A triangle with side lengths 12,16, and 20 is a right triangle.
A right-angled triangle is a triangle with one of the angles at 90 degrees. A 90-degree angle is called a right angle.
The formula states that in a right triangle:
The square of the hypotenuse is equal to the sum of the square of the base and the square of the altitude.
(Hypotenuse)² = (Base)² + (Altitude)²
c²=a²+b²
The three numbers which satisfy the above formula are the Pythagorean triplets
properties of right angle:
The largest angle is always 90º and called the hypotenuse which is always the side opposite to the right angle.
The measurements of the sides follow the Pythagoras rule, which cannot have any obtuse angle.
consider c=20 a=12, b=16 substitute in above formula:
20²=12²+16²
⇒400=144+256
⇒400=400
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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
the answer would end up being: D
At a certain time of day a person 6 ft casts a 4ft shadow. How long is the shadow cast by a 21ft tree at the same time?
Answer:
Designate the unknown shadow length by s. Shadows cast at the same time and place are proportional to the height of the object casing the shadow. Therefore:
4/6 = s/21, or s = [4(21)]/6 = 14 feet.
Points D, B, and E are collinear. Find the value of a so that points A, B, and C
are collinear.
Answer:
Since A, O and B are collinear,
i.e.,
∠
A
O
B
=
180
∘
or,
∠
A
O
D
+
∠
D
O
C
+
∠
B
O
C
=
180
∘
(
x
−
10
)
∘
+
(
4
x
−
25
)
∘
+
(
x
+
5
)
∘
=
180
∘
Or,
x
+
4
x
+
x
−
10
∘
−
25
∘
+
5
∘
=
180
∘
Or,
6
x
−
30
∘
=
180
∘
Or,
6
x
=
180
∘
+
30
∘
=
210
∘
Or,
x
=
210
∘
6
=
35
∘
∠
B
O
C
=
x
+
5
∘
=
35
∘
+
5
∘
=
40
∘
Can someone please help me?
Answer: i think 20
Step-by-step explanation:
SOMEONE HELP ME PLEASE
What is the least common multiple of 4, 9, and 12?
Answer:
36 I think
Step-by-step explanation:
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Answer:
36
Step-by-step explanation:
4 x 9 = 36
9 x 4 = 36
12 x 3 = 36
How to do elimination with 3 variables?
Elimination is a method used to solve systems of linear equations with two or more variables. One possible method to solve a equation with 3 variables using elimination is solving algebraically.
To use elimination to solve a system of equations with three variables, you can follow these steps:
1. Write the system of equations. For example, if you have the equations:
3x + 2y - z = 5
2x - 4y + 2z = 6
5x - 2y + 3z = 10
2. Multiply one of the equations by a scalar (a number) so that one of the variables has opposite coefficients, say y in two of the equations.
3. Next, you can multiply one of the equations by a scalar (a number) so that one of the variables has opposite coefficients, say x in two of the equations.
4. Now substitute this value of z in the first or the second equation to solve for x
5. Now substitute this value of x and z in the second equation or any other equation to solve for y
This is one possible way to use elimination to solve a system of equations with three variables. Depending on the specific problem, there may be different ways to eliminate variables, but the general idea is to use scalar multiplication and addition or subtraction to create a new equation with one variable having the same coefficient but with opposite signs. One can also use Gaussian elimination or matrix inversion method.
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6) What is the Converse of the following
statement: If you do your homework,
then you can go to the movies,
A) If you do your homework, then you can go to the movies.
B) If you don't do your homework, then you can't go to the movies.
C) If you went to the movies, then you did your homework.
D) If you didn't go to the movies, then you didn't do your homework.
uh
Answer:
B) If you don't do you homework, then you can't go to the movies
Aisha has 50 chocolates she fills 3 boxes and has 2 left over How many chocolates does she have left? Write it as an equation
Aisha has 2 chocolates left. You can represent the problem as an equation as follows:
x = 3b + 2Where x is the total number of chocolates, b is the number of boxes filled and 2 is the remaining chocolates left.
Since we know that Aisha has 50 chocolates, we can substitute this value for x in the equation:
50 = 3b + 2
Solving for b, we find that b = 16. So, Aisha filled 16 boxes and had 2 chocolates left over. The equation is true, and Aisha has 2 chocolates left.
It's worth noting that this is a simple algebraic equation, we can use the same equation to find the number of chocolates given the number of boxes and remaining chocolates, or to find the number of boxes given the number of chocolates and remaining chocolates or to find the remaining chocolates given the number of boxes and the number of chocolates.
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Thirty eight students are going on a field trip. Parents will drive. Each car can hold 4 students along with the driver. How many cars will be needed?
Answer: you will need 8 cars. 4 can go into 7 evenly so you will have to left over. So 8 cars will be necessary.
Step-by-step explanation: divide 30 by four which equals 7.5 so we can just round up and say we need 8 cars
To determine how many cars are needed to transport 38 students, we need to divide the total number of students by the number of students that can fit in each car.
According to the problem, each car can hold 4 students and a driver. Therefore, the total number of people that can fit in one car is 4+1 = 5.
To transport 38 students, we need to divide 38 by 4 to find the number of cars needed to transport all the students.
38 ÷ 4 = 9 remainder 2
This means that 9 cars can transport 36 students (9 cars x 4 students per car), but we still have 2 students left.
Therefore, we need an additional car to transport the remaining 2 students.
In total, we need 10 cars to transport all 38 students.
heelllppp please!!!!!!!
Answer:
7.9
Step-by-step explanation:
area of circle equals π× 5 = 15.7
area of half of the circle equals 15.7÷2
=7.85
now round it of and it's 7.9
What is the surface area?
Answer:
148
Step-by-step explanation:
In Duck Creek, a bicycle license plate consists of one letter followed by one digit; for example, $Q7$ or $J1$. How many different license plates are possible
On solving the provided question, we can say that by permutation 26 possible letters x 10 possible digits = 260 possible plates
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of
26 possible letters x 10 possible digits =
26 x 10 =
260 possible plates
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(d) At a football match, there are 29 800 people, correct to the nearest 100. (i) At the end of the football match, the people leave at a rate of 400 people per minute, correct to the nearest 50 people. Calculate the lower bound for the number of minutes it takes for all the people to leave.
The lower bound for the number of minutes that it takes for all people to leave is of:
70 minutes.
How to obtain the lower bound for the number of minutes that it takes for each person to leave?At a football match, there are 29 800 people, correct to the nearest 100. The fewest number of people that can be there, hence, is of:
29,750.
(as 29749 would be rounded to 29,700).
At the end of the football match, the people leave at a rate of 400 people per minute, correct to the nearest 50 people, hence the fastest rate is given as follows:
424 people per minute.
(as 425 people would be rounded to 450).
Hence the time it would take is obtained applying the proportion as follows:
29750/424 = 70 minutes.
(lower bound is fewest time, hence lowest number of people leaving at the fastest rate).
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Which of the following is the graph of f(x)=2(x−4)2−1?
Answer:
there is no graph but it's a positive graph and a few of the points would be (3,-5) (4,-1) (5,3) (6,7)
Step-by-step explanation:
Question 2 (Essay Worth 2 points)
(05.06 HC)
Using f(x) = log x, what is the x-intercept of g(x) = log (x + 4)? Explain your reasoning.
In accordance with comparative comparative, the x-intercept of function g(x) = ㏒ (x + 4) is equal to x = - 4.
How to determine the x-intercept of a logarithmic functionAccording to function theory, a function f(x) has an x-intercept when f(x) exists for x = 0. Besides, logarithms of 1 for any base is equal to zero, that is:
Logarithm of 1 at any base.
㏒ₐ 1 = 0
If ㏒ x = 0, then x = 1. And if ㏒ (x + 4) = 0, then x + 4 = 0, that is, x = - 4.
Then, by direct comparison between the two logarithmic expression, the logarithmic function g(x) = ㏒ (x + 4) has x = - 4 as its x-intercept.
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If f(x)= x² (x≠2), then lim f(x) =4? Can I think of this as ignoring the x≠2 rule?
x→2
Answer: No, the statement "if f(x)= x² (x≠2), then lim f(x) =4" is not correct. The limit of a function is a value that the function approaches as the input (in this case, x) gets closer and closer to some specific number. In this case, the limit of f(x) as x approaches 2 would be 4, since f(x)=x² for all values of x other than 2. However, if you ignore the x≠2 restriction and consider all values of x, then the limit of f(x) as x approaches 2 would be undefined, since f(x)=4 for x=2.
Step-by-step explanation:
Please help !!!!!!!!!!!
Answer:
84
Step-by-step explanation:
6×6 is 36, and there are two of these squares so the area of the squares together is 72. 3×4 is 12 and 72+12 is 84. Hope this helps :)
Is √12 • √12 rational or Irrational?
======================================================
Reasoning:
Apply the rule that [tex]\sqrt{x}*\sqrt{x} = \left(\sqrt{x})^2 = x[/tex]
The squaring operation and square root operation cancel each other out. This is because they are inverses of one another.
For example, 7^2 = 49, and the square root of this leads back to 7.
Going back to the problem at hand, we can say, [tex]\sqrt{12}*\sqrt{12} = 12[/tex]
Then we can write that '12' at the end as 12/1. This is a ratio or fraction of integers, which makes the number rational.
Any rational number is of the form a/b, where a,b are integers and b is nonzero.
Gordon thought there would be 54
guests attending the event, but there
were actually 61. What was his percent
error?
40 points
What is the slope of the line through (4-5) and (-2,1)
Answer:
slope = -1
Step-by-step explanation:
y2-y1 / x2-x1=
1+5 / -2-4 = 6/-6
M = -1
Express √75 in basic form
Answer:
[tex]5 \sqrt{3} [/tex]
Step-by-step explanation:
Frist find which perfect square goes into 75. In this case its 25 * 3. You then find out what is the square root of 25. Which is 5. you put that number outside the radical and the other number inside the radical. resulting in 5 square roots of 3.
Answer: Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact Form:
5√3
Decimal Form:
8.66025403…
Write the equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5).
Answer:
y= -1/2x-5
Step-by-step explanation:
The reciprocal of 2 is -1/2, and the y-intercept given is -5. Given those, the equation is y= -1/2x - 5
The equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5) = 2y = -x -8
What is an Equation of a line?The equation of line is an algebraic form of representing the set of points.
Given that a line is perpendicular to line, y = 2x -5 and passes through (2,-5)
Equation of a line = y = mx + c, where m is the slope
y = 2x - 5, slope of this line is 2
Slope of two perpendicular lines are negative reciprocal of each other.
Therefore, slope of other line is -1/2
Equation will be y = -1/2 x + c
This above line passes through (2,-5)
-5 = -1/2*2 + c
c = -4
Hence, the equation of a line perpendicular to y=2x-5y=2x−5 that passes through the point (2, -5).
y = -x/2 -4
2y = -x -8
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sydney is selling is comic book selection on the internet the scatter plot
What is the question please?
Please help!!!! How do you write 0.0174 in scientific notation?
Answer:
1.74*10^-2
Step-by-step explanation:
use as decimal with ones place times 10 to the powe of minus something
Adrian drives 14 miles east on Broadmoor and 10 mies south on 5th street each day to get to work. Find the number miles Adrian would drive if he took the diagonal path along Skyline Drive instead? NO LINKS!!!
Answer:
just add all the numbers
Step-by-step explanation:
please follow me,
follow you back...
Answer:
The answers is 17.2 miles
Step-by-step explanation:
Kyle puts all of his craft beads into a bag. Exactly 1/3 of the beads are blue and 5/16 are red. What is the unit rate of blue beads to red beads in Kyle's bag?
The unit rate of blue beads to red beads in Kyle's bag is 1(1/15).
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Blue beads = 1/3
Red beads = 5/16
The unit rate of blue beads to red beads.
= 1/3 ÷ 5/16
= 1/3 x 16/5
= 16/15
= (16/15) / 1
= 1(1/15) / 1
Thus,
The unit rate is 1(1/15).
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Angle AOB is a central angle with a measure of 110 degrees.
What is the measure of its arc AB?
The most accurate value for AB is 37.699111843077516 (approximately)
How to measure arc?The measure of an arc is directly related to the measure of the central angle that intercepts it. The measure of an arc is equal to the measure of its central angle, multiplied by the radius and divided by the degree of the circle.
Since, radius is not given let's assume it 20.
In this case, the central angle AOB has a measure of 110 degrees, and the radius of the circle is 20. Therefore, the measure of the arc AB is:
AB = (110/360) * 20 * 2 * π
or
AB = (110/360) * 20 * π
where π is the mathematical constant (approximately equal to 3.14).
So, the measure of the arc AB is (110/360) times the circumference of the circle, or (110/360) of the total length of the circumference.
The most accurate value for AB is 37.699111843077516 (approximately)
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This one is division
Answer:
yesjsjsjsjsjsjsjsjdjsj
Karen used a fork that had a mass of about 28 ?
A)grams
B)kilograms
Answer:
is A
Step-by-step explanation:
I hope and this helps you
I rly rly rly rly rly rly rly rly rly rly rly need help for sum reason
Answer:
6*5=30 units
Step-by-step explanation:
Brainliest?