Fig. A shows a paper cup in the shape of an inverted right circular cone. Its base radius is 4 cm and its slant height is 8.5 cm.

(a) Find the capacity of the paper cup.

(b) The paper cup is cut along PQ to form the sector in Fig. B. Find
(i) the area of the sector,
(ii) the angle of the sector.

(a)
Height of the cup
= [tex]\sqrt{ {8.5}^{2} - {4}^{2} }[/tex]
= 7.5 cm
The capacity of the cup
= [tex] \frac{1}{3} \times \pi \times {4}^{2} \times 7.5[/tex]
= 126 cm³ (cor. to 3 sig. fig.)

(b)(i)
The area of the sector
= [tex]\pi \times 4 \times 8.5[/tex]
= 107 cm² (cor. to 3 sig. fig.)

Can you help me for (b)(ii)?​

Answer:

10) min = 5

max = 225

IRQ = 60

That's all I got

sorry

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Solution is in the picture

Answer:

the volume of rectangular prism is 11 ft.

the volume of triangle prism is 7 ft.

Answer:

Option (a) is correct.

a = 15.68 and  b = 19.58

Step-by-step explanation:

Given: A triangle with some given measurements.

We have to find the values of a and b.

For a triangle ABC , with side opposite to angle A is a , side opposite to angle B is b and side opposite to angle C is c,

Using Sine rule , we have,

For the given Δ ABC,

∠A = 50° , ∠B = 107°

AB = c = 8 , AC = b and BC = a

Using angle sum property of triangle,

Sum of angles of a triangle is always 180°

So ,  ∠A + ∠B +∠C = 180°

Solving for ∠C , we get,

∠C = 180° - 107° - 50°

∠C = 23°

Substitute in Sine rule  , we have,

Consider first and last  ratios, we have,

Solving for a, we have,

We get , a = 15.68

Consider last two ratios, we have,

and now solving for b ,

We get , b = 19.58

Thus, option (a) is correct.

a = 15.68 and  b = 19.58

Answer:

the correct function is linear

Step-by-step explanation:

Answer:

55.4 ft/s

Step-by-step explanation:

The easiest way to do this is to plug it into a calculator. The problem tells us that x is an object that has fallen a certain amount of feet. Then, the problem gives us that the object has fallen 48 feet. We can now plug 48 in for x and you get 55.4

Answer:

x=4

Step-by-step explanation:

C+E=180

14x-8+132=180

14x=180-132+8

14x=56

x=4

Answer:

10°

Step-by-step explanation:

132° = (14x - 8)°

140° = 14x

× = 10°

Answer:

f(x^3-8)=x^6-19x^3+90

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

25 / 10 = 2.5

15 / 2.5 = 6

Answer:

-15

Step-by-step explanation:

0)(2)+(2)(0)−15

=−15

Answer:

1 and 3 are the only ones that have one solution. basically, when dealing with system of equations there can be one of three answers- one solution, infinitely many solutions, or no solution. Using elimination or substitution to solve each system of equation will give you the answer.

Step-by-step explanation:

i hope this helps :)

Answer:

7 Gallons and 6 pints !

Step-by-step explanation:

62 ÷ 8 = 7.75 gal.

0.75 gallons is 6 pints.

So, Its 7 gallons and 6 pints

Answer:

7 gallons 4 pints

Step-by-step explanation:

2 pints = 1 quart and 4 quarts = 1 gallon, and so 8 pints = 1 gallon

Write and solve an equation of proportions to answer this question:

 8 pints         1 gal

--------------- = -----------

62 pints            x

Cross-multiplying, we get 8x = 62, or 7 1/2.

That's 7 gallons 4 pints.

Answer:

7.02

Step-by-step explanation:

the answer is 7.02 because 0.78×9=7.02

Answer:

7.02

Step-by-step explanation:

cost of 1 bag = 0.78

cost of 9 bags = 9 × 0.78 = 7.02

Answer:

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ♡ ANSWER࿐ ♡ }} \mid}}[/tex]

Total number of apples = 200

Apples you gave to your friend = 60

Apples left = ?

Apples left

[tex] = 200- 60 \\ = 140[/tex]

✏ You will have 140 apples left.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer: 140 apples

Step-by-step explanation:

If you start off with 200 apples, but then give 60 of them, you would subtract 60 from 200.

200 - 60 = 140

You would be left with 140 apples.

Answer:

A. 47 reams

Step-by-step explanation:

Total copies counted by the copier = 23,500 copies

Number of sheets in a ream = 500 sheets

How many reams of paper were used?

Number of reams of paper used = Total copies counted by the copier / Number of sheets in a ream

= 23,500 / 500

= 47

Number of reams of paper used = 47 reams

Answer:

it would be 18 in 1 minute

Answer:

The probability of getting exactly two tails = 1/4

All the values greater than 1/4

or 3/4

Step-by-step explanation:

In a flip of a coin the probability of getting a tail is 1/2. If this is denoted by p =1/2 then q= 1-p= 1-1/2= 1/2

and if we have number of trials n=2

Then the binomial distribution can be applied.

(p+q)ⁿ =(p+q)² = 2c0p⁰q2 + 2c1p¹q¹ + 2c2p²q⁰

We wish to find probability of flipping exactly two coins  given by 2c2p²q⁰

= 2c2 (1/2)²(1/2)⁰

= 1/4

So the probability of getting exactly two tails = 1/4

The probability greater than 1/4 can be  all the values from 2/4, 3/4 ------1

or it can be found by

1- 1/4 = 3/4

as the total probability is always equal to 1

Answer:

The answer is the letter D

Step-by-step explanation:

The sum of 2t and 2 could be written as:

[tex]a=2t+2[/tex]

Now, the twice of the cube of s will be:

[tex]b=2s^{3}[/tex]

Finally, the quotient between a and b will be:

[tex]\frac{a}{b}=\frac{2t+2}{2s^{3}}[/tex]

Therefore the answer is the letter D

I hope it helps you!

Answer:

$18.35

Step-by-step explanati

Your Welcome

Answer:

B. 40

Step-by-step explanation:

It looks like a 90-degree angle so...

90 - 30 = 60

60 - 20 = 40

40 would be your final answer.

Answer:

(x+3, y+2)

Step-by-step explanation:

choose a letter: let's use points A and A'

A: (-3, 3)

A': (0, 5)

the rule would be (x+3, y+2) because (-3+3, 3+2) = (0,5)

Try it on another point:

B: (-4, 0)

B': (-4+3, 0+2) = (-1, 2) which checks out!

Answer:

15.9

Step-by-step explanation:

6^2 + x^2 = 17^2

36 + x2 = 289

x2 = 253

x= √ 253 = 15.9

Answer:

First option is correct answer that is arrow turning in right side.

You can follow me to get more answer.

Answer:

-12 and 8

Step-by-step explanation:

Answer:

8 and -12

Step-by-step explanation:

xy = -96

x+y = -4

x = -y-4 which is the same as

substitution method:

y(-y-4) = -96

-y² - 4y + 96 = 0

-(y² + 4y - 96) = 0

(y + 12)(y - 8) = 0

y = -12

y = 8

Answer:

D. 2/3

If 2/6 equals 1/3, then 1/3 + 1/3 = 2/3.

Answer:

4/6

Step-by-step explanation:

Make 1/3 into 6 as its denominator.

1 x 2 = 2

3 x 2 = 6

Black beans fill up 2/6 of the bag.

Red beans fill up 2/6 of the bag.

Find out what is the fraction both bags fill up altogether.

2/6 + 2/6 = 4/6

Answer:

Number of rolls to be purchased = 4

Step-by-step explanation:

Mr. Painter wants to install a carpet in the playroom having dimensions as 15 ft by 13 ft.

Area of the playroom's floor = Length × Width

                                               = 15 × 13

                                               = 195 square feet

∵  55 square feet of the floor is covered by number of rolls = 1

∴ 1 square feet area will require the number of rolls = [tex]\frac{1}{55}[/tex]

∴ 195 square feet will require the number of rolls = [tex]\frac{195}{55}[/tex]

                                                                                  = 3.55

Therefore, number of rolls to be purchased = 4                                                    

Answer:

6

Step-by-step explanation:

Answer:

9.8 * 10^-11

Step-by-step explanation:

The exponent will be negative as the number is less than 1.

After the decimal point there are 11 digits up to and including the 9.

Answer:i dont remember

Step-by-step explanation:

Answer:

Picture #1

Triangles ΔJKL and ΔXYZ have:

∠X is corresponding to ∠J, since they are different (90° vs 38°), the triangles can't be similar

Picture #2

Perimeter is the sum of the sides each has same ratio.

The ratio of the perimeters will be same as the ratio of each corresponding pair.

Correct choice is C. 3:5

Picture #3

Use ratios of corresponding sides:

Correct choice is B