A cone-shaped hole is drilled into a solid cube of metal as shown. If the cube has sides of length 7 cm, what is the volume of the metal after the hole is drilled? Let π ≈ 3.14 and round your answer to the nearest tenth.

Answer:

It is 52 degrees

Step-by-step explanation:

In a rhombus each diagonal bisects a pair of opposite angles.

Angle JKN is half of angle JKL

Angle JKN = 52°

Answer:

its b

Step-by-step explanation:

I just did the assignment

Final answer:

The expression x^3 - 9 is indeed a polynomial because it consists of a variable raised to a non-negative integer exponent and a constant. The highest power of the variable is 3, which makes the degree of the polynomial also 3.

Explanation:

To determine whether the expression x^3 - 9 is a polynomial and to state its degree, we need to look at the characteristics of polynomials. A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

The expression in question, x^3 - 9, fits this definition because it involves a single variable x raised to a non-negative integer exponent (3), and a constant term (-9).

Next, to identify the degree of the polynomial, we look for the highest power of the variable in the expression. The highest power of x in x^3 - 9 is 3. Therefore, this expression is indeed a polynomial, and its degree is 3.

The correct answer to the question is: a. yes, 3.

Answer:

It's actually this

Step-by-step explanation

(told it to convert to rectangular form)

The complex number 5/2(cos 150° + i sin 150°), in the form a + bi, can be written as -(5√3)/4 +i(5/4).

Complex numbers are used to define imaginary numbers, that is, the square roots of negative numbers. √-1 is represented as i.

In the question, we are given a complex number 5/2(cos 150° + i sin 150°), and are asked to represent it in the form a + bi.

We know that complex numbers can be written in two forms, a + bi or r(cos θ + i sin θ).

The relation between these are:

r² = a² + b²,

a = r cos θ, b = r sin θ,

tan θ = b/a.

So, comparing 5/2(cos 150° + i sin 150°), to r(cos θ + i sin θ), we can say that r = 5/2, and θ = 150°.

Therefore, a = r cos θ = (5/2) cos 150° = (5/2) (-cos 30°) = -(5√3)/4

b = r sin θ = (5/2) sin 150° = (5/2) sin 30° = 5/4.

Therefore, the complex number 5/2(cos 150° + i sin 150°), in the form a + bi, can be written as -(5√3)/4 +i(5/4).

Learn more about complex numbers at

https://brainly.com/question/10662770

#SPJ2

Using the empirical rule for normal distributions, approximately 68% of the data falls within one standard deviation of the mean. Therefore, in a group of 20 bags of pet food with a normal distribution, about 14 bags are expected to be within one standard deviation from the mean.

The question involves the concept of a normal distribution in statistics, and specifically, how it applies to the weights of bags of pet food. Given that the bags have a mean weight of 50 lb and a standard deviation of 0.2 lb, we can use the empirical rule (68-95-99.7 rule) for normal distributions. This rule states that approximately 68% of the data in a normal distribution falls within one standard deviation of the mean.

In this scenario, we have a group of 20 bags of pet food. To find out how many bags we would expect to fall within one standard deviation from the mean, we would calculate 68% of 20:

Expected number of bags within one standard deviation = 0.68 × 20 = 13.6

Rounding to the nearest whole number, we can expect about 14 bags to fall within one standard deviation from the mean.

The rate of Glenn in finishing a job would be equivalent to:

Rate (G) = 1 job / 20 minutes

While the rate of Veronika is:

Rate (V) = 1 job / x                 ---> x is the unknown

Where 1 job for Glenn means completely cleaning his room while 1 job for Veronika means pulling out everything. Therefore the equation to use would be:

1 / 20 – 1 / x = 1 / 60

The rate of Veronika is subtracted from the rate of Glenn since Veronika is slowing Glenn down. Solving for x:

Multiply both sides by 60 x

(1 / 20 – 1 / x = 1 / 60) * 60 x

3 x – 60 = x

2 x = 60

x = 30

Therefore it takes 30 minutes for Veronika to pull everything out.

I will give you the simple version, if it takes 30 min for the brother to clean and the sister takes 20 minites to mess it up before he cleaned, then the sister messed the room up for 30 min because 30x2= 60.

The example of conditional probability is Probability of getting an A on a test, given that you didn't fail the test.

Conditional probability is known as the possibility of an event or outcome happening, based on the existence of a previous event or outcome.

For Conditional probability, the event should be dependent events.

Also, the probability of an event and the condition is that the other event has already been occurred.

Here, in Probability of getting an A on a test, given that you didn't fail the test is  example of conditional probability because  " you didn't fail the test " already occurred and now find the probability of getting A.

Learn more about conditional probability here:

https://brainly.com/question/1523913

#SPJ5

Solution:

Drawn an equilateral triangle of side 2 inches.

One side is parallel to Bottom of page.

Then from the center of the right side draw two parallel lines an inch apart and an inch long.

Then drawn a line from the end of one of the parallel lines to the end of the other parallel line.

The Arrow is pointing in East of South or South of East and North of West or West of North Direction.

The smaller number is 1 and the larger number is 3.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Let the numbers be x and y.

The sum of two numbers is twice their difference.

(x + y) = 2(x -y)

The larger number is 2 more than twice the smaller.

That means,

y = x + 2.

Then,

(x + x + 2) = 2(x + 2 - x)

2x + 2 = 4

x = 1

And y = 3

Therefore, the numbers are 1 and 3.

To learn more about the linear equation;

https://brainly.com/question/29739212

#SPJ2

Answer:

Correct option is D.

Step-by-step explanation:

we have to choose the option for which number produces a rational number when added to 0.6

A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or finite(infinite then repeating). If they aren't, then these are called irrational numbers.

Let's try each of the choices:

A. The term 0.5050050005... is irrational number. Now, when 0.6  is added to it, the sum would be irrational.

B. √2 is an irrational number because its exact value is 1.4142135.. Even if you add 0.3 to it, the answer would still be irrational

C. Obviously, π is an irrational number and addition of rational to irrational always results in irrational.

D. The term [tex]\frac{5}{7}[/tex] is a rational number. Now, when 0.6 or [tex]\frac{6}{10}[/tex] is added to it, the sum would be [tex]\frac{92}{70}[/tex] This is a rational number.

Therefore, the answer is D.

volume of cylinder = pi x r^2 x height

 using 3.14 for pi

volume = 3.14 x 12^2 x 30 = 13564.8 cubic feet

 D is the correct answer