What is the distance on the unit circle between successive fourth roots of StartFraction StartRoot 3 EndRoot Over 2 EndFraction minus one-half I ?

a) pi/3

b) pi/2

c) 2pi/3

d) pi

Answer:

8/15

Step-by-step explanation:

Given that school A has 600 students and school B has 900 students.

As in School A, 1/3 of the children attend the after-school program.

So, the number of students in school A, who attend the after-school program, n_A= 1/3 x 600 = 200.

As in School B, 2/3 of the children attend the after-school program.

So, the number of students in school B, who attend the after-school program, n_B= 2/3 x 900 = 600.

Total number of elementary school students in the county who attend the after -school program= n_A +n_B = 200 + 600 = 800.

Total number of elementary school students in the county,

N = 600+900=1500

Hence, the fraction of elementary school students in the county who attend the after-school program = 800/1500 = 8/15.

Answer:

a=-8

Step-by-step explanation:

Answer:

The answer is C. 2 pounds

Step-by-step explanation:

Add all the numbers up and then divide by the numbers of sets. The average is the same as the mean.

This is for the ones on Plato

Answer:

Yes that's correct. I just took a test on this not to long ago and got a 100%. I had this type of problem.

Step-by-step explanation:

Hope this helps!

Answer:

Yes you are correct. It would be one.

Step-by-step explanation:

Answer:

The answer is 9

Step-by-step explanation:

set up the equation as 12^2 + b^2 = 15^2

solve the exponents and you get 144 + b^2 = 225

Then subtract 144 from both sides and get 81

After that just do the square root of 81 and you get 9

pls mark brainliest

Answer:

x=5

y=7

(5,7)

Step-by-step explanation:

solved by substitution.

Answer:

p=13

Step-by-step explanation:

set 7p-1=90. Add 1 to 90 to get 7p=91. 91/7 equals 13

Answer:

The answer is B.

Answer:

1/12

Step-by-step explanation:

Convert to a simplified fraction.

Answer:

83/1000

Step-by-step explanation:

192=3943

Answer:

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to  [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].

Hence, option 'c' is true.

Step-by-step explanation:

Given the expression

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex]

Rewrite as

[tex]=\log _b\left(\left(\frac{57}{74}\right)^{\frac{1}{2}}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule\:}\log _a\left(x^b\right)=b\cdot \log _a\left(x\right),\:\quad \mathrm{\:assuming\:}x\:\ge \:0[/tex]

[tex]=\frac{1}{2}\log _b\left(\frac{57}{74}\right)[/tex]

[tex]\mathrm{Apply\:log\:rule}:\quad \log _c\left(\frac{a}{b}\right)=\log _c\left(a\right)-\log _c\left(b\right)[/tex]

[tex]=\frac{1}{2}\left(\log _b\left(57\right)-\log _b\left(74\right)\right)[/tex]     ∵ [tex]\log _b\left(\frac{57}{74}\right)=\log _b\left(57\right)-\log _b\left(74\right)[/tex]

Therefore,

[tex]\log _b\left(\sqrt{\frac{57}{74}}\right)[/tex] is equivalent to  [tex]\frac{1}{2}\left(\log \:_b\left(57\right)-\log \:_b\left(74\right)\right)[/tex].

Hence, option 'c' is true.

Answer:

it equals 89/90

Step-by-step explanation:

the gcf of 89, 90 is 1, so the fraction can not be simplified. The answer is 89/90.

Answer:

3/4

Step-by-step explanation:

0.75 is equal to three fourths

Answer:

3/4 is equivalent to 0.75

Step-by-step explanation:

Hope this helps c:

Answer:

Commutative property: states that the order in which we multiply numbers does not change the product.

Associative property: states that you can add or multiply regardless of how the numbers are grouped (aka parenthesis).

Answer:

8x+lly=205x-11y=-59u200b

Step-by-step explanation:

i calculated it

Answer:

31

Step-by-step explanation:

5(5) + 6

5 x 5 = 25

25 + 6 = 31

Answer:

1.33%

Step-by-step explanation:

$9.74 - $9.61 = $0.13

(0.13 divided by $9.74) times 100

=1.33%  

Answer:

it create angle CFD and angle EFD

Step-by-step explanation:

i believe it create that because after the one triangle gets broken into 2, its saying the two smaller angles next to the f.

Answer:

4,5

Step-by-step explanation:

I think it is 4,5. It says reflection of it across the line, and it is in the 4th quadrent, so that -5 will become a positive 5, and the 4 will stay the same.

Answer:

37

Step-by-step explanation:

10z=3 and z=4

substitute

10(4)-3

simplify

40-3

answer

37

Answer:

A quadratic equation for the height of an object is written as:

h(t) = a*t^2 + b*t + c

We can derivate it with respect to the time to get the velocity:

v(t) = 2*a*t + b

We can derivate it with respect to the time to get the acceleration:

a(t) = 2*a

Then:

a = half of the acceleration. (the gravitational acceleration for problems like this)

b = initial vertical velocity.

c = initial height.

In our case we have:

h(t) = -16t^2 + 44t + 3.5

-16 is half of the acceleration, we know that the gravitational acceleration is:

g = 32ft/s^2, and we have a negative sign because the gravity pullls the ball downwards.

44 is the initial vertical velocity of the ball  (44ft/s)

3.5 is the initial height. (3.5ft)

Then the statement of Ivan is incorrect because the 16 does not represent the initial velocity

Answer:

Andy gets 60

Polly gets 30

Phoebe gets 180

Answer:

Yes it's a function

Step-by-step explanation:

Its a function because the rule of a function is the values of one variable quantity to the variables of another quantity. And that is what the picture shows

Answer:

Well, the x intercept will be -1.5 and the y-intercept will be -3. It will be a negative slope with a slope of -4/2

Answer:

The point were the line crosses the x and y axis are (-1.5,0) and (0,-3).

Answer:

6.3232 is greater

Step-by-step explanation:

Answer:

D) -5/2

Step-by-step explanation:

(0, 5) (8, -15)

-15 - 5 = -20

8 - 0 = 8

-20/8 = -5/2

Answer:

-4/7

Step-by-step explanation:

(5,3)   (-2,7)

(x1,y1) (x2,y2)

(7) - (3) / (-2) - (5)

= -4/7

Answer:

1/2

Step-by-step explanation:

x^3=1/8.

We know 2^3(2*2*2)=8. So 1/2*1/2*1/2=1/8.

Answer:

Step-by-step explanation:

Given  a pair of alternate exterior angle of 4x + 24 and 8x, we are to find the value of x that will make m and n parallel.

Alternate exterior angles are equal, hence;

4x + 24 = 8x

24 = 8x - 4x

24 = 4x

Rearrange

4x = 24

Divide both sides by 4

4x/4 = 24/4

x = 6

Hence the value of x required is 6