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Pachacha [2.7K]
3 years ago
15

Find the area of the triangular section of the rectangle solid shown in the figure .

Mathematics
2 answers:
Natali5045456 [20]3 years ago
7 0

Length of three diagonal A,B and C of given solid is

  A=\sqrt{12^2+4^2}\\\\A=\sqrt{160}\\\\A=4 \sqrt{10}\\\\B=\sqrt{12^2+8^2}\\\\B=\sqrt{208}\\\\B=4\sqrt{13}\\\\C=\sqrt{8^2+4^2}\\\\C=\sqrt{80}\\\\C=4\sqrt{5}

Area of Triangle

                  =\frac{1}{2} \times \text {Product of two adjacent sides}\times \text{Angle between these two sides}

\cos B=\frac{c^2+a^2-b^2}{2*a*c}\\\\\cos B=\frac{160+80-208}{2*4\sqrt{5}*4\sqrt{10}}\\\\ \cos B=\frac{32}{32*\sqrt{50}}\\\\ \cos B=\frac{1}{\sqrt{50}}\\\\\ sin^2B=1-\frac{1}{50}\\\\ \sin B=\frac{7}{\sqrt{50}}\\\\ \text{Area}\Delta=\frac{1}{2}ac \sin B\\\\=\frac{1}{2} \times 4\sqrt{5} \times 4\sqrt{10}\times \frac{7}{\sqrt{50}}\\\\=\frac{112}{2}\\\\\text{Area}\Delta=56 \text{Square Unit}

xz_007 [3.2K]3 years ago
6 0
I hope this helps you

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Answer:

i think it's A

Step-by-step explanation:

5 0
3 years ago
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Which function is a quadratic function? y – 3x2 = 3(x2 + 5) + 1 y2 – 7x = 2(x2 + 6) + 7 y – 2x2 = 6(x3 + 5) – 4 y – 5x = 4(x + 5
Anna71 [15]

Answer:

Option A.

Step-by-step explanation:

The general form of a quadratic function is  

y=ax^2+bx+c

It means, power of y should be 1 and highest power of x should be 2.

In option A,

y-3x^2=3(x^2+5)+1

y-3x^2=3x^2+15+1

y=3x^2+16+3x^2

y=6x^2+16

It is a quadratic function.

In option B,

y^2-7x=2(x^2+6)+7

Here, power of y is 2. So, it is not be a quadratic function.

In option C,

y-2x^2=6(x^3+5)

Here, highest power of x is 3. So, it is not be a quadratic function.

In option D,

y-5x=4(x+5)+9

Here, highest power of x is 1. So, it is not be a quadratic function.

Therefore, the correct option is A.

7 0
3 years ago
In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha
mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0
3 years ago
$2 per movie if he download 5 movies he will get 25% discount how much will Shawn save on the base price if he downloads 5 movie
erik [133]

Answer:

If Shawn downloads a movie at a price of $ 2 each, for five movies he should pay $ 10. A percentage of 25% calculated as a sum is required to pay multiplied by 0.25. If for five downloaded movies there is a discount of 25%, it means that at a price of $ 10 he will have a 25% discount, $ 10x0.25 (25%) and get a discount of $ 2.5. That means he saved $ 2.5 if he bought five movies, and would pay $ 7.5.

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2 years ago
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the
AveGali [126]

The true statement is h(2)=16.

<h3 /><h3>What is domain and range?</h3>

The domain of a function is the set of values that we are allowed to plug into our function. The range of a function is the set of values that the function assumes.

Given:

domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25,

Also, h(8) = 19 and h(-2) = 2,

Now,

2=h(-2)< h(2)<h(8) =19

h(8)=19≠21

h(13)> h(8) =19

h(-3)< h(-2) =2  [1 ≤ h(x) ≤ 25]

Hence, h(2)=16

Learn more about domain and range:

brainly.com/question/23199615

#SPJ1

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2 years ago
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