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3 years ago

A bank teller has some stacks of bills. The total value of the bills in each stack

1 answer:

3 0

So since only 20 dollar bills and the other one is a 50
then

so we find some combos that will work
five 20's make 100
we notice that we can only have 20's in multipules of 5 to make 100's becauause 4 20's makes 80 and 3 20's make 60 and 2 20's make40 and none of those add to 50 evenly to make 100's
(probably confusing but I hope you understand if you think about it)

so we have
5 20's =100
10 20's=200
15 20's=300
20
25
30
35
40
45 20's=900
50 20's=1000

so how many multiplules did we have?
10
but wait, if we havve 1000 in all 20's we still need at least one 50 so we subtract 100
900:9
answe ris 9 stacks

answer is 9 stacks or A

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Which portion of the unit circle satisfies the trigonometric inequality cos^2theta + sin^2theta is greater than or equal to 1. A

liberstina [14]

Answer:

Only points on the circle satisfy the given inequality.

Step-by-step explanation:

Given: Unit circle

To find: portion of the unit circle which satisfies the trigonometric inequality $\sin ^2\theta +\cos ^2\theta \geq 1$

Solution:

In the given figure, OA = 1 unit (as radius of the unit circle equal to 1)

$\sin \theta$ = side opposite to $\theta$ /hypotenuse

$\cos \theta$ = side adjacent to $\theta$ /hypotenuse

$\sin \theta =\frac{AB}{AO}\\\sin \theta =\frac{AB}{1}\\AB=\sin \theta$

$\cos \theta=\frac{OB}{AO}\\\cos \theta =\frac{OB}{1}\\OB=\cos \theta$

So, coordinates of A = $\left ( \cos \theta ,\sin \theta \right )$

For any point (x,y) on the unit circle with centre at origin, equation of circle is given by $x^2+y^2=1$

Put $(x,y)=\left ( \cos \theta ,\sin \theta \right )$

$\cos ^2\theta +\sin ^2\theta =1$

So, $(x,y)=\left ( \cos \theta ,\sin \theta \right )$ satisfies the equation $x^2+y^2=1$

For points $(x,y)=\left ( \cos \theta ,\sin \theta \right )$ inside the circle, $\cos ^2\theta +\sin ^2\theta$

For points $(x,y)=\left ( \cos \theta ,\sin \theta \right )$ outside the circle, $\cos ^2\theta +\sin ^2\theta >1$

So, only points on the circle satisfy the given inequality.

4 0

3 years ago

Read 2 more answers

Rationalise the denominator of 1+√2/√2

andrew-mc [135]

Answer:((√2) + 2)/2

Step-by-step explanation:

(1+√2)/(√2) x ((√2)/(√2))

(√2(1+√2))/2

((√2)+2)/2

3 0

3 years ago

Josh believes the Spanish club students at his school have an unfair advantage in being assigned to the Spanish class they reque

Svetach [21]

You can calculate the following probabilities:
1. Given that a sampled student is in the Spanish Club, what is the probability they got the Spanish class they requested?
2. Given that a sampled student is not in the Spanish Club, what is the probability they got the Spanish class they requested? If there is a significant difference between the two probabilities, it indicates there is a bias in the selection procedure.

Given that, a sampled student is in the Spanish Club, the probability they got the Spanish class they requested is given by 265/335. Given that, a sampled student is not in the Spanish Club, the probability they got the Spanish class they requested is given by 100/165.

If a student is at the Spanish club, the probability they got the Spanish class they requested is 265/335 = 0.79. If a student is not in the Spanish club, the probability they got the Spanish class they requested is 100/165 = 0.61.

Based on the calculation, all students do not have an equal chance of getting into the Spanish class that they requested.

7 0

3 years ago

Read 2 more answers

Matthew pays his employees $15 per hour for a 40 hour week and pays overtime at a rate of time and a half for hours over 40 hour

garik1379 [7]

B. 712.50

40hrs x $15/hr= $600

5hrs OT x time & a half pay ($22.50)= $112.50

$600 + $112.50= $712.50

7 0

3 years ago

What are the answers here? ;)

Vesna [10]

Answer:

Function B has a greater rate of change.

Function B has a greater y-intercept.

Step-by-step explanation:

Rate of change: rise ÷ run

Function A: (9-5)÷(3-1) = 2

Function B: 3 (based on equation)

Function A: 5-2 = 3

Function B: 4 (based on equation)

5 0

3 years ago