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4 years ago

A= -2 b= -6 c= 5 10c^2 + 4a^2 a(3a+b) 2b(3b-c)

1 answer:

4 0

First one :

10•5^2+4•-2^2=234

Second one :
-2(3•-2+-6)=24

−2((3)(−2)−6)
(−2)((3)(−2)+−6)
(−2)((3)(−2))+(−2)(−6)
12+12
24
Last one :

2•-6(3•-6-5)

(2)(−6)((3)(−6)−5)
((2)(−6))((3)(−6)+−5)
((2)(−6))((3)(−6))+((2)(−6))(−5)
216+60
=276

Hoped I helped!

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In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in

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$\frac{\sin B}{b}=\frac{\sin A}{a} \\ \\ \sin B=\frac{b \sin A}{a} \\ \\ \sin B=\frac{13 \sin 29^{\circ}}{7.2} \\ \\ \boxed{m\angle B =\arcsin \left(\frac{65\sin 29^{\circ}{36} \right), 180^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}$

Considering the diagram. $\angle B$ is shown to be acute, so $\boxed{m\angle B=\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)}$ .

Angles in a triangle add to 180°, so $m\angle C= 151^{\circ}-\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right)$ .

Using the law of cosines,

$AB=\sqrt{13^2 + 7.2^2-2(13)(7.2)\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)} \\ \\ \boxed{AB=\sqrt{220.84-187.2\cos \left(\arcsin \left(\frac{65\sin 29^{\circ}}{36} \right) \right)}}$

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1 year ago

A video of Mr. Satyam’s class discussing mathematical strategies won a STEM award. 8% of the videos won awards. There were 24 aw

LekaFEV [45]

Answer:

There were 300 videos.

Step-by-step explanation:

Since there are 24 videos that got awards, and that's only 8% of the total videos, you put those together. We want the number of 100% of the videos. I would solve this by setting up a ratio and solving for $x$ . This is would look like:

$\frac{24}{8} =\frac{x}{100}$

In order to get to 100, you must multiply 8 by 12.5. Therefore, you can multiply 24 by 12.5 to complete the ratio. That would make the ratio look like:

$\frac{24}{8} =\frac{300}{100}$

Therefore there are 100% of the videos in the contest is 300.

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3 years ago

Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum

mrs_skeptik [129]

Answer:

Part a

The probability that the event disk has high shock resistance is 0.86

Part b

The probability that a disk has high scratch resistance given that the disk has high shock resistance is 0.8140

Step-by-step explanation:

(a).

From the given information,

Let A denote the event that a disk has high shock resistance,

and let B denote the event that a disk has high scratch resistance.

SHOCK HIGH(A) SHOCK LOW(A) TOTAL

SCRATCH

HIGH(B) 70 9 79

RESISTANCE 16 5 21

LOW(B)

TOTAL 86 14 100

Compute P(A).

Therefore, the probability value of the event A is 0.86.

Part a

The probability that the event disk has high shock resistance is 0.86

Explanation | Hint for next step

Based on the given information, the probability that the event disk has high shock resistance is 0.86. That means it is approximately equal to 86%.

Step 2 of 2

(b)

From the given information,

Let A denote the event that a disk has high shock resistance,

and let B denote the event that a disk has high scratch resistance.

SHOCK HIGH(A) SHOCK LOW(A) TOTAL

SCRATCH

HIGH(B) 70 9 79

SCRATCH

LOW(B) 16 5 21

TOTAL 86 15 100

ComputeP(B/A) = P(A∩B) /P(A) ;P(A) > 0

P(A∩B) =70/100

=0.70

From the part [a], the probability value of the event A is P(A) =0.86 .

Therefore,

P( {B/A} = P(A∩B) /P(A)

= 0.70 /0.86

=0.8140

Part b

The probability that a disk has high scratch resistance given that the disk has high shock resistance is 0.8140

Explanation | Common mistakes

The disk with high scratch resistance is found to be 81.40% with the condition that the disk with high shock resistance is maintained.

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3 years ago

1/2h(a+b)=1 solve for h

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H equals eighti'll just keep on writing because it needs to have 20 characters to answer

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3 years ago

Find the first four terms of the recursive sequence defined by the following formula: an = an-1 4 where a4 = 2 1 4 , , , 2 1 4.

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The first four-term of the sequence is found by the given equation $a_{n-1} = 4a_n$ is given as 144, 36, 9, and 9/4.

<h3>What is a sequence?</h3>

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

The given equation will be

$\rm a_n = \dfrac{a_{n-1}}{4} \\\\a_{n-1} = 4a_n$

And

$a_4 = 2 \dfrac{1}{4} = \dfrac{9}{4}$

For n = 4, we have

$\rm a_{4-1} = 4a_4\\\\a_3 \ \ \ = 4*\dfrac{9}{4} \\\\ a_3 \ \ \ = 9$

For n = 3, we have

$\rm a_{3-1} = 4a_3\\\\a_2 \ \ \ = 4*9 \\\\ a_2 \ \ \ = 36$

For n = 2, we have

$\rm a_{2-1} = 4a_2\\\\a_1 \ \ \ = 4*36 \\\\ a_1 \ \ \ = 144$

More about the sequence link is given below.

brainly.com/question/21961097

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2 years ago