Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:
[tex]V=\frac{1}{3}\pi r^{2}h[/tex]
They want the cones to hold the same volume of 9 cubic inches.
If height is 3:
[tex]9=\frac{1}{3}\pi r^{2}3[/tex]
[tex]\pi r^{2}=9[/tex]
[tex]r^{2}=2.864[/tex]
r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:
[tex]9=\frac{1}{3}\pi (2)^{2}h[/tex]
[tex]h=\frac{9(3)}{4 \pi}[/tex]
h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
Identify the coefficients in the expression -3h + 3 - 5 + h
Answer:
-3, and 1
Step-by-step explanation:
-3 is the coefficient of h 1 is the co efficient of h
Abigail and her children went into a bakery and she bought $11.25 worth of cupcakes and cookies. Each cupcake costs $3.75 and each cookie costs $0.75. She bought a total of 7 cupcakes and cookies altogether. Graphically solve a system of equations in order to determine the number of cupcakes, X, and the number of cookies, y, that Abigail bought.
Answer:
Number of cupcakes = 2
Number of cookies = 5
Step-by-step explanation:
Let [tex]x[/tex] denotes the number of cupcakes and [tex]y[/tex] denotes the number of cookies.
Abigail bought $11.25 worth of cupcakes and cookies such that each cupcake costs $3.75 and each cookie costs $0.75.
[tex]3.75x+0.75y=11.25[/tex]
At [tex]x=0;[/tex] [tex]0.75y=11.25[/tex]
[tex]y=\frac{11.25}{0.75} =15[/tex]
At [tex]y=0;3.75x=11.25[/tex]
[tex]x=\frac{11.25}{3.75}=3[/tex]
So, plot the points [tex](0,15)\,,\,(3,0)[/tex]
Also,
Abigail bought a total of 7 cupcakes and cookies altogether.
[tex]x+y=7[/tex]
At [tex]x=0;0+y=7[/tex]
[tex]y=7[/tex]
At [tex]y=0;x+0=7[/tex]
[tex]x=7[/tex]
So, plot points [tex](7,0)\,,\,(0,7)[/tex]
From the graph, solution is [tex](2,5)[/tex]
Number of cupcakes = 2
Number of cookies = 5
20 - x/3 = x/2 what if the solution? show work please
Answer:
x = 24
Step-by-step explanation:
[tex]20 - \frac{x}{3} = \frac{x}{2}[/tex]
[tex]40 - \frac{2x}{3} = x[/tex]
[tex]120 - 2x = 3x\\120 = 5x\\x = 120 /5\\x = 24[/tex]
n is an integer
write the values of n such that -15 < 3n < 6
Answer:
-4, -3, -2, -1, 0, 1, 2.
I hope you got your answer.
According to the picture you have attached, the question is:
-15 < 3n ≤ 6
Answer:
-4, -3, -2, -1, 0, 1, 2
What is the total cost of a $136 radio that has a 25% discount and sales tax is 5%?
PLEASE HELPPP
Answer: Price Before Tax: $102.00
Tax: $5.10
Final Price: $107.10
Original Price + Tax: $142.80
Total Savings: $35.70
Savings:
35.70
Tax:
5.10
Total Payment:
107.10
Step-by-step explanation:
Answer:
107.1
Step-by-step explanation:
136 × 25% = 34
136 - 34 = 102 (Price after the discount)
102 × 5% = 5.1
102 + 5.1 = 107.1 (Price after the discount and sales tax)
-4 = 6 - -2f
solve for f
Answer:
f= −5
Step-by-step explanation:
Can someone please help me! Thank youuuu!
Answer:
d
Step-by-step explanation:
The equation for compound interest is A=P(1+rn)nt, where P is the initial amount invested, r is the interest rate as a decimal, n is the number of times compounded annually, and t is the number of years.
Determine the value of the account if the initial investment is $8,000 compounded monthly at a rate of 6% after 10 years.
$14,555.17
$8409.12
$8480.00
$14,326.78
If you deposit $24,500 into a bank account paying 6% annual interest compounded
semi-annually for 5 years, how much interest will you earn? Round to the nearest cent.
Answer:
$7,719.33
Step-by-step explanation:
$24,500 x 0.06 = $1,470
($24,500 + $1,470) x 0.06 = $1,558.20
($24,500 + $1,558.20) x 0.06 = $1,563.49
($24,500 + $1,563.49) x 0.06 = $1,563.81
($24,500 + $1,563.81) x 0.06 = $1,563.83
$1,470 + $1,558.20 + $1,563.49 + $1,563.81 + $1,563.83 = $7,719.33
HELP PLS!!
Find the measure of each interior and exterior angle of a regular 40-gon.
Answer:
All exterior angles will add up to 360 degrees, regardless of the number of sides.
For the sum of the interior angles, use this formula:
The sum of the interior angles = (N x 180) - 360
Where N = the number of sides
So, (40 x 180) - 360 = 6840 degrees
The measure of each interior and exterior angle of a regular 40-gon are [tex]171^\circ[/tex] and [tex]9^\circ[/tex] respectively.
Important information:
The given shape is a regular 40-gon.Interior and exterior angles:Interior angle of a regular polygon is [tex]\dfrac{(n-2)\times 180^\circ}{n}[/tex], where n is the number of sides.
A regular 40-gon has 40 sides. So, the measure of each interior angle is:
[tex]\dfrac{(40-2)\times 180^\circ}{40}=38\times 4.5^\circ[/tex]
[tex]\dfrac{(40-2)\times 180^\circ}{40}=171^\circ[/tex]
Exterior angle of a regular polygon is [tex]\dfrac{360^\circ}{n}[/tex], where n is the number of sides.
A regular 40-gon has 40 sides. So, the measure of each exterior angle is:
[tex]\dfrac{360^\circ}{40}=9^\circ[/tex]
Therefore, the measure of each interior and exterior angle of a regular 40-gon are [tex]171^\circ[/tex] and [tex]9^\circ[/tex] respectively.
Find out more about 'Interior and exterior angles' here:
https://brainly.com/question/15716862
For school spirit day, 11.875% of your class wears orange shirts, 5/8 of your class wears blue shirts, 0.15625 of your class wears white shirts, and the rest of your class wears gold shirts. Order the portions of shirts of each color from least to greatest.
Answer:
Gold, Orange, White, Blue
Step-by-step explanation:
Orange: 11.875%
Blue: 62.5%
White: 15.625%
Gold: 10%
help asap solve the question indices
Please help I need real answers
Suppose you make coffee and it starts off just too hot to drink, so you put it in the refrigerator temporarily to cool it off. If the original temperature is 190 degrees Fahrenheit and the refrigerator is 36 degrees Fahrenheit, what will the temperature of the coffee be after 3 minutes? (k = 0.12)
Answer:
143.44 degrees
Step-by-step explanation:
T=36+(190-36)e^(-0.12*3)
Write an inequality for the following statement: Sharon earns at least 8 dollars (d) per baby-sitting job.
Answer:
d ≥8
Step-by-step explanation:
She is earning AT LEAST meaning that she gets at least more than 8 dollar per job
whoever answers right gets brainliest
Answer:
b)
Step-by-step explanation:
7*3 15 square feet
Im not 100% sure about this
Mr. Wade took his family on an 8-hour boat trip. During the trip, the boat used 48 gallons of gasoline. The boat used the same number of gallons each hour. At what rate did the boat use gasoline?
Answer:
6 gallons of gas an hour
Step-by-step explanation:
pls mark brainliest if correct
Answer:
6 gallons used per hour
Step-by-step explanation:
you would divide 48 by 8 because Mr. Wade used 48 after 8 hours.
What was the height of
the tree at time 0?
What was the rate of
growth (ft/yr)?
What is the equation for the growth of this tree?
What was the distance from home at time 0?
What was the rate if speed(mph)?
What is the equation for the distance from home?
Answer: i dont know lol i just need points
Step-by-step explanation:
help...!.!.!!.!.!.!.!.!!.!.!.!.!.!
Step-by-step explanation:
Perimeter means the sum of all the three side of triangle perimeter= x + x+ 5 + x +7 =3x +12
HURRY PLEASE WILL GIVE BRAINLIEST
Answer:
the volume is 57600pi, also simplified as 180,956 ft^3 to the nearest whole number
Step-by-step explanation:
hope it helps
In angle ABC the measure of Angle B is 13 more than the measure of Angle A and the measure of angle C is 9 less than twice the measure of angle A find the measure of each angle in ABC. only an algebraic will be accepted.
Answer:
its b
Step-by-step explanation:
its
At Gordon Middle School, 75% of the 800 students
participate in the music program. How many students
participate in the music program?
Answer:600 students
Step-by-step explanation:
Answer:
There are 600 students participating. The operation you have to carry out is 800 × .75 = 600.
Or you can simply divide 800÷4= 200. 3/4=200×3. The percentage of students is 3/4 that would be 600 students participating.
what is ( -5p )( -2p ) =
Answer:
10p
Step-by-step explanation:
have a good day :)
can someone help me find the side of a 30 60 90 triangle
Answer:
y = 7.5
x = 7.5√3
Step-by-step explanation:
sin(30) = 1/2
cos(30) = √3/2
Above is rule
==>
y = 7.5
x = 7.5√3
PLEASE HELP MEE
Find the slope of the following lines:
Answer:
(left to right top to bottom) -3/4, 4, 1/3, -2
Step-by-step explanation:
Calcula los angulos indicados en cada figura.
Answer:
Kos kosa para wlang hasol wlang kos kos sa balongosa
pls help reward brainiest
Answer:
(5, 2) & (-4, -9)
Step-by-step explanation:
Use the vertex form, y = a(x − h)² + k, to determine the values of a, h, and k
(h, k) = (5, 2)
(h, k) = (-4, -9)
good luck, i hope this helps :)
Answer:
(5,2) Answer for first question
(-4,-9) Answer for the second question
find The surface area of the cylinder. round your answer to the nearest tenth
Answer:
791.7
.......
........................
.
need HELP ASAP WITH THISSS!!
Answer:
b
Step-by-step explanation:
Answer:
corresponding angles..
Jess used
11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?
A- 30
B- 120
C-200
D-380
Answer:
30
Step-by-step explanation:
PLEASE HELP!!! Find the slope of the line that passes through the points (-1,7) and (0,-3).
Answer:
-10
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-7)/(0-(-1))
m=-10/(0+1)
m=-10/1
m=-10
Answer:
The slope is -10.
Step-by-step explanation:
Goal
Find the value of m/Find the slope.Given
Two coordinate points which are (-1,7) and (0,-3).Step 1
Use the slope formula which is rise over run also known as changes of y over changes of x.[tex] \large \boxed{m = \frac{y_2-y_1}{x_2-x_1} }[/tex]
From the given coordinate points, substitute the values in the formula.
[tex]m = \frac{7 - ( - 3)}{ - 1 - 0} \\ m = \frac{7 + 3}{ - 1} \longrightarrow \frac{10}{ -1} \\ m = - 10[/tex]
Therefore, the value of m or slope is -10.
