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3 years ago

Which Product will result in a cell or difference of cubes? Pls do not give any joke answers

Mathematics

2 answers:

Rom4ik [11]3 years ago

5 0

Answer:

(x-9)(x²+9x+81); it'll give a difference of cubes

Step-by-step explanation:

Generally, the difference of cubes formula is (a³-b³)=(a-b)(a²+ab+b²), and the third option is the only one which fits it; with "a"= x and "b"= 9.

*The sum of cubes formula is (a³+b³)=(a+b)(a²-ab+b²); for future reference.

STatiana [176]3 years ago

5 0

Answer:

Step-by-step explanation:

Good morning,

_____________

The right answer is : (x-9)(x²+9x+81) = x³ - 9³

In fact (a³−b³)=(a−b)(a² + ab + b²) and here we have a=x , b=9.

_________________________________________

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Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

irakobra [83]

Question:

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41° How tall is the lighthouse?

Answer:

The height of lighthouse is 52.2 yards

Solution:

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

$tan(\angle ACB) = \frac{Perpendicular}{Base}$

Here Base is BC and perpendicular is AB

$\tan 41^{\circ}=\frac{A B}{B C}$

Substituting the values,

$\begin{aligned}&\tan 41^{\circ}=\frac{A B}{60}\\\\&0.8692=\frac{A B}{60}\\\\&A B=0.8692 \times 60=52.157 \approx 52.2\end{aligned}$

Thus the height of lighthouse is 52.2 yards

8 0

3 years ago

Given: SR bisects angle TSQ angle T is congruent to angle Q prove: triangle RTS is congruent to RQS

yan [13]

Triangle RTS is congruent to RQS by AAS postulate of congruent

Step-by-step explanation:

Let us revise the cases of congruence

SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ
SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and including angle in the 2nd Δ
ASA ⇒ 2 angles and the side whose joining them in the 1st Δ ≅ 2 angles and the side whose joining them in the 2nd Δ
AAS ⇒ 2 angles and one side in the 1st Δ ≅ 2 angles and one side in the 2nd Δ
HL ⇒ hypotenuse leg of the 1st right Δ ≅ hypotenuse leg of the 2nd right Δ

∵ SR bisects angle TSQ ⇒ given

∴ ∠TSR ≅ ∠QSR

∴ m∠TSR ≅ m∠QSR

∵ ∠T ≅ ∠Q ⇒ given

∴ m∠T ≅ m∠Q

In two triangles RTS and RQS

∵ m∠T ≅ m∠Q

∵ m∠TSR ≅ m∠QSR

∵ RS is a common side in the two triangle

- By using the 4th case above

∴ Δ RTS ≅ ΔRQS ⇒ AAS postulate

Triangle RTS is congruent to RQS by AAS postulate of congruent

Learn more:

You can learn more about the congruent in brainly.com/question/3202836

#LearnwithBrainly

3 0

3 years ago

We need a minimum of 30 book sales by today. If 10 books were sold yesterday, what are the possible numbers for sales today

amm1812

I mean it would be A and D because I don't know why they are both the same answer. If 10 books were sold yesterday, at LEAST 20 are needed to make the goal.

6 0

3 years ago

Find the product. (-4·3·2)2 -48 48 -576 576

VLD [36.1K]

(-4*3*2)^2 = (-24)^2 = 576

hope this will help you

5 0

3 years ago

Read 2 more answers

PLS HELP Find the m∠RLU. A. 10º B. 6º C. 25º D. 50º

balandron [24]

Step-by-step explanation:

6n-10=50

6n=60

n=10

rlu=6n-10

=6×10-10

=60-10

8 0

3 years ago