A right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6). What is the area of the triangle in square units?​

Answers

Answer 1

Answer:

the triangle formed from the coords is 3cm by 9cm so try 3 × 9 = 27 then 27 ÷ 2 = 13.5 from the formula a = ½bh?

Step-by-step explanation:

Answer 2

The area of the triangle is equal to 25√2 square units.

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that a right triangle is formed by connecting coordinates (5, -2), (2, -3), and (-1, 6).

The area will be calculated as,

Side = √ [ ( -3 + 2 )² + ( -2 - 5 )² ]

Side = √ ( 1 + 49)

Side = √50

Base = √ [ ( 6 + 3 )² + ( -1-2)² )

Base = √ ( 81 + 9 )

Base = √100

The area will be calculated as,

Area = (1/2) x B x H

Area = (1/2) x √50 x √100

Area = (1/2) x √50 x 10

Area = 5 x √( 25 x 2 )

Area = 25√2 square units

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Related Questions

Iron Man's arc reactor has a diameter of 71mm. How much of his chest does it cover?

Answers

Answer:

your not in highschool

Step-by-step explanation:

The graph of the function f(x) is shown on the corrdinate plane.

Which value is closest to f^-1(7)?

A-5
B-3
C,3
D, 5

Answers

The closest to the inverse notation is (d) 5

How to determine the closest to the inverse notation

From the question, we have the following parameters that can be used in our computation:

The graph of the function f(x)

The notation f'(7) implies that we determine the inverse of the function

From the graph, we have the following equation

f(5) = 7

This means that

f^-1(7) = 5

Hence, the closest is (d) 5

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Chef Emily has been asked to make 14 dozen cookies for a large party. She needs 1/2 square of chocolate for each dozen. How many whole squares of chocolate does she need to complete this order?

Answers

Answer:

7 squares of chocolate

Step-by-step explanation:

14/2 = 7

The graph of a linear function is shown.
Which word describes the slope of the line?
• positive
• negative
O zero
O undefined

Answers

The slope of the line as shown in the graph of the linear function in the image below is: negative.

What is the Slope of a Line of a Linear Function?

The slope of a line of a linear function = change in y/change in x.

The value of the slope would be positive if the graph increases upwards from your left to your right.

The value of the slope would be negative if the graph decreases downwards from your left to your right.

Thus, the slope of horizontal lines are always zero while the slope of vertical lines are undefined.

Therefore, the slope of the line as shown in the graph of the linear function in the image below is: negative.

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pleaseeee help meeeee​

Answers

Answer:

See explaination and answer below

Step-by-step explanation:

Relationship:

Complementary angles add up to 90 degrees

JKL + MNP = 90

Solve for x:

(2x - 3) + (5x + 2) = 90

7x - 1 = 90

7x = 91

x = 13

Solve for JKL:

JKL = 2x - 3

JKL = 2(13) - 3

JKL = 23 degrees

Solve for MNP:

MNP = 5x + 2

MNP = 5(13) + 2

MNP = 67

Check work:

67 + 23 = 90

Please mark brainliest if this helped!

Please mark brainliest if this helped!

Answer: First you have to know that complementary mean 90*

Step-by-step explanation:(2x-3)+(5x+2)=90

2x - 3 + 5x + 2=90

7x-1=90

7x=90+1

7x=91

x=91/7

x=13

A line that includes the points (-10, 6) and (-9, h) has a slope of -8. What is the value of h?

Answers

H=4
Hope this helps you !!!!

Express 4 hours on seconds and leave answer in standard form

Answers

Answer:

4x60=240minutes

1 minute=60 seconds

Hence, 240 minutes=14400 seconds(240*60)

help help area and perimeter

Answers

Answer:

Perimeter= 49

area= 360

Step-by-step explanation:

perimeter means you need to add 40+9 and area means you must multiple the numbers.

A line's y-intercept is 9, and its slope is 7. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Fè the Ki up li Ki fèt h in

WHAT IS THE SLOPE (NEED HELP DROM A PRO)
WILL MARK BRAINIEST IF ANSWER IS CORRECT AND EXPLAINED WELL

Answers

Hi!

So to find out the slope, we can use the equation change in y value over change in x value -- or vertical change over horizontal change.

Find two points on the graph that line up exactly on the lines of the graph, like (20, 0) and (12, 0).

Then, take the change in y value (20-0 = 20) and divide it by the change in x value (0 - 12) to get -20/12, or -5/3.

Hope this helped!!

The mean temperature for the first 4 days in January was 4°C.

The mean temperature for the first 5 days in January was 5°C.

What was the temperature on the 5th day?

Answers

Answer:

9°C

Step-by-step explanation:

Total temperature= mean * number of days

Total for 4 days=4°C * 4days=16°C

Total for 5 days=5°C * 5days=25°C

Temperature for 5th day =25-16

=9°C

PLEASE HELP WORTH 20 POINTS Find the unknown side of the triangle below.

28.2 m
23.6 m
16.9 m
37.0 m

Answers

the unknown side of the triangle is 37.0 m

Answer:

A: 28.2m

Step-by-step explanation:

I took the quiz

Solve for x ^ 2 - 28x + 98 = 0

Answers

Answer:

Answer:Decimal form-23.89949493 or 4.10050506

Answer:Decimal form-23.89949493 or 4.10050506Exact form-14+7v2 or 14-7v2

Answer:

X=7

Step-by-step explanation:

Khan <3

The volume of a square pyramid with a base length of 12 cm and a height of 10 cm is ___ cubic cm.
480

Answers

Answer:

corrcect

Step-by-step explanation:

Base times Hight

Pls help
Pls help
Pls help

Answers

Answer:

x= 29

Step-by-step explanation:

What is the probability of rolling a 1 and rolling a 6?

1/3 or 1/12?

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

The probability of is rolling a 1 or a 6 on a die is [tex]\frac{1}{3}[/tex].

Step-by-step explanation:

Since there are six sides to a die, and there are two sides that are either 1 or 6, that means the probability of rolling a 1 or 6 is [tex]\frac{2}{6}[/tex] or [tex]\frac{1}{3}[/tex].

A cereal box has a height of 10 inches, a length of 8 inches, and a width of 2 inches. What is the surface area of the cereal box?

Answers

Answer:

232 in^2

Step-by-step explanation:

Using the formula for surface area A=2(wl+hl+hw)

A=2(16+80+20)

A=232

The surface area of the cereal box is 232 square inches

What is the surface area of cuboid?

The surface area of a cuboid is the total area of all its surfaces. Since a cuboid is a three-dimensional solid shape, the value of its surface area depends on the dimensions of its length, width, and height. The change in any of the dimensions of a cuboid changes the value of the surface area of a cuboid. The surface area of a cuboid is expressed in square units.

Total Surface Area of Cuboid

= 2 (length*width + width*height + length*height)

According to the question

A cereal box has a height = 10 inches

A cereal box has a length = 8 inches

A cereal box has a width = 2 inches

Now ,

Applying the formula of Total Surface Area of Cuboid as cereal box is also a cuboid

Total Surface Area of Cuboid

= 2 (length*width + width*height + length*height)

substituting the values

Total Surface Area of Cuboid

= 2 (8*2 + 2*10 + 8*10)

= 2  (16 + 20 + 80)

= 2(116)

= 232 square inches

Hence, the surface area of the cereal box is 232 square inches

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Lisa reads 1/2 of a 200 page book
in 4 days. How many days
would it take Lisa to read a 600
page book?

Answers

Answer: 24 days

Step-by-step explanation:

Takes her 4 days to read 1/2 of a 200 page book, or 100 pages.

4 days = 100 pages

X days = 600 pages

24 days = 600 pages

A and b are positive integers and a-b=2. Evaluate the following:
(27^1/3b)/ ( 9^1/2a)

(this is urgent)

(I have tried 1, 25, and 1/27. None of them are correct)

Answers

Answer:

[tex]\displaystyle\displaystyle \frac{27^{1/3b}}{9^{1/2a}}=\frac{1}{9}[/tex]

Step-by-step explanation:

We are given that a and b are positive integers such that:

[tex]a-b=2[/tex]

And we want to evaluate:

[tex]\displaystyle \frac{27^{1/3b}}{9^{1/2a}}[/tex]

First, note that 27 = 3³ and that 9 = 3². Therefore:

[tex]\displaystyle =\frac{(3^3)^{1/3b}}{(3^2)^{1/2a}}[/tex]

Simplify:

[tex]=\displaystyle \frac{3^b}{3^a}[/tex]

Using the quotient property of exponents:

[tex]=3^{b-a}[/tex]

From our given equation, we can divide both sides by -1 to acquire:

[tex]-a+b=-2\text{ or } b-a=-2[/tex]

Therefore:

[tex]=3^{-2}[/tex]

Hence, our answer is:

[tex]\displaystyle\displaystyle \frac{27^{1/3b}}{9^{1/2a}} =\frac{1}{3^2}=\frac{1}{9}[/tex]

Aiden invested $98,000 in an account paying an interest rate of 2 % compounded
continuously. Autumn invested $98,000 in an account paying an interest rate of 2%
compounded quarterly. After 11 years, how much more money would Autumn have in
her account than Aiden, to the nearest dollar?

Answers

Answer:

Aiden would have $67 more than Autumn.

Step-by-step explanation:

Aiden compounded continuously, which uses the formula: [tex]P(t)=P_oe^r^t[/tex]

Plugging in what we know about Aiden's investment: [tex]P(11)=98000e^0^.^0^2^*^1^1[/tex]

That gives us: 122115.5196

Autumn invested using regular compound interest, which has the formula: [tex]A=P(1+\frac{r}{t})^n^t[/tex]

Since Autumn's investment is getting compounded quarterly, n=4 because it gets compounded 4 times a year.

Plug in Autumn's investment: [tex]A=98000(1+\frac{0.02}{4})^4^*^1^1[/tex]

That gives us: 122048.5974

Now just subtract the two and round to the nearest dollar:

[tex]122115.5196-122048.5974=66.92215187[/tex]

OR

$67. Aiden would have $67 more than Autumn after 11 years.

a rectangular prism has a legth of 8, a width of 3 and a height of 5 what is the surface area

Answers

Answer:

8x3x5=120

Step-by-step explanation:

You have to find your lcm for your answer

If x = 12 units, y = 4 units, and z = 8 units,

Answers

Answer:

24

Step-by-step explanation:

12+4+8= 24

12+12=24

8+4=12

Your answer is 24

All Supermarket slogans should be:
"Shop Here Or Starve"

Answers

Answer:

Lol that would bring all the customers XD

Step-by-step explanation:

Carmen has 75% less money than Anna. How much money does Carmen have if Anna has 256?

Answers

Answer:

$64

Step-by-step explanation:

Solve the following system of equations using the substitution method.
y = -2
4x - 3y = 18
A) (-3,2)
B) (3,-6)
C) (3,6)
D) (3,-2)

Answers

D) (3,-2) is the answer

A park is in the shape of a rectangle 8 miles long and 6 miles wide. What is the diagonal length across the park?

Answers

Answer:

The diagonal length is 10 miles.

Step-by-step explanation:

This is the work of the Pythagorean theorem : [tex]a^{2} + b^{2} = c^{2}[/tex]

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

[tex]8^2 + 6^2 = c^2\\100 = c^2\\10=c[/tex]

Good Luck!!!

Answer:

10 miles

Step-by-step explanation:

pythagoras' Theorem

8^2 + 6^2 = c^2

64 + 36 = 100

c^2 = 100

c = √100

c = 10 miles

Compare the values of the digit 8 in the number 6,084 and in the number 9,821

Answers

Answer:

it's 10 time greater

Step-by-step explanation:

in 6,084 the number 8 is 80

but in 9,821 the number 8 is 10 times greater 6,084

The question is in the png

Answers

Answer:

2 and 4 only

Step-by-step explanation:

hope it helped!!!

Las longitudes que se forman entre los vertices y el centro de un poligono regular son por favor respondan :'c

Answers

Answer:

Las longitudes que se forman entre los vértices y el centro de un polígono regular son;

Los radios del círculo circunscrito

Step-by-step explanation:

Cada círculo de radio, 'r', tiene un polígono que se puede inscribir polígono regular que tiene 'n' lados, donde n ≥ 3 y viceversa, todos los polígonos regulares se pueden inscribir (dibujar) en un círculo, que luego se conoce como la circunferencia del polígono

Dado que un polígono regular se puede inscribir en un círculo, de modo que sus vértices descansen sobre la circunferencia del círculo, entonces el centro del polígono es el centro del círculo que lo circunscribe.

Por lo tanto, las longitudes (iguales) que se forman entre los vértices y el centro del polígono regular son el radio del círculo que lo circunscribe..

37 1/2 of what number is 60

Answers

37.5 is 60% of 62.5#

Explanation:

First, let's call the number we are looking for  

n

.

"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as  

60

100

.

When dealing with percents the word "of" means "times" or "to multiply".

So, putting this all together allows us to write the following equation and solve for  

n

while keeping the equation balanced:

60

100

×

n

=

37.5

100

60

×

60

100

×

n

=

100

60

×

37.5

1

×

n

=

3750

60

n

=

62.5

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