QUICK HURRY PLEASE Liam gave his friends a puzzle. He said he had two numbers that were not between -1 and 1. However, when the
numbers were multiplied, the result was always less than either of the numbers.
If Liam's puzzle is true, which of the following statements is true?

A- Both numbers must be positive

B- Both numbers must be negative

C- At least one number will be negative

D- One number will be positive, and one will be negative

Answer: [tex]-\dfrac{2\sqrt{14}}{9}[/tex]

Step-by-step explanation:

Given

[tex]\cos a=\dfrac{5}{9}[/tex]

[tex]a[/tex] lies in the fourth quadrant

So, sine must be negative in the fourth quadrant

Using identity [tex]\sin ^2 x+\cos^2 x=1[/tex] to find sine value

[tex]\Rightarrow \sin^2 a=1-\dfrac{5^2}{9^2}[/tex]

[tex]\\\\\Rightarrow \sin^2 a=1-\dfrac{25}{81}\\\\\\\Rightarrow \sin^2 a=\dfrac{56}{81}\\\\\\\Rightarrow \sin a=-\sqrt{\dfrac{56}{81}}\\\\\\\Rightarrow \sin a=-\dfrac{2\sqrt{14}}{9}[/tex]

Answer:

1.5

Step-by-step explanation:

The answers are given in the solution below.

A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.

Given is topics related to circle and its part we need to answer the question asked,

1) to 7) Given is a circle T,

a) Radius = TS, QT and RT all are the radius

b) Diameter = QS

c) Chord = PS

d) Central angle = ∠ RTQ

e) Minor arc = arc QR

f) Major arc = arc QSR

g) Semicircle = QPS

8) to 9) :-

a) Circle with radius 18 in :-

Circumference = 2π×radius = 2×3.14×18 = 113.04 in

Area = π·radius² = 3.14×18² = 1017.36 in²

b) Circle with diameter 25 m :-

Circumference = 2π×radius = 2×3.14×12.5 = 78.5 m

Area = π·radius² = 3.14×12.5² = 490.625 m²

10) The circle is having an area of 201.06 cm², we need to find the circumference and diameter,

Area = π·radius² = 201.06 cm²

radius² = 201.06 / 3.14

= 64

radius = 8 cm

Diameter = 16 cm

Circumference = 2π×radius = 2×3.14×8 = 50.24 cm

11) :-

Circle with radius P :-

The rule we will use here is :- arcs equal to central angle opposite to it, and full circle measures 360°

a) ∠ KPL = 90°

So, by linear pair sum, ∠ NPL = 90°

Now, by angle substitution law, ∠ NPM + ∠ MPL = 90°

∠ NPM = 27°

By using vertical angles rule, ∠ JPK = ∠ NPM = 27°

Therefore, arc JK = 27°

b) arc NJ = 180° - 27° = 153°

c) arc JL = 90°+27° = 117°

d) arc KNM = 360°-(90°+63°) = 207°

e) arc MJL = 360°-63° = 297°

f) arc JLK = 360°-27° = 333°

12) :-

arc CD + arc AD = 180°

Therefore,

19x-49°+5x+37° = 180°

24x-12 = 180°

24x = 192°

x = 8

Therefore,

arc CD = 5x+37 = 74°

13) :-

Length of an arc = central angle / 360° × 2π×radius

= 232° / 360° × 2 × 3.14 × 5 = 20.23 mm

14) :-

= 73° / 360° × 2 × 3.14 × 14.5 = 18.46 ft

Learn more about circles, click;

https://brainly.com/question/29142813

#SPJ2

Answer:

The answer would be 17

Step-by-step explanation:

The answer would be 17 because if you add 12 plus 5 That would be your answer

Answer:

3,266.53

Step-by-step explanation:

i looked it up :)

Answer:

AC = 11.4

Step-by-step explanation:

6/sin 23 = AC/sin 132

6 sin 132/sin 23 = AC

AC = 11.4

Answer:

x=12

Step-by-step explanation:

2x-8=16(add a to both sides)

2x=24(divide by 2)

x=12

Answer:

2/7

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

All the beans are equally likely to be chosen, so the bottom (denominator) of the fraction is 12 (there are 12 beans in the box).

The numerator is 5 because that's the number of red beans in the box.

Answer:

B. 24

Step-by-step explanation:

Formula for area of a rectangle: base × height/ length × width

To find the height, divide the area by the base.

[tex]96/4=24in[/tex]

[tex]formula=base *height/length*width[/tex]

[tex]4*24=96in^2[/tex]

Answer:

i believe your answer is C. Rectangle

Step-by-step explanation:

I hope this helps! :D

maybe consider brainliest?

Answer:

[tex]4(x+3)=4(x-3)[/tex]

It is equivalent to an equation that has the same variable terms but different constant terms on each side of the equal sign.

Answer:

The answer is still 15. Because

Step-by-step explanation:

2x + (x + 96) = 180

3x + 96 = 180

3x = 84

x = 28

Therefore,

angle 1 = 2x = 58°

angle 2 = x + 96 = 124°

Answer:

A linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

Answer: is a diagram which shows a connection or relation between two or more quantity.

Step-by-step explanation:

Answer:

The answer is r^10s^6/r-5s^9= r^10/r-^5 = r^15

Step-by-step explanation:

the answer is r^15

Answer:

49

Step-by-step explanation:

34 + 3 * 5

34 + 15

49

have a good day! :)

Answer:

49

Step-by-step explanation:

34+15

Answer:

if I had to guess I whould say i

7

because the answer is 7

Answer:

A. The scale factor is three.

B. Nine copies of ABCD could fit in A'B'C'D'.

Step-by-step explanation:

Hope this helps! Have a nice day! Let me know if you need an explanation!

Answer:

339.29

Step-by-step explanation:

Use formula for cylinder: [tex]V=\pi r^2h[/tex].

Note: I rounded to the nearest hundreth.

Step-by-step explanation:

y = -4x + 17

=> (4,1)

x=4 --> y = -4(4)+17=-16+17=1

(4,1) matched

=> (2,9)

x=2 --> y=-4(2)+17=-8+17=9

(2,9) matched

Answer:

24 I think..

Step-by-step explanation:

a^2 + b^2 = c^2

32^2 + b^2 = 40^2

b^2 = 1600 - 1024

b^2 = 576

b = 24

Answer:

13cm

Step-by-step explanation:

Let the given lengths be the opposte amd adjacent sides of a right triangle'

The missing side will be the hypotenuse

Using the pythagoras theorem;

hyp^2  = 5² + 12²

hyp² = 25 + 144

hyp² = 169

hyp =√169

hyp = 13cm

Hence the missing one is 13cm

Answer:

11.70

Step-by-step explanation:

d=√((16-5)^2+(14-10)^2)=11.7046999...

Answer: 384

Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.

Answer:

$3840

Step-by-step explanation:

10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price,                 3840-384=3456. So 3456 is the final price after including the 10% discount.

Answer:

The distance between them is 5km

Step-by-step explanation:

Given

[tex]Car\ A =4km[/tex]

[tex]Car\ B =3km[/tex]

Required

Distance between them

The scenario can be represented with the attached image

The distance between them is then calculated using Pythagoras theorem

[tex]d^2 = 4^2 +3^2[/tex]

[tex]d^2 = 16 +9[/tex]

[tex]d^2 = 25[/tex]

Take square roots of both sides

[tex]d = \sqrt{25[/tex]

[tex]d = 5[/tex]

Answer:

p because variables are shown by letters not numbers

Hope this helped:)

Step-by-step explanation:

Answer:

4.29

Step-by-step explanation:

Answer:

what line i swear if u tell me i can answer just comment

Step-by-step explanation:

Answer:

B) Experiment

Step-by-step explanation:

Answer:

Experiment

Step-by-step explanation:

PLATO

Step-by-step explanation:

I=?

P= $4500

R=8%=0.08

T=1 year

8%*0.01= 0.08

I=(4500)(0.08)(1)

(4500)(0.08)=360

360*1=360

The interest after one year is $360