Which number is rational?
/2
10
O
16

Answer:

Circumference= 50.27

Area= 201.06

Answer:

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.  

E)The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.

C)The surface area changes by a factor of 8.

D)The larger prism has twice the volume of the smaller prism.

E)The area of the rectangular bases changes by a factor of 4.

Solution:

Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.

A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

Option A is correct.

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

Option B is correct.

C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68

The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)

Option C is wrong

D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632

Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704

The larger prism volume is not twice of the smaller prism

Option D is wrong

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

The area of the rectangular bases changes by a  factor of 4 (1.76 / 0.44 = 4)

Step-by-step explanation:

[tex]slope = \frac{\triangle \: y}{\triangle \: x} \\ = \frac{(7 - 2)}{(6 - ( - 5))} \\ = \frac{5}{11} \\ slope = (5 ,11)[/tex]

[tex] \tan(30) = \frac{x}{ \sqrt{72} } [/tex]

[tex] \sqrt{72} \tan(30) = x[/tex]

x equals about 4.9 rounded to the hundredths place.

Answer:

Yes.

Step-by-step explanation:

In order to form a triangle the sum of two sides should exceed the third side.

so here the given measurements fulfill this statement so

with the given lengths ; 15, 12 , 9 can form a triangle.

Answer:

the answer is c

Step-by-step explanation:

plato users

Answer:

the top one is posable oucomes and the the bottom is the other on

Step-by-step explanation:

Answer:

1 fav

2. possible

Step-by-step explanation:

Step-by-step explanation:

Find the slope /rate of change using the following ordered pair:(8,40) and (6,30)

also

6300

8400

= B= 14056

Answer:

5

Step-by-step explanation:

Calculate the slope , rate of change m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 40) and (x₂, y₂ ) = (6, 30)

m = [tex]\frac{30-40}{6-8}[/tex] = [tex]\frac{-10}{-2}[/tex] = 5

Answer:

b

Step-by-step explanation:

11+11+10+10=42cm

Answer:

x=10  y=20

Step-by-step explanation:

Answer:

I think total of is right answer

Answer:

Dividing with negatives will result in a flip in the signs.

Step-by-step explanation:

In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.

[tex]-7y > 161\\ \\\\[/tex]

Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:

Notice the change in signs.

---------------------------

Now in the second equation, the constant (161) is negative. So if you solve this,

[tex]7y > -161[/tex]

You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!

Answer:

The answer is 721295.2

Answer:

721,295.2

Step-by-step explanation:

I used the "Rounding Numbers Calculator" on Calculator Soup

Answer:

Cashier

Step-by-step explanation:

An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.

Answer:

C. Cashier

Step-by-step explanation:

Retail cashiers require no formal training.

To be an elementary teacher, you must have at least a Bachelor's degree.

To be a college professor, you must have at least a Master's degree.

To be an accountant, you must have at least a Bachelor's degree.

Answer:

80 units squared

Step-by-step explanation:

If two sides of a rectangle add up to 18cm and the area is 80 units squared then the length is 10cm, and the width is 8cm. If you add 10 and 8 together you get 18, and if you multiply those you get 80 units squared.

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

Answer:

D) 16π/3 ft

Step-by-step explanation:

The Question is calculated using Arc length formula

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

Hence, the arc length = Option D =  16π/3 ft

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]

hope it helps

have a nice day

Answer:

Divide both sides by L

Step-by-step explanation:

Because L is multiplied by W, to find W you would need to move the L to the other side by doing the reverse operation, which in this case is division.

Answer:

Step-by-step explanation:

The white box is a rectangle with width of:

a = 2 m

and length of:

b = 7 m - 1 m = 6 m

So its area is  A = 2 m × 6 m = 12 m²

{The shaded blue area is: (5 m + 1 m)(8 m) - 12 m² = 48 m² - 12 m² = 36 m²}

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

Step-by-step Answer:

C and D are both correct as fractions. Numbers are NOT irrational because they are a fraction. And concluding decimals are both rational numbers. By using a known formula you can convert reaptedly decimals to a fraction.  

Answer:

a

Step-by-step explanation:

Answer:

I think it would be B) 47.   Sorry if wrong

Step-by-step explanation:

Answer:

-432 ,-2 ,2 ,72

Step-by-step explanation:

The Answer Is 2,592

This is because this is a geometric sequence, every number is multiplied by -6 to find the next number in the sequence.

Answer:

the number of games rented

Step-by-step explanation:

in y=5x + 7

7= membership fee

5x represents the $5 per game times the number of games rented x

Answer:

20

Step-by-step explanation:

To find the least number of leafs that each collection must have, we find the L.C.M of both numbers. So L.C.M of 4 and 5.

The prime factors of 4 = 2²

The prime factors of 5 = 5

So L.C.M of 4 and 5 = 2² × 5 = 20

So, the least number of leafs that each collection can have is 20 leafs.

Answer:

x = 11

Step-by-step explanation: