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3 years ago

Answer to the question please

Mathematics

2 answers:

yuradex [85]3 years ago

8 0

Answer:

∠ 2 = 160°

Step-by-step explanation:

1 and 2 are adjacent angles and are supplementary, thus

1 + 2 = 180° , that is

20° + 2 = 180° ( subtract 20° from both sides )

A = 160°

sertanlavr [38]3 years ago

7 0

Answer:

it is 40*

Step-by-step explanation:

because you know 1 and 3 is 20*

so that would make 2 and 4 the same

witch is 40*

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What is the length of a diagonal of a cube with a side length of 10 cm? 200 cm 210cm 300 cm 320cm

Scilla [17]

Answer:

The length of the diagonal of the cube = √(3 × 10²) = √300 cm

Step-by-step explanation:

* Lets revise the properties of the cube

- It has six equal faces all of them are squares

- It has 12 vertices

- The diagonal of the cube is the line joining two vertices in opposite

faces (look to the attached figure)

- To find the length of the diagonal do that:

# Find the diagonal of the base using Pythagoras theorem

∵ The length of the side of the cube is L

∵ The base is a square

∴ The length of the diagonal d = √(L² + L²) = √(2L²)

- Now use the diagonal of the base and a side of a side face to find the

diagonal of the cube by Pythagoras theorem

∵ d = √(2L²)

∵ The length of the side of the square = L

∴ The length of the diagonal of the cube = √[d² + L²]

∵ d² = [√(2L²)]² = 2L² ⇒ power 2 canceled the square root

∴ The length of the diagonal of the cube = √[2L² + L²] = √(3L²)

* Now lets solve the problem

∵ The length of the side of the square = 10 cm

∴ The length of the diagonal of the cube = √(3 × 10²) = √300 cm

- Note: you can find the length of the diagonal of any cube using

this rule Diagonal = √(3L²)

7 0

3 years ago

Read 2 more answers

How do you write 0.3 as a fraction?

dimaraw [331]

Answer:

3/10

Hope it helps

7 0

3 years ago

Read 2 more answers

Find the equation of the line passing through the following : (-1;6) and (-3;0)

Licemer1 [7]

Answer:

Step-by-step explanation:

$(x_{1} , y_{1}) = (-1,6)\\\\(x_{2},y_{2}) = ( -3, 0)\\\\Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_1}}\\\\\\=\dfrac{0-6}{-3+1}\\\\\\=\dfrac{-6}{-2}\\\\=3$

Equation of the line: y= mx +b

y = 3x + b

Substitute ((-1 , 6) in the above equation

6 = 3*(-1) + b

6 = -3+b

6 +3 = b

b = 9

y = 3x + 9

6 0

3 years ago

Select the correct answer.

olganol [36]

It would be 5+x, 5 being the age difference

5 0

3 years ago

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Which expression is equivalent to RootIndex 3 StartRoot 64 a Superscript 6 Baseline b Superscript 7 Baseline c Superscript 9 Bas

mart [117]

Answer:

Which expression is equal to $\sqrt[3]{64}a^6b^7c^9$ ?

The correct answer is B.

$4a^{2}b^{2}c^{3}(\sqrt[3]{b})$

Step-by-step explanation:

Inside of the radical you have $64a^{6}$ . If you find the cube root of that, you get 4a^2. Go ahead and write that outside of the parenthesis:

$4a^{2}$ $\sqrt[x}$ $\sqrt[3]({b^{7}c^{9}})$

If you re-write what is inside of the radical, you get:

$4a^{2}(\sqrt[3]{b^{3}*b^{3}*b^{1}*c^{3}*c^{3}*c^{3} }$

Basically I expanded what was inside of the radical so I could find the cube roots of b^7 and c^9.

Now, take the cube root of b^7:

$4a^{2}b^{2} (\sqrt[3]b*c^{3}*c^{3}*c^{3} })$

Notice how I could only factor out the two "b^3" that were inside the radical symbol, and how I left the b^1 inside the radical symbol because I couldn't factor it out.

Let's now get the cube root of c^9. Since it's a perfect cube, there won't be any "c"s left inside of the radical symbol:

$4a^{2}b^{2}c^{9}(\sqrt[3]b)$

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3 years ago

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