What is the surface area?

Please select true or false (b^9)^3=b^27

slava [35]

True. exponents can be multiple if separated by brackets.

6 0

3 years ago

I don't Understand How to answer questions 8, 10, 11, and 12. I have already answered all the other questions on the paper. The

Alexxandr [17]

8) The figure is a heptagon. This means the sum of the interior angles would be 180(7-2) = 5 * 180 = 900. Then this means you can say that the sum of all angles would equal 900.

(133 + 106 + 120 + 133 + (13 - 9)) + (m + m + m) = 900
-------Combine Like terms----------
496 + 3m = 900
-------Subtraction------------
3m = 404
--------Division--------
m = 404/3

If the answer doesn't seem right, just plug it in!

496 + 3(404/3) = 900
496 + 404 = 900
900 = 900

10) Same thing. The sum of the interior angles in a pentagon are 540.

(122 + 90 + 88 + 96) + k = 540
396 + k = 540
k = 144

11) The angle supplementary to the angle which measures 138 is 42. The sum of all the interior angles of a quadrilateral is 360. Let us call the missing INTERIOR angle x.

(104 + 98 + 42) + x = 360
244 + x = 360
x = 116
So the missing EXTERIOR angle is 180 - 116 which is 64.

12 is a bit confusing without showing you sorry :(

4 0

3 years ago

PLS HELP!!!!

marta [7]

Answer:

2. simplifying multiplication property of equality

3. x - 2 = 8

5. x = 10 , addition property of equality

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation is $\frac{x-2}{4}=2$

- The value of x is 10

- We want to a statement reason to each step to complete the proof

* Lets write each step with statement reason

1. $\frac{x-2}{4}=2$ ⇒ Given

2. $4(\frac{x-2}{4})=4*2$ ⇒ simplifying multiplication property of equality

3. x - 2 = 8 ⇒ Simplifying

4. x - 2 + 2 = 8 + 2

5. x = 10 ⇒ addition property of equality

- In step 2 we multiply both sides by 4 to cancel the denominator of

the left hand side (simplifying multiplication property of equality)

- Then we simplify the two sides to get (x - 2 = 8)

- Then we add two to both sides to cancel -2 in the left hand side

- Then after adding we find (x = 10) , (addition property of equality)

* The answer is:

2. simplifying multiplication property of equality

3. x - 2 = 8

5. x = 10 , addition property of equality

5 0

3 years ago

On the Bologna-Rome route of a high-speed train, 3/4 of the reservations are with departure from Bologna, while the remainder ar

svlad2 [7]

Step-by-step explanation:

First, we consider the calculation towards finding the total number of passengers who had booked the train in Florence. The main question to ask in answering this problem is

$\text{``If 20 passengers that board the train from Florence correlates to only} \ \displaystyle\frac{2}{5} \\ \text{of the bookings from Florence, then what is the total number of passengers} \\ \text{that booked regardless if the passengers boarded the train or not?"}$

This statement can be phrase mathematically using the method of ratio and proportion as shown below

$\displaystyle\frac{2}{5} : 1 \ = \ 20:x$ ,

in which the variable $x$ is the total number of passengers who booked the train from Florence.

Now, rewriting the above ratio into the form of fractions, yields

$\displaystyle\frac{\displaystyle\frac{2}{5}}{1} \ = \ \displaystyle\frac{20}{x} \\ \\ \displaystyle\frac{2}{5} \ = \ \displaystyle\frac{20}{x} \\ \\ x \ = \ \displaystyle\frac{20}{\frac{2}{5}} \\ \\ x \ = \ 20 \ \times \ \displaystyle\frac{5}{2} \\ \\ x \ = \ 50$

Given that a quarter out of all reservations is from Florence, then using the same method as before to evaluate the number of passengers that had booked the train (from both Bologna and Florence).

$\displaystyle\frac{\displaystyle\frac{1}{4}}{1} \ = \ \displaystyle\frac{50}{y} \\ \\ y \ = \ \dsiplaystyle\frac{50}{\frac{1}{4}} \\ \\ y \ = \ 50 \ \times \ 4 \\ \\ y \ = \ 200$ ,

where the variable $y$ denotes the total number of bookings.

Therefore, the total number of passengers that had booked the train is 200.

Now, it is stated that all passengers who booked had boarded the train from Bologna which is 150 passengers (three-quarters of total bookings). Then, 36 passengers from earlier got off in Florence, while 20 passengers boarded.

Number of passengers left when arriving Rome = 150 - 36 + 20

= 134 passengers

8 0

2 years ago

How do I multiply? What is 1 times 3? I have no clue

rosijanka [135]

Answer:

It is 3

Step-by-step explanation:

Multiplication is one of the four basic operations in arithmetic, along with addition, subtraction, and division. Multiplication can actually be considered repeated addition, and you can solve simple multiplication problems by adding repeatedly. For larger numbers, you'll want to do long multiplication, which breaks the process down into repeated simple multiplication and addition problems. You can also try a shortcut version of long multiplication by splitting the smaller number in the problem into tens and ones, but this works best when the smaller number is between 10 and 19.

Restate the problem as an addition problem.
Add the repeated number together to get your answer.
Switch to long multiplication when multiplying 2-digit or larger numbers.

8 0

4 years ago

Read 2 more answers