Craig likes to collect vinyl records. Last year he had 10 records in his collection. Now he has 12 records. What is the increase of his collection

Given:

The point is (-6,5).

It is on the terminal side of theta.

To find:

The values of [tex]\sin\theta[/tex] and [tex]\cos \theta[/tex].

Solution:

In the point (-6,5),

x-coordinate : x=-6

y-coordinate : y=5

So, [tex]r=\sqrt{x^2+y^2}[/tex]

[tex]r=\sqrt{(-6)^2+(5)^2}[/tex]

[tex]r=\sqrt{36+25}[/tex]

[tex]r=\sqrt{61}[/tex]

Now,

[tex]\sin \theta=\dfrac{y}{r}[/tex]

[tex]\sin \theta=\dfrac{5}{\sqrt{61}}[/tex]

[tex]\cos \theta=\dfrac{x}{r}[/tex]

[tex]\cos \theta=\dfrac{-6}{\sqrt{61}}[/tex]

Therefore, the required values are [tex]\sin \theta=\dfrac{5}{\sqrt{61}}[/tex] and [tex]\cos \theta=-\dfrac{6}{\sqrt{61}}[/tex].

Answer: mPOQ = 86°

Step-by-step explanation: I took the test yesterday and got it correct, I am reliable

The value of the angle m∠POQ will be the difference between ∠NOQ to m∠NOP thus it will be 86°.

An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.

The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.

As per the given,

∠NOQ = ∠NOP + ∠POQ

123 = 37 + ∠POQ

∠POQ = 123 - 37 = 86°

Hence "The value of the angle m∠POQ will be the difference between ∠NOQ to m∠NOP thus it will be 86°".

For more about the angle,

brainly.com/question/13954458

#SPJ5

Answer:

the third number is 70000

Answer:

Step-by-step explanation:

The urn contains 3blue balls 5 red balls

a) probability of getting a red ball

   P=no of favourable of outcomes /total no outcomes

   P(red ball) = 5/8

b) Probability of blue ball

  P(blue ball) = 3/8

c) Odds getting a red ball

   odds in favour of any object = m/n

   m : event to occur

   n  : event will not occur

 Odds(red ball) = 5/3

d)

Odds(blue) = 3/5

Answer:

(-10,-10)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

slope -3

y intercept (0,2)

Option A is correct, y=-3x+2 is the equation of the line that best represents the graph of the line.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The line passing through points (1, -1) and (-2, 8)

m=8+1/-2-1

m=-3

Now let us find the y intercept

8=-3(-2)+b

8=6+b

2=b

y=-3x+2 is the equation of line.

Hence, y=-3x+2 is the equation of the line that best represents the graph of the line.

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ3

Answer:

55 mph

Step-by-step explanation:

Answer:

Step-by-step explanation:

rate=distance/time=275/5=55 miles per hour

Answer:

because they want money.

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

1/2x = -3

Divide both sides by 1/2

1/2x / 1/2 = -3 / 1/2

x = -6

Hope this helps and pls do mark me brainliest if you can:)

Answer:

-6

Step-by-step explanation:

to get rid of the 1/2 multiply it by 2 and multiply -3 by the 2 aswell

(2) 1/2x  = -3 (2)

x=-6

Answer:

1 sheet of card is 24.5mm thick. I think the keyword here is thick

Step-by-step explanation:

245/10=24.5

Answer:

percent is that no. as we generally denotes 33 /100 as 33percent

Step-by-step explanation:

Answer:

48 cm^2

Step-by-step explanation:

We can substitute the h in the given equation with 8.

1/2 * (8+4) * 8

Next we can add inside the parenthesis

1/2* (12) * 8

Another way we can write 1/2* 12 is 12 divided by 2 which is equivalent to 6.

So, now our equation is 6*8

6*8 = 48 so our answer is 48 cm^2

Hope this Helps!!! :)

Answer:

62 g

brainliest plz? ty

Answer:

hope this helps

Step-by-step explanation:

62 is the answer

Answer:

y = 1/2x + 10.5

Step-by-step explanation:

Answere: Jessie needs 15/24 more gallons of paint.

Explanation:

Words such as more than us know that this problem is subtraction, info from this problem also lets us know that we need to subtract 15/8 - 5/6

To intrept this expression:

15/8 - 5/6

45/24 - 20/24

15/24

You make the fractions, with like denominators, then subtract only the numerators.

Hope this helps!

1.5

Step-by-step explanation:

As a decimal you should be able to convert it

Answer: it would be c on the test if your not on the test i dont know what it would bb ;]

Step-by-step explanation:

A ratio is a way of comparing two or more similar quantities. Ratios can be used to compare

costs, weights, sizes and other quantities.

For example, suppose we have a model boat which is 1 m long, whereas the actual boat is 25 m

long. Then the ratio of the length of the model to the length of the actual boat is 1 to 25. This

is written as

1 : 25 .

Note there are no units included, and note also the use of the colon to represent the ratio.

Ratios are also used to describe quantities of different ingredients in mixtures. Pharmacists

making up medicines, manufacturers making biscuits and builders making cement all need to make

mixtures using ingredients in the correct ratio. If they don’t there may be dire consequences!

So knowing about ratios is not only very important, but extremely useful and crucial in certain

circumstances.

For example, mortar for building a brick wall is made by using 2 parts of cement to 7 parts o

Answer:

[tex]r = 2[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (5,96)[/tex]

Required

Determine the common ratio

An exponential function is of the form.

[tex]y(x) = ar^x[/tex]

For:

[tex](x_1,y_1) = (0,3)[/tex]

We have:

[tex]3 = a * r^0[/tex]

[tex]3 = a * 1[/tex]

[tex]a= 3[/tex]

For

[tex](x_2,y_2) = (5,96)[/tex]

We have:

[tex]96 = ar^5[/tex]

Substitute 3 for a

[tex]96 = 3 * r^5[/tex]

Divide both sides by 3

[tex]\frac{96}{3} = \frac{3 * r^5}{3}[/tex]

[tex]32 = r^5[/tex]

Express 32 as an exponent of 2

[tex]2^5 = r^5[/tex]

By comparison

[tex]2 = r[/tex]

[tex]r = 2[/tex]

Answer:

The answer is false.

Step-by-step explanation:

Answer:

x <−22

Step-by-step explanation:

Let's solve your inequality step-by-step.

−2x+5>49

Step 1: Subtract 5 from both sides.

−2x+5−5>49−5

−2x>44

Step 2: Divide both sides by -2.

2x/ -2 > 44/ -2

Answer:

Yes

Step-by-step explanation:

Answe

yes

Step-by-step explanation:

3/4ths is equal to .75 so its more tha it

This shows that as x approaches -7 and 7, the value of y approaches infinity. As x approaches -7 from the left, y approaches ∞.

The vertical asymptotes of a function is the point where the denominator of the rational function approaches zero.

Given the rational function shown:

[tex]\dfrac{-2x^2+14}{x^2-49}[/tex]

The vertical asymptotes occurs when x^2 - 49 = 0

Add 49 to both sides

x^2-49 + 49 = 49

x^2= 49

x = ±7

This shows that as x approaches -7 and 7, the value of y approaches infinity

Learn more on vertical asymptotes here: https://brainly.com/question/4138300

#SPJ1

Step-by-step explanation:

7x − 3 = 25

Add 3 to both sides.

7x = 28

Divide both sides by 7.

x = 4

Answer:

I think is add 3 from both sides

Step-by-step explanation:

7x-3=25

25+3=28

7x=28

x=4

Let angle 4 denote the angle adjacent to angle 3 on the right side (so between lines a and b, to the right of line c). Angles 3 and 4 are then supplementary.

Lines a and b are parallel, so angles 1 and 4 are congruent because they are alternating interior angles.

By the transitive property, angles 2 and 4 are also congruent.

Again, transitively, angles 2 and 3 are supplementary.

Let angle 5 denote the angle to the left of angle 2 (between a and b, to the left of d). Angles 5 and 2 are supplementary.

Transitively, angles 5 and 3 are congruent.

These two angles correspond to one another, so lines c and d are parallel.

Answer:

3.42 x 10^-4

Step-by-step explanation:

Answer:

Both 79°.

Step-by-step explanation:

In geometry, when an angle is said to be bisected, it implies that the angle is divided into two equal parts.

Therefore, if an angle that measures 158° is bisected, it is divided into two equal angles. That is:

[tex] \frac{158}{2} = 79 [/tex].

Therefore, the bisecting of an angle of 158° will result into two resulting angles of 79° each.

Answer:

their average present age should be 40

Step-by-step explanation:

they were 35, 5 yrs ago. just add the 5yrs to 35 yrs old and you will get their present age.

Answer:

Step-by-step explanation:

Average age 5 years ago: 35

Sum of ages 5 years ago: 2(35), or 70

Sum of ages now: 70 + 2(5), or 70 + 10 = 80

Current average: 80/2 = 40

So, their average age is 40!

Hope this helps :)

Answer:

b.

Step-by-step explanation:

If de is = to 2 then the direction of the axis will hit the sun on different spots

Answer:

[tex]24x(3 \times 2) 4x + 2y + 6 = \\ 576x {}^{2} + 2y + 6[/tex]

Step-by-step explanation:

[tex]if \: 24x(3 \times 2) 4x + 2y + 6 \\ = 576x {}^{2} + 2y + 6 \\ \\ \\ \\ \\ ♨Rage♨[/tex]

Answer:

576x + 2y + 6

Step-by-step explanation:

so let's work this out

first as you can see we need to work this out in BODMAS Method, but there are also expression.

First do the brackets

3 x 2 = 6

so it is simplified to

24x X 6 X 4x + 2y + 6

We can multiply 24x to 6, even if it doesn't have the same pro numeral since, when multiplying we don't have to look for pro numeral, but if we are adding or subtracting, we can't add or subtract a number with a number that doesn't have the same pro numeral.

so

24x X 6 = 144x X 4x = 576x

Then it is simplified to

576x + 2y + 6

we can't simplify it anymore, since it doesn't have the same pro numeral.

Answer = 576x + 2y + 6

Hope you understand

:-)