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3 years ago

Help please True or False explain

Mathematics

2 answers:

Mariana [72]3 years ago

8 0

False because if it was 30 the range wiuld be 55 to 85

goldfiish [28.3K]3 years ago

7 0

Answer: False

Hope this helps! :)

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Evaluate the expression.

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The answer is 3. By cubing a number you are literally taking the number and multiplying it by itself 3 times. So, in this case. The answer is 3.

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3 years ago

Ben is 20 years older than Daniel. Ben and Daniel first met two years ago. Three years ago, Ben was 3 times as old as Daniel. Ho

Angelina_Jolie [31]

The first thing to do is identify the unnecessary information (that they met 2 years ago).

From there, let's go back three years ago. We'll call Daniel's age x, and Ben's age will be 3x. Ben's age is also equal to x + 20.

3x = x+ 20

2x = 20

x = 10

Daniel was 10 three years ago, and Ben was 30. Now, Ben is 33.

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PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE "Brainliest" TO THE FIRST CORRECT PERSON!!!

saw5 [17]

Answer: $x=18$ ; $y=6\sqrt{3}$

Step-by-step explanation:

You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.

<u>Pythagorean's Theorem:</u>

The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.

$a^2+b^2=c^2$

$x^2+y^2=(12\sqrt{3} )^2$

$x^2+y^2=12^2*\sqrt{3} ^2=432$

<u>Sine of the Angle:</u>

Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:

$sin(\alpha )=opposite/hypotenuse$

$sin(30)=y/12\sqrt{3}$

$\frac{1}{2} =y/12\sqrt{3}$

$y=6\sqrt{3}$

Plug this value of 'y' into the first expression derived from Pythagorean's theorem:

$x^2+y^2=432$

$x^2+(6\sqrt{3} )^2=432$

$x^2+108=432$

$x^2=432-108=324$

$x=\sqrt{324}$

$x=18$

Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:

$(\sqrt{324})^2+y^2=432$

$324+y^2=432$

$y^2=432-324=108$

$y=\sqrt{108}$

$y=\sqrt{36*3}$

$y=6\sqrt{3}$

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