Ask question

Ask question

All categories

2 years ago

11

Two triangles are similar. The sides of one are three times as long as the sides of the other. What is the ratio of the areas of

the smaller to the larger?

1 answer:

Setler [38]2 years ago

4 0

Answer:

1 : 9

Step-by-step explanation:

Given 2 similar figures with sides in ratio a : b , then

ratio of areas = a² : b²

Here the ratio of sides = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

You might be interested in

An asset is something...

IceJOKER [234]

Answer:

The Answer is Something owned.

Step-by-step explanation:

please give brainliest.

5 0

2 years ago

Evaluate the expression, using the given value of the variable.

natka813 [3]

-10 is the answer to the question above.

3 0

2 years ago

Read 2 more answers

. Find f(3) for the following function

Snowcat [4.5K]

Answer:

$\boxed {\boxed {\sf D. \ f(3)= 30}}$

Step-by-step explanation:

We are given the function:

$f(x)= 3(2)^x+6$

We want to find f(3), so we must substitute 3 in for x.

$f(3)= 3(2)^3+6$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Solve the exponent first.

2³= 2*2*2= 4*2= 8

$f(3)= 3(8)+6$

Multiply 8 and 3.

$f(3)= 24+6$

Add.

$f(3)=30$

For the function given, f(3) is 30.

7 0

2 years ago

Read 2 more answers

Solve the following quadratic by<br> completing the square.<br> y = x^2 - 6x+7

kozerog [31]

Answer:

$x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}$

Step-by-step explanation:

<u>Given quadratic equation</u>:

$y = x^2 - 6x+7$

To complete the square, begin by adding and subtracting the square of half the coefficient of the term in x:

$\implies y = x^2 - 6x+\left(\dfrac{-6}{2}\right)^2-\left(\dfrac{-6}{2}\right)^2+7$

$\implies y = x^2 - 6x+\left(-3\right)^2-\left(-3\right)^2+7$

$\implies y = x^2 - 6x+9-9+7$

Factor the perfect square trinomial:

$\implies y=(x-3)^2-9+7$

$\implies y=(x-3)^2-2$

To solve the quadratic, set it to zero and solve for x:

$\implies (x-3)^2-2=0$

$\implies (x-3)^2-2+2=0+2$

$\implies (x-3)^2=2$

$\implies \sqrt{(x-3)^2}=\sqrt{2}$

$\implies x-3= \pm\sqrt{2}$

$\implies x-3+3= 3\pm\sqrt{2}$

$\implies x= 3\pm\sqrt{2}$

Therefore, the solution to the given quadratic equation is:

$x= 3+\sqrt{2}, \quad x= 3 -\sqrt{2}$

6 0

4 months ago

Read 2 more answers

What is thirty five thousandths as decimal numerals

kirill [66]

Answer: Thirty five thousandths as decimal numerals is 0.035

3 0

3 years ago