Evaluate the expression 2ab3 + 6a3 - 4ab2 when a = 2 and b = 4.

Mathematics

2 answers:

evablogger [386]2 years ago

7 0

2(2)(4)3+6(2)3-4(2)(4)2
48 + 36 - 64
74 - 64
= 10

nalin [4]2 years ago

3 0

2(2x4)3 + 6(2)3 - 4(2x4)2
(4x8)3 + (12)3 - (8x16)2
(32)3 + (12)3 - (128)2
96 + 36 - 256
-124

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Find the length of side AB Give answer to 3 significant figures

Rina8888 [55]

Answer:

AB = 8.857 cm

Step-by-step explanation:

Here, we are given a right angle $\triangle ABC$ in which we have the following things:

$\angle A = 90 ^\circ\\\angle C = 41 ^\circ\\\text{Side }BC = 13.5 cm$

Side BC is the hypotenuse here.

We have to find the side AB.

Trigonometric functions can be helpful to find the value of Side AB here.

Calculating $\angle B$ :

Sum of all the angles in $\triangle ABC$ is $180^\circ$ .

$\Rightarrow \angle A + \angle B + \angle C = 180^\circ\\\Rightarrow 90^\circ + \angle B + 41^\circ = 180^\circ\\\Rightarrow \angle B = 49^\circ$

We know that cosine of an angle is:

$cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\Rightarrow cos B = \dfrac{AB}{BC}\\\Rightarrow cos 49^\circ = \dfrac{AB}{13.5}\\\Rightarrow AB = 13.5 \times 0.656\\\Rightarrow AB = 8.857 cm$

So, side AB = 8.857 cm .

6 0

2 years ago

50 points decreased by 26% is points.

lakkis [162]

$50\times\frac{26}{100}\\\\=\frac{50\times26}{100}\\\\=\frac{1300}{100}\\\\=13\\\\50-13={\boxed{ \bf 37}}$

50 points decreased by 26% is 37 points.

$50\times\frac{26}{100}\\\\= 50 \times 0.26\\\\=13\\\\ 50-13={\boxed{ \bf 37}}$

50 points decreased by 26% is 37 points.

3 0

3 years ago

Read 2 more answers

The domain of the function is all The range of the function is all

kondaur [170]

The domain of a function is the set of all the x terms of the function and the range of a function is the set of all the y terms of a function.

For example, take a look below.

The domain is the set of all x terms in each ordered pair and the

range will be the set of all the y terms in each ordered pair.

7 0

2 years ago

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