URGENT PLZ HELP

find the diameter of circle Q if angle PQR measures 31° and the arc length of PR is 9 cm

Answer:

[tex]20\pi[/tex] m

OR

62.8318531 m

Step-by-step explanation:

This is actually pretty simple

The distance the tip travels is the arc length and the length of the pendulum is the radius of a circle

The formula for arc length is Angle in Radians x Radius

So pi/12 * 4 = pi/3 m

We know this is how much it travels every second so it is going at pi/3 m/s

One minute is 60 seconds

pi/3 * 60 = 20pi m

The solution is the point where the lines cross. So (-1, -2)

Answer:

Area = pi * r^2

r is half of the diameter

Area = pi * 14^2

Area = 196 pi

196 * 3.14

Area is approximately 615.44 cm^2

Answer

B

Step-by-step explanation:

5*5*6=150

Answer:

150

Step-by-step explanation:

Answer:

2 1/6

Step-by-step explanation:

8 2/3 - 7 1/2 = 2 1/6

9514 1404 393

Answer:

  1 1/6 miles east of home

Step-by-step explanation:

If we consider east to be positive, then the distance from home to office is ...

  (-7 1/2) +(+8 2/3) = -7 3/6 +8 4/6 = (8 -7) +(4/6 -3/6) = +1 1/6

Farris's office is 1 1/6 miles east of his home.

Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

Answer:

26 pi

Step-by-step explanation:

Answer:

531

Step-by-step explanation:

first the formula for finding the circumference of a circle is πr2

where π = 22/7

r = 13x13

hence, circumference = πr2

= 22/7 x 13 x 13

= 22/7 × 169

= 22 x 169/7

= 3718/7

= 531 cm

Answer:

z < -2

g is indeterminate

Step-by-step explanation:

For the inequality Z - ( -7 ) < 5

open the parenthesis

z+7 < 5

Subtract 7 from both sides

z+7-7 < 5-7

z < -2

For 8(3g - 2) <= 12(2g + 1)

Expand

24g -16 ≤ 24g + 12

24g - 24g ≤  12+18

0g≤  28

g ≤  28/0

Hence g is indeterminate

Answer:

36 plus 36 plus 72 = 144 or 72 + 72= 144

Answer:

eyjdnfbhs

Step-by-step explanation:

Answer:

5. x=11

6.x=9

Step-by-step explanation:

5. 8 x 3=24

264/24=11

6. 4.5 x 4= 18

162/18=9

Answer:

625 metres

Step-by-step explanation:

Given the area function expressed as a(w)=-(w-25)^2+625.

The maximum area occurs at when da/dw = 0

da/dw = -2(w-25)

0 = -2(w-25)

-2(w-25) = 0

w - 25  = 0

w = 25

Substitute w = 25 into the modeled equation;

Recall a(w)=-(w-25)^2+625.

a(25)=-(25-25)^2+625

a(25) = 0+625

a(25) = 625

Hence the maximum area possible is 625 metres

Answer:

Sardar has a 29% chance of inheriting at least some money.

Step-by-step explanation:

Since Sardar has two old rich aunts, Betty and Gwenda, assuming they will both die before he does, for each aunt, Sardar thinks the chance that she will leave him some money if she dies first is 1/3, but Sardar thinks that if Gwenda dies first, the chance that Betty will leave him money is only 1/4, and if Betty dies first, the chance Gwenda will leave him money is also 1/4, to determine what is the probability that he will inherit at least some money by the time they both die the following calculation must be performed:

(1/3 + 1/4) / 2 = X

(0.333 + 0.25) / 2 = X

0.58333 / 2 = X

0.29 = X

Therefore, Sardar has a 29% chance of inheriting at least some money.

Based on the various probabilities that Sardar's aunts will leave him money when they die, the probability that he will at least inherit some money is 0.4375.

This can be found by the formula:

= Probability that Gwenda leaves money + Probability that Betty leaves money - Probability that both leave money

Solving gives:

=  1/4 + 1/4 - (1 / 4 x 1 / 4 )

= 1/2 - 1/16

= 0.4375

Find out more on probabilities at https://brainly.com/question/24756209.

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

Answer:

in 8 weeks they will each have 30 books

Step-by-step explanation:

Lacey:  y = 2x + 14

Rita:      y = x + 22

y = # weeks

x = # books

set equations equal to each other:

2x + 14 = x + 22

x + 14 = 22

x = 8

solve for 'y':

y = 8 + 22

y = 30

Answer: There are 22 adults , 12 children and 11 senior citizens on the tour bus.

Step-by-step explanation:

Let adult = x

children = y

senior citizen = z

Given : Total busload (x+ y + z) = 45

Total charge on day 1 = 558 $ = [tex]15\times x+8\times y+12\times z[/tex]

Total charge on day 2 = 771 $ =  [tex]20\times x+12\times y+17\times z[/tex]

Now we have 3 equations : x+ y+z =45

[tex]15\times x+8\times y+12\times z=558[/tex]

[tex]20\times x+12\times y+17\times z=771[/tex]

Solving for them we get: x= 22 , y = 12 and z= 11

Thus there are 22 adults , 12 children and 11 senior citizens.

Answer:

4 by 3

Explanation:

Rows by columns

Answer:

D

Step-by-step explanation:

Answer:

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Step-by-step explanation:

Let the sum invested at interest rate of 5% be X

Let the sum invested at interest rate of 3% be Y

As we know

[tex]X + Y = 15000[/tex] - Eq (1)

[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]

[tex]5X + 3Y = 62000[/tex] ---Eq (2)

Multiplying Eq (1) by 3 we get -

[tex]3X + 3Y = 45000[/tex]

Substract Eq (1) from Eq (2) we get

[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Answer:

[tex]f(-4) = 64[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (1,2)[/tex]

[tex](x_2,y_2) = (2,1)[/tex]

Required

Find f(-4)

We have that:

[tex]y = ab^x[/tex]

For [tex](x_1,y_1) = (1,2)[/tex]

[tex]2 = ab^1[/tex]

[tex]2 = ab[/tex]

For [tex](x_2,y_2) = (2,1)[/tex]

[tex]1 = ab^2[/tex]

Rewrite as:

[tex]1 = ab * b[/tex]

Make b the subject

[tex]b = \frac{1}{ab}[/tex]

Substitute: [tex]2 = ab[/tex]

[tex]b = \frac{1}{2}[/tex]

Substitute [tex]b = \frac{1}{2}[/tex] in [tex]2 = ab[/tex]

[tex]2 = a * \frac{1}{2}[/tex]

[tex]a = 2 * 2[/tex]

[tex]a = 4[/tex]

To calculate f(-4), we have:

[tex]f(x) = ab^x[/tex]

[tex]f(-4) = 4 * \frac{1}{2}^{(-4)}[/tex]

[tex]f(-4) = 4 * 16[/tex]

[tex]f(-4) = 64[/tex]

Answer:the width is 3 feet

Step-by-step explanation:

s = 4

h = 3

C = ?

C = s(3h + 5)

C = 4(3·3 + 5)

C = 4(9 + 5)

C = 4(14)

C = ?

ANSWER: It costs 56 dollars

Answer:

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

Step-by-step explanation:

To prove that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides :

Assume:  б(Δ ABC ) =  б(Δ DEF ) and also AB ≅ DE

let Π ABB'A' and DEE'D' be taken as the saccheri quadrilaterals that corresponds to Δ ABC and Δ DEF  respectively

Following the Lemma above; б(Π ABB'A' ) = б( Π DEE'D' ) given that

AB = summit of ABB'A' and DE = summit of DEE'D'  also  AB ≅ DE

According to theorem 7.5

Π ABB'A' ≅ Π DEE'D'  

therefore by transitivity of equivalence  it is proven that triangle ABC and triangle DEF are triangles with equal defects and a pair of congruent sides

9514 1404 393

Answer:

  (a)  f(x) = √x -2

Step-by-step explanation:

The square root function has no horizontal shift, so the expression under the radical is simply x with no added terms. There is only one such answer choice, which also shows the necessary translation downward by an added negative constant.

  [tex]f(x)=\sqrt{x}-2[/tex]

Answer:

the answer is A.

Step-by-step explanation:

:))))))

Use the shell method. The volume is

V = 2π ∫₅⁸ (x - 5) x ² dx

V = 2π ∫₅⁸ (x ³ - 5x ²) dx

V = 2π (1/4 x ⁴ - 5/3 x ³) |₅⁸

V = π/6 (3x ⁴ - 20x ³) |₅⁸

V = π/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))

V = 891π/2