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xeze [42]
3 years ago
8

Find the value of each variable. Write an equation then solve showing ALL the work A2x+10°

Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

x = 25

Step-by-step explanation:

The three straight lines in the sides of the triangle means that ALL 3 SIDES ARE EQUAL.

This is an equilateral triangle. So all 3 angles are equal.

We know sum of 3 angles in a triangle is 180. Since 3 of the angles are equal, each angle is:

180/3 = 60

The top angle is given as "2x + 10", thus we can say "2x + 10" is equal to 60 degrees. Now we equate and solve for x:

2x+10=60\\2x=60-10\\2x=50\\x=\frac{50}{2}\\x=25

The value of x is 25

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3 years ago
The volume of a cube is related to the area of a face by the formula V = A^3/2What is the volume of a cube whose face has an are
Sveta_85 [38]

Answer:

\huge\boxed{1000 \ \text{cm}^3}

Step-by-step explanation:

There are two ways we can solve this equation.

<h2>A) Using the formula provided</h2>

The formula provided states that the volume of a cube based on the area of one of it's faces will be a^{\frac{3}{2}}, a the area of one face. Since we know the area of one face, we can substitute that inside the equation.

100^{\frac{3}{2}}

It's important to note that when we have a number to a fraction power, it's the same as taking the denominator root of the base to the numerator power.

So - 100^{\frac{3}{2}} becomes \sqrt{100^3}

  • 100^3=1000000
  • \sqrt{1000000}=1000

Therefore, the volume of this cube will be 1000 \ \text{cm}^3

<h2>B) Using prior knowledge about cubes</h2>

We can additionally use prior knowledge to find the volume of this cube.

We know that the area of a square will be s^2, where s is the length of a side. We also know the formula to find the volume of a cube from it's side length is s^3.

Since we know that one face is 100, we can make an equation - s^2=100

  • \sqrt{s^2}=\sqrt{100}
  • s=10

Now that we know the value of s, we can plug it into the volume formula, s^3.

  • 10^3
  • 10 \cdot 10 \cdot 10
  • 1000

So the volume is 1000 \ \text{cm}^3.

Hope this helped!

4 0
3 years ago
Expanding brackets (2x + 4)(x - 6)
Natalija [7]

Answer:

=2x²-8x-24 is the answer

Step-by-step explanation:

=(2x+4)(x-6)

opening brackets by multiplying

=2x(x-6)+4(x-6)

=2x²-12x+4x-24

adding like terms

=2x²-8x-24

i hope this will help you :)

5 0
3 years ago
Read 2 more answers
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