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3 years ago

Which of the following expresses 16 + 36 by using the GCF of the two numbers?

Mathematics

2 answers:

sergij07 [2.7K]3 years ago

6 0

16 + 36 = 52 so the answer would be A) 4(4 + 9) because that equals 52 as well.

Darya [45]3 years ago

5 0

The answer is 4(4 + 9)

Because,
4x4= 16 and 4x9=36

so, 16 + 36

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1. Complete this statment: A polygon with all sides the same length is said to be____

Katen [24]

Answer:

Q1. Regular (A)

Q2. 105° (C)

Q3. x=45°

Step-by-step explanation:

Q1. A regular polygon is a polygon with all sides and angles equal.

Q2. The sum of the measure of exterior angles of a polygon is always 360°. Therefore, 360°-255°=105°

Q3. 148°+112°+(2x+10)°+(2x)°+90°= Sum of angles in a pentagon.

Note: The square at the fifth angle shows that its a right angle which is 90°. Also all the angles are equal to the sum of angles in a pentagon 'cause the polygon has 5 sides ( a pentagon).

Sum of interior angles of a polygon is: (n-2)180°. Where "n" is the number of sides of the polygon.

Therefore the sum of interior angles is (5-2)180°=540°

solving the equation you have;

360°+4x=540°

4x=540°-360°

4x=180°

x=180°/4

x=45°

therefore x=45°

8 0

3 years ago

Daniel volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the lib

liq [111]

Answer:

500

Step-by-step explanation:

hope it helps you

tic tac toe

7 0

3 years ago

Solid:

Liono4ka [1.6K]

Answer:

area = 99.33units²

Step-by-step explanation:

b + 1/2p + l

good luck, i hope this helps :)

5 0

3 years ago

Read 2 more answers

Data was collected

Rudiy27

Ok? what data?? i need context

3 0

3 years ago

A person has utility function u(x, y) = 100xy + x + 2y. Suppose that the price per unit of x is $2, and that the price per unit

Kazeer [188]

Answer:

x = 250

y = 125

u(x,y) = 3125500

Step-by-step explanation:

As given,

The utility function u(x, y) = 100xy + x + 2y

$P_{x}$ = 2 , $P_{y}$ = 4

Now,

Budget constraint -

$P_{x}$ x + $P_{y}$ y = 1000

⇒2x + 4y = 1000

So,

Let v(x, y) = 2x + 4y - 1000

Now,

By Lagrange Multiplier

Δu = Δv

⇒< 100y + 1, 100x + 2 > = < 2, 4 >

By comparing, e get

100y + 1 = 2 ........(1)

100x + 2 = 4 .........(2)

Divide equation (2) to equation (1) , we get

$\frac{100y + 1}{100x + 2} = \frac{1}{2}$

⇒2(100y+1) = 1(100x+2)

⇒200y + 2 = 100x + 2

⇒200y = 100x

⇒2y = x

Now,

As 2x + 4y = 1000

⇒2x + 2(2y) = 1000

⇒2x + 2x = 1000

⇒4x = 1000

⇒x = 250

Now,

As 2y = x

⇒2y = 250

⇒y = $\frac{250}{2}$ = 125

∴ we get

x = 250

y = 125

Now,

u(250, 125) = 100(250)(125) + 250 + 2(125)

= 3125000 + 250 + 250

= 3125000 + 500

= 3125500

⇒u(250, 125) = 3125500

3 0

3 years ago