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2 years ago

What is the sum of the interior angles of a pentagon

Mathematics

1 answer:

Juliette [100K]2 years ago

8 0

3 $\pi$ radians

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Find the product.

4vir4ik [10]

Answer :

$6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3 {y}^{3} {z}+3 {y}^{2} {z}^{2}$

Step-by-step explanation :

To find the product of

$3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)$

First we expand the bracket ,

it implies that, we use the expression outside the bracket to multiply individual expressions inside the bracket.

Hence

$3 {y}^{2} z(2 {y}^{2} z + 4yz - y + z)$

$= 3 {y}^{2} z(2 {y}^{2} z) + 3 {y}^{2} z(4yz) - 3 {y}^{2} z(y )+3 {y}^{2} z( z)$

we now apply the law of indices

${a}^{m} \times {a}^{n} = {a}^{m+n}$

meaning, when you are multiplying two expressions with the same bases , repeat one of the bases and add the exponents.

Then, simplify to obtain

$= 6{y}^{4} {z}^{2} + 12 {y}^{3} {z}^{2}-3{y}^{3} {z}+3 {y}^{2} {z}^{2}$

3 0

2 years ago

What is the surface area of the rectangular prism below?

pickupchik [31]

Answer:

SA: 38

Step-by-step explanation:

3 + 12 + 3 + 4 + 16 =

15 + 7 + 16 =

22 + 16 =

6 0

2 years ago

How do you calculate quadratic regression by hand

irinina [24]

you can use calculator because it shows the graph and table.

4 0

2 years ago

Suppose you know that <T and<S are supplementary, and that m<T=3(m<S). How can you find m<T?

stealth61 [152]

Answer:

∠T = 135°

Step-by-step explanation:

Supplementary angles sum to 180°, thus

∠T + ∠S = 180

However, ∠T = 3∠S, hence

3∠S + ∠S = 180

4∠S = 180 ( divide both sides by 4 )

∠S = 45°, hence

∠T = 180° - 45° = 135°

4 0

2 years ago

Zach spent 2/3 hour reading on Friday a 11/3 hlurs reading on Saturday. How much more time did he read on Saturday tha on Friday

mr Goodwill [35]

notice, the denominator for each fraction is the same, thus the LCD is just 3.

$\bf \cfrac{11}{3}-\cfrac{2}{3}\implies \cfrac{11-2}{\stackrel{LCD}{3}}\implies \cfrac{9}{3}\implies 3$

6 0

2 years ago