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A rectangle has a height of 5y; and a width of 3y3 – 8y2 + 2y.

Korvikt [17]

Area= 15y^4-40y^3+10y^2

4 0

3 years ago

Nadia is investigating rotations about the center of regular polygons that carry the regular polygon onto itself. She claims tha

GalinKa [24]

Answer:

$\theta_1 \ n\ \theta_2 = 120, 240$

Step-by-step explanation:

The question is incomplete, as the angles of rotation are not stated.

However, I will list the angles less than 360 degrees that will carry the hexagon and the nonagon onto itself

We have:

$Nonagon = 9\ sides$

$Hexagon = 6\ sides$

Divide 360 degrees by the number of sides in each angle, then find the multiples.

Nonagon

$\theta = \frac{360}{9} =40$

List the multiples of 40

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

Hexagon

$\theta = \frac{360}{6} =60$

List the multiples of 60

$\theta_2 = 60, 120, 180, 240, 300$

List out the common angles

$\theta_1 = 40, 80, 120, 160, 200, 240, 280, 320$

$\theta_2 = 60, 120, 180, 240, 300$

$\theta_1 \ n\ \theta_2 = 120, 240$

This means that, only a rotation of $120, 240$ will lift both shapes onto themselves, when applied to both shapes.

The other angles will only work on one of the shapes, but not both at the same time.

7 0

3 years ago

Please help me! i really need help

deff fn [24]

Answer:

24.3

Step-by-step explanation:

because each side is the same. one has 12 inch and the other is 9. So you subtract 9 from 12 and get 3. Then you have to find out what the other mesurment is for the bigger shape, which is 2.7 because 32/12=2.66666, so u round and get 2.7 . so theen you multiply 9 and 2.7 and get 24.3! Hope this helps.

7 0

3 years ago

What two numbers' sum=-4 and product=-2

n200080 [17]

Let a and b be the two numbers. Then

a + b = -4

a b = -2

Solve the second equation for b :

b = -2/a

Substitute this into the first equation:

a - 2/a = -4

Multiply both sides by a :

a² - 2 = -4a

Move 4a to the left side:

a² + 4a - 2 = 0

Use the quadratic formula to solve for a :

a = (-4 ± √(4² - 4(-2))) / 2

a = -2 ± √6

If a = -2 + √6, then

-2 + √6 + b = -4

b = -2 - √6

In the other case, we end up with the same numbers, but a and b are swapped.

7 0

3 years ago

A baker made two cakes of the same size. • At the end of the day, there was 23 of a chocolate cake left. • There was 56 of a str

Murrr4er [49]

This is the concept of algebra, To solve the question we proceed as follows;
Number of chocolate cake left=23
The number of pieces that was left after the cake was divided into 2 equal pieces will be:
23*2
=46

Number of strawberry cake left = 56
The number of pieces that was left after the cake was divided into 3 equal pieces will be:
56*3
=168

Comparing the two fraction, the flavor that had larger pieces was strawberry cake;
This cake was larger compared to chocolate by:
168-46
=122
The answer is Strawberry by 122 of a cake

5 0

3 years ago