What Is the surface area of 16 inches, 4 inches, and 9 inches

The regular octagon has a perimeter of 122.4 cm. Which statements about the octagon are true? Check all that apply.

Papessa [141]

Answer:

The length of segment XY can be found by solving for a in

$20^2-7.65^2=a^2$

The measure of the central angle $\angle ZXW$ is $45\degree$ .

Step-by-step explanation:

If the regular octagon has a perimeter of 122.4cm, then each side is $\frac{122.4}{8}=15.3cm$

The measure of each central angle is $\frac{360\degree}{8}=45\degree$

The angle between the apothem and the radius is $\frac{45}{2}=22.5\degree$

The segment XY=a is the height of the right isosceles triangle.

We can use the Pythagoras Theorem with right triangle XYZ to get:

$a^2+7.65^2=20^2$

$a^2=20^2-7.65^2$

Therefore, the correct options are:

The length of segment XY can be found by solving for a in

$20^2-7.65^2=a^2$

The measure of the central angle $\angle ZXW$ is $45\degree$ .

4 0

4 years ago

Factor x3 + 2x2 + x completely. a. (x+1)^2 b. x(x+1)^2 c. x(x+1)^2

enot [183]

Option B

ANSWER:

The factors of $x^{3}+2 x^{2}+x$ is $x(x+1)^{2}$

SOLUTION:

Given, cubic expression is $x^{3}+2 x^{2}+x$

Now, we have to find the factors of above equation.

To factorize the given equation, follow the below steps:

$\mathrm{x}^{3}+2 \mathrm{x}^{2}+\mathrm{x}$

Since x is common in every term of expression, we can take it as common

$x\left(x^{2}+2 x+1\right)$

“2x” can be rewritten as “x + x”, the above equation becomes,

$x\left(x^{2}+x+x+1\right)$

Taking the common terms out of bracket. we get

x(x (x + 1) + 1 (x + 1))

Taking (x + 1) as common., we get

x ((x + 1)(x + 1))

$x(x+1)^{2}$

Hence, the second option b is correct.

7 0

3 years ago

a freight elevator CAN safely hold no more than 2000 Pound. an elevator operator must take 55lb boxes to a storage área. if he w

BARSIC [14]

Answer:

33 boxes.

Step-by-step explanation:

We have been given that a freight elevator can safely hold no more than 2000 pound. Weight of elevator operator is 165 pound. Weight of each box is 55 pound.

Let n be number of boxes. We will write an inequality as weight of elevator operator and weight of all boxes should be no more than 2000 pound.

$55*n+165\leq 2000$

Now we will solve our inequality to find number of boxes that could be moved safely at one time.

$55*n\leq 2000-165$

$55*n\leq 1835$

$n\leq \frac{1835}{55}$

$n\leq 33.363636$

Therefore, 33 boxes can be moved safely at one time.

8 0

4 years ago

What is the volume of the following rectangular prism? 2 units 3 3 units? 8 Volume units3

ohaa [14]

Answer:

Add all together you will get the answer

Step-by-step explanation:

What is the volume of the following rectangular prism? 5 units units2 5 Volume = units3

6 0

3 years ago

Read 2 more answers

Write a function rule for finding the amount of daily pay, p, in the following situation: A bus driver gets paid $100 each day p

ArbitrLikvidat [17]

Fixed pay+variable pay=total pay
100+pay per km times number of km=total pay
100+0.2k=p

p=0.20k+100

3rd option is answer

3 0

4 years ago