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2 years ago

Find the volume of a right circular cone that has a height of 3.5 ft and a base

Mathematics

1 answer:

erma4kov [3.2K]2 years ago

8 0

Step-by-step explanation:

the volume of a cone is

base area × height / 3

and the case area is a circle, so we get

pi×r²×h/3

with e being the radius (half of the diameter), and h being the height.

therefore

pi×(11.9/2)²×3.5/3 = pi×(5.95)²×3.5/3 = 41.30291667... ft³

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There are 9 girls and 10 boys taking dance lessons. Write the ratio that compares the number of girls taking dance lessons to th

Tom [10]

Hey there!

9:19

This is because there are 19 total people taking dance lessons - 9 + 10 - and there are 9 girls taking dance lessons, so the ratio is girls to total students, or 9:19

Hope it helps and have a great day!

6 0

3 years ago

The motion of a ship riding at anchor can be modeled by y=25-4 cos (pi/6)t, where y is the water depth in feet and t is the time

balandron [24]

Answer: 29 feet (deepest) at 6 am

21 feet (shallowest) at Midnight & Noon

Step-by-step explanation:

y = -4 cos (π/6)t +25

Amplitude (A) = 4

-A means it is a reflection over the x-axis (starts at minimum)

Period = 2π/B → Period = 12

Phase shift = C/B → Phase Shift = 0

Midline (D) = 25

Midline (D) ± Amplitude (A) = Max & Min

Max: 25 + 4 = 29

Min: 25 - 4 = 21

Change the coordinates of y = cos (x) as follows:

x-value: Add C then divide by B
y-value: Multiply by A then add D

Note that the equation shows: A = -4, B = π/6, C = 0, D = 25

$\begin{array}{c|ccc|cl}\underline{\quad x\quad}&\underline{\quad y\quad}&&\underline{\quad (x+C)/B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&21&minimum\\\pi&0&&3&25&midline\\\pi &-1&&6&29&maximum\\3\pi/2&0&&9&25&midline\\2\pi&1&&12&21&minimum\\\end{array}$

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4 years ago

After allowing 20% discount on a marked price 13% VAT was levied on an article. If it was sold for 7232 dollars, what was the ma

katen-ka-za [31]

The marked price of the article was $7865

Answer:

solution given:

let marked price be x=?

discount =20%

vat=13%

selling price =$7232

we have

discount amount=discount % of marked price=20/100*x=0.2 x

and

vat amount = vat% of selling price=13/100*$7232=$940.16

we have

Selling price with tax =marked price - discount amount + vat amount

$7232=x-0.2x+$940.16

$7232-$940.16=x-0.2x

0.8x=$6291.84

x=$6291.84/0.8

x=$7864.8

5 0

2 years ago

What is the selling price of a table ticketed at $1,234 with a 22% discount? A. $962.52 B. $271.48 C. $926.25 D. $1,000.00

vovangra [49]

1234 multiplied by 0.22(22%) equals 271.48.
1234-271.48=962.52(A)

6 0

3 years ago

Read 2 more answers

Solve the system of linear equations by substitution.

lapo4ka [179]

2x+5=3x-1
+1 +1
2x+6=3x
-2x -2x
x=5

y=2(6)+5
y= 12+5
y=17

(5,17)

3 0

3 years ago