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 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.
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
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)
HELPPPP HELPPP IM GOING TO FAILLL
Answer: A is the answer
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:
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
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
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
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.
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
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
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 .
Evaluate the expression. 3.14(7)² =
Answer:153.86
Step-by-step explanation:
What does this mean?
Answer:
Plug in -3 as x
Step-by-step explanation:
f= -4(-3)+1
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
probability help , not understanding
Answer:
70%
Step-by-step explanation:
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:
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
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:
help me plzz.im dying.
Answer:
B
Step-by-step explanation:
is this answer
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
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
Of the tangent is 15/20 what’s the sine of the angle
Answer:
25
Step-by-step explanation:
Find the sum of the following series. Round to the nearest hundredth if necessary.
3+6+12+...+6144
Answer:
12285
Step-by-step explanation:
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
NEED HELP W MY OTHER QUESTIONS! plsss
Answer:
x = 80 degrees
Step-by-step explanation:
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
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Due In 5 min!!!!!!!!!!!!!!!!
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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
June was thinking of a number, she halves it and gets an answer of 24.3. What was the original number?