Macy is 2 years older than Camille. Twice the sum of their ages is 52.

Mathematics

1 answer:

Oduvanchick [21]3 years ago

7 0

The first one maybe ...

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Find the value of x. O is the center of the circle. Round your answer to the nearest hundredth.

katrin [286]

$x=5.38$ . Correct option C)5.38

Step-by-step explanation:

Here we have , Find the value of x. O is the center of the circle. Round your answer to the nearest hundredth. picture is attached . Let's find out:

In the given figure , Let's draw a line from center to the point where cord of length 8 unit is touching the circle or intersecting or , where this chord finishes . This line is radius of circle and is denoted by x , So now we have a right angle triangle with dimensions as :

$Perpendicular =3.6\\Base=\frac{8}{2}=4\\Hypotenuse=x$

By Pythagoras Theorem ,

$Hypotenuse^2=Perpendicular^2+base^2$

⇒ $x^2=(3.6)^2+(4)^2$

⇒ $x=\sqrt{(3.6)^2+(4)^2}$

⇒ $x=\sqrt{12.96+16}$

⇒ $x=\sqrt{28.96}$

⇒ $x=5.38$

Therefore , $x=5.38$ . Correct option C)5.38

6 0

3 years ago

If f(x)=(1/8)(8^x) what is f(3)? A. 1/512 B. 1/64 C. 512 D. 64

cestrela7 [59]

Hi there!

Let's solve this problem step by step!
$f(x) = \frac{1}{8} (8 {}^{x})$

To find f(3) we must substitute x = 3 into the formula.
$f(3) = \frac{1}{8} (8 {}^{3} )$

Now we use PEMDAS (Parenthesis, exponents, multiply, divide, add, subtract) to find our answer.

Work out the exponents inside the parenthesis first.
$f(3) = \frac{1}{8} \times 512$

And finally multiply.
$f(3) = \frac{1}{8} \times \frac{512}{1} = \frac{512}{8} = 64$

Hence, the answer is D. 64.
~ Hope this helps you!

4 0

3 years ago

Read 2 more answers

PLEASE HELP!! look at the image below

Sladkaya [172]

Answer:

A right 4 down 5

Step-by-step explanation:

counting the grid spaces from any point for example R and going to the point R' (R prime) will give you the translation

8 0

3 years ago

Using L'Hopital's rule, evaluate the limit as x approaches infinity of (sin (8x))/(5x)