What units could you use to measure the height of a hexagonal prism?cm
cm 2
cm 3
cm 4

Answers

Answer 1

Answer:

Answer: A. cm

Step-by-step explanation: The formula for the volume of a hexagonal prism is, volume = [(3√3)/2]a2h cubic units where a is the base length and h is the height of the prism. We can also use the other formula V = 3abh, where a = apothem length, b = length of a side of the base, and h = height of the prism.

Answer 2

Answer: no aswer for that question

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In a right triangle, angle C measures 40. the hypotenuse of the triangle is 10 inches long. what is the approximate length of the side adjacent to angle C

Answers

Since angle C is not 90 degrees, it's one of the acute angles
in the right triangle.

   (The side adjacent to angle C ) divided by (hypotenuse)

is the cosine of angle C .

(adjacent) / (10 inches) = cos(40 degrees)

Multiply each side by (10 inches):

      Adjacent side = (10 inches) x cos(40) =

(10 inches) x 0.766 =

7.66 inches (rounded)

The approximate length of the side adjacent to angle $C$ is $\boxed{{\mathbf{7}}.7{\mathbf{ inches}}}$ .

Further explanation:

The trigonometry ratio used in the right angle triangles.

The cosine ratio can be written as,

$\cos \theta = (length\ of\ the\ side\ adjacent\ to\ \theta )/(hypotenuse)$

Here, base is the length of the side adjacent to angle $\theta$ and hypotenuse is the longest side of the right angle triangle where the length of side opposite to angle $\theta$ is perpendicular that is used in the sine ratio.

Step by step explanation:

Step 1:

The attached right angle triangle can be observed from the given information.

First define the hypotenuse and the base of the triangle.

The side $BC$ is adjacent to angle $C$ and the side $AC$ is the hypotenuse of $\Delta ABC$ .

Therefore, the ${\text{length of the side adjacent to C}}=BC$ and ${\text{hypotenuse}}=10$ .

Step 2:

Since, the cosine ratio is $\cos \theta = (length\ of\ the\ side\ adjacent\ to\ \theta )/(hypotenuse)$

Now put the value ${\text{length of the side adjacent to C}}=BC$ and ${\text{hypotenuse}}=10$ in the cosine ratio.

$\begin{aligned}\cos C&=\frac{{BC}}{{10}}\n{\text{co}}s40&=\frac{{BC}}{{10}}\n0.766&=\frac{{BC}}{{10}}\nBC&=7.66\n\end{aligned}$

Therefore, the approximate length of the side adjacent to angle $C$ is $7.66{\text{ inches}}$ .

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Trigonometry

Keywords: Distance, Pythagoras theorem, base, perpendicular, hypotenuse, right angle triangle, units, squares, sum, cosine ratio, adjacent side to angle, opposite side to angle.

a soccer tournament 12 teams are wearing red shirts, 6 teams are wearing blue shirts, 4 teams are wearing orange shirts, and 2 teams are wearing white shirts. for every 2 teams at the tournament, there is 1 team wearing shirt

Answers

when you add up 12, 6, 4 and 2 you get 24 team. Of the 24 teams, there are 12 teams (1/2 of all the teams) wearing red. This means that for every 2 teams, 1 team is wearing red

Convert speed of 15 miles per hour to feet per second

Answers

Solutions

1 mile = 1.46667

15 miles per hour = 22 feet per second

15 miles per hour = 22 feet per second

Which of the following are useful ways of finding the value of a variable? Check all that applyA.Writing an equation
B.Drawing a graph
C.Reading a table
D.Drawing a diagram

Answers

Writing an equation and Drawing a graph are two ways or useful ways of finding the value of the variable. These two are the basic ways of solving the given variable equation. In mathematical ways, this is the most useful ways.

Drawing a graph as it shows the change in variables.

Three scenarios are given in parts a through c below. For each scenario, determine the sampling method used by the managers. a) The managers select a single branch at random and survey every employee of that branch. A. The managers used a systematic sample. B. The managers used a multistage sample. C. The managers used a cluster sample. D. The managers used a stratified sample. E. The managers used a simple random sample. b) The managers use the company e-mail directory to contact every 3030th employee on the list. Choose the correct sampling method below. A. The managers used a cluster sample. B. The managers used a multistage sample. C. The managers used a stratified sample. D. The managers used a systematic sample. E. The managers used a simple random sample. c) The managers split the company into divisions, with each division containing employees that have similar jobs. Within each division, they select a SRS of employees to contact. Choose the correct sampling

Answers

Answer:

1. C. The managers used a cluster sample

2. B)The managers used a systematic sample.

3. The managers used a stratified sample.

Step-by-step explanation:

1. In a cluster sampling method, the population would be divided into several small units called cluster by the researcher. Within these clusters we randomly pick one or more to observe.

2. In systematic sampling we select elements from an ordered sampling frame.

3. In stratified sampling, the population is divided into several stratas and the researcher then selects randomly to complete the sampling process

PLEASE, PLEASE HELP!!! WILL MARK BRAINLIEST!!! Decompose the following single log statement into several log statements: Log (4x^2) /(3yz)

this reads the log of 4 times x squared, divided by (3 times y times z) the log statement applies to everything to the right.

Answers

Rewrite the original equation as:

Log(4x^2) - log(3yz)

Rewrite log(4x^2) as log(4) + log(x^2)

Rewrite log(4) as 2log(2)

Rewrite log(x^2) as 2log(x)

Separate log(3yz) into 3 logs: log(3), log(y) and log(z)

Now combine them to get:

2log(2) + 2log(x) - log(3) - log(y) - log(z)

Final answer:

The decomposition of the logarithmic expression Log((4 $x^2$ )/(3yz)) leads to the end result: Log(4) + Log( $x^2$ ) - Log(3) - Log(y) - Log(z). The given expression is separated into individual logarithms applying the logarithmic rules.

Explanation:

The decomposition of the logarithmic expression Log((4x2)/(3yz)) according to the laws of logarithms can be done as follows:

Using the rule that log(a/b) = log(a) - log(b), we can first split the expression into two parts: Log(4x2) - Log(3yz).

From there, we can apply the rule that log(ab) = log(a) + log(b) to split these further. So, Log(4x2) becomes Log(4) + Log(x2), and Log(3yz) becomes Log(3) + Log(y) + Log(z).

Finally, we substitute these back into the original expression to get the final decomposition: Log(4) + Log(x2) - Log(3) - Log(y) - Log(z).