The height of a prism with equilateral triangular base is 25 cm. If the perimeter of the base of the prism is 18 cm, find the vo
1 answer:
Answer:
450
Step-by-step explanation:
The volume of prism is Base times the height.
The Base you count from surface area. The formula is a*b/2. The a is 18/3, because you have the equilateral triangle. So you count 6*6/2 and get 18 square cm.
After that you just multiply 18 and 25 and get 450
I hope this is right
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Answer:
1774.67π mm³
Step-by-step explanation:
Please find attached to this question, the required diagram.
From the question, we are told we have a spherical mold.
We would find the volume of a spherical mold using the formula for the volume of a sphere.
The volume of a sphere is calculated as : 4/3πr³
From the attached diagram, we are given the Diameter do the spherical mold as: 22mm
Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm
The volume of the spherical mold = 4/3 × π × 11³
= 1774.6666667π mm³
Approximately and leaving it in terms of pi (π)= 1774.67π mm³
Answer:
The Exponential function is
And the polynomial function is
And, we have to find the value of x for which, exponential function exceeds the polynomial function which can be written as
1. When , x= -1
LHS
RHS
2. When , x=0
L HS
RHS
3. When ,x= 0.5
L HS
RHS
4. When , x=2
LHS
RHS
The Minimum value for which exponential function exceeds the polynomial function is , x= 0.5
But,there is other value for which exponential function exceeds the polynomial function is , x=2.
Answer:
The number of students Jasmine surveyed indicated they would be traveling during the holiday break is 9.
Step-by-step explanation:
The spinner created by Jasmine, to predict whether a randomly selected student in her school will be traveling during the upcoming holiday break, has 8 equal sections labeled:
{yes, yes, no, no, no, no, no, no}
So, there are two sections labeled yes and six labelled as no.
Compute the probability of a yes as follows:
Jasmine selected <em>n</em> = 36 students in her gym class.
If a student in her school will be traveling during the upcoming holiday break is independent of the other students.
Let the random variable <em>X</em> be defined as the number f students that will be traveling during the upcoming holiday break.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 36 and <em>p</em> = 0.25.
Compute the expected value of <em>X</em> as follows:
Thus, the number of students Jasmine surveyed indicated they would be traveling during the holiday break is 9.