The Pythagorean theorem can only be applied to right triangles.
Explanation:The Pythagorean theorem can be applied to right triangles only.
It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
So, while the Pythagorean theorem cannot be applied to every triangle, it can be used to find the length of one side of a right triangle given the lengths of the other two sides.
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Which value is equivalent to 2 x 3 + 4 -
6^2?
A. -26
B. -22
C. -2
D. 10
Number eight, graph each question
Answer:
(1,3)
Step-by-step explanation:
x would be counted as (1,1) therefore, moving 1 number to the right, and 1 number up.
On a coordinate plane, parallelogram A B C D is shown. Point A is at (negative 3, negative 1), point B is at (7, 9), point C is at (8, negative 1), and point D is at (negative 2, negative 11). Create a rectangle around the parallelogram. The dimensions of this rectangle are ____(1). Find the area of the four right triangles surrounding the parallelogram. The total area of the triangles is _____(2) square units. Subtract the triangle areas from the area of the rectangle to obtain the area of the parallelogram. The area of parallelogram ABCD is ______(3) square units.
Answer: HOPE THIS HELPSS!!! please mark me brainliestt
11 by 20
110
110
Answer:
just wanted to say hi
Step-by-step explanation:
Plz give 5 star
Please help!! :) Cant solve it on paper currently since its late and just doing it online.
Answer:
14.4 in
Step-by-step explanation:
Using the formula of the Pythagorean theorem, a² + b² = c², we can find the length of the missing side.
a = 8
b = 12
c = ?
8² + 12² = 208
To get your answer, you must take the square root of 208.
√208 = 14.4222051
Help me please
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Answer:
2
Step-by-step explanation:
The Fundamental theorem of algebra states that a polynomial of degree n has n roots. These can be real or complex.
A quadratic is of degree 2 and has 2 roots.
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Bill is playing a game of chance with the following payout. 30% of the time you will lose 20 dollars, 20% of the time you will lose 40 dollars. 10% of the time you will win 50 dollars, 40% of the time you will win 5 dollars. Find the expected value of the event and explain if Bill should play this game based on the mathematical expectation.
please helpppop asappppp and show work so I understand please
Anybody know this??? please help
Answer:
The expected value of playing the game is -$7.
Bill should not play this game.
Step-by-step explanation:
The probability distribution of gain and loss is as follows:
X P (X)
-$20 0.30
-$40 0.20
$50 0.10
$5 0.40
Total 1.00
The expected value of a probability distribution is given by:
[tex]E(X)=\sum {X\times P(X)}[/tex]
Compute the expected value of playing the game of chance as follows:
[tex]E(X)=\sum {X\times P(X)}[/tex]
[tex]=(-\$20\times 0.30)+(-\$40\times 0.20)+(\$50\times 0.10)+($5\times 0.40)\\\\=-\$6-\$8+\$5+\$2\\\\=-\$7[/tex]
The expected value of playing the game is -$7.
The expected value of the game suggests that Bill will incur a loss of $7 if he plays.
So, it is safe not to play the game.
- Electricity City increases the price of televisions by 25%. If a television now sells for
$425, what was the original price?
Answer:
340
Step-by-step explanation:
Let x = original price
We increase by 25%
x+x*25% = new price
Change to decimal form
x+.25x = new price
Factor out the x
x(1+.25) = new price
x(1.25) = new price
x(1.25) = 425
Divide each side by 1.25
x = 425/1.25
x =340
The original price is 340
Point A is at (-2,-7) and point B is at (7,4).
What is the midpoint of line segment AB?
The coordinates of the midpoint would be (5/2, -3/2) of line segment AB.
What is Midpoint?A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,
M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Coordinates of A are (-2,-7),
Coordinates of B are (7, 4),
M is the midpoint of AB which is given in the question
So the coordinates of M as:
⇒ M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Substitute the values, and we get
⇒ M = ((-2 + 7)/2, ( -7 + 4)/2)
⇒ M = ((5)/2, ( -3)/2)
⇒ M = (5/2, -3/2)
Therefore, the coordinates of the midpoint would be (5/2, -3/2) of line segment AB.
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A town with a population of approximately 20,530 people is planning to build a new park. The town government is trying to find out what entertainment options citizens would prefer the park to include and plans to survey people running the trail in the existing park over a period of a month.
Answer:
Step-by-step explanation:
Which mathematical symbol would best fill in the blank to compare the two real numbers? (4 points) square root of 7 blank 14 over 5 Group of answer choices < > = ≈
Answer is <
Step-by-step explanation:
To compare the square root of 7 and 14 over 5, we find their approximate values. Since 2.65 (root 7) is less than 2.8 (14/5), the correct mathematical symbol to use is <.
Explanation:The question asks us to compare two real numbers: the square root of 7 and 14 over 5. First, we need to estimate these numbers. The square root of 7 is approximately 2.65. 14 divided by 5 equals 2.8. Therefore, we can say that 2.65 is less than 2.8. As such, the mathematical symbol that should be used is < which means 'less than'.
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The floor function maps any number to the greatest integer that is _[blank]_ the number.
Which phrase correctly fills in the blank of the previous statement?
A.) greater than
B.) greater than or equal to
C.) less than or equal to
D.) less than
Answer:
C. Less than or equal to
Step-by-step explanation:
The floor function is a function used to return an integer value that is great than the input number.
More often than not, the input number is a real number.
Take for instance.
Floor(3.2).
Going by the explanation above, the result of this will be 3
How about floor(-3.2)
The result of this will be -4.
This is so because -4 is less than or equal to -3.2.
The floor function maps any number to the greatest integer that is C.) less than or equal to the number.
The floor function maps any number to the greatest integer that is less than or equal to the number. This means that for any real number \( x \), the floor function, denoted as [tex]\( \lfloor x \rfloor \),[/tex] will produce the largest integer that does not exceed \( x \). For example, \( \lfloor 3.7 \rfloor = 3 \) and \( \lfloor -2.3 \rfloor = -3 \).
The floor function is widely used in mathematics and computer science for rounding down numbers to the nearest integer. It is especially useful in discrete mathematics, algorithms, and number theory. When working with the floor function, it is essential to understand that it always rounds down towards negative infinity, not necessarily towards zero. Thus, for any real number \( x \), \( \lfloor x \rfloor \leq x \).
Therefore, the correct phrase to complete the statement about the floor function is:
C.) less than or equal to.
Write 6,020,300 in expanded form.
Answer:
6,000,000 + 20,000 + 300
Step-by-step explanation:
Which equation BEST represents the line of best fit for the scatterplot?
A) y = 3x
B) y = x - 2
C) y = x - 3
D) y = x + 3
i really need help! can someone help me
Answer:
M + $13.72 = $58.22
Step-by-step explanation:
Manny and Sam combined (+) have a total (=) of $58.22
M + S = $58.22
M + $13.72 = $58.22
Answer:
m + $13.72 = $58.22
Step-by-step explanation:
Together they have $58.22.
We know one of them has $13.72, so if we add that to (m) we should get $58.22.
Write an equivalent
expression for
88 + 16x + 8
Answer:
16x + 96
Step-by-step explanation:
You can add 88 + 8 for and get the same answer
Answer: 16x+8+88
Step-by-step explanation:
All you need to do is move around the numbers and then you get the answer
A sphere has a radius of 3 ft. What is the volume of the sphere? Give the exact value in terms of Pi.
Answer: 36π
Step-by-step explanation:
equation
V= 4/3(pi)r^3
Connie collected 50 seashells during her 5-day vacation. Each day she collected 3 more than the previous day. How many seashells did she find each day? PLEASE HELP!
Answer:
The number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively
Step-by-step explanation:
This is a question that deals with consecutive numbers.
Let x represent the number of seashells collected on her first day.
Given that she collected 3 more each day, then
On day 2, she collected x + 3
On day 3, she collected x + 6
On day 4, she collected x + 9
On day 5, she collected x + 12
Adding up the above will give the number of sea shells collected on day 1;
i.e.
x + x + 3 + x + 6 + x + 9 + x + 12 = 50
Collect like terms
x + x + x + x + x + 3 + 6 + 9 + 12 = 50
5x + 30 = 50
5x = 50 - 30
5x = 20
Multiply ⅕ to both sides
⅕ * 5x = ⅕ * 20
x = 4.
This mean that she found 4 seashells on day 1;
Recall that day 2 = x + 3
So, day 2 = 4 + 3 = 7 seashells
day 3 = x + 6
day 3 = 4 + 6 = 10 seashells
day 4 = x + 9
day 4 = 4 + 9 = 13 seashells
day 5 = x + 12
day 5 = 4 + 13 = 16 seashells
Hence, the number of seashells collected on day 1 to day 5 is 4, 7, 10, 13 and 16 respectively
Which number is the additive inverse of -5?
Answer:
It would be 5
Step-by-step explanation:
SO the additive inverse would basically just be the opposite of the number, for example lets say you had 12, the additive inverse would be -12. You're just changing the sign of the number! From what i know i believe that's it. Have a nice day! :D
Drew’s dog weighs 24 lb 5 oz. How many ounces does drew’s dog weigh?
Answer:
Step-by-step explanation:
It weighs 389 pounds so the answer would be C.
Write the following equation in slope-intercept form: 4x – 5y = 15.
Answer:
y = (4/5)x - 3
Step-by-step explanation:
slope intercept form: y = mx + b
Note the equal sign, what you do to one side, you do to the other. First, subtract 4x from both sides:
4x - 5y = 15
4x (-4x) - 5y = 15 (-4x)
-5y = -4x + 15
Next, divide -5 from both sides:
(-5y)/-5 = (-4x + 15)/-5
y = (-4x + 15)/-5
Simplify Divide -5 from all terms within the parenthesis:
y = (4/5)x - 3
y = (4/5)x - 3 is your answer.
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Which of these polygons is not formed by the cross-section created when a plane intersects a cube? Select all that are possible.
square
circle
pentagon
octagon
triangle
rectangle
Answer:
Circle
Octagon
Step-by-step explanation:
There are no curves in a cube to make a circular cross section, and there aren't enough edges to make an octagon (just visualize)
Answer:
A circle is not possible. Neither is a square or a rectangle.
Step-by-step explanation:
What is the simplified expression for the expression below
Solve 2x² -9x-5=0 by factoring. what is the
Solution?
Answer:
0
Step-by-step explanation:
At a certain time of day, the angle of elevation of the sun is 40°. To the nearest foot,find the height of a tree whose shadow is 35 feet long.
18/x=-2
what number does x represent
Answer:
9
Step-by-step explanation:
18/x = 2
or, 18 = 2x
or, 18/2 = x
or, 9 = x
ans ; x = 9
HELP PLEASE WILL MARK BRAINIST
Answer:
i did the math and it should be B. 7 hours
Step-by-step explanation:
Multiply.
Your answer should be a monomial in standard form.
(Y^8)(-2y²) =
[tex]( {y}^{8} )( - 2 {y}^{2} ) = - 2 {y}^{10} [/tex]
To multiply the monomials (Y⁸)(-2y²), add the exponents and multiply the coefficients resulting in -2y¹⁰.
To multiply the given monomials (Y⁸)(-2y²), we use the laws of exponents which state that when multiplying like bases, we add the exponents. The coefficient -2 multiplies by 1 (the implied coefficient of Y⁸) to remain -2. The new exponent for 'y' is the sum of 8 and 2, which is 10. So, the product in standard form is -2y¹⁰.
Step by step solution:
Identify like bases, which in this case is 'y'.Add the exponents of 'y' (8 from Y^8 and 2 from y²) to get a new exponent of 10.Multiply the coefficients (1 and -2) to get -2.Write the final answer combining the new coefficient and the new exponent of 'y': -2y¹⁰.which function will add the same number each time
A linear function adds the same number each time. It has a constant rate of change which means it adds or subtracts a certain amount at each step. An example of this would be the equation y = 3x + 2.
Explanation:The function described in the question which will add the same number each time is called a linear function. In mathematics, a linear function is a function that has a constant rate of change. This means that it adds or subtracts the same amount each time. For example, the equation y = 3x + 2 is a linear function. Every time you increase x by 1, y will increase by 3. Similarly, each time you decrease x by 1, y will decrease by 3. This is because the slope of a linear function is constant, indicating a consistent rate of change.
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Mrs.Brown gives two tests to her class. 30% of the class passed both tests and 45% of the class passed the first test. What percent passed the second test given that they passed the first test?
Answer:
15%
30 percent passed BOTH tests.....Only 15% passed ONLY first test
30/(30+15) = 67% of those who passed the first test ALSO passed the second test.