What is the areas of triangle

Solve, using a picture to assist you. Round to the nearest tenth if necessary.

gayaneshka [121]

Answer:

36.66 ft

Step-by-step explanation: You have to use the pythagorean theorem. a^2 + b^2 = c^2 (if you lean a ladder against a wall, it will make the shape of a triangle) The hypoteneuse would be 40 feet as it is the height of the ladder (the longest side). The one of the legs would be 15 ft (how far it is from the base of the house). You would then just plug the numbers in : a^2 + 15^2 = 40^2

a^2 + 256 = 1600

a^2 = 1344

a = 36.66

8 0

3 years ago

Sonia graphs the equations y = –x2 + 4x and y = x – 4 to solve the equation –x2 + 4x = x –

pshichka [43]

x>=2
https://www.youtube.com/watch?v=wJbQHTNZbHQ
X=2

7 0

3 years ago

Read 2 more answers

The vertices of Figure ABCD are A(1,1), B(2,3) C(4,3) and D(5,1). If Figure ABCD is reflected over the line y = -1, find the coo

Vlad [161]

Answer:

(2, - 5)

Explanation:

The line y = -1 is horizontal: parallel to the y-axis.

The point B (2,3) is above the line y = - 1 at a distance equal to the y-coordinate of B (y = 3) less - 1:

Δy = 3 - ( - 1) = 4

When the point B (2,3) is reflected over the line y = -1, the x-coordinate does not change. The image will be 4 units down the line y = -1, thus the y-coordinate will be - 1 - 4 = - 5.

Hence, the coordinates of the vertex B' are x = 2, y = - 5: (2, - 5).

7 0

3 years ago

Read 2 more answers

Write each complex number in rectangular form.

hram777 [196]

Hello,

A)
cos 135°=- cos 45°=-√2/2
sin 135°=sin45°=√2/2
2(cos 135°+i sin 135°)=-√2 + i*√2

B)
cos 120°=-cos 30°=-√3 /2
sin 120°=sin 30°=1/2

3(cos 120° + i sin 120)=-3/2*√3 +i*3/2

C)
cos (5π/4)=-cos (π/4)=-√2 /2
sin (5π/4)= -sin(π/4)=-√2 /2
5(cos (5π/4)+i sin (5π/4))=-5/2*√2 +i *5/2*√2

D)
cos(5π/3)=cos(π/3)=√3 /2
sin (5π/3)=-sin(π/3)=-1/2

4(cos(5pi/3)+i sin (5pi/3))
=2√3- 2*i

4 0

3 years ago

(1) Define the decision variables (2) Define the objective function in mathematical form: (3) Write the technical constraint fun

alukav5142 [94]

Answer:

Explained and written below.

Step-by-step explanation:

(1) Define the decision variables.

Ans:- A decision variable is a quantity that the decision-maker controls. For Example:- In an optimization model for labor scheduling, the number of nurses to employ during the morning shift in an emergency room may be a Decision variable.

(2) Define the objective function in mathematical form.

Ans:-The objective function is a means to maximize (or minimize) Data. This data is a numeric value: in the real world it could be the cost of a project, a production quantity, profit value, or even materials saved from a streamlined process. With the objective function, you are trying to arrive at a target for output, profit, resource use, etc.

(3) Write the technical constraint functions.

Ans:-A technical constraint Could be anything that limits the deployment of electricity Generation by Heat.There are some technical constraints are specific for device and but not all. It could be anything that programmed to run the devices.

(4) Write the non-negativity constraint.

Ans:- $x\geq 0$ & $y\geq 0$ are the non-negative constraint of linear inequality. These are included because x and y are usually the variables which cannot be negative. It could be zero but not less than 0. Example:- x and y can be number of production done by machine in a month and it can't be negative.

3 0

4 years ago