Final answer:
To find the volume of a sphere with a radius of 5, plug the value into the formula V = (4/3)πr³. The result is approximately 523.6 cm³.
Explanation:
The question asks for the volume of a sphere with a given radius. The formula to calculate the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius of the sphere.
To find the volume of a sphere with radius 5, we substitute r with 5 in the formula:
V = (4/3)π(5)³
V = (4/3)π(125)
V = (4/3)π(125) = 500/3π cm³
The volume of a sphere with radius 5 is therefore 500/3π cubic centimeters, which is approximately 523.6 cm³ when rounded to one decimal place.
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.
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.
Divide (x^5+15x^4+54x^3-25x^2-75x-42) by x+8
Please show all work
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
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.
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.
Learn more: brainly.com/question/7508826
A line with a slope of 3 passes through the point (2,5) what is the equation of this line?
How many kilometers can the prius travel on 16 liters of gasoline?
Prius can travel up to 4.23 × x kilometers on 16 liters of gasoline.
It is given that Prius runs on gasoline.
We have to find out that how many kilometers it can run if amount of gasoline is 16 liters.
What will be the value of 16 times of a number x ?
The value will be ; 16 × x .
No. of kilometers Prius travels depends on what is the model of Prius . Also quality of roads makes a difference.
∵ 1 liter = 0.264172 gallons
⇒ 16 liters = 16 × 0.264172 = 4.23 gallons
Let's say a Prius travels x kilometers per gallon.
So ; on 16 liters of gasoline , Prius will travel ;
x × 4.23 = 4.23 × x kilometers
Thus , Prius can travel up to 4.23 × x kilometers on 16 liters of gasoline.
To learn more about algebraic expressions click here ;
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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]
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?
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
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 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?
The difference between a number and 12 is 20
What is the taxi distance between A(2, 5) and B(7, 9)?
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:
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:
what number increased by 80% is 90?
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
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
There are 50 jelly beans. if 7 of them are red, and 23 are black, what percentage of the jelly beans are not reed
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?
Can someone help me plz!!!
([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!!!
what is f^-1(1)? inverse function
What is the radius of the circle defined by x^2+2x+y^2+6y-39=0?
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°
Someone pls help!? I don't get it
Help me with this please!!!
do a ratio
11/2=X/24
24*11 = 264
264/2 = 132
X= 132
so 132 students