Answer:
We have, from distance formula.
AB² = (5-0)² + (2-6)² = 5² + 4² = 25 + 16 = 41
BC² = (0+5)² + (6+7)² = 5² + 13² = 25 + 169 =194
AC² = (5+5)² + (2+7)² = 10² + 9² = 100+81 = 181
Here, BC² ≠ AB² + AC².
So, the triangle is not a right triangle
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Triangle:
Vertices = A(5, 2), B(0, 6), and C(-5, -7)
The distance between the vertices A and B.
The distance between the vertices B and C.
The distance between the vertices A and C.
The distance between two points of a line is given as:
Distance = [tex]\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}[/tex]
Now,
The distance between the vertices A and B.
= [tex]\sqrt{(0 - 5)^2+(6 - 2)^2}[/tex]
= √(25 + 16)
= √(41
The distance between the vertices B and C.
= [tex]\sqrt{(-5 - 0)^2+(-7 - 6)^2}[/tex]
= √(25 + 169)
= √194
The distance between the vertices A and C.
= [tex]\sqrt{(-5 - 5)^2+(-7 - 2)^2}[/tex]
= √(25 + 81)
= √106
Applying the Pythagorean theorem.
We do not get any possible ways to prove the theorem.
194 = 41 + 106
194 ≠ 147
Thus,
No, the triangle with the vertices A(5,2), B(0,6), and C(-5, - 7) a not right triangle
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ2
3,500 divided by what =70
Answer:
50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
3500 ÷ 70 = 50
3500 ÷ 50 = 70
Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer.
Six-sided polygon that includes two isosceles right triangles, one with height and base of 15 feet, the other height and base of 4 feet, and one rectangle measuring 25 feet by 4 feet.Which of the following best describes an anecdote?
Answer:
25 feet by 4 feet
Step-by-step explanation:
Answer:
This shape is an irregular polygon. This means we have to find the area of the whole shape and then subtract the missing parts to get the correct answer.
First, we have to find the area of the whole shape (a rectangle). The formula for a rectangle's area is:
The length of the shape is 19 ft, and the width is 29 ft. Now, we apply the formula to those numbers:
Now that we know that the area of the whole polygon is 551 square feet, we have to find the area of:
1. The first missing triangle
2. The second missing triangle
3. The missing rectangle
Add all of those areas together, and then subtract them from 551 and we have the answer.
First, we find the area of the missing triangle in the top left hand corner. The area formula for a triangle is
So, we have to find the base and the height. We see that part of the whole polygon's width is 4 ft, which is not missing, so we subtract that from the total width, 19 ft.
This means that the triangle's base is 15 ft. Now, we have to find the height. We can easily see that the height is 15 ft, as it says so in the picture.
Now, we just have to apply the formula:
So, we have our first area, 112 square feet.
Now we have to find the area of the second missing triangle in the bottom right corner.
We know that the base is 4 ft, as it says so in the picture. The height is 24 ft. We know that the total height of the polygon is 29 ft, and we see a shaded part of 25 ft in height. So:
According to this equation, we have 4 ft in height. Using the area formula for triangles, here is our equation:
This equation states that our second area is 8 square feet.
Now, we just have our last area to find, the missing rectangle. According to all of the previous information, and the picture, we see that the width is 15 ft and the height is 14 ft. Now we apply the area formula for rectangles:
Lastly we add up all of our areas: 112.5 square feet, 8 square feet, and 210 square feet.
Then, we subtract 330.5 from 551:
The answer is 220.5
Tips:
1. Refer to the picture
2. the formulas are missing
3. I submitted this on my test and got it right so ya
10 times as much as 3 ten thousands is ________.
Answer:
300,000
Step-by-step explanation:
3 ten thousands = 30,000
30,000 * 10 = 300,000
Hope this helps :)
10 times as much as 3 ten thousand is equal to 300,000.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the number is 10 times as much as 3 ten thousand. The number will be calculated as below:-
3 ten thousands = 30,000
30,000 x 10 = 300,000
Therefore, 10 times as much as 3 ten thousand is equal to 300,000.
To know more about an expression follow
https://brainly.com/question/25301924
#SPJ2
Find the number that makes the ratio equivalent to 3:4
What is 3/6 plus 1/3
Answer:
5/6
Step-by-step explanation:
3/6 + 1/3 = 3/6 + 2/6 = 5/6
Answer:
5/6
Step-by-step explanation:
3/6 + 1/3 = 3/6 + 2/6 = 5/6
Use the elimination method to solve the system of equations.
4x + 3y = 11
x- y = 8
O A. (5.-3)
B. (-3,5)
C. (5, -13)
D. (10,2)
SUBMIT
Help ASAP The ratio of two side lengths for the triangle given.Solve the variable.
Answer:
a = 3
Step-by-step explanation:
AB/AC = 7/8 = 14a/48
7/8 = 14a/48
Multiply both sides by 8.
7 = 14a/6
Multiply both sides by 6 and switch sides.
14a = 42
a = 3
The extended warranty on a ceiling fan is 18% of the purchase price. If the price of the fan is $140, how much is the warranty?
The extended warranty on a ceiling fan is 18% of the purchase price. If the price of the fan is $140, how much is the warranty?
a.
$7.78
b.
$25.20
c.
$18.72
d.
$12.86
Answer:
b.$25.20
Step-by-step explanation:
Calculation for how much is the warranty
Using this formula
Warranty cost=Extended warranty purchase d price percentage*Purchased Price
Let plug in the formula
Warranty cost =18%*$140
Warranty cost =$25.20
Therefore the warranty cost will be $25.20
Answer:
B
Step-by-step explanation:
Mathematical
5. PRACTICE - Model Math Angelina's mother
knits gloves and mittens that are red, blue, green,
or brown. How many different colors of gloves
and mittens can she knit? Explain.
Answer:
She can knit 4 colors
Step-by-step explanation:
you just count the colors lol
Answer:
4
Step-by-step explanation:
Count the colors right...
Water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. Which would not be a proportion you could use to solve for the gallons of water going over the waterfall in 2 2/3 hours? There are multiple answers.
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
First, we need to convert 2 2/3 hours to minutes. This would be:
= 2 2/3 × 60 minutes
= 8/3 × 60 minutes
= 160 minutes
Since water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. The the gallons of water going over the waterfall in 2 2/3 hours would be:
= (162 1/2 × 2 2/3hours) / 15 minutes
= (162 1/2 × 160) / 15
= 1733 1/3 gallon
Answer:
You didn't give the options but let me help out.
First, we need to convert 2 2/3 hours to minutes. This would be:
= 2 2/3 × 60 minutes
= 8/3 × 60 minutes
= 160 minutes
Since water goes over a waterfall at a rate of 162 1/2 gallons every 15 minutes. The the gallons of water going over the waterfall in 2 2/3 hours would be:
= (162 1/2 × 2 2/3hours) / 15 minutes
= (162 1/2 × 160) / 15
= 1733 1/3 gallon
Step-by-step explanation:
Felix chooses a game piece from a bag. This table gives the number of game pieces of each color in the bag. what is the probability that Felix will choose a blue or green piece? Please help me
A. 1/3 | B. 1/4 | C. 1/6 | D.1/2
Color {}{}{}{}{} Number of pieces
______________________
Blue = 2
Green = 2
Red = 3
Yellow = 5
Add the colors together to get total pieces:
2 + 2 + 3 + 5 = 12 total pieces.
Blue and green = 2 + 2 = 4 pieces.
Picking blue of green would be 4/12 which reduces to 1/3
The answer is A. 1/3
If xº is the exterior angle and 70° and 50° are its opposite interior angle of a triangle find X
Answer:
70+50=120
Step-by-step explanation
therefore x=120
A circle has a diameter of 12 cm. Which of these is closest to its circumference?*
A.75 cm
B.452 cm
C.38 cm
D.19 cm
Answer:D 19 cm
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
the exact answer would be 37.7, so it's rounded to 38.
Find the domain of the function f(x)=[tex]\sqrt{x^3-16x}[/tex] . What is the least value of x in the domain?
Least Value=
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=\sqrt{x^3-16x}[/tex]
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.
[tex]x^3-16x\ge 0[/tex]
as x³ - 16x ≥ 0
[tex]\left(x+4\right)\left(x-4\right)\ge \:0[/tex]
Thus, identifying the intervals:
[tex]-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4[/tex]
Thus,
The domain of the function f(x) is:
[tex]x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}[/tex]
And the Least Value of the domain is -4.
In a farm, ratio of number of cows to number of hens is 2:3. If the number of legs is 40 more than number of eyes, total of how many hens are there in the farm?
Answer:
30 hens, 20 cows.
Step-by-step explanation:
Step one:
let the number of cows be x
and the number of hens be y
Each cow has 2 eyes, each hen has 2 eyes also.
the total number of eyes is
2x+2y
Each cow has 4 legs, each hen has 2 legs.
the total number of legs is
4x + 2y
Step two:
the number of legs exceeds the number of eyes by 40:
4x+2y - (2x+2y) = 40
open bracket
4x+2y-2x-2y=40
4x-2x=40
2x=40
Divide both sides by 2
x=40/2
x=20
Step three:
we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30
30 hens, 20 cows.
Check:
60 + 40 eyes = 100, 60 + 80 legs = 140legs.
Plz solve and check thanks
PLEASE HELP!!!!!!!!!!!!!!!!
SHOW YOUR WORK
A recipe for sweet potato pie calls for 3 tsp of cinnamon for every 2 cups of sweet potato. How many cups of sweet potato should you add to 11 tsp of cinnamon? Solve using a proportion, and then choose one other method to check your answer.
Answer:
5 1/2 cups
Step-by-step explanation:
I actually just did this question for someone else.
you have to do 11/2
to check your answer just use the inverse operation and flip it to make it 2x5.5=11
If you eat 5 grapes per minute for 8 minutes, how many grapes will you eat?
Answer:
40 Grapes
Step-by-step explanation:
5x8=40
Answer:
40 grapes
Step-by-step explanation:
5 x 8
or
repeated addition, 5+5+5+5+5+5+5+5
Pleaseeeee I’m so close to passing math
Answer:
5 cents each
Step-by-step explanation:
1.00 $ is equal to 100 pennies, so 100 ÷ 20 is 5, to check 5 cents times 20 is 100 cents or 1.00 $
13 out of 10 of a number is what percentage of that number
In the following equation y = 2x + 3, what value represents the growth?
Group of answer choices
Answer:
isn't it 2x?
Step-by-step explanation:
A random sample of 20 UF students is taken to test UFs claim that 54% of the student population are female.
Which assumptions/conditions that are necessary for the model to be valid are violated, if any?
You didn't give the multiple choice so no one can help you do make sure to include that next time
just helping people get points !!!!!
Step-by-step explanation:
Thanks dude
Have a nice day and great day please
HELP PLSSSSS :((((((
Luis drives 135 miles on Monday and 135 km on Tuesday. How many km did he drive in total?
Use 5 miles = 8 km.
km
Hiked 3 5/6 miles and 2 1/2 miles on Saturday. Hiked 1 1/3 miles on Sunday. How many more miles to hike for a 10 mile hike
Answer:
I dont really know
Step-by-step explanation:
Given that z is a standard normal random variable, find the value of z for each situation. a. The area to the right of z is 0.01.
Answer: =1.34
Step-by-step explanation:
In standard density curve
P(Z<z) = Area left of z, P(Z>z) = area right of z.
P(Z<z) +P(Z>z) =1
Given: z is a standard normal random variable.
To find : value of z if rea to the right of z is 0.01.
i.e. P(Z>z) =0.01
P(Z<z) =1-0.01 = 0.09
from z-score table, z value for this is 1.34.
Hence, z= 1.34
WILL GIVE BRAINLIEST Latoya decides to join a gym for a minimum of one month to train for a triathlon. The gym charges a beginners fee of $100 and a monthly fee of $38. If X represents the number of months that Latoya is a member of the gym, the equation below can be used to determine C, her total membership fee for that duration of time. laToya has allocated a maximum of $404 to spend on her gym membership. Which number line shows the possible number of months that Latoya can be a member of the gym?
Answer:
Is number 4
Step-by-step explanation:
Use the diagram above to answer questions 1-6
Answer:
What is the diagram?
Step-by-step explanation:
Pls can someone send the answer for this
Answer:
a.10
b.10
c.-105
d.92
