Answer:
The volume of the right circular cone is approximately 17.9 m³
Step-by-step explanation:
The given parameters of the cone are;
Height = 17 m
Circumference of the base, C = 6.3 m
The circumference, C, of a circle is given by the formula, C = 2×π×r
Therefore, we have;
C = 6.3 m = 2×π×r
r = 6.3/(2 × π) ≈ 1.002676
The volume, V, of a cone is given by the following formula;
[tex]V = \dfrac{1}{3} \times \pi \times r^2 \times h[/tex]
Where;
r = The radius of the base ≈ 1.002676
h = The height of the cone = 17 m
[tex]V = \dfrac{1}{3} \times \pi \times 1.002676^2 \times 17[/tex]
V = 1/3 × π × (1.002676 m)² × 17 m ≈ 17.89776 m³ which by rounding up to one decimal place is 17.9 m³
The volume of the right circular cone, V ≈ 17.9 m³.
A bus leaves a station traveling north at 70 kilometers per hour. Half an hour later a
second bus leaves the same station traveling north at 80 kilometers per hour. How far
from the station will the buses meet?
Answer:
280 km
Step-by-step explanation:
Given that a bus, say [tex]b_1[/tex], leaves a station traveling north at speed of 70km/hour.
Half an hour later the second bus, say [tex]b_2[/tex], leaves a station traveling north at speed of 70km/hour.
As, distance = speed x time,
so, the distance traveled by bus [tex]b_1[/tex] in 0.5 hours = 70 x 0.5 = 35 km.
Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.
Let the second bus took [tex]t[/tex] hours to meet the first bus and both the buses meet at a distance of [tex]d[/tex] km from the station.
The distance traveled by the first bus from the station, [tex]d = 35 + 70t[/tex] km
[tex]\Rightarroe t= \frac {d-35}{70}\cdots(i)[/tex]
and the distance traveled by the second bus, [tex]d = 80t[/tex] km
[tex]\Rightarrow t=\frac {d}{80}\cdots(ii)[/tex]
Now, equation the equation (i) and (ii), we have
[tex]\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km[/tex]
Hence, both the bus will meet at a distance of 280 km from the station.
The number of sweets s that each friend gets is the number of sweets in a box n divided by the number of friends f the sweets are shared between. Enter a formula for the number of sweets each friend gets and enter the number of sweets each friend gets if there are 60 sweets and 12 friends.
Answer:
The number of sweets each friend gets = 5
Step-by-step explanation:
The number of sweets s that each friend gets = the number of sweets in a box n ÷ number of friends f the sweets are shared between
s = n ÷ f
s = n/ f
if there are 60 sweets and 12 friends.
That is,
n = 60 sweets
f = 12 friends
Find s,
s = n/ f
= 60 / 12
= 5
s = 5 sweets
The number of sweets each friend gets = 5
a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?
Ashley has $200 in a savings account that earns 4% interest per year. Which is closest to the amount that will be in her account after 5 years if no withdrawals or deposits
Answer:
Ashley will save $240.
Step-by-step explanation:
First we convert 4% into a decimal, 0.04.
The formula for solving for interest is A = P(1 + rt).
$200(1 + 0.04 × 5) = $240
This interest is $40, and our full amount is $240.
Answer:
Ashley will save $240.
Step-by-step explanation:
First we convert 4% into a decimal, 0.04.
The formula for solving for interest is A = P(1 + rt).
$200(1 + 0.04 × 5) = $240
This interest is $40, and our full amount is $240.
How much greater is the perimeter of a square with an area of 144 square meters than the perimeter of a square with a side length of 9 meters?
Answer:
12 meters
Step-by-step explanation:
Area of square = 144 Sq m
[tex]side \: of \: square = \sqrt{144} \\side \: of \: square = 12 \: m \\ \\ perimeter \: of \: square \: \\ = 4 \times 12 \\ = 48 \: m \\ \\ perimeter \: of \: square \: with \: \\ side \: 9 \: m \\ = 4 \times 9 \\ = 36 \: m \\ \\ diference \: in \: perimeters \\ = 48 - 36 = 12 \: m[/tex]
In an acute triangle, the measures of two angles are 50° and 60°. What is the measure of the third angle?
Answer:
70 degrees
Step-by-step explanation:
The measure of all angles in a triangle are 180 always
1. Add 50 + 60 = 110
2. 180 - 110 = 70
Hope that helps dude
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet. What is the smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool? Explain or show your reasoning.
Answer:
2
Step-by-step explanation:
the area of the radius 30 is 2827 and since 1 bucket can cover 1800 we will only need 2 buckets because we need a total of 2827 and 1 bucket covers 1800 so 2 buckets will cover 3600.
The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2 and this can be determined by using the unitary method.
Given :
A painter needs to paint the bottom of a circular pool. The pool has a radius of 30 feet. A store sells 5-gallon cans of paint.A store sells 5-gallon cans of paint. One gallon of paint covers 300 square feet.First, find the value of the area of the bottom of the pool. And it can be determined by using the below formula:
[tex]\rm Area = \pi r^2[/tex]
Area = 2827.43 square feet
Now, if one gallon of paint covers 300 square feet then 2837.43 square feet area covers by:
[tex]=\dfrac{2827.44}{300}\times 1[/tex]
= 9.43 gallons of paint
So, to cover the whole bottom area of the pool with paint then the amount of paint required is 9.43 gallons.
Now, if one can contain 5 gallons of paint then 9.43 gallons of paint is contained by :
[tex]=\dfrac{9.43}{5}[/tex]
= 1.886 [tex]\approx[/tex] 2
The smallest number of 5-gallon cans the painter must buy to cover the bottom of the pool is 2.
For more information, refer to the link given below:
https://brainly.com/question/23368125
2 to the -3 power over 2 to the -2 multiply 2 to the 6 power.
Step-by-step explanation:
Please gimme brainliest
I hope it's correct
Cuál sería la respuesta a esto? La señora María obtuvo un préstamo de 5 millones otorgado por un banco, para devolver el préstamo pagará un interés del 3% anual durante 3 años ¿ Qué proceso se debe realizar para saber cuántos guaraníes de interés pagará por el préstamo?
Answer:
La señora María debe pagar 463.635 guaraníes por concepto de intereses,
Step-by-step explanation:
Se recomienda utilizar el modelo de interés compuesto puesto que la tasa de interés es constante y periódico, dado que se conoce el monto a pedir prestado, la tasa de interés y el número de anualidades, se obtiene el monto final. La cantidad de dinero a pagar es la diferencia entre ese resultado y el monto a ser prestado.
El modelo de interés compuesto es representado por la siguiente fórmula:
[tex]C(t) =C_{o}\cdot (1+r)^{t}[/tex] (1)
Donde:
[tex]C_{o}[/tex] - Cantidad de dinero a prestar, medida en guaraníes.
[tex]r[/tex] - Razón de interés interanual, adimensional.
[tex]t[/tex] - Anualidad, medida en años.
[tex]C(t)[/tex] - Cantidad de dinero asociada a la anualidad actual, medida en guaraníes.
Si sabemos que [tex]C_{o} = 5.000.000[/tex], [tex]r = 0.03[/tex] y [tex]t = 3[/tex], entonces la cantidad de dinero asociada al término del período de préstamo es:
[tex]C(3) = 5.000.000\cdot (1+0.03)^{3}[/tex]
[tex]C(3) = 5.463.635[/tex]
Finalmente, la cantidad de dinero a pagar por concepto de intereses es:
[tex]\Delta C = 5.463.635-5.000.000[/tex]
[tex]\Delta C = 463.635[/tex]
La señora María debe pagar 463.635 guaraníes por concepto de intereses,
please help! i’ll give brainliest! thank u!
Answer:
Negative with little correlation
It has negative slope if you imagine a line
I need help on this question
Answer:
175.4379
Step-by-step explanation:
Hope this helps. :)
One-half of a cake is divided equally among 4 people at a party. What
fraction of the cake
Answer:
1/8
Step-by-step explanation:
One half of the cake is four slices, and the entire cake (if it was all there) would be 8 slices. For the four slices to be distributed equally among the four people, each person gets 1 slice. 1 slice out of the 8 total in the cake would be 1/8 of the whole.
Answer:
Each person will get 1/8 of the whole cake but 1/4 of half of the cake.
Step-by-step explanation:
Since the cake is cut in half and then in fourths, you need to multiply 1/4 by 1/2 and get 1/8.
Examine the diagram, and answer the question.
The points A(2,7)
and B(−4,−3)
are located in the coordinate plane as shown.
Points A and B are shown in the coordinate plane at the locations indicated.
© 2016 StrongMind. Created using GeoGebra.
What is the approximate distance between the two points?
15.6
7.3
6.7
11.7
9514 1404 393
Answer:
11.7
Step-by-step explanation:
GeoGebra can not only draw the picture, it can answer the question. The approximate distance between the points is about 11.7 units.
__
The distance formula is used for this:
d = √((x1 -x1)² +(y2 -y1)²)
d = √((-4-2)² +(-3-7)²) = √(36 +100)
d = √136 ≈ 11.7
_____
Once you find that the distance is about √136, you know it is more than 11 (11² = 121) and less than 12 (12² = 144). The only answer choice that makes any sense is 11.7.
Which expression is equal to the expression below?
(7•2)^7
A. 7^7 + 2^7
B. 7^7 • 2^7
C. 7 • (7•2)
D. 9^7
Answer:
c
Step-by-step explanation:
2 x (3^3-5+8) pemdas
Answer:
60
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define Expression
2 × (3³ - 5 + 8)
Step 2: Evaluate
[Parenthesis] Exponents: 2 × (27 - 5 + 8)[Parenthesis] Subtract: 2 × (22 + 8)[Parenthesis] Add: 2 × 30Multiplication: 60Find the unit rate.
625 revolutions in 223 seconds
The unit rate is revolutions per second.
Answer:
2.80 revolutions / second to the nearest hundredth.
Step-by-step explanation:
625/223
= 2.803.
Write the product, and then write the expression in standard form by removing parentheses and combining like terms.
Justify each step.
A. The multiplicative inverse of 1/5 and (2x - 1/5)
Please help!!!
Step-by-step explanation:
please see it my steps to work this problem
Answer:
IG it is 2
Step-by-step explanation:
ur acc got something hahhah
Annual cost of insurance: $3,570. Employer pays 70 percent. 12 pay periods. Find the cost per pay period.
The diameter of a cookie is 2 inches. If IT = 3.14, what is the area of the cookie, rounded to the nearest tenth?
A
39.4 in.2
B
9.9 in.2
с
3.1 in.?
D
6.3 in.2
Christine purchased a prepaid phone card for $20. Long distance calls cost 18 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $15.68, how many minutes did her call last?
Answer:
4 minutes and 32 seconds
Step-by-step explanation:
card $20.00-money left over $15.68 $20.00-$15.68 4.32
PLEASE HELP, WILL GIVE BRAINLIEST!!
The length between points on a map is 3 inches, 7 inches, and 10 inches. If the scale is one inch equals 25 miles, what are the distances in miles? 3 inches is miles 7 inches is miles 10 inches is miles
9514 1404 393
Answer:
3 inches ⇒ 75 miles7 inches ⇒ 175 miles10 inches ⇒ 250 milesStep-by-step explanation:
Each inch is 25 miles, so the number of miles is 25 times the number of inches.
3 in ⇒ (3×25 mi) = 75 mi
7 in ⇒ (7×25 mi) = 175 mi
10 in ⇒ (10×25 mi) = 250 mi
What is the area of rectangle WXYZ?
A. 4 square units
B. 7.5 square units
C. 10 square units
D.15 square units
what does 49 + 2y equal when you means 24?
Answer:97
Step-by-step explanation:
Answer:
97
Step-by-step explanation:
if y = 24, then 2y = 24 * 2
24*2 = 48
48 + 49 = 97
Hope this helps! :)
Elaine and Kasmir share a $2500 prize in the ratio 3:2. How much money should they each receive?
Alex earn 12% Commission on any of her monthly sales over $5,000 for sales for May were $6,750 how much commission did Alex earn
Answer:
you're question is complicated
Step-by-step explanation:
Answer:
u
Step-by-step explanation:
hb
16. If 3x2 = 2y = 12, what is the value of x2y
What is the mean absolute deviation of the following set of data 4 6 2 8
Answer:
srry i really need points
Step-by-step explanation:
solve for x
3(x - 2) = 6x - 12
Answer:
The answer is 2
Step-by-step explanation:
Here's how I got it:
3(x - 2) = 6x - 12
Multiply 3 times x and 3 times 2, this is what you would get
3x - 6 = 6x - 12
Then, subtract the lowest x with the bigger X, this way you would have x on one side:
3x - 6 = 6x - 12
-3x -3x
This is what you should have after this:
-6 = 3x - 12
Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:
-6 = 3x - 12
+12 +12
You would get this:
6 = 3x
Finally, you have to get x by itself, so you have to divide 3 on both sides like this
6/3 = 3/3 x
That's why, your answer is 2
Write an equation for the following problem.
The cost of a babysitting service on a cruise is $10 for the first hour and $12 for each additional hour. If the total cost of
babysitting baby Aaron was $58, how many hours was Aaron at the sitter?
12x+10=58
10x+12=58
12x-58=10
10x+58=12
Answer: Aaron was at the sitter for 5 hours
Step-by-step explanation:
12x + 10 = 58
the 12x is for each hour after the first hour and the 10 is the first hour
-10 from each side
12x = 48
/12
x = 4
4 additional hours plus the original hour