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:
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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Compare the values of the digit 8 in the number 6,084 and in the number 9,821
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
Carmen has 75% less money than Anna. How much money does Carmen have if Anna has 256?
Answer:
$64
Step-by-step explanation:
A park is in the shape of a rectangle 8 miles long and 6 miles wide. What is the diagonal length across the park?
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
Iron Man's arc reactor has a diameter of 71mm. How much of his chest does it cover?
Answer:
your not in highschool
Step-by-step explanation:
37 1/2 of what number is 60
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
If x = 12 units, y = 4 units, and z = 8 units,
Answer:
24
Step-by-step explanation:
12+4+8= 24
12+12=24
8+4=12
Your answer is 24
Pls help
Pls help
Pls help
Answer:
x= 29
Step-by-step explanation:
The question is in the png
Answer:
2 and 4 only
Step-by-step explanation:
hope it helped!!!
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.
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?
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
The volume of a square pyramid with a base length of 12 cm and a height of 10 cm is ___ cubic cm.
480
Answer:
corrcect
Step-by-step explanation:
Base times Hight
help help area and perimeter
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.
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?
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
Solve for x ^ 2 - 28x + 98 = 0
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
Las longitudes que se forman entre los vertices y el centro de un poligono regular son por favor respondan :'c
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..
WHAT IS THE SLOPE (NEED HELP DROM A PRO)
WILL MARK BRAINIEST IF ANSWER IS CORRECT AND EXPLAINED WELL
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!!
A line that includes the points (-10, 6) and (-9, h) has a slope of -8. What is the value of h?
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
Answer:
A: 28.2m
Step-by-step explanation:
I took the quiz
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?
Answer:
7 squares of chocolate
Step-by-step explanation:
14/2 = 7
pleaseeee help meeeee
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 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)
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]
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
The closest to the inverse notation is (d) 5
How to determine the closest to the inverse notationFrom 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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All Supermarket slogans should be:
"Shop Here Or Starve"
Answer:
Lol that would bring all the customers XD
Step-by-step explanation:
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?
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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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)
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?
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.
The graph of a linear function is shown.
Which word describes the slope of the line?
• positive
• negative
O zero
O undefined
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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a rectangular prism has a legth of 8, a width of 3 and a height of 5 what is the surface area
Answer:
8x3x5=120
Step-by-step explanation:
You have to find your lcm for your answer
Express 4 hours on seconds and leave answer in standard form
Answer:
4x60=240minutes
1 minute=60 seconds
Hence, 240 minutes=14400 seconds(240*60)
What is the probability of rolling a 1 and rolling a 6?
1/3 or 1/12?
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].