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pishuonlain [190]
3 years ago
11

How to solve this equation of the missing sides of the triangle

Mathematics
1 answer:
iris [78.8K]3 years ago
3 0

Step-by-step explanation:

Given is a 45°-45°-90 ° angled triangle.

By 45°-45°-90 ° angled triangle theorem:

side opposite to 45° angle is \frac{1}{\sqrt 2} times of hypotenuse.

\therefore \: 7 =  \frac{1}{ \sqrt{2} }  \times m \\  \\   \huge \red{ \boxed{\therefore \: m \:  = 7 \sqrt{2}  \: units}} \\  \\ n \:  =  \frac{1}{ \sqrt{2} }  \times m \\  \\  \therefore \:n \:  =  \frac{1}{ \sqrt{2} }  \times 7 \sqrt{2} \\ \huge \purple{ \boxed{\therefore \:n \:  =   7 \: units}} \\

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Suppose that y varies inversely with x. Write a function that models the inverse function. X= 15 when y= 2
yulyashka [42]
The answer to this question is B: <span>y = 30/x. I hoped I have helped you today!</span>
3 0
3 years ago
Time to paint the living room. The room measures 20 feet wide by 30 feet long by 12
chubhunter [2.5K]

The cost to paint the walls and the ceiling is $855

<h3></h3><h3>How much will it cost?</h3>

First, we need to find the area that will be painted.

The area of two of the walls is:

A = 20ft*12ft = 240ft²

The area of the other two walls:

A' = 30ft*12ft = 360ft²

The area of the ceiling is:

A'' = 20ft*30ft = 600ft²

We also need to subtract the areas of the two doors and the 4 windows.

Each door is 7ft by 3ft, so the area of each door is:

a = 7ft*3ft = 21ft²

Each window is 4ft by 3ft:

a' = 4ft*3ft = 12ft²

Then the total area that will be painted is:

area = 2A + 2A' + A - 2a - 4a'

area = 2*( 240ft²) + 2*(360ft²) + 600ft² - 2*(21ft²) - 4*(12ft²)

area = 1,710 ft²

We know that we need two coats of paint to cover that area, and the cost per square foot of paint is $0.25, then the total cost is:

C = $0.25*2*(1,710) = $855

The cost to paint the walls and the ceiling is $855

If you want to learn more about areas:

brainly.com/question/24487155

#SPJ1

6 0
2 years ago
a homeowner wants to carpet 2 rooms that each measure 12 feet by 15 feet. how many square yards of carpet should be ordered?
amm1812
12 x 15 = 180

180 x 2 = 360

360 square yards of carpet should be ordered.
4 0
3 years ago
(10 pts) (a) (2 pts) What is the difference between an ordinary differential equation and an initial value problem? (b) (2 pts)
laiz [17]

Answer:

Step-by-step explanation:

(A) The difference between an ordinary differential equation and an initial value problem is that an initial value problem is a differential equation which has condition(s) for optimization, such as a given value of the function at some point in the domain.

(B) The difference between a particular solution and a general solution to an equation is that a particular solution is any specific figure that can satisfy the equation while a general solution is a statement that comprises all particular solutions of the equation.

(C) Example of a second order linear ODE:

M(t)Y"(t) + N(t)Y'(t) + O(t)Y(t) = K(t)

The equation will be homogeneous if K(t)=0 and heterogeneous if K(t)\neq 0

Example of a second order nonlinear ODE:

Y=-3K(Y){2}

(D) Example of a nonlinear fourth order ODE:

K^4(x) - \beta f [x, k(x)] = 0

4 0
3 years ago
The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other
Drupady [299]

Answer:

Height of fir tree = 9 meters

height of pine tree= 12 meters

Step-by-step explanation:

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree

x+y=21

Subtract x from both sides

y=21-x

height of 4 fir trees = pine tree +24

4x=y+24

Substitute 21-x or y in the above equation

4x=21-x+24

Add x on both sides

5x=45

Divide by 5 on both sides

x=9

Now plug in 9 for x and find out y

y=21-x

y=21-9

y=12

Height of fir tree = 9 meters

height of pine tree= 12 meters

4 0
3 years ago
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