Each patron can borrow the books for 2 weeks and renew the loan twice. What is the maximum number of days a patron can keep the books he borrowed from the library? (Its 564 patrons)

Answer: The number is 2

Step-by-step explanation: Suzie says that [tex]\frac{1}{2}[/tex], which is half of a whole, is equal to only [tex]\frac{1}{4}[/tex] of the unknown number. This means that to find the value of the unknown number, you need to multiply [tex]\frac{1}{2}[/tex] by 4 so that it equals to [tex]\frac{4}{4}[/tex] of the mystery number.

Simply put, multiply [tex]\frac{1}{2}[/tex] by 4. Then reduce for the answer, and this gives us these equations.

[tex]x=4(\frac{1}{2} )[/tex]

[tex]x=\frac{4}{2}[/tex]

[tex]x=2[/tex]

Hope that this helps!

Answer: D. 36

Step-by-step explanation: Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle . And in the given diagram, angle subtended on the circle by arc XZ=60 degree . So arc XZ =2*60=120. Therefore measurement of arc xyz=360-120=240 degree.

The measurement of arc xyz is 240 degrees.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle .

In the given diagram, angle subtended on the circle by arc XZ=60 degree .

So arc XZ =2 times of 60

=2×60

=120.

The measurement of arc xyz=360-120=240 degree.

Hence, the measurement of arc xyz is 240 degrees.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

Answer: -0.383864035

Step-by-step explanation: Tan(159) = -0.383864035

Answer:

1. The circle’s radius is approximately 14 cm.

2. The circle’s radius is approximately 7 cm.

3. The circle’s area is approximately  154 cm2

Question:a circled circumference is approximately 44cm

Complete each statement using one of these values : 7,11,14,22,88,138,154,196,380,616, Answers without letters: 1. 14cm  2. 7cm 3. 154 cm2

.7 * 295.99 = original price

.7 * 295.99 = 207.193 = $207.19

Answer:

4 because the edges are like vertices.

Answer:

6 & 7.

Step-by-step explanation:

make one of the numbers x. The number succeeding it will be x +1

Their product is 42

x(x+1) = 42

x²-x-42=0

Answer:

i can't understand can u show it carefully

Answer:

0

Step-by-step explanation:

you dont own any tickets, so how can you have any probability of winning? 2000 other people, or at least 2000 other tickets are owned by other people than you.

The length of the walkway is 24 ft, and you will need 24 stones to cover it.

The length of the walkway will be equivalent to the hypotenuse of a right triangle with cathetus of 23ft and 18ft, so we can use the Pythagorean theorem to get it:

L^2  =(23fy)^2 + (18ft)^2

L = √( (23fy)^2 + (18ft)^2 ) = 23.77ft

The walkway is 23.77 ft long.

Rounding to the nearest foot, the length is 24 ft.

b) If each stone covers 1 ft, then you will need 24 stones.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Answer:

<4= 45○

Step-by-step explanation:

Step by step explanation is found on pic.

Hope that Helps :)

Answer:

M = 9

Step-by-step explanation:

the value of M is 9

Answer:

3π, 6π

Step-by-step explanation:

12π*1/4=3π

16π*135/360=6π

the length of arc:

[tex]\tt =\dfrac{\alpha }{360}\times 2\pi.r[/tex]

5.

[tex]\tt \dfrac{90}{360}\times 2\pi6= 3\pi~yd[/tex]

7.

[tex]\tt \dfrac{135}{360}\times 2\pi.8=6\pi~km[/tex]

Answer:

Step-by-step explanation:

Yes

You almost have an isosceles triangle. The lengths of the longest line segments differ by by 0.3. So the base of the triangle is 2.8 and the long segments are connected to each other and each of them at end of 2.8

Answer:

I think option no B

hope it will help you

7686:9=854

(7200+486):9=(800 + 54)

Answer:

Step-by-step explanation:

1 / -4 = -0.25
(excuse my bad mouse drawing)

Answer:

HI = EF

Step-by-step explanation:

We are given that the sides GH and DE of the triangles are congruent. GH = DE

Also, we are given that the angles H and E are congruent.

H = E

Given that HI is congruent to EF, then the triangles are congruent, by Side Angle Side SAS

.

[tex] \rm \looparrowright - \frac{1}{4} (8 - 4 + 20x)[/tex]

Subtract the numbers

[tex] \rm \looparrowright - \frac{1}{4} (4+ 20x)[/tex]

Factor out 4 from the expression

[tex] \rm \looparrowright - \frac{1}{ \cancel4} \times \cancel4(1 + 5x)[/tex]

[tex] \rm \looparrowright - (1 + 5x)[/tex]

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to -

[tex] \rm \looparrowright - 1 - 5x[/tex]

Answer:

1

Step-by-step explanation:

using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]  , [tex]a^{0}[/tex] = 1 , then

[tex]9^{4}[/tex] × [tex]9^{-4}[/tex]

= [tex]9^{(4+(-4))}[/tex]

= [tex]9^{(4-4)}[/tex]

= [tex]9^{0}[/tex]

= 1

Answer:

There are 70 two digit numbers that are greater than or equal to 30

Step-by-step explanation:

hope it helps you

Answer:

  35

Step-by-step explanation:

There are 100 -30 = 70 2-digit positive integers. Half of them are odd.

There are 35 odd 2-digit positive integers greater than 30.

__

Additional comment

For n = 1 .. 35, those numbers are 2n+29.

Answer:

looks like 2

Step-by-step explanation:

Points where two lines cross are solutions they share

Answer:

Y=-x-1

explanation:

(1,-2)

(2,-3)

And use the slope formula, y2-y1/x2-x1

Where y2=-3

Y1=-2

X1=1

X2=2

So

-3+2/2-1=-1

So the slope is -1 and y intercept is -1

Let’s plug those values in:

Y=-x-1

Hope this helps!

x = total amount split between Adam and Tom.

since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.

[tex]\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft[/tex]

Answer:

0.4

Step-by-step explanation

2/0.15+x/0.06=x+2/0.12

30=x/0.12+2/0.12

1.6+2x=x+2

x=0.4

Answer:

.................................

Answer:

I don't know the answer but have a amazing day!<3

Step-by-step explanation:

Be happy.

Step-by-step explanation:

I solved it by steps...

I hope you understand...