Mathematics, 04.09.2019 03:30 cedarclark9534

Plot each point and form the triangle abc. verify that the triangle is a right triangle. find the area. a=(-5,3); b= ((6,0); c= (5,5) a=(4,-3); b=(4,1); c=(2,1)

Answers: 1

Show answers

Answers

Answer from: AlwaysMarcus5577

1) It is a right triangle.

$Area=25.93\ units^2$

2) It is a right triangle.

$Area=4\ units^2$

The points of each triangle are plotted in the images attached.

Step-by-step explanation:

1) The points A=(-5,3); B= ((6,0); C= (5,5) are plotted in the first image attached.

Knowing the points of the triangle, you can find the slope of and with this formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Then:

$m_{AC}=\frac{5-3}{5-(-5)}=\frac{2}{10}=\frac{1}{5}$

$m_{BC}=\frac{5-0}{5-6}=\frac{5}{-1}=-5$

Since the slopes of the sides and are negative reciprocals, they are perpendicular; therefore IT IS A RIGHT TRIANGLE.

Find the length of and in order to calculate the area of the triangle:

$AC=\sqrt{(-5-5)^2+(3-5)^2}=10.19\ units\\\\BC=\sqrt{(5-6)^2+(5-0)^2}=5.09\ units$

The area is:

$A=\frac{AC*BC}{2}=\frac{(10.19\ units)(5.09\ units)}{2}=25.93\ units^2$

2) The points A=(4,-3); B=(4,1); C=(2,1) are plotted in the second image attached.

By definition horizontal and vertical lines are perpendicular, therefore IT IS A RIGHT TRIANGLE.

You can observe in the figure that the lenghts of the sides and are:

$AB=4\ units$

$BC=2\ units$

Therefore, the area is:

$A=\frac{AB*BC}{2}=\frac{(4\ units)(2\ units)}{2}=4\ units^2$

Plot each point and form the triangle abc. verify that the triangle is a right triangle. find the ar

Answer from: Quest

answer: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

step-by-step explanation: if you weigh 60 pounds on earth, on the moon you will weigh about 10 pounds. if you weigh 120 pounds on earth, you will weigh about 20 pounds on the moon. since weight is caused by the mass of two objects that are near each other, the bigger the objects, the more the force of gravity.

Answer from: Quest

30 miles

step-by-step explanation:

we know that 60 seconds equals 1 minute and 60 minutes 1 hour

44 ft 60 sec 60 min 158400 ft

* * =

1 sec 1 min 1 hour hour

we know that there are 5280 ft per mile

158400 ft 1 mile 30 miles

* =

1 hour 5280 ft 1 hour

so in 1 hour it can travel 30 miles

Another question on Mathematics

Mathematics, 21.06.2019 16:40

Which data set has a greater spread? why? set a: {38, 12, 23, 48, 55, 16, 18} set b: {44, 13, 24, 12, 56} has a greater spread because .

Answers: 2

Answer

Mathematics, 21.06.2019 18:30

Can someone check if i did this right since i really want to make sure it’s correct. if you do you so much

Answers: 2

Answer

Mathematics, 21.06.2019 19:20

The fraction of defective integrated circuits produced in a photolithography process is being studied. a random sample of 300 circuits is tested, revealing 17 defectives. (a) calculate a 95% two-sided confidence interval on the fraction of defective circuits produced by this particular tool. round the answers to 4 decimal places. less-than-or-equal-to p less-than-or-equal-to (b) calculate a 95% upper confidence bound on the fraction of defective circuits. round the answer to 4 decimal places. p less-than-or-equal-to

Answers: 3

Answer

Mathematics, 21.06.2019 20:20

Sample response: if the graph passes the horizontaline test, then the function is one to one. functions that are one to one have inverses that a therefore, the inverse is a hinction compare your response to the sample response above. what did you include in your explanation? a reference to the horizontal-line test d a statement that the function is one-to-one the conclusion that the inverse is a function done

Answers: 2

Answer

You know the right answer?

Plot each point and form the triangle abc. verify that the triangle is a right triangle. find the ar...

Questions