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3 years ago

Find the length of the third side. If necessary, round to the nearest tenth. 24 14

Mathematics

2 answers:

Genrish500 [490]3 years ago

8 0

Answer:

19.5

Step-by-step explanation:

19.49= 19.5

because of the nearest tenth

Reptile [31]3 years ago

4 0

Answer:

The answer is 19.49

Step-by-step explanation:

Hope this help you

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Nabil is writing a science fiction novel that takes place in another galaxy. In her galaxy, all the planets travel in an ellipti

ASHA 777 [7]

The equation that models the movement of Tanus around Ini, where Ini is located at (0, 0) is x^2/75^2 + y^2/37.5^2 = 1

<h3>Write an equation that models the movement of Tanus around Ini, where Ini is located at (0, 0)</h3>

The given parameters are:

The length of Tanus’ major axis = 150 million miles

The length of its minor axis = 75 million miles

The center of the ellipse = (0, 0) --- the location of Ini

When the coordinate of the center of an ellipse is (0, 0), the standard form of the ellipse is represented as:

x^2/a^2 + y^2/b^2 = 1

Where:

Length of the major axis = 2a

Length of the minor axis = 2b

This means that:

2a = 150 and 2b = 75

Divide both sides of 2a = 150 by 2

a = 75

Divide both sides of 2b = 75 by 2

b = 37.5

Substitute b = 37.5 and a = 75 in the standard form of the ellipse represented as: x^2/a^2 + y^2/b^2 = 1

x^2/75^2 + y^2/37.5^2 = 1

Hence, the equation that models the movement of Tanus around Ini, where Ini is located at (0, 0) is x^2/75^2 + y^2/37.5^2 = 1

Read more about equation of ellipse at:

brainly.com/question/16904744

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3 0

2 years ago

The perimeter of a triangle is 57 centimeters. The longest side is 3 centimeter(s) less than the sum of the other two sides. Tw

Setler79 [48]

Let's say x is longest side, y is shortest side and z is the other side. So we have some equations such that

$x+y+z=57$ (by the first sentence)

$x=(y+z) -3$ (by the second sentence)

$2y=x-15$ (by the third sentence)

By the second equation, we have $y+z=x+3$ and if we use it in the first equation, then $x+y+z=x+(x+3)=57$ . So $x=27$

Since $x=27$ , if we use it in the third equation the we have $2y=x-15=27-15=12$ then $y=6$

Therefore $z=24$

5 0

3 years ago

15. a)

frutty [35]

Answer:

The correct answer is - A)8% B) 3%

Step-by-step explanation:

A) Let assume:

the cost price of the goods - $y.

the selling price of the goods - $x.

Given: The retailer sold at 4% discount, or 0.96x (100% - 4% = 96%). Since the goods were sold to make 20% profit, therefore it was sold for:

1.2y (100% + 20% = 120%).

Solution:

The refrigerator was sold at 13% VAT at Rs. 10848:

then,

=> 1.2y + 13%(1.2y) = 10848

=> 1.2y + 0.156y = 10848

=> 1.356y = 10848

=> y = 8000

Thus, the cp is Rs 8000.

The selling price is:

=> 0.96x = 1.2y

=> 0.96x = 1.2(8000)

=> x = 10000

The sp is Rs. 10000

For a profit of 15%, that is 1.15(8000) = 9200, the discount is:

(1 - discount)10000 = 9200

1 - discount = 0.92

Discount = 1 - 0.92 = 0.08 or 8%

B) Let C & M as cost price & marked price of the scanner machine respectively.

(1 + 20/100)*C = 41400

or (6/5)*C = 41400

or C = (5/6)*41400

= 34500 (Rs)

(1 - 10/100)*(1 + 15/100)*M = 41400

or (9/10)*(23/20)*M = 41400

or M = (10/9)*(20/23)*41400

= 40000 (Rs)

Let R% as the reduction in the percent in discount

(1 - 10/100 + R/100)*(1 + 15/100)*M

= (1 + 20/100 + 4/100)*C

or (9/10 + R/100)*(23/20)*40000

= (31/25)*34500

or 9/10 + R/100

= (20/23)(31/25)*(345/400)

or R/100 = 0.93 - 0.9 = 0.03

or R = 3%

7 0

3 years ago

In factored form please help

Brilliant_brown [7]

Answer:

3rd option

Step-by-step explanation:

$\frac{3x^2-3}{x^2-5x+4}$ ( factorise numerator and denominator )

3x² - 3 ← factor out 3 from each term

= 3(x² - 1²) ← x² - 1 is a difference of squares and factors in general as

a² - b² = (a - b)(a + b)

x² - 1

= x² - 1²

= (x - 1)(x + 1) , then

3x² - 3 = 3²(x - 1)(x + 1) ← in factored form

--------------------------------

x² - 5x + 4

consider the factors of the constant term (+ 4) which sum to give the coefficient of the x- term (- 5)

the factors are - 1 and - 4 , since

- 1 × - 4 = + 4 and - 1 - 4 = - 5 , then

x² - 5x + 4 = (x - 1)(x - 4)

then

$\frac{3x^2-3}{x^2-5x+4}$ = $\frac{3(x-1)(x+1)}{(x-1)(x-4)}$ ← in factored form

3 0

2 years ago

Solve for X <br> Please and thank you

siniylev [52]

Answer:

Step-by-step explanation:

-5<x<4. The 3rd answer.

5 0

3 years ago

Read 2 more answers