How do you simplify csc x sin x/ cot x

6. Which property is illustrated by the equation ma + mb = m(a + b)? what’s the answer

BigorU [14]

Step-by-step explanation:

It's the DISTRIBUTIVE PROPERTY:

m(a + b) = ma + mb

$m\cdot(a+b)=m\cdot a+m\cdot b=ma+mb$

Other properties:

Commutative Property:

of addition: a + b = b + a

of multiplication: a · b = b · a

Associative Property:

of addition: (a + b) + c = a + (b + c)

of multiplication: (a · b) · c = a · (b · c)

8 0

3 years ago

The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington,

Leya [2.2K]

The ratio of cm to mi is 1/30, and we are looking for x/110. Since 1/30 = x/110, 30x=110.
x = 110/30 = 11/3 = 3.7 cm

7 0

3 years ago

The center of a circle is the point (3, 2). if the point (6, −2) lies on this circle, find the standard equation for the circle.

garri49 [273]

Given
centre of circle O(3,2)=O(x0,y0)
point on circle P(6,-2)

Standard equation of circle:
(x-x0)^2+(y-y0)^2=r^2

r=radius of circle
= (distance OP)
= sqrt((6-3)^2+(-2-2)^2)
=sqrt(3^2+(-4)^2)
=sqrt(25)

=>
r^2=(sqrt(25))^2=25

Equation of circle
(x-x0)^2+(y-y0)^2=r^2
(x-3)^2+(y-2)^2=25 ............... standard equation of circle

5 0

4 years ago

The value of 2 in 204.75 is how many times in the value of the 2 in 103.52

SOVA2 [1]

10000 times the value of the other one

5 0

3 years ago

A box contains 6 black pens, 4 blue pens, and 7 red pens. Without looking, Clarissa randomly picks a black pen out of the box. I

Irina18 [472]

Answer:

31.35%

Step-by-step explanation:

<h3>Initial reading:</h3>

In the box, there are:

6 Black pens
4 blue pens
7 red pens

Total number of pens in the box = 6 + 4 + 7

= 17

If we count pens as outcomes the total number of possible outcomes are 17.

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<h3>New reading:</h3>

Clarissa takes out a black pen from the box.

That reduces the number of black pens by 1 which increases the total number of pens by 1 as well.

So now:

Number of black pens = 6 - 1 = 5 
Total number of pens = 17 - 1 = 16

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<h3>Probability:</h3>

$\boxed{ \mathsf{probability = \frac{favorable \: outcomes}{total \: outcomes} }}$

If we want her to pick up a black pen, and she ends up picking one. So, we can say that the outcome is in our favor.

That makes it,

the number of favorable outcomes = number of black pens

= 5

and total outcomes = Total number of pens

= 16

$\implies\mathsf{probability = \frac{5}{16} }$

For showing it as some percent we'll just multiply the fraction by 100

$\implies \mathsf{ \frac{5}{16} \times 100 }$

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<h3>As a percent:</h3>

$\implies \mathsf{ \underline{ 31.25 \: \% } }$

4 0

3 years ago