Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^2 h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]
What does this mean?
Answer:
Plug in -3 as x
Step-by-step explanation:
f= -4(-3)+1
A home was sold in 2010 for $250,000. Its value
depreciated by 3.4% yearly. What is the value of the
house in 2012?
Depreciation formula: starting value x (1-rate)^time
250,000(1-0.034)^2 years
250000(0.996)^2= $233,289
The answer is $233,289
Answer:
$233,289
Step-by-step explanation:
250000 *.034=8500
250000-8500=241,500
repeat
What is the equation of the line that passes through the point (5, -7) and has a
slope of o?
Answer:
y = -7
Step-by-step explanation:
To find the y-intercept, you need to plug the coordinates into the equation.
y = 0x + b
-7 = 0(5) + b
-7 = b
Evaluate the expression. 3.14(7)² =
Answer:153.86
Step-by-step explanation:
What is the y-intercept of a line through (2, 7) and perpendicular to the
graph of y=-3/2x+6
Answer:
it is y=-3/2x+6 and then you subtract it by 2 and then add 7 and then u get 49
Step-by-step explanation:
probability help , not understanding
Answer:
70%
Step-by-step explanation:
June was thinking of a number, she halves it and gets an answer of 24.3. What was the original number?
The perimeter of an equilateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x. Equilateral means all sides are equal.
Answer:
Step-by-step explanation:
3*(4x - 3) = 63 Divide both sides by 3
4x - 3 = 63/3
4x - 3 = 21 Add 3 to both sides
4x = 21 + 3
4x = 24 Divide by 4 on both sides
4x/4 = 24/4
x = 6
Note: The perimeter is the sum of all three sides. One side is 4x - 3 All 3 sides must be 3*(4x - 3)
What is the domain and range of this function?
f(x) = logs(x - 2) + 1
OA.
domain: x > -2; range: all positive real numbers
OB.
domain: x> 2; range: all positive real numbers
OC. domain: x>-2; range: all real numbers
OD. domain: x> 2; range: all real numbers
Answer:
Domain = x > 2 , Range = {R}
Step-by-step explanation:
The given function to us is ,
[tex]\implies f(x) = log_{10} ( x - 2 ) + 1 [/tex]
Since logarithm are defined only for positive numbers therefore ,
=> (x - 2) > 0
=> x > 2
Therefore the domain of the function is x > 2 and it can have all positive real numbers .
Melissa has a total of $250 in her savigns account. She started with $110 and then earned the rest of her savings by babysitting. Melissa charges $7 per hour. Write an equation to represent the situation and determine the number of hours (h) she babysat last week.
Answer:
Number of hours= 20 hours
Step-by-step explanation:
Giving the following information:
Net savings (babysitting)= 250 - 110= $140
Rate per hour= $7
To calculate the number of hours that Melissa worked as a babysitter, we need to use the following formula:
Number of hours= net savings / rate per hour
Number of hours= 140 / 7
Number of hours= 20 hours
Will has a spinner with six equal sections numbered one through six. If Will spins the spinner 150 times, how many times can he expect to spin a number less than 5
Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144
Answer:
12285
Step-by-step explanation:
Clara drove 792 miles. Clara's car used 20 gallon of gas. How many miles per gallon did Clara's car get?
Answer: Not rounded: 39.6 Rounded: 40
Step-by-step explanation:
Of the tangent is 15/20 what’s the sine of the angle
Answer:
25
Step-by-step explanation:
NEED HELP W MY OTHER QUESTIONS! plsss
Answer:
x = 80 degrees
Step-by-step explanation:
help me plzz.im dying.
Answer:
B
Step-by-step explanation:
is this answer
Determine the measure of ∠DFB.
Question 6 options:
1) 67°
2) 69°
3) 68°
4) 136°
Answer:
136
Step-by-step explanation:
Just took the test and got it right good luck with the rest
A construction company can remove 8 1/4 metric tons of dirt from a construction site in 5 1/2 hours what is the unit rate in metric tons per hour?
Answer:
1 1/2 tons per hour
Step-by-step explanation:
8 1/4 ÷ 5 1/2
Anyone do you know
An after-school program offers tutoring for different subjects. During the last month, a teacher recorded the number of students who participated in tutoring for each subject, as shown in the table below:
Image description not available
Use this data to predict how many students of the next 100 students will participate in math tutoring.
Answer:
The image doesn't show
Step-by-step explanation:
The length of a rectangle is 4 times the width, w. Which expression represent the perimeter of the rectangle
Answer:
10w
Step-by-step explanation:
→ Work out the length
4 × w = 4w
→ State width
w
→ Find perimeter
4w + 4w + w + w = 10w
One shake and two beef burritos provide 3040 calories. Two shakes and one beef burrito provide 2840 calories. Find the caloric content of each item.
Answer:
Step-by-step explanation:
Let the shake be x and the burrito y
x + 2y = 3040 ---- (1)
2x + y = 2840 ---- (2)
Make x the subject of formula in equation (1)
x + 2y - 2y = 3040 - 2y
x = 3040 - 2y
Substitute x = 3040 - 2y for x in equation (2)
2(3040 - 2y) + y = 2840
6080 - 4y + y = 2840
6080 - 3y = 2840
Subtract 2840 from both sides of the equation and add 3y to both sides of the equation
6080 - 3y + 3y - 2840 = 2840 - 2840 + 3y
6080 - 2840 = 3y
3y = 3240
Divide both sides by the coefficient of x(which is 3)
[tex]\frac{3y}{3} = \frac{3240}{3}[/tex]
y = 1080
Substitute y = 1080 for y in equation (2)
2x + 1080 = 2840
2x = 2840 - 1080
2x = 1760
[tex]\frac{2x}{2} = \frac{1760}{2}[/tex]
x = 880
∴ The caloric content of one shake is 880 and for one burrito is 1080
Hope this helps
what is the average of these numbers
3, 5, 6
Answer:
4.66666666667.
Step-by-step explanation:
3+5+6=14, and 14 divided by 3 (the number of numbers given) is 4.66666666667.
Pls answer quick if you don’t mind.
Answer:
A
Step-by-step explanation:
if x=19, 19x3 =57 and 57+123=180 and straight angle = 180 so A
Answer:
X=19
Step-by-step explanation:
123 and 3x are supplementary/they equal 180 added together.
Let's solve your equation step-by-step.
123+3x=180
Step 1: Simplify both sides of the equation.
3x+123=180
Step 2: Subtract 123 from both sides.
3x+123−123=180−123
3x=57
Step 3: Divide both sides by 3.
3x/3 = 57/3
x=19
Have a splendid day.
PS. I like your bakugo profile picture.
Find the area of the figure.
Answer:
23.04
Step-by-step explanation:
A = a^2
A = 4.8^2
A = 23.04
Have a lovely day! <3
Given Triangle ABC with FC=5, you want to find BF. First, find the value that y must have for the Triangle Proportionality Theorem to apply. Then describe more than one way to find BF, and find BF. The y value for the Triangle Proportionality Theorem to apply is ______. To find BF, you can use the ______ Formula with the coordinates of B and F l, or you use the Trianglr Proportionality Theorem. BF=
Answer:
Part A
y = 8
Part B
We can find BF by either;
a) Through Pythagoras theorem to find the length of a side in a right triangle
b) The known rate of change of the length of the line FC with height
Step-by-step explanation:
Part A
The given parameters are;
FC = 5
We are to find BF
By the triangle proportionality theorem, we have;
FC:BF = EC:AE
From the given draining we have;
C(10, 2), F(7, 6), B(5.5, y), E(4, 2), A(1, 2)
Points A, E and C are have the same y-coordinate values, therefore, we have;
EC = 10 - 4 = 6
AE = 4 - 1 = 3
Therefore, we have;
5/BF = 6/3 = 2
BF = 5/2 = 2.5
Using the formula for finding the distance between two points, we have;
BF = √((5.5 - 7)² + (y - 6)²)
BF² = 2.5² = (5.5 - 7)² + (y - 6)²
6.25 = 2.25 + (y - 6)²
6.25 - 2.25 = 4 = (y - 6)²
√4 = √(y - 6)² = (y - 6)
±2 = y - 6
y = 6 + 2 = 8, or y = 6 - 2 = 4
Given that from the diagram, y > 6, we have y = 8
Part B
a) To find BF we can use the Pythagoras's theorem given that we know the coordinates of B and F as follows;
BF = √((5.5 - 7)² + (8 - 6)²) = 2.5
b) Given that BF is on the same straight line as FC, BF can be found through the rate of change of the y-values with the length of the line
We can also find BF by using proportion of increase in 'Δy' to the length of the line BFC as follows;
From point C to point F, Δy = 6 - 2 = 4 and the length of the line FC = 5
Therefore, from point B to point F, Δy = 8 - 6 = 2, ∴ BF = 2 × 5/4 = 2.5
HALP MEEEEEEEEEEEEEEEEEEEEE
Due In 5 min!!!!!!!!!!!!!!!!
SHOW FORMULA
James bought 12 cookies and ate 3 of them. He ate ____% of the cookies
Answer:
25%
Step-by-step explanation:
3/12=d/100
12×d=12d=3×100=300
12d÷12=d
300÷12=25
d=25
hope this helps
If y = -2x + 3, find y when x = -3
How do we check for proportionality in tables?
A Pick 2 pairs from the table
B Cross multiply
C Divide
D All of the above
HELPPPP HELPPP IM GOING TO FAILLL
Answer: A is the answer
Step-by-step explanation:
David uses 1/4 bag of potting soil to plant 6 tomato plants. If he uses the same amount of potting soil for each plant, what fraction of the bag of potting soil will each plant get?
1/24
24
2/3
1 1/2
Answer:
Step-by-step explanation:
A
