A pyramid has a volume of 1,944 inches cubed and a rectangular base with the dimensions 18 inches by 9 inches. What is the height of the pyramid? 4 in. 12 in. 24 in. 36 in.

Answer:

True

Step-by-step explanation:

To find true or false

Using the properties of logarithms, the left side of the given equation .logb b^2r=2r

, is equivalent to logb b^2r = 2x logb b

(use Power Rule)

=2x(1)

=2x

Hence, the given statement is a true statement.



Answer: 40

Step-by-step explanation:

480/20=960/x Cross multiply

19200=480x

x=40

Answer:

40 teachers are needed

Step-by-step explanation:

480 : 20 = 24 : 1

960/24 = 40

= 960:40

Answer:6

Step-by-step explanation:

Heron's Formula is: area = sqrt(s(s-a)(s-b)(s-c)) and s is the semiperimeter

Putting the side lengths in would be:

s = (a + b + c)/2

area = sqrt(6(6-5)(6-4)(6-3)) = sqrt(6*1*2*3) = 3*sqrt(2)

So the answer is 3*sqrt(2) which is equal to 6

Answer:

  6 units²

Step-by-step explanation:

You want the area of the 3-4-5 right triangle.

The area formula for a triangle is ...

  A = 1/2bh

where b represents the "base" and h represents the "height". The height is always measured to the vertex opposite the base, in direction perpendicular to the base.

The perpendicular legs of a right triangle have the necessary relationship for either one to be considered the "base", and the other to be the "height."

Here, that means we can call the side of length 3 units the "base" and the side of length 4 units the "height", or vice versa.

This means the area is ...

  A = 1/2(3 units)(4 units) = 6 units²

__

Additional comment

Heron's formula for the area of a triangle based on all three side lengths can be used for this, but is more work than necessary.

<95141404393>

48

1st seat 6 possible for each 6 only 1 possible(spouse) for seat 2

3rd seat 4 possible for each 4 only 1 possible(spouse) for seat 4

5th seat 2 possible for each 2 only 1 possible(spouse) for seat 6

6 x 4 x 2 = 48

OR 3 couples possible arrangements 3 x 2 x1 = 6

each couple 2 possible 2 x 2 x 2 = 8

therefore 6 x 8 = 48

It's pretty easy, take the example of this fraction... [tex]\frac{2}{4}[/tex]

What you do in here is that you note down the factors of 2 and 4 over here.

Factors of 2 and 4:

2 = 1, 2

4 = 1, 2, 4

Now, you see that the GREATEST Common Factor (GCF) over here is 2.

Now that we see the GCF of 2 and 4 is 2, what you do next is, you have to divide 2 by 2 AND 4. When you do this, you will get your results. 2 = 1 and 4 = 2, now put this in the fraction form again, meaning switch 2 with 1, and 4 with 2 in the fractions... [tex]\frac{1}{2}[/tex]

So your simplified fraction is [tex]\frac{1}2}[/tex]!

Answer:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.

You can simplify a fraction by dividing the top and bottom by the greatest number that will divide both numbers exactly. They must stay whole numbers.

Hopefully this picture helps explain :)

Answer:

D)140.19 in²

Step-by-step explanation:

its either -8 or 8 im not sure which good luck tho!

The mean of the scores is approximately 6.2. The correct answer is (C).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations. It can be referred to as the average of a specific set of data or the arithmetic mean.

To calculate the mean of the scores based on the given frequency table, we need to multiply each score by its corresponding frequency, sum up the results, and then divide by the total frequency.

Let's perform the calculations:

(1 x 1) + (2 x 1) + (3 x 3) + (4 x 1) + (5 x 4) + (6 x 5) + (7 x 6) + (8 x 5) + (9 x 3) + (10 x 1) = 167

1 + 2 + 9 + 4 + 20 + 30 + 42 + 40 + 27 + 10 = 185

The total frequency is 1 + 1 + 3 + 1 + 4 + 5 + 6 + 5 + 3 + 1 = 30

Now, we divide the sum (185) by the total frequency (30) to find the mean:

185 / 30 = 6.1667

Rounding this value to the nearest tenth, the mean of the scores is approximately 6.2.

Therefore, the answer is C) 6.2.

Learn more about Arithmetic means here:

brainly.com/question/13000783

#SPJ3

Answer:

I think the answer is A but it is hard to know because I don't know what the passage is about.

Answer:

7= 120 8= 175

Step-by-step explanation:

all you have to do is times the numbers

Answer: the answer to number 7  is 17  answer to number 8 is 24

Step-by-step explanation:

Use the pythagorean theorem

a^2  + b^2 = c^2

Step-by-step explanation:

Here x and 80° are supplementary angle so...

x + 80° = 180°

x = 180° - 80°

x = 100°

Answer: I think it should be about 150.5 square mm

Step-by-step explanation:

I just multiplied all the dimensions you wrote...

By the way if its wrong please tell me so I can learn.

Thanks!

Answer:

[tex]23=0.50r+22[/tex]

Step-by-step explanation:

y=total amount of money

b=cost of admission

m=cost per ride

r= amount of rides

How to solve:

Step 1: Set up the equation in [tex]y=mx+b[/tex] format.

[tex]23=22+0.50r[/tex]

Step 2: Subtract 22 from both sides of the equation.

[tex]23-22=22+0.50r-22[/tex]

Step 3: Divide both sides by 0.50

[tex]\frac{1}{0.50} =\frac{0.50r}{0.50}[/tex]

Step 4: You are left with your answer.

[tex]r=2[/tex]

Answer:

D. 270

Step-by-step explanation:

9 + 9 = 18

18 x 15 = 270

Answer:

270

Step-by-step explanation:

1. divide the bases into separate numbers and add them together. 18.

2. multiply by the height, which is the dotted line. The result is 270.

Answer:: c = 10h + 6

is that u in ur pf?

Step-by-step explanation:

Answer:

40 feet

Step-by-step explanation:

the diameter is just Rx2 (R being the radius)

Answer: The answer to 2, 6, 12, 16 is 9 and the answer to 5, 6, 12, 13 is 9

Step-by-step explanation: The mean of a set of numbers is another term for average. You add all of the numbers up like for example in the second set of numbers, 16+12+6+2 is equal to 36 and you then divide that sum by the amount of numbers you added which in this case is 4 so you get 36/4 which is equal to 9.

Mean of 2, 6, 12, 16 = (2 + 6 + 12 + 16) ÷ 4 = 36 ÷ 4 = 9

Mean of 5, 6, 12, 13 = (5 + 6 + 12 + 13) ÷ 4 = 36 ÷ 4 = 9

Data Set : {8, 2, 5, 0, 1, 9, 2, 5, 2}

Arrange in ascending order : {0, 1, 2, 2, 2, 5, 5, 8, 9}

Range = Last Term - First Term = 9 - 0 = 9 is the range

Mean = sum of terms/number of terms = 34/9 = 3.777... = 3.78 is mean

Mode = the most appearing integer in the set = 2 is the mode

Median = The integer at the middle of the set = 2 is the median

======================

Answer:

24 units³

Step-by-step explanation:

Formula:

Volume (V) = length (l) × width (w) × height (h)

V=3×4×2=24 units³

Answer:

the answer should be 24 units^3 because the formula for finding volume is V= lwh so we need to multiply 2 times 3 and 4 and when we do that we get an answer of 24 so a is the correct answer and have a great day.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2+2+2+3+3+4+5+7+8

=36

36/9

=4

Answer:

d≈24.49

Length 20

Width 10

Height 10

formula:

[tex]d= \sqrt{l^2+w^2+h^2} = \sqrt{20^2+10^2+10^2} = 24.4949[/tex]

Have a good day!

Answer:

Area, 199.5, Perimeter, 46.45

Step-by-step explanation:

1. Decompose it into 2 shapes; rectangle and triangle

2. Find the area of the triangle; 10cm×7.6cm=76×1/2=38

3. Find the area of the rectangle; 21.25cm×7.6cm=161.5

4. Add the products 38+161.5=199.5

Perimeter:

1. Decompose it into 2 shapes; rectangle and triangle

2. Find the perimeter of the triangle; 10cm+7.6cm=17.6

3. Find the perimeter of the rectangle; 21.25+7.6=28.85

4. Add the sums 17.6+28.85=46.45

Answer:

0.3412

Step-by-step explanation:

Please look at the photo for an explanation.

Answer: 24

Step-by-step explanation:

12x2= 24

8x3=24

Answer:

24

Notice a pattern, the products are both 24. This means that 8 and 12 share an LCD of 24.

Answer:

31.5 square inches

Step-by-step explanation:

7 x 1.5 = 10.5

2 x 1.5 = 3

10.5 x 3 = 31.5