Answer:
A. Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B.
Step-by-step explanation:
edge2021
The description of Thomas is correct. AC is opposite ∠B and BC is adjacent to ∠B.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
Hypotenuse of a right angled triangle is the longest side.
Opposite side with respect to an angle is the side opposite to that angle.
Adjacent side with respect to an angle is the side which is adjacent to the angle.
Given is a triangle ABC.
Here C is the right angle.
Then the side opposite to the right angle is the hypotenuse.
So AB is the hypotenuse.
Now we are describing the sides in relation to the ∠B.
Side opposite to ∠B is AC, which is the opposite side.
Side adjacent to ∠B is BC, which is the adjacent side.
This is the description of Thomas.
Hence Thomas is correct about describing the sides in relation to ∠B.
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The complete question is as follows :
Two students describe the sides of right triangle ABC in relation to ∠B. Triangle A B C is shown. Angle A C B is a right angle. Tomas : AB is the hypotenuse. AC is the opposite side. BC is the adjacent side. Iliana : AB is the hypotenuse. BC is the opposite side. AC is the adjacent side. Who is correct? Explain. Tomas is correct; AC is opposite ∠B and BC is adjacent to ∠B. Iliana is correct; BC is opposite ∠B and AC is adjacent to ∠B. Both are correct because both AC and BC are opposite ∠B. Neither is correct because neither AC nor BC is opposite ∠B.
Complete the point-slope equation of the line through (−5,4) and (1,6).
Answer:
y-6=
A person who weighs 100 pounds on Earth weighs 16.5 pounds on the moon. If a boy weighs 60 pounds on Earth, how much does he weigh on the moon?
Answer:
The answer is 10 Pounds.
Step-by-step explanation:
You get 10 pounds because you divide your weight by 6 and 60 divided by 6 is 10.
Answer:
3.636363636
Step-by-step explanation:
Because that is 16.5 percent of 60, you can find this by dividing 60 by your percentage your trying to find of it, 16.5 in this case.
Find FJ plsssssssssssss
Answer:
the value of FJ would end up being 10
Answer:
10
Step-by-step explanation:
HELP PLEASE I’m having troubles!!!
1. The velocity at time t , v(t) = (18t² + 3 ) m/s
2. The velocity at time t = 3 seconds = 165 m/s
3. The acceleration at time t, a(t) =( 36t )m/s²
4. The acceleration at time t = 3 seconds = 108 m/s²
What is instateanou velocity and acceleration?The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.
Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.
1. s(t) = 6t³ + 3t +9
to find the velocity at time t, we differentiate s(t)
= 18t² + 3
2. at t = 3s
= 18(3)² +3
= 165 m/s²
3. v(t) = 18t² + 3
to get the acceleration at time t, we differentiate v(t)
= 36t
4. when t = 3
a = 36 × 3
= 108 m/s²
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national honors society is selling tickets to a winter wonderland fundraiser. the auditorium holds 300 people. tickets cost 10$ at the door and $7.50 if purchased in advance. the drama club has a goal of selling at least $1,200 worth of tickets to saturdays show write a system of inequalities that can be used to model the scenerio
A system of inequalities that can be used to model the scenario is d + a ≤ 300 and 10d ≥ 1,200.
What is a system of inequalities?A system of inequalities is two or more inequalities that must be proved simultaneously.
A system of inequalities contains at least two linear inequalities in the same variables.
Systems of inequalities are applied when there are a range of solutions and more than one constraint.
Inequalities may include greater than, less than, not equal to, equal to but less than, and equal to but greater than.
The total capacity of people the auditorium can hold = 300
The cost per ticket at the door = $10
The cost per ticket in advance = $7.50
Constraints:Tickets cannot exceed 300
Door tickets must generate at least $1,200
Inequalities:Let the number of tickets sold at the door = d
Let the number of tickets sold in advance = a
10d + 7.5a ≤ 300
10d ≥ 1,200
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Find the value of p.
-25 = -4p + 19
Answer:
9.75
Step-by-step explanation:
-25 = -4p + 19
-25 - 19 = -4p
-39 ÷ -4 = p
9.75 = p
A carpenter has $91 to buy wood. If each piece of wood costs $3, how many pieces can the carpenter buy?
Answer:
30 pieces----------------------------
Divide the total amount by the cost per piece:
$91 ÷ $3 = 30.3333Since the carpenter can only buy whole pieces of wood, they can buy 30 pieces.
Select the expression that represents the simplified difference.
Given: f(x) = x + 2 and h(x) = 1 / x-1
Find 2f(x) – h(x)
\(f(x) = x + 2\\\\h(x) = \frac{1}{x-1}\)
2. Write the operation.\(2(x+2)-(\frac{x}{x-1} )\)
3. Apply the associative property of multiplication.\((2)(x)+(2)(2)-(\frac{x}{x-1} )\\ \\2x+4-\frac{x}{x-1}\)
4. Express your result.\(2f(x)-h(x)=2x+4-\frac{x}{x-1}\)
The simplified expression for the given function is 2x + 4 - ( 1 / x-1). The correct option is A.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the functions are f(x) = x + 2 and h(x) = 1 / x-1. The value of the function 2f(x) – h(x) will be calculated as,
E = 2f(x) – h(x)
E = 2( x + 2 ) - ( 1 / x-1)
E = 2x + 4 - (1/x-1)
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Ariana invested $7500 in an account paying in interest rate of 2.9% compounded continuously assuming no deposits or withdrawals are made how much money to the nearest $10 would be in the account after 14 years
Answer:
11,260
Step-by-step explanation:
im pretty sure that the formula were were using was
A=Pe^rt.
That means, we have to plug it in the formula.
P= 7500
r= 0.029
t= 14
you calculate it and then to the nearest ten dollars, your answer will be
$11,260. :)
Using Exponential Function, the amount of money to the nearest $10 would be in the account after 14 years is $11,260.
What is Exponential function?Exponential function is "a function whose value is constant raised to the power of an argument, especially the function whose constant is e".
According to the question,
Ariana invested $7500 in an account paying interest rate 2.9% compounded continuously assuming no deposits or withdrawals are made.
In order to find amount of money after 14 years only if we use exponential function.
Formula to find amount of money after 14 years = P .\(e^(rt)\) where 'r' is the rate of interest and 't' is time period and 'P' is the Principal.
Amount of money after 14 years = P .\(e^(rt)\)
= (7500)\(e^(0.029)(14)\) [2.9% = \(\frac{2.9}{100}\) = 0.029]
= 7500\(e^(0.406)\)
= 7500 (1.5008) [The value of \(e^(0.406)\) = 1.5008]
= 11,256.
Hence, using Exponential Function, the amount of money to the nearest $10 would be in the account after 14 years is $11,260.
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for the forecasting process to be effective, internal data should be multiple choice highly aggregated. highly disaggregated. sampled once a year. none of the options are correct. kept on an annual basis.
For the forecasting process to be effective, internal data should be highly disaggregated
Predicting the future based on historical and current facts is the forecasting process. The most popular method for doing this is trend analysis. It is typically ideal to use internal data that is significantly disaggregated for forecasting to be successful. This means that rather than aggregating or summarizing the data at a high level, it should be broken down into as much detail as feasible.
Since highly disaggregated data presents a more complete and precise picture of the variables that may impact future events, forecasting can be done more accurately and dependably. This can include information about previous sales, manufacturing rates, inventory levels, costs, and other elements that can be important for forecasting. Whereas, using highly aggregated data can lead to less accurate and reliable forecasts, as it may not capture the full range of factors that may influence future outcomes.
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Elly and Julie are 18 miles apart on a path when they start moving toward each other. Elly runs at a constant speed of 4 miles per hour, and Julie walks at a constant speed of 6 miles per hour. How long does it take until Elly and Julie meet?
Elly and Julie meet 12km long distance.
How is the distance rate formula calculated?The relationship between distance, rate, and time is shown by the equation: distance=ratetimed=rt. You will have travelled 180 miles if, for instance, your speed is 60 mph and you drive for three hours.
Use the formula d = st, which says that distance is equal to speed times time, to calculate speed, distance, or time.
Speed is calculated as distance divided by time. You can also calculate the time by dividing the distance travelled by the speed. The third input can be calculated if you know two of the inputs. Using the formula 120 x 2 = 60 mph, we can calculate the speed of a car that travels 120 miles in two hours.
18*4 = 60
72-60 = 12 km.
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It would take Elly and Julie 1.8 hours to meet from their respective distance.
How is the distance rate formula calculated?The relationship between distance, rate, and time is shown by the equation: distance=ratetimed=rt. You will have travelled 180 miles if, for instance, your speed is 60 mph and you drive for three hours.
Use the formula d = st, which says that distance is equal to speed times time, to calculate speed, distance, or time.
Let's call the time (in hours) that it takes for Elly and Julie to meet as "t".
We know that Elly runs 4 miles per hour, so in "t" hours, she would have run 4 * t miles.
Similarly, Julie walks 6 miles per hour, so in "t" hours, she would have walked 6 * t miles.
Since they started 18 miles apart, they would meet when the sum of the distances that each of them has covered is equal to 18 miles:
4 * t + 6 * t = 18
Solving for "t":
10 * t = 18
t = 18 / 10
t = 1.8 hours
So, it would take Elly and Julie 1.8 hours to meet.
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Rounded to the nearest tenth, what is the perimeter of the triangle?
60°
5 cm
30°
Answer:
11.0 cm
Step-by-step explanation:
Answer:
11.8 cm
Step-by-step explanation:
2.5 + 5 + 2.5√3 = 7.5 + 2.5√3 = 11.8 cm
Match each pair of points a and B to point C such that ABC equals 90°
I don't really get what you mean
Question 3 (5 points)
A quadrilateral that has all congruent sides and all right angles is known as a
A) parallelogram.
OB) square.
OC) rectangle.
OD) rhombus.
A quadrilateral that has all congruent sides and all right angles is known as a square.
Given is a quadrilateral with all right angles and congruent sides.
What is a Quadrilateral?A four-sided polygon having four sides and four corners is referred to as a quadrilateral in geometry .
What are Congruent sides?Congruent sides refers to a figure's sides being equal to one another.
We know that,
A square is a quadrilateral with angles that are each 90 degrees.
Additionally, a square has four equal sides, making it a quadrilateral having all sides congruent.
As a result, a square is a quadrilateral with congruent sides and all right angles.
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The foot of a ladder is placed 7 meters from a wall. If the top of the ladder rests 9 meters up on the wall, how long is the ladder?
Answer:
8 meters
step-by-step explanation:
8 is in between 9 and 7
y – 2 = 3(x - 1)
thank you
Answer:
YOUR WELCOME
\(\:\)
y = 3x − 1
Using the slope-intercept form, the slope is 3.
m = 3
Are the lines parallel, perpendicular, or neither? 2x-3y=4 and 6y=4x+1
Answer:
parallel
Step-by-step explanation:
ABCD is a rectangle. CDE is a triangle. |AD|= 4cm. E is on |AB| such that |DC|=|DE|=5cm. Calculate |AE|
the value of k for the given right-angle triangles is 5.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, Two right-angle triangles one of them has a height of 7 cm and a weight of 1 cm. While others have a height and base of the same measurement k.
The Hypotaneuse of the triangles is equal and the same.
From the general formula of the Pythagorean theorem
Hypotaneuse² = height + bsase²
in a triangle with a height of 7
Hypotaneuse² = 7² + 1²
Hypotaneuse² = 49 + 1
Hypotaneuse² = 50...(1)
In a triangle with a height of k
Hypotaneuse² = k² + k²
Hypotaneuse² = 2k²....(2)
Since Hypotaneuse is the same
From comparing both equations
50 = 2k²
k² = 25
k = 5
therefore, the value of k for the given right-angle triangles is 5.
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=
Divide.
O EXPONENTS AND POLYNOMIALS
Dividing a polynomial by a monomial: Multivariate
(12y'u²-32ysu+15y¹uº) ÷ (-4y²u³)
Simplify your answer as much as possible.
0
X
010
Ś
The simplified expression when a polynomial is divided by a monomial is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)
What is factoring?A polynomial expression can be represented as a product of other, smaller polynomial expressions through the algebraic process of factoring. The process of factoring can be used to simplify expressions and solve problems. A polynomial equation's roots can be found by factoring, as can the common factors in an expression that can be eliminated. Factoring occasionally enables us to spot trends and connections between several expressions.
Depending on the kind of polynomial and the degree of the terms involved, there are several ways to factor. S
For the given expression \((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\) factor the common term.
\((12y^7u^2-32y^5u^6+15y^7u^6) / (-4y^2u^5)\\-4y^5u^2(3y^2 - 8u^4 - 3y^2u^4) / (-4y^2u^5)\)
Cancelling the -4:
\(= y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2)\)
Hence, the simplified expression is \(y^3 / u^3 (8u^4 - 3y^2u^4 - 3y^2).\)
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from a point 1.75 m above the ground and 10 m away from a tower the angle of elevation of a top of a tower is 60 degree calculate the height of the tower
Answer:
17.32 meters
Step-by-step explanation:
Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.
Using trigonometry, we can calculate that:
tan (60) = H / 10
H = 10 * tan (60)
H = 10 * √3
H = 17.32 m
Therefore, the height of the tower is 17.32 meters.
Let me know if I helped :)
4/9
is the additive inverse of which number?
Answer:
4/9
Step-by-step explanation:
The senior class sells movie tickets to students and teachers. The student tickets cost $4 each and teacher tickets cost $8 each. If they earned only $44 and one (1) teacher ticket was sold, how much money was made from the teacher ticket? * A. $8 B. $10 C. $12 D. $16
Answer:
A:8
Step-by-step explanation:
Because it says how much money was earned from a teacher. And only 1 teacher bought an $8 ticket.
It's Friday afternoon and six fraternity brothers at UNC havejust attended their last class of the semester. To unwind beforethe final exam Monday morning, they decide to spend the weekend atthe beach. After a weekend of immature, irresponsible behavior,they oversleep Monday morning and miss the final exam. Later thatday they go to their professor (who received her Ph.D. from NCState) and explain that they went to the beach and were on the wayback for the final exam but their car (a BMW of course) had a flattire. The professor says that they can come back the next morningand she will give them a make-up final exam consisting of oneshort-answer question! The students are ecstatic and high-five eachother all the way back to the frat house. The next morning theprofessor puts each student in a different room and hands themtheir one-question test. The question: Whichtire?
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What is the probability that all 6 students will say that thesame tire was flat? (Use 5 decimal places.)Hint: the answer is NOT(1/4)^6.
The expression 3s + s + 3 represents how much Alex and his family will spend to go to the movies. Which statement explains how this expression can be simplified?
Answer:
Step-by-step explanation:
The expression 3s + s + 3 represents the total amount Alex and his family will spend to go to the movies. To simplify this expression, we can combine like terms.
The terms 3s and s are like terms because they both have the variable "s" raised to the power of 1. To combine them, we add their coefficients:
3s + s = (3 + 1)s = 4s
Therefore, the simplified expression is 4s + 3, which represents the total amount Alex and his family will spend to go to the movies.
Answer the questions below to find the total surface area of the can.
please help I will give you 100 points
Answer:11 can and 11 for rectangle
Step-by-step explanation:added both sides
Given the inequality 12.5 < n < 12.6, what is a possible value for n?
Step-by-step explanation:
The given expression states taht any number between 12.5 and 12.6 would fall into the possible value category for n. We can use 12.51, 12.55, 12.575 along with any number between 12.5 and 12.6.
Hope this helps!
What are the new coordinates of the figure above if it is dilated by a scale factor of , with the origin as the center of dilation?
Answer:
could you show a picture and repost thx
Step-by-step explanation:
367589+667556755788654578645
Answer: 667556755788655000000
Step-by-step explanation: braniliest pls
Please awnser asap I will brainlist
They can buy 120 vans, 60 small trucks, and 80 large trucks.
How to find the number of van, small trucks and large truck needed?The truck company plans to spend 10 million on 260 vehicles. Each commercial van cost 25,000 dollars. Each small truck 50,000 dollars and each large truck 50,000 dollars. They needed twice as many van as small truck
Therefore,
let
s = number of small truck
number of van = v
let
l = number of large truck
v + s + l = 260
25,000(v) + 50,000(s) + 50,000(l) = 10,000, 000
v + 2s + 2l = 400
Hence,
v = 2s
So,
2s + 2s + 2l = 400
4s + 2l = 400
2s + s + l = 260
3s + l = 260
2s + l = 200
s = 60
l = 200 - 2(60)
l = 200 - 120
l = 80
v = 2(600 = 120
Therefore, they can buy the following:
number of small truck = 60
number of van = 120
number of large truck = 80
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When Adding integers, how many RULES are there?
A. 0 Rules
B. 1 Rule
C. 2 Rules
D. 3 Rules
Answer: 4 Rules
Step-by-step explanation:
To add integers having the same sign, keep the same sign and add the absolute value of each number. To add integers with different signs, keep the sign of the number with the largest absolute value and subtract the smallest absolute value from the largest. Subtract an integer by adding its opposite.
Answer:
I belive its c
Step-by-step explanation:
there are two rules for adding integers