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3 years ago

Please !!!!!! Help me

Mathematics

1 answer:

PtichkaEL [24]3 years ago

5 0

Answer:

a. 1 b. 3/5 or 60%

Step-by-step explanation:

number of favourable events/number of total events

3x/5x = 3/5

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A central angle of a circle measures 1.5 radians. If the radius of the circle is 3 cm, what is the area of the related sector?

soldi70 [24.7K]

Answer:

Option B. $6.75\ cm^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

we have

$r=3\ cm$

substitute

$A=\pi (3^{2})=9 \pi\ cm^{2}$

Remember that

$2\pi$ radians subtends the complete circle of area $9 \pi\ cm^{2}$

by proportion

Find the area of the related sector for a central angle of $1.5$ radians

Let

x------> the area of the related sector

$\frac{9 \pi}{2\pi}\frac{cm^{2}}{radians} =\frac{x}{1.5}\frac{cm^{2}}{radians}\\ \\x=9*1.5/2\\ \\x= 6.75\ cm^{2}$

7 0

3 years ago

Two families are shopping for a camping trip. The first family buys 3 flashlights and 4 sleeping bags at a cost of $118. The sec

Sliva [168]

Answer:

3x +4y = 118

5x+6y =180

y= $25

Step-by-step explanation:

Let x = the cost of a flashlight

Let y = the cost of a sleeping bag

3x +4y = 118

5x+6y =180

Multiply the first equation by -5

-5(3x +4y) = -5*118

-15x -20y = -590

Multiply the second equation by 3

3(5x+6y) =3*180

15x + 18y = 540

Add the modified equations together.

We are using elimination to eliminate the variable x

-15x -20y = -590

15x + 18y = 540

----------------------------

-2y = -50

Divide by -2

-2y/-2 = -50/-2

y =25

Each sleeping bag costs $25

7 0

3 years ago

Read 2 more answers

To solve the equation x ^2 - 2x = 3 by the technique of completing the square, you would add 4 to each side of the equation as o

Karolina [17]

Answer:

x = -1

x = 3

Step-by-step explanation:

$\sf x^2 - 2x = 3$

Add 1 to both sides:

$\sf \implies x^2 - 2x+1 = 3+1$

Factor the left side:

$\sf \implies (x-1)^2 = 4$

Square root both sides:

$\sf \implies x-1 = \pm2$

Therefore:

$\sf \implies x-1=-2 \implies x=-1$

$\sf \implies x-1=2 \implies x=3$

6 0

2 years ago

Malique wants to take four of his friends to a movie. He knows it is $7.50 for

Stels [109]

Answer:

$16.25

Step-by-step explanation:

7.50

+7.50

36.50

then you have to do 3.25 *5=16.25

4 0

3 years ago

water flows into a tank 200m by 150m through a rectangular pipe 1.5m by 1.25m at 20kmph. in what time (in minutes) will the wate

DanielleElmas [232]

Answer:

Volume required in the tank (200 × 150 × 2)m3. therefore, required time= (6000/625)= 96 min.

3 0

3 years ago