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3 years ago

I need Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

quester [9]3 years ago

5 0

9514 1404 393

Answer:

150.72 cm³
314 cm³
160 cm³
48 cm³

Step-by-step explanation:

Put the given numbers in the relevant formula and do the arithmetic.

right cylinder

V = πr²h = 3.14(4 cm)²(3 cm) = 3.14×48 cm³ = 150.72 cm³

cone

V = 1/3πr²h = 1/3(3.14)(5 cm)²(12 cm) = 3.14×100 cm³ = 314 cm³

pyramid of unknown shape

V = 1/3Bh = 1/3(16 cm²)(30 cm) = 160 cm³

square pyramid

V = 1/3s²h = 1/3(3 cm)²(16 cm) = 48 cm³

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What is the solution to the following equation? 5(2x –6) + 20 = 10

Igoryamba

Answer:

Step-by-step explanation:

Simplifying

5(2x + -6) + 20 = 10

Reorder the terms:

5(-6 + 2x) + 20 = 10

(-6 * 5 + 2x * 5) + 20 = 10

(-30 + 10x) + 20 = 10

Reorder the terms:

-30 + 20 + 10x = 10

Combine like terms: -30 + 20 = -10

-10 + 10x = 10

Solving

-10 + 10x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '10' to each side of the equation.

-10 + 10 + 10x = 10 + 10

Combine like terms: -10 + 10 = 0

0 + 10x = 10 + 10

10x = 10 + 10

Combine like terms: 10 + 10 = 20

10x = 20

Divide each side by '10'.

x = 2

Simplifying

x = 2

3 0

3 years ago

Read 2 more answers

!!!!!!HELPPP!!!!!!

andrew11 [14]

Hey there! I'm happy to help!

A permutation is focused on a specific order, while a combination is not focused on the order but on the content of what is grouped.

AB and BA are different permutations because they are in different orders, but they are the same combination because they both contain the letters A and B.

So, we see that AB and BA are one combination.

AC and CA are also another combination because they are made up of the letters A and C.

Same goes for BC and CB, this is also one combinations.

This totals up to C. 3 combinations. Now you know the difference between permutations and combinations!

Have a wonderful day!

8 0

3 years ago

What is an equation of the line that passes through the points (6, -5) and (3,0)?

Aliun [14]

Step-by-step explanation:

Hey there!

The equation of a st.line passing through points (6,-5) and (3,0) is;

$(y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)$

[Using double point formula]

Now, Put all values,

$(y + 5) = \frac{0 + 5}{3 - 6} (x - 6)$

Simplify it to get equation.

$(y + 5) = - \frac{5}{3} (x - 6)$

$3(y + 5) = - 5(x - 6)$

$3y + 15 = - 5x + 30$

$5x + 3y + 15 - 30 = 0$

$5x + 3y - 15 = 0$

Therefore the required equation is 5x + 3y - 15 = 0.

Hope it helps...

7 0

3 years ago

Read 2 more answers

Please no link! need question answered as soon as possible

ira [324]

$\huge\bold{Given :}$

Angle 1 = 40°

Angle 2 = x°

Angle 3 = ( x + 28 )°

$\huge\bold{To\:find :}$

The value of x.

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

${\boxed{\mathcal{\purple{The\:value\:of\: x \:is\:56 ° .\:}}}}$ ✅

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

We know that,

$\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}$

➪ ∠ 1 + ∠ 2 + ∠ 3 = 180°

➪ 40 + x° + x° + 28° = 180°

➪ 2x° + 68° = 180°

➪ 2x° = 180° - 68°

➪ x° = $\frac{112° }{2}$

➪ x° = 56°

$\sf\red{Therefore, \:the\: value \:of \:x\: is \:56°.}$

$\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}$

∠ 1 + ∠ 2 + ∠ 3 = 180°

✒ 40° + 56° + 56° + 28° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

$\boxed{Hence\:verified.}$

$\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆$

3 0

3 years ago

Architect Frank Lloyd Wright included a pool shaped like a right triangle in his design of Taliesin West in Scottsdale, Arizona.

bogdanovich [222]

Answer:

Step-by-step explanation:

41 + 40 + 57.28 ft, 138.28 ft.

5 0

3 years ago