies that,

$\frac{ \cos^{2} (x) }{ \sin^{2} (x) } \times ( \frac{1}{ \cos(x) } )- \cos(x)$

Cancel the common factors,

$\frac{ \cos(x) }{ \sin^{2} (x) } \times ( \frac{1}{1} )- \cos(x)$

$\frac{ \cos(x) }{ \sin^{2} (x) }- \cos(x)$

$\frac{ \cos(x) - \sin ^{2} (x) \cos(x) }{ \sin^{2} (x) }$

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

$= \frac{ \cos(x)(\cos^{2} (x) ) }{ \sin^{2} (x) }$

$= \cos(x) \cot^{2} (x)$

6 0

3 years ago

The following is a linear sequence. 1, 4, 7, 10, 13...

jasenka [17]

We have

$a_n = 3n - 2$

We're asked for $a_{90}$

$a_{90} = 3(90) - 2 = 268$

Answer: C 268

8 0

4 years ago

Mai's bank account is oversrawn by $60,which means her balance is -$60. She gets $85 for her birthday and deposits it into her a

Phoenix [80]

Answer:

Step-by-step explanation:

-60 plus 85 equals 25 so she has 25 dollars in the bank now.

6 0

3 years ago

Read 2 more answers

What is the fractional equivalent of 0.2323

kicyunya [14]

Hello!

Your answer is $\frac{23}{99}$

If you use a calculator and divide 23 by 99, you will get 0.232323............

Answer ⇒ $\frac{23}{99}$

8 0

4 years ago

Question 3

Galina-37 [17]

(a) The vertical motion equation for the ball is h = 8 + 48t - 16t².

(b) The time for the ball to hit the ground is 3.15 s.

<h3>Vertical motion equation for the ball</h3>

The vertical motion equation for the ball is calculated as follows;

h = h₀ + vt - ¹/₂gt²

h = 8 + 48t - ¹/₂(32)t²

h = 8 + 48t - 16t²

<h3>Time for the ball to hit the ground</h3>

0 = 8 + 48t - 16t²

solve the above quadratic equation with formula method;

a = -16, b = 48, c = 8

t = 3.15 s

<h3>Time for the ball to be 56 ft above the ground</h3>

let upward motion be positive

h = 8 + 48t + 16t²

56 = 8 + 48t + 16t²

0 = -48 + 48t + 16t²

solve the above quadratic equation with formula method;

a = 16, b = 48, c = -48

t = 0.79 s

Learn more about equation of motion here: brainly.com/question/25951773

#SPJ1

5 0

3 years ago