Mathematics High School

Answer the two questions below. Show ALL of your work.
(a) John and Stan were building a sand castle. They decided to make it into a cone shape. After some time, the diameter of the sand shaped cone was 12 in and the height was 7in. What is the exact volume of the sand cone? (Show your work. Remember you can draw a picture to help you solve the problem.)
(b) The boys kept adding sand, and ten minutes later the volume of the sand cone had increased by 30%. What is the exact volume of the sand cone now? (Show your work. Remember you can draw a picture to help you solve the problem.)

Answers

Answer 1

Answer:

a. v = 263.89

b. v = 343.057

Step-by-step explanation:

a. πr²·h/3

b. 263.89 · 1.3 = 343.057

good luck, i hope this helps :)

Answer 2

Answer:

Step-by-step explanation:Answer:

a. v = 263.89

b. v = 343.057

Step-by-step explanation:

a. πr²·h/3

b. 263.89 · 1.3 = 343.057

good luck, i hope this helps :)Answer:

Related Questions

A ball is thrown into the air with an upward velocity of 44 ft/s. It’s height h in feet after t seconds is given by the function h=-16t^2 +44t+5. How long does it take the ball to reach its maximum height? What is the balls maximum height?

Answers

9514 1404 393

Answer:

1.375 seconds35.25 feet

Step-by-step explanation:

A quadratic function y=ax^2 +bx +c is symmetric about the vertical line x=-b/(2a). That is the x-coordinate of the vertex (maximum or minimum).

Here, we have ...

  h = -16t^2 +44t +5

  t = -44/(2(-16)) = 11/8 = 1.375

It takes 1.375 seconds for the ball to reach its maximum height.

The height at that time is ...

  h = (-16(11/8) +44)(11/8) +5 = (-22 +44)(11/8) +5 = 121/4 +5 = 141/4 = 35.25

The maximum height is 35.25 feet.

A fancy watch was originally priced at $50 but went on sale for 20% off. If Ernesto bought
the fancy watch and paid 15% sales tax, how much did he pay in total?

Answers

Answer:

$46

Step-by-step explanation:

7. The largest living thing on earth is a California sequoia tree named the “General Sherman”. The diameter of the tree at the base is 36 feet. Which measurement is closest to the circumference of the circular trunk in feet?

A. 56.52 feet
B. 4,069.44 feet
C. 1,017.36 feet
D. 113.04 feet

Answers

Answer:

Step-by-step explanation:

please helpp meeeeeeeeeeeeeeeeer








Answers

Answer:

sinA = 12/13, cosA = 5/13, tanA = 12/5

sinB = 5/13, cosB = 5/13, tanB = 5/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

Sin(A) = 12/13

Sin(B) = 5/13

Cos(A) = 5/13

Cos(B) = 12/13

Tan(A) = 12/5

Tan(B) = 5/12

Patrick usually drinks 90 ounces of water each day. On Saturday, he spent the day out on the boat so decided to drink 140 ounces of water. What is the percent increase

Answers

Answer:

5555.55556

Step-by-step explanation:

a% over 100 and 50 over 90

Mr. Armstrong went to Target to buy four pairs of dress socks. There was a 30% off sale
on the socks, and his total bill before tax was $14. What was the price of each pair of socks
before the sale?

Answers

Answer: $5

Step-by-step explanation:

We should note that since there was a 30% off sale, it means that he paid for 70% (100% - 30%) of the sales price.

Therefore, let the price of the socks be represented as x.

70% of x = 14

70/100 × x = 14

0.7 × x = 14

0.7x = 14

x = 14 / 0.7

x = 20

Therefore, the price of the socks was $20. Since there are 4 pairs, each pair will be:

= $20 / 4

= $5

what is 9a² + 42a - 49 factored​

Answers

Answer:2(21a+16)

Step-by-step explanation:

What is the surface area and volume ?

Answers

The surface area is 1000 and the volume is 49

EMERGENCY PLEASE HELP!!
Consider the functions represented by the graph and table shown below.

The rate of change of the function in the graph is _____ that of the function in the table by _____ unit(s)

Blank 1 options: less than, or greater than

Blank 2 options: 1, or 2

Answers

Answer:

24 61.

Step-by-step explanation:

hope it helps you.

6 pls literally. Begging

Answers

Answer:

180=144+3X

X=12

Step-by-step explanation:

angles must add to 180

180=45+80+3X+19

gather like terms

180=144+3X

subtract

36=3X

divide

X=12

Answer:

X = 12

All triangles add up to 180* so we first need to add the angles

45 + 80 = 125

180 - 125 = 55

We need to have x contribute to the angle being 55*

3 + 19 = 22

55 - 22 = 33

3 x 12 + 19 = 55

x = 12

Step-by-step explanation:

Help!
The slope of the line below is -3.

Answers

Answer:

D. y + 7 = -3(x - 5)

Step-by-step explanation:

Point-slope form: y - y₁ = m(x - x₁)

⇒ y - (-7) = -3(x - 5)

⇒ y + 7 = -3(x - 5)

Answer:

B. y + 7 = 3(x - 5).

Step-by-step explanation:

y -y1 = m(x - x1)

y - (-7) = 3(x - 5)

y + 7 = 3(x - 5).

Which of these is equivalent to x + 1 + x + 2 + x + 3 + x + 4?

Answers

Answer:

what are the options?

Answer:

x + 1 + x + 2+ x + 3 + x + 4

4x + 10

2( 2x + 5)

hope it helps

Simplify 3x + 4x + 5x

Answers

12x

Have a great day :)

The four highest scores on the floor exercise at a gymnastics meet were 9.575, 9.25, 9.325, and 9.6 points. Which is the highest of the four scores?

Answers

Answer:

9.6

Step-by-step explanation:

compare the ones, and then compare the tenths and we can see that 9.675 has the highest number in tenths and 9.25 has the lowest in tenths.

hope this helps! :)

“Use the graph or table to write a linear function that relates y to x”

Answers

Answer:

8)y=2x-3

9)y= -1/2+4

Step-by-step explanation:

The graph represents the profit on the sale of boxes of cookies. what does the slope represent?​

Answers

Answer:

The non-profit of the boxes

If x +y = 14 and x - y = 6, then the product of 2
and y is equal to which of the following?

Answers

Answer:

40

Step-by-step explanation:

x+y=14

x-y=6

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

x=-y+14

x-y=6

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

Substitute:

-y+14-y=6

-2y+14=6

-2y=-8

y=4

x=-y+14

x=-4+14

x=10

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

4•10=40

What is the measure of an angle that is the supplement of angle C?

Answers

Answer:

15

Step-by-step explanation:

Answer:

the measure of an angle that is the supplement of angle C=180-165=15

The cost of every college is expected to increase 3.5% next year.
The cost to attend Westish College is currently $18,000.
What is the expected cost to attend Westish College next year?
$

Answers

Answer:

prt

Step-by-step explanation:

18000(1.035)=18639

Answer:

18639

Step-by-step explanation:

i may be wrong tho

Plot three points on the graph of function f. f(x)=–3(x - 2)^2 + 1​

Answers

hope this helps if not i'm sorry

Answer:

Step-by-step explanation:

x | y

-4 | 13

-3 | 4

-2 | 1

-1 | 4

0 | 13

A Ferris Wheel has a radius of 16 feet. How far will you travel if you take a ride that goes around 5 times? Round answer to the nearest hundredth and for pi use π = 22 7 .

Answers

Answer:

502.85 feet

Step-by-step explanation:

Given that,

The radius of a Ferris wheel, r = 16 feet

We need to find how far will you travel if you take a ride that goes around 5 times.

Distance = 5×2πr

So,

= 10πr

[tex]=10\times \dfrac{22}{7}\times 16\\\\=502.85\ \text{feet}[/tex]

So, the required distance is 502.85 feet.

If 5 boys can eat 16 slices of pizza, then how many slices can 20 boys eat?

Answers

64 slices..............

A club’s first meeting was attended by 72 people. Six times as many people went to the first meeting than the second meeting. How many people attended the second meeting?

Answers

i am sorry because of me rong answer 120

Need help ASAP!! What is the value of x?

Answers

Answer:

98

Step-by-step explanation:

the exterior angle is equal to the sum of the opposite interior angles

-Sumin <3

Answer:

98

Step-by-step explanation:

53+45+x = 180

53+45=98

180-98=82

82 (interior)

82+98=180

x = 98

Five books and four pens cost $800. One book costs $120. How much does one pen cost?

Answers

The cost of each pen is $50, because you spend $600 on books leaving $200 to buy FOUR pens, making it $50 per pen

can 10,13,16 for a side length triangle?

Answers

Answer:

yeess

Step-by-step explanation:

A bag contains an assortment of marbles.
3 marbles are swirled
8 marbles are striped
2 marbles are spotted
A marble will be randomly selected from the bag. What is the probability that the marble selected will NOT be a striped marble?
F 5/13
G 1/8
H 5/8
J 8/13

Answers

Answer:

5/13

Step-by-step explanation:

because the total of marbles is 13

take away the striped ones and u get 5/13

what is seven squared as an exponetial expression

Answers

Answer:

7^2

Step-by-step explanation:

It is dinos birthday today. She is 9 years older than tyger. Altogether, their ages add up to 23 years. How old is dino?

Answers

Answer:

7

Step-by-step explanation:

Tyger = x

Dinos = x + 9

Total = 23

x + x+9 = 23

2x + 9 = 23

2x = 23 - 9

2x = 14

x = 14/2 = 7

I hope im right!!

Which pairs of expressions are equivalent

More the 1 answer

Answers

Answer:

The first 3 pairs of expressions are equivalent.

Step-by-step explanation:

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