The volume of cone is 37,680 cubic inch.
What is volume?Space is used by every three-dimensional object. This space is estimated concerning its volume. The volume of an object in three-dimensional space is the amount of space it occupies within its boundaries. The capacity of the object is another name for it.
An object's volume can help us figure out how much water is needed to fill it, like how much water is needed to fill a bottle, aquarium, or water tank.
Given radius of cone = r = 30 inch
slant height = l = 50 inch
volume of cone = V = 1/3πr²h
relation between height, radius, and slant height is given by
l² = h² + r²
where l = slant height, h = height and r = radius
h = [tex]\sqrt{l^{2} - r^{2} }[/tex]
h = [tex]\sqrt{50^{2} - 30^{2} }[/tex]
h = √1600 = 40 inch
V = 1/3πr²h = 1/3π × (30)² × 40
V = (3.14 × 900 × 40)/3
V = 37,680 cubic inch
Hence the volume is 37,680 cubic inch.
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According to the empirical rule, for a distribution that is symmetrical and bell-shaped (in particular, for a normal distribution) approximately how much of the data values will lie within two standard deviations on each side of the mean?
The difference between a number and 12 is 20
([solve by writing an equation])
A pair of jeans costs 75% as much as a pair of corduroy pants. what is the cost of each if the total cost for the jeans and cords is $42?
I know the answer is Jeans: $18 and Cords: $24 but how do I write that in an equation to solve??
thank you!!!
10 POINTS!!!!! Which of the following statements is true about 63 and 20?
a.) They are relatively prime.
b.) They have more than one common factor.
c.) They each have a factor of 4.
d.) They are both prime numbers.
WILL GIVE BRAINLIEST PLEASE PLEASE PLEASE HELP ASAP!!
If <1 and <2 form a linear pair, m<1 = 100 + 20x, and m<2 = 20x, find
m<1 .
a.
2°
b.
40°
c.
140°
d.
180°
The janitor found that it was leaking at a rate of 13 fl oz per minute How fast was the pipe leaking in gallons per hour?
PLZ I NEED HELP ASAP
Annie has a compost pile that produces 12 pounds of compost a day from yard waste. Which function expresses the amount of compost (c) as a function of the number of days (d)? The function representing the relationship between the amount of compost and the number of days is__, with the input as__.
Answer: number of days: c=f(d) =12d
Imput:12
Step-by-step explanation:
Someone pls help!? I don't get it
Divide (x^5+15x^4+54x^3-25x^2-75x-42) by x+8
Please show all work
Bilal is sharing candy with 6 of his friends. He has 5 over 6 of a bag of candy left after he takes what he wants. What fraction of candy will each of his friends get if he shares equally with them?
_____ of the bag
Jenny and Hanan are collecting clothes for a clothing drive. Hanan collected 1 half as many bags of clothes as Jenny did. If Jenny collected 3 over 4 of a bag of clothes, what portion of a bag of clothes did Hanan collect?
_____bags
In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the arc cut off by the angle?
Answer:
The length of segment joining the endpoints of the arc is [tex]8\ in[/tex]
Step-by-step explanation:
we know that
In the triangle ABC
see the attached figure to better understand the problem
[tex]AC=BC[/tex] -----> is the radius of the circle
[tex]m<CAB=m<CBA[/tex]
[tex]m<ACB=60\°[/tex] ----> given problem (central angle)
Initially the triangle ABC is an isosceles triangle
Remember that
the sum of the internal angles of triangle must be equal to [tex]180\°[/tex]
For this particular case, the isosceles triangle ABC becomes an equilateral triangle, as the three angles are equal to [tex]60\°[/tex]
The equilateral triangle has three equal sides and tree equal angles
so
[tex]AC=BC=AB[/tex]
Hence
The length of segment joining the endpoints of the arc is [tex]8\ in[/tex]
There are 50 jelly beans. if 7 of them are red, and 23 are black, what percentage of the jelly beans are not reed
Gabriella said a triangle with an angle of 98 degrees was an obtuse angle. Cynthia said a triangle with an angle of 98 degrees was an acute triangle. Who is right and why?
What is the taxi distance between A(2, 5) and B(7, 9)?
Which of the following values is the 25th percentile?lower quartile, median, upper quartile
Answer:
The value of 25th percentile equals:
lower quartile
Step-by-step explanation:
We have to find the value of the 25th percentile
25th percentile is equal to the lower quartile.
50th percentile is equal to the median.
and 75th percentile is equal to the upper quartile.
Hence, the value of 25th percentile equals:
lower quartile
Find the measure of each exterior angle of a regular polygon with 24 sides
The formula for finding the measure of each exterior angle of a regular polygon is similar to the formula for finding the measure of each interior angle. We take the sum of the measures of the exterior angles which is always 360 degrees and we divide this by the number of sides in the polygon which is n. So the formula for finding the measure of each exterior angle of a regular polygon is simply 360 over n. In this problem since the polygon has 24 sides, we simply plug a 24 in for n and we have 360 over 15. 360 divided by 24 is 15. Therefore, the measure of each exterior angle of a regular polygon that has 24 sides is 15 degrees.
A football team loses 3 yards on one play and 6 yards on another play. Write a sum of negative intergers to represent this situation. Find the sum and explain how it is related to the problem.
. If ON = 4x – 6, LM = 3x + 5, NM = x – 4, and OL = 4y – 3, find the values of x and y for which LMNO must be a parallelogram.
Choose the correct description of the graph of the compound inequality
2x + 5 > 9 and 5x less than or equal to 30.
A) A number line with an open circle on 2, shading to the left, and a closed circle on 6, shading to the right
B) A number line with an open circle on 2, a closed circle on 6, and shading in between
C) A number line with a closed circle on 2, shading to the left, and an open circle on 6, shading to the right
D) A number line with a closed circle on 2, an open circle on 6, and shading in between
Answer:
B) A number line with an open circle on 2, a closed circle on 6, and shading in between
Step-by-step explanation:
easy answer
Help me with this please!!!
do a ratio
11/2=X/24
24*11 = 264
264/2 = 132
X= 132
so 132 students
What is the radius of the circle defined by x^2+2x+y^2+6y-39=0?
Some facts about powers of ten are shown.
Use what you know about powers of ten to enter numbers that make the equation true.
Enter numbers to write 7.9×10^-6 in standard notation.
The number to write [tex]7.9\times 10^-6[/tex] in standard notation is 0.0000079.
Given that,
The number to write the given equation in standard notation.Based on the above information, the calculation is as follows:
[tex]= 7.9\times 10^-6 = 7.9 \times \frac{1}{1,000,000}[/tex]
= 0.0000079
Therefore we can conclude that the number to write [tex]7.9\times 10^-6[/tex] in standard notation is 0.0000079.
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Can someone help me plz!!!
Given tan A = .78 find angle A in degrees. Round your answer to the nearest hundredth.
Answer:
[tex]A\approx 37.95^{\circ}[/tex]
Step-by-step explanation:
We have been given that [tex]\text{tan}(A)=0.78[/tex]. We are asked to find measure of angle A in degrees.
We will inverse tangent to find measure of angle A as:
[tex]A=\text{tan}^{-1}(0.78)[/tex]
[tex]A=37.954230875133^{\circ}[/tex]
Upon rounding our answer to nearest hundredth, we will get:
[tex]A\approx 37.95^{\circ}[/tex]
Therefore, the measure of angle A is approximately 37.95 degrees.
A surveyor measures the angle of elevation to a point on a mountain to be 18 degrees the point on the mountain is horizontally 4 miles away from the surveyor the vertical change in elevation from the point where the surveyor is standing to the point on the mountain is___ miles?
Answer:
1.3 miles
Step-by-step explanation:
Solution:-
- The surveyor stands at a platform that is B = 4 miles and at an elevation of θ = 18 ° away from the point on the mountain.
- We can construct a right triangle from surveyor to the point of observation. To determine the change in height/elevation (H) we will apply the trigonometric relation as follows:
tan ( θ ) = H / B
- Solve for the elevation (H):
H = B*tan ( θ )
H = 4*tan ( 18 )
H = 1.3 miles
- The change in elevation from surveyor to point of observation is H = 1.3 miles.
The scale on a map is 1cm 7 km. if two cities are 12 cm apart on the map, what is the actual distance between the ctities
The pressure P exerted by a force varies inversely as the area A on which the force is applied. If 16 N/ft2 of pressure is exerted by a force on an area of 3 ft2 , what is the pressure exerted by the same force on an area of 6 ft2?
A) 8 N/ft2
B) 16 N/ft2
C) 4 N/ft2
D) 32 N/ft2
Answer:
A) 8 N/ft2
Step-by-step explanation:
Pressure is the normal force per unit area, that is, it is equivalent to the force acting on the surface unit, and is given by:
[tex]P=\frac{F}{A}[/tex]
Where:
[tex]P=Pressure\\F=Normal\hspace{3}force\\A=Area\hspace{3} where \hspace{3}force\hspace{3} is \hspace{3}applied.[/tex]
In the first case:
[tex]P=16N/ft^2\\A=3ft^2[/tex]
Using the previous equation and solving for [tex]F[/tex] :
[tex]F=P*A=16*3=48N[/tex]
Now, for the second case, since the force is the same applied in the first case, then:
[tex]P=\frac{F}{A} =\frac{48}{6} =8N/ft^2[/tex]
Therefore the answer is:
A) 8 N/ft2
what is f^-1(1)? inverse function
write the ordered pair that represents yz. then find the magnitude of yz. Y(-5,7), Z(-1,2)
Answer: the answer is D on edge
Step-by-step explanation:
A line with a slope of 3 passes through the point (2,5) what is the equation of this line?