Simply the radical 125

Answer:

A or C  Sorry!

Step-by-step explanation:

The ordered pair of a unit circle is represented as:

[tex](x,y) \to (\sin(\theta),\cos(\theta))[/tex]

The point where the terminal side of [tex]\tehta[/tex][tex]\theta[/tex] intersect with the unit circle is: 240

The given parameter can be represented as:

[tex](x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})[/tex]

This means that:

[tex]\sin(\theta) = -\frac{\sqrt 3}{2}[/tex]

[tex]\cos(\theta) = -\frac{1}{2}[/tex]

Let the angle between the x-axis and the terminal side be [tex]\alpha[/tex]

So, we have:

[tex]\theta = 180 + \alpha[/tex]

Using [tex]\cos(\theta) = -\frac{1}{2}[/tex]

The equation becomes

[tex]\cos(180 + \alpha) = -\frac{1}{2}[/tex]

Apply cosine formula

[tex]\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha)= -\frac{1}{2}[/tex]

Divide both sides by -1

[tex]\cos(\alpha)= \frac{1}{2}[/tex]

Take arccos of both sides

[tex]\alpha= \cos^{-1}(\frac{1}{2})[/tex]

[tex]\alpha= \cos^{-1}(0.5)[/tex]

[tex]\alpha= 60[/tex]

Recall that:

[tex]\theta = 180 + \alpha[/tex]

[tex]\theta = 180 +60[/tex]

[tex]\theta = 240[/tex]

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Answer: The simplification is [tex]5*a^{-9}*b^{-9}[/tex]

Step-by-step explanation:

Here we need to use the property:

[tex]\frac{a^n}{a^m} = a^{n - m}[/tex]

We have the expression:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b}[/tex]

We can separate it in parts with the same base, then we can rewrite this as:

[tex]\frac{25*a^{-5}*b^{-8}}{5*a^{4}*b} = \frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b}[/tex]

Using the first property we can rewrite this as:

[tex]\frac{25}{5} \frac{a^{-5}}{a^4} \frac{b^{-8}}{b} = 5*a^{-5 - 4}*b^{-8 - 1} = 5*a^{-9}*b^{-9}[/tex]

Answer:

8/ (2/3)= 12

It will take Luisa 12 days to finish the book.

Answer:

44

Step-by-step explanation:

because i just did the test

The length of the segment in the given figure is 44 units.

Consider triangle STR and ΔQTR.

We have to find the length of QV.

∠TRQ = ∠TRS = 90°

TR = TR (Common)

SR = RQ (Given)

So, ΔTSR ≅ ΔTQR ( By SAS Congruence Criterion)

So, By CPCT (Correspondence part of congruent triangle)

TS = TQ

2x+8=40

2x=32

Divide both sides by 2

x=16

Now segment QV=3x-4

3(16)-4

48-4=44 units

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Answer:

4000m

Step-by-step explanation:

km to m --> multiply by 1000

4km * 1000 = 4000m

Answer:

6 vans

Step-by-step explanation:

If 1 van can seal 18 students...

116 ÷ 18 = 6.4

Since it's not a whole number, we will estimate it to the nearest whole number which is 6.

Answer: you need seven vans

Answer:

40

Step-by-step explanation:

The answer should be 40 assuming that there are positive real numbers.

You simplify the radical into a product with known factors

sorry If that doesnt make sense lol

Answer: yes

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

We know that the two quads are of similar and the ratio is 1:2, thus

AB/RS = 1/2

3/x = 1/2

x = 6

Answer:

The terms of the sequence are x=5 and a=2:

[tex] x + (x + a) + (x + 2a) = 21 [/tex]  →  [tex] 5 + (5 + 2) + (5 +2*2) = 21 [/tex]

[tex] x*(x + a)*(x + 2a) = 315 [/tex]  →  [tex] 5*(5 + 2)*(5 + 2*2) = 315 [/tex]

Step-by-step explanation:

We can find the terms of the following sequence:

[tex] x + (x + a) + (x + 2a) = 21 [/tex]

[tex] 3x + 3a = 21 [/tex]      

[tex] x + a = 7 [/tex]      (1)

The product of that sequence is:

[tex] x*(x + a)*(x + 2a) = 315 [/tex]    (2)

Solving equation (1) for x:

[tex] x = 7 - a [/tex]  (3)

And by entering (3) into (2):

[tex] (7 - a)*(7 - a + a)*(7 - a + 2a) = 315 [/tex]  

[tex] 7*(7^{2} - a^{2}) = 315 [/tex]  

[tex] 343 - 7a^{2} = 315 [/tex]    

[tex] a = 2 [/tex]  

Now, by entering "a" into equation (3):

[tex] x = 7 - 2 = 5 [/tex]  

Therefore, the terms of the sequence are x=5 and a=2.

I hope it helps you!

Step-by-step explanation:

T=D/S

D=360m

S=12m/s

360m÷12m/s

Time=30s

Answer:

This is an example of positive nonlinear association

Step-by-step explanation:

So we know for a fact that the relationship between the the variables in the scatter plot is positive because its going up

The relationship is non linear because it has a curve

The given scatterplot is option C. Positive Linear Association.

Here, we have,

we know that,

Scatterplots are the plotting of set of points on a vertical axis and an horizontal axis. The shows the correlation extent between the numbers of the observed quantities.

Given is a scatterplot.

A scatterplot is positive if an increase or decrease in one of the quantity results in the corresponding increase or decrease in the other quantity.

If it is opposite, then the relation is negative.

Here, when the x value increases, y value is also increasing.

So the relationship is positive.

A scatterplot show a linear relationship, if the values are closely resembling in a line.

Here the points are closely resembling on a line.

So it is linear.

Hence the relationship is positive linear relationship.

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Answer:

Step-by-step explanation:

Surface Area = 4πr²

Volume = 4/3 πr³

VOLUME

4/3 *6³ *π=

4/3 *216π

216/3 = 72*4 = 288π

SURFACE AREA

4*π*6²=

4*36π=

144π

Overall the answer should be C.

Answer:

B?

Step-by-step explanation:

I feel like the answer would be b but I'm not that good with fractions so don't choose my answer right away...

Answer: 50 minutes

Change 1 hour 45 minutes into minutes by adding 60 to 45.

60 + 45 = 105

Shes watched 55 minutes so we subtract that from 100 to get our answer

105 - 55 = 50

Answer:

roughly 10.72

Step-by-step explanation:

Use Phyth. Thm.

16^2 + x^2 = 25^2

x^2 = 369

= 19.20937271 (this is now the height for the second triangle)

x^2 + 19.20937271^2 = 22^2

115.0000001 = x^2

x =  roughly 10.72

Answer:

y = -2x² + 8x + 10

Step-by-step explanation:

let's adjust the coordinates of vertex to a whole number: (2 , 17.75) to (2 , 18)

Quadratic equation: y = ax² + bx  c    or    y = a(x-h)² + K  (h,k) is the vertex

y = a (x-2)² + 18

a = (y-18) / (x-2)² = (16-18) / (1-2)² = -2    : calculate use point (1 , 16)

y = -2 (x-2)² + 18

y = -2x² +8x + 10

Answer:

Step-by-step explanation:

Answer: Hi there the answer is:

B.) 6.3

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

slopes of parallel lines are the same

Answer:

x = 11?

Step-by-step explanation:

I do not know right now sorry hope someone else helps you!

Answer: 80 of jimmys baseball cards are Braves Baseball Players

Step-by-step explanation:

2/9 of 360 is 80

I did 2/9 x 80

Answer:

top right one

Step-by-step explanation:

Answer:

72-12-12-12-12-12-12

Step-by-step explanation:

Since 12*6=72 is just 12 +12 6 times/ division is just the opposite

Answer:

D.

Step-by-step explanation:

all numbers except d are pythagorean triples, hope this helps!!

Answer:

[see below]

Step-by-step explanation:

Randy first won 12 points on Monday. He earned as twice as many on Tuesday.

12 * 2 = 24

Randy scored 24 points Tuesday.  

Randy earned 3 more points than Tuesday's points the next day.

24 + 3 = 27

Randy earned 27 points Wednesday.

12 + 24 + 27 = 63

Randy should earn a total of 63 points for the 3 days.

Hope this helps.

Answer:

18 ft

Step-by-step explanation:

18 is the only answer bigger than 9 and its obviously bigger than 9

The length of the segment AC of the triangle is AC = 18 feet

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be represented as ΔABC

Let the second triangle be represented as ΔMBN

Now , the measure of side AM = MB

And , the measure of side CN = BN

So , the triangles are similar and corresponding sides of similar triangles are in the same ratio

Therefore , AB / MB = AC / MN

On simplifying , we get

8 / 4 = AC / 9

Multiply by 9 on both sides , we get

AC = 2 x 9

AC = 18 feet

Hence , the length of AC = 18 feet

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