The triangle with side lengths of 57 yards, 74 yards, and 95 yards is not a right triangle because it does not obey Pythagoras theorem.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Pythagoras theorem shows the relationship between sides of a right triangle. It states that for a right angled triangle:
Hypotenuse² = Leg1² + Leg2²
To prove that a triangle with side lengths of 57 yards, 74 yards, and 95 yards is a right triangle:
95² = 74² + 57²
9025 = 5476 + 3249
9025 ≠ 8725
The triangle with side lengths of 57 yards, 74 yards, and 95 yards is not a right triangle because it does not obey Pythagoras theorem.
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-1 3/4 is it more or less 3/4
Answer:
Less
Step-by-step explanation:
Because every negative number is smaller than any positive number
On a merry-go-round, you stand 15 feet from the center while your friend stands 10 feet from the center. How would you find how much further you travel in one revolution than your friend? What is that distance?
Answer:
Revolution traveled by me = 30π ft.
Revolution traveled by my friend = 20π ft.
Difference between revolutions = 10π ft.
Step-by-step explanation:
In one revolution, I travel 2π(15) = 30π ft., and my friend travels 2π(10) = 20π ft., so my revolution is 30π - 20π, or 10π, ft. longer than my friend's revolution.
A group of friends were working on a student film that had a budget of $900. They used 53% of their budget on equipment. How much money did they spend on equipment?
The $53 money they spend on equipment if the group of friends was working on a student film that had a budget of $900. They used 53% of their budget on equipment.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
A group of friends was working on a student film that had a budget of $900. They used 53% of their budget on equipment.
The money spend on equipment = 53% of $900
The money spend on equipment = (53/100)900
= 0.53x100
= $53
Thus, the $53 money they spend on equipment if the group of friends was working on a student film that had a budget of $900. They used 53% of their budget on equipment.
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2 prime numbers added together to get 30
Answer:
7 and 23 or 11 and 19
Step-by-step explanation:
First, let's determine the prime numbers between 1 and 30.
2, 3, 5, 7, 11, 13, 17, 19, 23, and 29 are all the prime numbers between 1 and 30.
We can now see that 7 and 23 add up to 30.
But 11 and 19 also works.
Hope this helped!!
pls answer quick thanks
Answer:
the answer is g= 1/3x - 2/3
pls check photo thanks!
The value of x is -3 and the property used in this is (-) / (-) = (+)
According to the question the expression that we have given is
6 - 4x = 18
We will solve this equation step by step that is
First we will subtract 6 both sides of the equation,
6 - 6 - 4x = 18 - 6
-4x = 12
Now we will divide -4 on both side of the equation we get
-4x/-4 = 12/-4 [As (-) / (-) = (+) ]
x = -3
Hence the value of x is -3 and the property that we have used is that
(-) / (-) = (+)
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Find the inverse of each function. Is the inverse a function?
f(x)=(x+1)²
In mathematics, an inverse function is one that "reverses" another function. The inverse of the function f(x) = (x+1)² is √x−1.
What is meant by inverse function?The inverse function of a function f in mathematics exists a function that reverses the operation of f. If the inverse of f exists, it is shown by the f⁻¹. The inverse of f exists if and only if f is bijective.
An inverse in mathematics is a function that "undoes" another function. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f ⁻¹.
If we restrict the domain to [−1,∞), then this new function has an inverse:
g(x) = (x+1)² with x ≥ −1
y = (x+1)²
if and only if
x+1 = √y (We do not need ±√y because of the restriction on x.)
x = √y−1
g−1(x) = −√x−1
If we restrict the domain to (−∞, −1], we get
h(x) = (x+1)² with x≤−1
y = (x+1)²
if and only if
x+1 = −√y (We need only −√y because of the restriction on x.)
x = −√y−1
h − 1(x) = √x−1
The inverse of the function f(x) = (x+1)² is √x−1.
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Please solve thanks!!
The function according to the rigid transformation g(k + 3) = - 4 · f(k + 3), where f(x) = x² - x - 1, is equal to the quadratic equation g(k + 3) = - 4 · k² - 20 · k - 44.
How to evaluate a quadratic equation
In this problem we find the definition of a quadratic equation and besides we are asked to find the result of horizontal translation, a reflection about the x-axis and a dilation, all of them rigid transformations. In other words, we must look for the resulting expression according to this definition:
g(k + 3) = - 4 · f(k + 3)
g(k + 3) = - 4 · [(k + 3)² - (k + 3) - 1]
g(k + 3) = - 4 · [(k² + 6 · k + 9) - (k + 3) - 1]
g(k + 3) = - 4 · (k² + 5 · k + 11)
g(k + 3) = - 4 · k² - 20 · k - 44
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PLEASE HELP!!!!!
At the scene of a traffic accident, a police investigator must determine the speed of both vehicles. The investigator uses the formula s=2 square root 51 where s represents speed, measured in miles per hour, and l represents the length of the skid marks, measured in feet. Approximately how long are the skid marks of the car that is going 65 miles per hour?
The length of skid marks of a car that is going 65 miles per hour is approximately equal to 211 feet.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In this scenario, the formula (expression) which is being used by this investigator is given by:
S = 2√(5L)
Where:
S represents speed, measured in miles per hour.L represents the length of the skid marks, measured in feet.Making L the subject of formula, we have:
S²/4 = 5L
L = S²/20
Substituting the given parameters into the formula, we have;
L = 65²/20
L = 4,225/20
Length of skid marks, L = 211.25 ≈ 211 feet.
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1¼ x 3.14 x 3¾ to the second power
The expression to the second power is simplified to 216. 64
What are fractions?Fractions are simply defined as part of a whole.
There are several types of fractions which include;
Mixed fractionsSimple fractionsProper fractionsImproper fractionsComplex fractionsGiven the expression;
1¼ x 3.14 x 3¾
Let's convert the mixed fractions to improper fractions, the steps are;
Multiply the denominator and the whole numberAdd the number determined with the numeratorDivide the value by the denominatorWe have;
5/4 × 3. 14 × 15/ 4
Multiply through
235. 5/ 16
Find the quotient
14. 72
To the second power, we have
(14. 72)²
216. 64
Thus, the expression to the second power is simplified to 216. 64
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I do not understand this please help
Answer:
9 edges. All triangular prisms have 9 edges.5 faces. 2 identical faces and 3 rectangular faces.12 edges. A cuboid/rectangular prism has 12 edges.Hope this helps!
What is the decimal equivalent of 5/4
The answer to your question is 1.25
The head of a grasshopper is 2 centimeters long. The rest of the grasshopper's
body is 7 centimeters long. What is the total length of the grasshopper?
Answer:9 cm long
Step-by-step explanation:
7 + 2 = 9
so that will be the total
please help as soon as possible
The value of g (7) is 16.
What is Piecewise function?
A piecewise function is a function which built from pieces of different functions over different intervals.
The given function is;
g (x) = x² - 5 , x ∈ (-∞, -7)
= 9x - 17 , x ∈ [-7, 2]
= (x + 1) (x - 5) , x ∈ (2, ∞)
Now, Find the value of g (7) as;
Since, Number 7 is belong in interval (2, ∞).
Hence, To find the value of g (7) we use the function,
g (x) = (x + 1) (x - 5) , x ∈ (2, ∞)
Substitute x = 7 we get;
g (x) = (7 + 1) (7 - 5)
g (7) = 8 * 2
g (7) = 16
Hence, The value of g (7) is 16.
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the perimiter of the rectangle below is 42 inches. find the value of x 5x x-3
The value of x is 4 units ,the Length is 20 units width is 1 units.
What is rectangle?A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.
Given:
The perimeter of the rectangle=42 inches
length= 5x
width= (x-3)
According to given question we have
We know that
perimeter of rectangle is sum of all sides
42 = 5x + 5x + ( x - 3 ) + ( x - 3 )
42 = 12x - 6
48 = 12x
x = 4
Length= 5*4=20 units
width= 4-3=1 units
Therefore, the value of x is 4 units ,the Length is 20 units width is 1 units.
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P=4x4x6
P=4x (6+4)
re to search
A rectangle has a length of 6 feet and a width of 4 feet. The perimeter of the rectangle
can be found using the equation P=2x6+2x4. Which equation can also be
used to find the perimeter of the rectangle?
Answer: The equation can also be used to find the perimeter of the rectangle P = 4 × ( l + w).
Step-by-step explanation:
Given data,
A rectangle has a length of 6 feet and a width of 4 feet.
The perimeter of the rectangle can be found using the equation =2×6+2×4.
P = 2×6+2×4
Let l be the length and w be the width of a rectangle.
Since there four sides of a rectangle, the perimeter is given by adding all the sides.
Therefore perimeter of the rectangle is given by
= l + l + b + b
= 2×l +2×w
= 2 × ( l + w).
The equation given by 2 × ( l + w) can also be used to find the perimeter of any given rectangle.
We can use,
P = 4x4x6
Therefore perimeter of the rectangle is given by
= l + l + b + b
= 4×l +4×w
= 4 × ( l + w).
substitute l and w values,
Then,
= 4 × ( l + w)
P = 4 × ( 6 + 4).
The equation given by 4 × ( l + w) can also be used to find the perimeter of any given rectangle.
Therefore,
The equation can also be used to find the perimeter of the rectangle P = 4 × ( l + w).
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At a little-known vacation spot, taxi fares are a bargain. A 18-mile taxi ride takes 24 minutes and costs $7.20. You want to find the cost of a 34-mile taxi ride. What unit price do you need?
The unit price is $2.5
34 mile taxi ride will cost $85
How to calculate the unit price ?18 mile taxi ride costs $7.20
The cost of 1 mile is
= 18/7.20
= 2.5
The unit price is $2.5 for 1 mile
The cost of 34 mile taxi ride can be calculated as follows
= 2.5 × 34
= 85
Hence the 34 mile taxi ride will cost $85
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Add or subtract if possible. 3√20x + 8√45x -4√5x
The subtraction of the expression 10√27 - 4√12 is 22√3.
Combining things and counting them as one big group is done through addition. In math, addition is the process of adding two or more integers together.
In mathematics, subtraction involves removing anything from a group or a number of objects. What is left in the group gets smaller when you subtract.
Consider the expression,
y = 3√20x + 8√45x - 4√5x
Now, the number in the root can also be written as:
20 = 2 × 2 × 5
45 = 5 × 3 × 3
Therefore,
y = 3√20x + 8√45x - 4√5x
y = 3( √[2 × 2 × 5] )x + 8( √[5 × 3 × 3] )x - 4√5x
y = 3 × 2√5x + 8 × 3√5x - 4√5x
y = √5x ( 3 × 2 + 8 × 3 - 4 )
y = √5x ( 6 + 24 - 4 )
y = 26√5x
The value of the expression 3√20x + 8√45x -4√5x is 26√5x.
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Someone help me with factors
Answer:
A 30 is 5
B 12 is 4
C 26 is 13
D 36 is 2
Step-by-step explanation:
that is all i know
Geometry proofs and logics
1: The 4 angles caused by perpendicular lines are right angles
Write this in a if then statement. note:( For this one i wrote that "If the 4 angles are right angles, then the lines are perpendicular". "The other option was that, "If the lines are perpendicular, then the 4 angles are right angles." )
2: Two statements are given
1: The product of two 2-digit numbers is always a 4-digit number. Is this inductive or deductive? Why?
2: Florida requires all lawyers to pass the bar exam to practice law. If mark does not pass the bar, then he will not legally be able to represent clients as their lawyer. Is this inductive or deductive reasoning? Why?
The logic statements can be expressed and put into categories as follows;
1. If two lines are perpendicular, then the four angles caused by them are right angles
2: 1. Inductive
2. Deductive reasoning
How can the statements be expressed and evaluated?
1. If two lines are perpendicular, then the four angles caused by them are right angles.
Two lines are perpendicular when the angles formed by them are right angles.
The vertically opposite angles formed by intersecting lines have equal measure, and linear pair angles are supplementary, therefore;
If one of the angles formed by intersecting lines is known to be 90°, the vertical and adjacent angles are also 90°, and by the sum of angles at a point property, the remaining angle is also, 90°, which indicates that all the angles formed are right angles (90°).
An If, Then statement is therefore;
If two lines are perpendicular, then the four angles caused by them are right angles2. Inductive reasoning is the logic approach of making general conclusion from specific observations.
Deductive reasoning is an approach where general ideas are used to arrive at particular conclusions.
1. The statement, the product of two 2–digit numbers is always a 4–digit number, draws a general conclusion about the result of multiplying two 2–digit numbers, therefore;
The statement uses inductive reasoning2. The statements, Florida requires all lawyers to pass the Bar Exam to practice law.
If Mark does not pass the bar then he would not legally be able to represent clients as their lawyer.
The above statement makes deductions from the general statement on the rules of law practice in Florida.
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Ari and Jeremiah both work at vet clinics. Ari gets paid $8.50 per hour. Jere works at another vet clinic getting paid $6.50 per hour plus $15 for dog walking. Write an equation for the number of hours, h, that Ari and Jere would need to work to earn the same amount of money in a week
Answer:
[tex]8.50h = 6.50h + 15[/tex]
After 15 years, Salma will be four times as old as she is now.
Answer:
x+15 = 4x
3x = 15
x = 5
Therefore her present age is 5 years
Step-by-step explanation:
hope this helps! <3
Answer:
4
Step-by-step explanation:
I am hoping Someone can Help me. I have been stuck on this for a while
Knowing that segment BD is of length 26, and C is the midpoint then BC is half of BD. The value of x is solved to be 11/3
How to find x in the equation BC = 6x - 9Given data
length of segment BD = 26
C midpoint of BD
BC = 6x - 9
If C midpoint of BD, then BC is half of BD. This is shown mathematically as
BC = 1/2 * BD
BC = 1/2 * 26
BC = 13
substituting BC = 13 into BC = 6x - 9, we have
BC = 6x - 9
13 = 6x - 9
13 + 9 = 6x
6x = 22
x = 22/6
x = 11/3 in fraction
x = 3.6667 in decimal notation.
Hence we can say that the value of x in the equation is 11/3
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extract square roots
x2 = 16
r2 - 100 = 0
2s2 = 50
(k - 4)2 = 169
(2s - 1)2 - 225 = 0
Solve each equation. If necessary, round to the nearest ten-thousandth. 4³x=77.2
The solution of the given equation by rounding off it to the nearest ten-thousandth is 1.2063.
What is a round-off of the digit?
In mathematics, a round-off is defined as an approximation of the given number to a fewer number of significant digits by taking into consideration some rules.
For eg: 13.58 ~ 13.6
Solving the given equation: 4³x=77.2
We are given that 4³x = 77.2 —- 1
We know that 4³ = 64
Using in equation 1, we have,
64x = 77.2
x = 77.2 / 64
= 1.20625
Hence, the solution of the given equation rounded off to the nearest ten-thousandth is 1.2063.
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need help to find equations that solve -1/2.
Three equations with a solution of -1/2 are given as follows:
5x + 3 = 7x + 4.6x + 4 = 8x + 5.7x + 5 = 9x + 6.What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
One example of a system of equations is when two equations are equaled, as is the case for this problem:
ax + b = cx + d.
We want solution of -1/2, hence:
x = -1/2
(a - c)x = d - b.
Thus:
a - c = -2. -> c = a + 2.d - b = 1. -> d = b + 1.Then three possible cases are given as follows:
a = 5, c = 7, b = 3, d = 4: 5x + 3 = 7x + 4.a = 6, c = 8, b = 4, d = 5: 6x + 4 = 8x + 5.a = 7, c = 9, b = 5, d = 6: 7x + 5 = 9x + 6.More can be learned about a system of equations at https://brainly.com/question/24342899
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Judd owns 510 acres of land. He wants to divided the land into 15 equal parts. how large will each part be??
Answer:
34 acres
Step-by-step explanation:
510 divided by 15 is 34
your welcome :)
Answer:
34
Step-by-step explanation:
510/15=34
If 510 acres of land was divided into 15 equal parts, each part would be 34 acres.
Hope this helps!
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A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, two and one, zero.
A coordinate plane. The x- and y-axes each scale by one. A graph of a line intersects the points zero, two and one, zero.
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
I'm just good like that
A bicyclist brakes from 21 m/s to stop in 32.3 m. what is the acceleration of the bicyclist
The acceleration of the bicyclist is 6.83 m/s².
The given parameters;
Initial velocity of the bicycle (u) = 21 m/s
Distance travel by the bicycle (s) = 32.3 m
We have to find the acceleration of the bicyclist.
How to calculate the acceleration?
If the initial velocity is u, final velocity is v and distance travel by object is s then we can calculate acceleration as;
v² = u² + 2as
Initial velocity of the bicycle (u) = 21 m/s
Distance travel by the bicycle (s) = 32.3 m
Final velocity of the bicycle (v) = 0
Hence, The acceleration of the bicycle is calculated as follows;
v² = u² + 2as
Where, v is the final velocity of the bicycle.
0 = u² + 2as
2as = - u²
a = - u²/2s
a = - (21)²/2*32.3
a = - (21)²/64.6
a = -441/64.6
a = -6.83
| a | = 6.83 m/s²
The acceleration of the bicyclist is 6.83 m/s².
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MT. Mc Kinley is the highest mountain peak in North America with in Ellevation of 20,320 feet what is the value of the digit three in 20,320
The value of the digit three in 20,320 is three hundred. This is the place value.
How to illustrate the information?It should be noted that a place value simply means the value that's represented by the digits that are written in a number.
In this case, MT. Mc Kinley is the highest mountain peak in North America with in Ellevation of 20,320 feet.
The value of the digit three in 20,320 is three hundred.
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