Answer:
32 solid balls are formed.
Step-by-step explanation:
Let suppose that volume of the cone is equal to the total volume of balls, of which we derive the following formula:
[tex]\frac{1}{3}\cdot \pi\cdot R^{2}\cdot h = \frac{1}{6}\cdot \pi \cdot n \cdot D^{3}[/tex] (1)
Where:
[tex]R[/tex] - Radius of the base of cone, measured in centimeters.
[tex]h[/tex] - Height of cone, measured in centimeters.
[tex]D[/tex] - Diameter of sphere, measured in centimeters.
[tex]n[/tex] - Number of balls, no unit.
Then, we clear the number of balls:
[tex]2\cdot R^{2}\cdot h = n\cdot D^{3}[/tex]
[tex]n = \frac{2\cdot R^{2}\cdot h}{D^{3}}[/tex]
If we know that [tex]R = 12\,cm[/tex], [tex]h = 24\,cm[/tex] and [tex]D = 6\,cm[/tex], then the number of balls is:
[tex]n = \frac{2\cdot (12\,cm)^{2}\cdot (24\,cm)}{(6\,cm)^{3}}[/tex]
[tex]n = 32[/tex]
32 solid balls are formed.
laurague here is your answer:)
Can you help me please?
Answer:
yes
Step-by-step explanation:
you can use the vertical line test- for every line going up and down there should only be one point. if there is one and only one, it's a function. if there are more than one per line, then it is not a function.
density of the cube is 9.86 g/cm³ and the volume is 150cm³ work out the mass in kg
Mass= Density *Volume
9.86 g/cm3 *150 cm3 =1479g
1479 g to kilograms
1479g= x
1000g = 1 kg
x = 1479 g / 1000 x = 1.479 kg.
Plssss help meee I need help
Answer:
no
Step-by-step explanation:
[tex]29^{2} \neq 20^{2} + 26^{2}[/tex]
1. 6x + 2y = -12
4x + 3y = 7
2. 4x - y = 26
5x - 4y = 8
3. 5x + 3y = 13
17x + 8y = -16
using elimination to solve each system of equations
Answer:
J71763eua8w8w8us
Nakshatra w
Nskd8w8
I2991992
Simplify 5a – (2a + 6)
Answer:
Step-by-step explanation:
Add '-2a' to each side of the equation.
5a + -2a = -6 + 2a + -2a
Combine like terms: 5a + -2a = 3a
3a = -6 + 2a + -2a
Combine like terms: 2a + -2a = 0
3a = -6 + 0
3a = -6
Divide each side by '3'.
a = -2
Simplifying
a = -2
5a -2a -6
3a -6
Step-by-step explanation:
..........................
What is the answer to (a²)(a⁵)(a⁷)
Answer:
The answer would be a^70
Step-by-step explanation:
Hope this helped!! If it is wrong please tell me and I will re-check my answer. :)
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 136.
The diagram says x+4 on the top and x on the side
please help me solve this thanks
Answer: 4x+8<120
x<28
Step-by-step explanation:
As per the statement in the question, the inequality will be 4x + 8 < 136.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the instructions given in the question,
The length (l) of the rectangle = x+4
The width (w) of the rectangle = x
As per the formula of the perimeter, P:
P = 2 (l + w) (i)
Put the values in (i)
P = 2 (x + 4 + x)
P = 2x + 8 + 2x
P = 4x + 8
Then the inequality as per the statement in the question will be,
4x + 8 < 136.
To know more about inequality:
https://brainly.com/question/28823603
#SPJ2
Evaluate 2x when x = 4
COULD SOMEONE HELPP
Paul invests £150 in a bank account paying 2% interest per annum for 10 years. Work out how much money he has in the account at the end of the 10 years
Answer: £180
Step-by-step explanation:
The interest gotten for the 10 years will be calculated as:
= Principal × Rate × Time
= 150 × 2% × 10
= 150 × 0.02 × 10
= 30
The amount he has in the bank account at the end of the 10 year will be:
= Principal + Interest
= £150 + £30
= £180
This block of ice needs to be wrapped in a special reflective material to keep it from melting before the ice carving competition begins. How much reflective material is needed to cover the block completely, with any overlaps?
Question 5 options:
3.1 m2
1.144 m2
3.67 m2
6.7 m2
help i need help i really really need help no cap
Theo earned £15400 last year and spent 6% of his money on making home improvements. Find how much money Theo spent on home improvements last year.
Give your answer to the nearest penny.
Answer:
15400 ÷ 6/100
Step-by-step explanation:
next step do yourself
I hope it will help you
Help I need this now
Answer:
There is no question showing up so I dont know how to help u
Step-by-step explanation:
Solve for x
x = ____
30
45
22.5
Answer:
45
Step-by-step explanation:
x+3x+90=180
4x=180
X=45
A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by f (t) = -16t^2 + 96t. In how many seconds will the rocket be at a height of 128 ft above the ground?
Answer:
t = 2 s and t = 4 s
Step-by-step explanation:
A ball is projected upward from ground level. After t seconds, it’s height in feet is a function defined by,
[tex]f (t) = -16t^2 + 96t[/tex]
We need to find in how many seconds will the rocket be at a height of 128 ft above the ground.
It means,
[tex]128= -16t^2 + 96t\\\\-16t^2+96t-128=0\\\\16(-t^2+6t-8)=0\\\\(-t^2+6t-8)=0\\\\-t^2+4t+2t-8=0\\\\t(-t+4)-2(-t+4)=0\\\\(t-2)=0\ and\ (-t+4)=0\\\\t=2\ and\ t=4[/tex]
So, it will be at a height of 128 feet at 2 second and 4 second.
You are building a door frame. The two sides are parallel and the top and bottom are also parallel. Which additional statement(s) give enough information to conclude that the door frame forms a rectangle?
Answer:
you would take away the bottom
Step-by-step explanation:
which of the following is NOT a monomial?
a. x-4
b. 22xy
c. 3
d. -11x
A cinema has 300 seats. 60% are filled. How many are empty? i will give brainliest
Answer:
120 seats
Step-by-step explanation:
Total seats in the hall = 300
Percentage of filled seats = 60 %
Number of seats filled = (60 / 100) 300
= 60 * 3
= 180
Therefore, number of empty seats = 300 - 180
= 120
Hope it helps :)
Please mark my answer as the brainliest
Help meh- im d u m b
Answer:
[A] 0Explanation:
Lines of symmetry; A line that cuts a shape exactly in halfIf you were to put a line of symmetry down and fold the shape in half on that line, both halves would match exactly.
If you were to put a line of symmetry down on this triangle both sides would not match, therefore there are no lines of symmetry.There are zero lines of symmetry, therefore your answer is [A] 0answer this question
Write a story that could represent this math problem.
Can you solve the equation?
Answer:
x=3 and 9
Step-by-step explanation:
; x-3=0
x=3 (change side change mark)
and
[tex] \frac{2}{3} x - 6 = 0[/tex]
[tex] \frac{2}{3} x = 6[/tex]
[tex]x = 6 \times \frac{3}{2} [/tex]
change side change mark.
So, x=9
If u wanna check the answer you can check by substitution x=3 and 9 in equation.
hope it helps you ☺️
What is the area of the shaded region?
26 km
35 km
Answer:35/2=17.5*26= ?
Step-by-step explanation:
Y=4-2x 3y-2x=4 solve using substitution
Answer:
x=1 y=2
Step-by-step explanation:
y=4-2x 3y=4+2x
3*(4-2x)=4+2x
12-6x=4+2x
12-4=2x+6x
8x=8
x=1
y=4-2*1
y=2
14 is whatpercent of 25
Answer: the answer is 56
Hope this Help
Step-by-step explanation:
100%= 25
X%= 14
100%=25(1)
X% = 14(2)
100%/x% = 25/14
X%/ 100% = 14/25
X=56%
3) In June a gallon of gasoline cost $2.75. In July the price increased to
$2.92. What is the percent of increase of a gallon of gasoline from June to
July? Round to the nearest tenth.
Answer:
6.2%
Step-by-step explanation:
Hard to explain, but easy. Take your new value, and subtract your initial (starting) value from the new value. In this case, it would be 2.95-2.75= 17. You now can take you difference (17) and divide it by the initial value, so 17/2.75. This gives you 6.181818182. Round to 6.2%
Help please!! Help me with this triangle
Answer:60°
Step-by-step explanation: First, think about the rule of the degrees for all triangles. Angles must equal 180°.
Second, because all angles must equal 180°, see that the triangle given has equal sides (assuming this, because no other measurements are given).
Equilateral triangles have equal angles, meaning 60° for each angle.
Mary has a container filled with 20 ounces of cereal. Each day she eats 4.5 ounces
of cereal.
• Write an expression to represent the amount of cereal left after x days.
Answer:quin hill from ms Henry math class?!?!?!?! Why are you on brainly.....
Step-by-step explanation:3.1
The average cost for a gallon of gasoline in 2006 was $2.45. In 2007, the average cost of a gallon of gasoline was $3.29. What is the approximate percent of change in the cost of a gallon of gasoline?
A. 25%
B. 35%
C. 75%
D. 135%
Answer:B
Step-by-step explanation:
2.45(0.35)= 0.8575+2.45= 3.30
