MATHEMATICS HIGH SCHOOL

154 sq. cm is the area of a circle
so find its radius
$\pi =(22)/(7)$

Answers

Answer 1

Answer:

Answer:

r = 7 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( where r is the radius )

Given A = 154 , then

πr² = 154 , that is

$(22)/(7)$ r² = 154 ( multiply both sides by 7 to clear the fraction )

22r² = 1078 ( divide both sides by 22 )

r² = 49 ( take square root of both sides )

r = $√(49)$ = 7 cm

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Solve the system of equations.2x + 3y = 13
–6x + 4y = 0
A.
(2, 3)
B.

C.
(5, 1)
D.
(–2, –3)

Answers

2x + 3y = 13

–6x + 4y = 0

multiply the first equation by 3

6x +9y = 39

then add the 2nd equation to the first

6x +9y = 39

–6x + 4y = 0

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

13y = 39

divide by 13

y =3

now take an equation and solve for x by substituting in y

2x +3y =13

2x +3(3) =13

2x+9 =13

subtract 9 from each side

2x =4

divide by 2

x=2

Answer (2,3)

Choice A

Answer:

Step-by-step explanation:

Solve 3x^2 = 6x by rewriting the equation. Show your reasoning.

Answers

Solution of the given equation $3x^(2)=6x$ is x=2 and 0

What is an equation?

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given,

$3x^(2) =6x$

Rewrite the equation

$3x^(2) -6x=0$

Solve the equation

$3x^(2) -6x=0\n3(x^(2) -2x)=0\nx^(2) -2x=0$

Therefore the roots are

x=2 and 0

Hence, solution of the given equation $3x^(2) =6x$ is x= 2 and 0

Learn more about equation here

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The fence along the length of a ranch measures 4,450.5 meters and the fence along the width of a ranch measures 2,890 meters.The length of the fence is how many kilometers longer than the width?

_______ km

Answers

Given:
Length = 4,450.5 meters
Width = 2,890 meters

1 kilometer = 1,000 meters

Length: 4,450.5 meters * 1km/1,000 meters = 4,450.5 km/1,000 = 4.4505km

Width: 2,890 meters * 1km/1,000 meters = 2,890 km/1,000 = 2.89 km

4.4505 km - 2.89 km = 1.5605 km

The length of the fence is 1.5605 km longer than the width of the fence.

The ____ is a metric unit for mass.A : Meter

B : Gram

C : Liter

Answers

The gram is a metric unit for mass.

Your answer is B: Gram

Write down a number you can square to give an answer bigger than 400 but smaller than 500

Answers

If you would like to know a number you can square and the answer is bigger than 400 but smaller than 500, you can calculate this using the following step:

20^2 = 400 < 21^2 = 441 < 22^2 = 484 < 500

There are two correct results: 21 and 22.

Which of the following represents a polygon that is two times the size of the original polygon?A: (x' , y') = (0.2x,0.2y)
B: (x' , y') = (1/2x, 1/2y) <-- Fractions
C: (x' , y') = (4x,4y)
D: (x' , y') = (2x,2y)

Answers

The expression representing two times the size of the original polygon is (x' , y') = (2x,2y), hence, option (D) is the correct answer.